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Scholars' Mine Scholars' Mine Masters Theses Student Theses and Dissertations 1970 Computerized methods for estimating heating-cooling-ventilating Computerized methods for estimating heating-cooling-ventilating system usage in all-electric buildings system usage in all-electric buildings Carl William Glaser Follow this and additional works at: https://scholarsmine.mst.edu/masters_theses Part of the Electrical and Computer Engineering Commons Department: Department: Recommended Citation Recommended Citation Glaser, Carl William, "Computerized methods for estimating heating-cooling-ventilating system usage in all-electric buildings" (1970). Masters Theses. 7117. https://scholarsmine.mst.edu/masters_theses/7117 This thesis is brought to you by Scholars' Mine, a service of the Missouri S&T Library and Learning Resources. This work is protected by U. S. Copyright Law. Unauthorized use including reproduction for redistribution requires the permission of the copyright holder. For more information, please contact [email protected].
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Page 1: Computerized methods for estimating heating-cooling ...

Scholars' Mine Scholars' Mine

Masters Theses Student Theses and Dissertations

1970

Computerized methods for estimating heating-cooling-ventilating Computerized methods for estimating heating-cooling-ventilating

system usage in all-electric buildings system usage in all-electric buildings

Carl William Glaser

Follow this and additional works at: https://scholarsmine.mst.edu/masters_theses

Part of the Electrical and Computer Engineering Commons

Department: Department:

Recommended Citation Recommended Citation Glaser, Carl William, "Computerized methods for estimating heating-cooling-ventilating system usage in all-electric buildings" (1970). Masters Theses. 7117. https://scholarsmine.mst.edu/masters_theses/7117

This thesis is brought to you by Scholars' Mine, a service of the Missouri S&T Library and Learning Resources. This work is protected by U. S. Copyright Law. Unauthorized use including reproduction for redistribution requires the permission of the copyright holder. For more information, please contact [email protected].

Page 2: Computerized methods for estimating heating-cooling ...

COMPUTERIZED METHODS FOR ESTIMATI NG

HEATING-COOLING-VENTI LATING SYSTEM

USAGE IN ALL-ELECTRIC BUI LDINGS

BY

CARL WILLIAM GLASER

BORN 1935

A

THESIS

submitted to the faculty of

UNI VERSITY OF MISSOURI - ROLLA

in partial fulfillment of the requirements for the

Degree of

MASTER OF SCIENCE IN ELECTRICAL ENGINEERING

Rolla, Missouri

1970

Approved by

1:;~~~~~~~~~~=--(advisor) ~A a.~c?y ~\

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ABSTRACT

This thesis develops a method and a resulting computer

program for estimating the energy input required by the

heating-cooling-ventilating system of a building. The

computer program has the ability to model the ventilating

system and all the inefficiencies introduced when the heating

system is allowed to fight the cooling system to provide

temperature control within the conditioned space. The program

also can consider mechanical heat reclaim accurately, making

the consideration on a time of need versus a time of occurrence

basis.

The program is written to utilize input data in rather

simplified form. This allows the program to be used during

early design stages for a project when only general concepts

ii

are available to get comparisons of types of systems, or final

design characteristics may be used to prepare highly accurate

estimates. Weather data is used in such a form that average

data for a period of years can be used for input or any specific

year may be used individually.

Page 4: Computerized methods for estimating heating-cooling ...

ACKNOWLEDGEMENTS

The author wishes to thank Professor J. D. Morgan,

University of Missouri - Rolla, for his advice and

iii

assistance in preparing this thesis and Mr. George C. Wagner,

Union Electric Company, and Union Electric Company for

allowing the work done by the author to be used as the

subject matter for this thesis.

Page 5: Computerized methods for estimating heating-cooling ...

iv.

TABLE OF CONTENTS

Page ABSTRACT . ••.•..•••.•.•••....•.••..•••......••...•.••...•...•.. ii

ACKNOWLEDGEMENT • ••••••••••••••••••••••••••••••••••••••••••••• iii

LIST OF ILLUSTRATIONS .....•..••..••..••..•.•.• o ••••••••••••••• vi

LIST OF TABLES .•...•••..•...••••.•......••.••••..•••••.•...•. vii

I. INTRODUCTION . .•.••••••••.••••••...••••...•••••••••••.•. • l

II. REVIEVV OF LITERATURE . •••.••.•••.•.••.•.•....•••.• o ••• ••• 4-

III. DEFINITIONS AND DESCRIPTION OF WEATHER DATA .•.•••.••••.• 7

A. DEFINITION OF TERMS .•••••••. o .•.••.•..•.......•... 7

B. WEATHER DATA .•.••••.••••••••.•.•••.•••..••...•.•.• 9

IV. DEVELOPMENT OF THE SYSTEM MODEL ...•.••...•.••••••.•..•. l2

A. IN-SPACE MODEL ...•.•. o •••••••••••••••••••••••••• o 12

B. VENTILATING SYSTEM MODEL ....•.•..•.•.•.••••...•.. 23

l. DEFINED MIXED AIR TEMPERATURE PROFILE .... o •• 25

2. UNDEFINED MIXED AIR TEMPERATURE PROFILE ..•.. 26

V. DESCRIPTION OF THE COMPUTATIONAL METHOD ..•.••.•.•...•.• 32

VI. COMPUTER PROGRAM DOCUMENTATION ..•...... o.•o••··········36

A. DISK DATA FILES .•...•.••.......•...•............. 36

B. PROGRAM FLOW CHART .•.••••••...•••....•••....•.•.. 3 7

C. INPUT FORrviS • .••••••••••••••.••••••.•••.••••.••. •. 48

D. ERROR DISCUSSION ....•••••..•....•...•..•.•...... o 55

VII. TEST PROBLEM AND COMPARISON WITH ACTUAL DATA .. o •....•.. 58

VIII. CONCLUSIONS ...•....•.•••. o. o •••••••••• o •••••••••••••••• 76

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v.

Page IX. APPENDICES . . . . . . . . • . . • • • • . . • . . . • . . • •.•..•••... g ••••• 7 9

A. COMPUTER PROGRAM LISTING ...•.•...•••....•.•... 79

B. WEATHER DATA UTILITY PROGRAMS •... a ••••••••••• ll2

C. WEATHER DATA FILE •..••••...•••....•.•.•••.••. ll8

X. BIBLIOGRAPHY ... ....•••.•.••••••.••...•...••••....• • 131

XI. VITA ............................ o •••••••••••••••••• 132

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vi.

LIST OF ILLUSTRATIONS

Figures Page

l. Monthly weather data for program .••.••••••••••••••••• 11

2. Plot of in-space or room requirements

versus outdoor temperature ••••••••••••••••••••••••••• 1~

3. Plot of solar gain correction factors .••••••••••••••• 20

~. Camp on en ts of plenlll11 heat balance .•••••••.••••••••••. 2 8

5. S ys tern flow chart ••••••••.•••.•••..•.•.••.•.••.•••••• ~3

6. Input data folllls ..................................... 49

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Table

I.

LIST 0 F TABLES

Table of average corrected total intensities

striking vertical surfaces - average of

south, north, east and west exposures in

vii.

Page

B tu/ s q • ft. . ........................................ 18

II. Table of differences be tween average corrected

solar intensities and individual monthly

corrected solar intensities from Table I. in

Btu/sq. ft. . ........................................ . 19

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I. INTRODUCTION

During the past 10 to 15 years, many electric utilities

have seen their systems become the victim of large summer

l.

air conditioning loads which have reduced annual load factors

and resulted in summer generating peaks far greater than

winter peaks. Union Electric Company in St. Louis had a

summer peak of ~000 MW in 1969 with an annual load factor of

slightly more than 50% for the year. This combined with the

fact that transmission and distribution facilities in our area

have about ~0% greater load capacity in winter than in summer

have prompted Union Electric to look for s~lective loads that

will take advantage of this summer-winter unbalance to better

utilize system facilities and maximize return on investment.

Electric space heating is a load that has the potential to

bring back into balance summer and winter peaks and to greatly

improve annual load factor.

Electric utilities have spent large sums of money; and

expended many manhours promoting electric space heating.

Virtually all companies now have special rates for space heat­

ing. Union Electric Company 1 s rates are such that electric

heating should be considered for every new building being

constructed, with electric heating being competitive with

other fuels in most instances. This means that to effectively

promote space heating, the utility engineer must be able to

Page 10: Computerized methods for estimating heating-cooling ...

quickly and accurately evaluate a project and its proposed

heating system. This is relatively easy for small buildings

such as homes, small stores, etc. because they are either a

heating load or a cooling load at any given time and the

system required to satisfy the needs of the building are

relatively simple.

Such is not the case for larger buildings. Internal

2.

lighting loads in larger buildings, combined with an archi­

tectural philosophy that permits large internal building

areas that have no outside exposure and consequently no heat

loss, result in buildings that almost always present a simul­

taneous heating and cooling load for different parts of the

building. Also, in most instances, the heating and cooling

systems are worked against one another to gain temperature

control in the space. These problems and the fact that the

heating and cooling loads vary with the solar heat gain on the

perimeter of the building further complicate the situation.

Finally, these, and relatively new techniques such as mech­

anical heat reclaimation and air-handling light fixtures have

combined to result in an unsolved problem of providing acc­

urate electric heating and cooling estimates that can be cal­

culated without unreasonable amounts of effort on the part of

the engineer.

The purpose of this thesis is to set forth a method that

Page 11: Computerized methods for estimating heating-cooling ...

3.

will accurately, to within 10%, produce an estimate of electri­

cal consumption for the heating and cooling system in any build­

ing, giving consideration not only to building thermal

characteristics but also to the particular heating-cooling-

ventilating system chosen. Since the calculations are so

numerous, any manual attempt at using this method is not prac­

tical, hence the end result of this thesis is a computer program

utilizing this method. The program is written for an IBM

System 1130 having an 8 K core memory and 256,000 words of on­

line disk storage.

The method of estimating and its associated program are

not intended to be an exact simulation technique, but rather

an accurate approximation utilizing simplified data inputs

and a relatively small and inexpensive computing system. The

important points developed in this method are the accurate

modeling of the heating and cooling system including ventila­

tion air; the ability to reco~1ize concurrent heating and

cooling requirements; the ability to determine the efficien­

cies of different systems using heating vs. cooling to gain

temperature control; and the ability to evaluate mechanical

heat reclaim on a time of occurence vs. a time of need basis.

Page 12: Computerized methods for estimating heating-cooling ...

II. REVIEW OF LITERATURE

Work has been done in the past on this subject by

Westinghouse Electric Corp., Arkansas Power and Light Company,

and American Electric Power. Work is presently under way by

Edison Electric Institute, Automated Procedures for Engineer­

ing Consultants, United Stated Post Office Department and

American Society of Heating, Refrigeration, and Air Condi­

tioning Engineers. A brief description of past work by the

individual companies listed above is as follows:

A. WESTINGHOUSE ELECTRIC CORPORATION

A computer program was originally developed for an IBM

70 94- sys tern. This program received as input data the building

construction characteristics and physical dimension data. It

then calculated heat loss and heat gain, and simulated a year 1 s

operation by using hourly U. S. Weather Bureau data for any

given location. It took these results and applied different

system configurations of equipment to determine energy input

to the building. Primary disadvantages of this method were

that no consideration of ventilating system type was included,

the building was always treated as a cooling load or a heating

load and never as a simultaneous condition, and only one

operating condition for inside temperature and ventilation

was allowed. Another great disadvantage was that very few

4-.

Page 13: Computerized methods for estimating heating-cooling ...

utilities had a computer comparable to the 709~ on which to

execute the program. This meant that anyone using the program

had to go to a service bureau type of operation which usually

is not satisfactory with this type of work.

B. ARKANSAS POWER AND LIGHT COMPANY

The work done by these people basically consisted of

taking the Westinghouse program and modifying it for use on

an IBM System 1130. VirtuaLly no changes were made in program

logic and as a result, the program still did not consider the

building as a simultaneous load, and only one operating condi-

tion could be studied. This program had the further disadvan-

5.

tage of taking a minimum of 1.3 hours to execute in its simplest

form with an additional 1 hour being added for each zone above

the first zone. The greatest advantage of this program was that

it utilized a small and inexpensive computing system and could

be used within the user company.

C. AMERICAN ELECTRIC POWER

This company also started with the Westinghouse program,

made certain revisions, added more types of systems for con-

sideration and wrote the program for an IBM System 360/50. This

program is propria tary and administered by the Electric Heating

Association to member companies only and run by American Electric

Power on their computer. The program still has the previously

Page 14: Computerized methods for estimating heating-cooling ...

6.

mentioned inaccuracies of no simultaneous heating and cooling

consideration and no modeling of the ventilating system. This

program is further complicated by the fact that no listing of

the program is available and this immediately minimizes its

value as a sales aid.

D. WORK PRESENTLY UNDER WAY

The work presently under way includes those groups ment-

ioned previously in this section. In most instances, they are

at least two to four years away from any meaningful results.

Also, in the case of the American Society of Heating, Refriger­

ation and Air Conditioning Engineers, their method will probably

be such that the accurate simulation technique they are develop­

ing will require the detailed design of the system for input

data. This will greatly limit the usefullness of such a method

because it will not be easily usable as a design tool in the

early stages of system choice.

Page 15: Computerized methods for estimating heating-cooling ...

7.

III. DEFINITIONS AND DESCRIPTION OF WEATHER DATA

At this point, it would be well to define terms that will

be used throughout this thesis in developlng the mathematical

model for the system. Also, an understanding of the form that

the weather data takes on for this application is necessary.

A. DEFINITION OF TERMS

A brief definition of some of the terms used in the

following discussion will avoid confusion on the part of the

reader.

l. RETURN AIR TEMPERATURE

Temperature of air returning to ventilating system

from the conditioned space. It may be constant

at room temperature or variable if returned through

a ceiling plenum or cavity.

2. MIXED AIR TEMPERATURE

Temperature of the mixture of return air and fresh

outside air prior to being conditioned by heating

and cooling system.

3. CEILING RETURN AIR PLENUM

A system where return air is drawn through lighting

fixtures or grilles into the space above the ceiling

and returned to the supply air fan. Some of the

heat generated by light fixtures is prevented from

entering the conditioned space thereby reducing

Page 16: Computerized methods for estimating heating-cooling ...

the cooling requirement of the space. Under this

condition, the return air temperature can differ

from room temperature.

4. IN-SPACE REQUIREMENTS

Those heat loss and heat gain components that occur

within the conditioned space or area. They include

gains and losses from walls, floors, glass, people,

lights, other internal loads, roof (only if a ceil­

ing return air plenum is not used) and ventilation

or infiltration (only if a central ventilating

system is not used).

5. BALANCE TEMPERATURE

The temperature at which the heat losses of a space

are just equal to the internal heat gains including

people but not including solar heat gain.

6. UNIT SYSTEM

A conditioning system where the heat exchanger is

located within the given room or space. This ex-

8.

changer may be supplied with energy from some remote

location but the exchange of heat actually takes

place within this room. Examples of this are base-

board heaters, unit ventilators, finned radiation,

etc.

7. CENTRAL SYSTEM

A system where the heat exchanger is located out­

side the conditioned room and it serves more than

Page 17: Computerized methods for estimating heating-cooling ...

one room or space. Examples of this are central

ventilating systems.

8. MECHANICAL HEAT RECLAIM

A mechanical air conditioning machine that has

double condensing water circuits with one circuit

going back to the heating system hot water circuit.

This enables heat mechanically removed from one

area of the building to be put back into the build­

ings heating system.

B. WEATHER DATA

9.

Weather data for virtually all cities is available on an

hourly basis for past years from the U. S. Weather Center in

Ashville, North Carolina. The data available includes dry

and wet bulb temperatures, barometric pressure, wind condi­

tions, precipitation and cloud cover for each hour of the

year. Since this program is not an hour by hour simulation,

the data in this form is not of great value since sequential

processing of hourly temperature readings is too time con­

suming. Methods presently used by Union Electric Company

for electric heating estimates accept weather data arranged

by total number of hourly observations per month within 5° F.

temperature ranges. For simple space heating estimates, this

is within reasonable accuracy without considering the hour of

of the day that the observation occurred. When the estimates

are to include air conditioning and mechanical heat reclaim,

Page 18: Computerized methods for estimating heating-cooling ...

10.

it becomes necessary to consider also the hour of the day in

which the observation occurred. This is necessary because part

of the cooling load is radiant load not present at night; and

when considering heat reclaim, the heat reclaimed must be avail-

able for use at the hour when it is needed.

Weather data for this program was set up monthly on the

basis shown in Figure 1 where hourly temperature observations

0 were segregated by 5 F. temperature ranges and by hour of

occurrence. Along with this, the average humidity ratio for

temperature ranges above 70°F. is included to enable an esti-

mate for maintaining fixed humidity conditions. This program

only calculates summer dehumidification and humidity ratios

0 are zeroed for temperature ranges below 70 F.

Weather data is not available in this form and must be

sorted and preferably averaged over a period of years. The

original data mentioned previously is available from the U. S.

Weather Bureau and a computer program for processing the data

into the form of Figure l is included in Appendix C. The

complete set of weather data used for the test case presented

in Chapter VII is included in Appendix B.

Page 19: Computerized methods for estimating heating-cooling ...

--------------------HOURLY TEMPERATURE OBSERVATIONS-------------------- AVE• TEMP• ----------------A M----~-~---------•----------------P M---------------- HUMID• RANGE 1 2 3 4 5 6 7 8 9 10 11 12 l 2 3 4 5 6 7 8 9 10 11 12 RATIO

---~------ -- -- -- -- -~ -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -------5 TO -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 o.oooo

0 TO 4 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 o.oooo 5 TO 9 1 1 1 0 0 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 o.oooo

10 TO 14 2 2 2 2 3 2 4 3 3 3 0 0 0 0 0 0 0 0 0 1 l 1 l 1 o.oooo 15 TO 19 l 2 2 4 2 2 1 1 1 2 3 2 l l l 1 1 2 2 l 1 2 2 2 o.oooo 20 TO 24 4 5 4 2 4 4 6 5 6 4 4 2 2 2 1 0 1 1 2 2 3 2 2 3 o.oooo 25 TO 29 4 4 7 7 7 8 6 a 7 5 3 5 3 2 3 3 2 2 4 3 5 5 5 6 o.oooo 30 TO 34 7 5 3 4 5 3 3 3 3 6 6 3 4 3 4 4 4 4 4 5 3 6 a 6 q.oooo 35 TO 39 5 4 5 4 4 5 5 3 4 4 4 5 5 3 2 3 4 6 6 8 8 5 4 6 o.oooo 40 TO 44 3 3 3 3 1 1 2 3 2 3 5 6 5 8 7 9 a 6 6 4 3 6 5 3 o.oooo 45 TO 49 1 2 1 2 2 2 1 2 2 1 2 2 5 3 3 3 2 4 2 2 3 0 0 0 o.oooo 50 TO 54 1 1 1 1 2 2 2 1 1 2 2 2 0 3 5 3 4 1 0 0 0 1 2 1 o.oooo 55 TO 59 2 2 2 1 0 0 0 0 0 1 2 2 3 1 0 0 1 2 3 4 4 3 2 3 o.oooo 60 TO 64 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 2 1 2 2 1 0 0 0 0 o.oooo 65 TO 69 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 3 1 0 0 0 0 0 0 o.oooo 70 TO 74 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 o.oooo 75 TO 79 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 o.oooo 80 TO 84 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 o.oooo 85 TO 89 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0·0000 90 TO 94 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 o.oooo 95 TO 99 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 o.oooo

100 TO 104 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 o.oooo 105 TO 109 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 o.oooo 110 TO 114 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0•0000

HOURLY WEATHER OBSERVATIONS AT U•S• WEATHER BUREAU STATIONt ST• LOUIS MUNICIPAL AIRPORT FOR YEAR 1964t MONTH OF JANUARY

MONTHLY WEATHER DATA AS STORED FOR PROGRAM

FIGURE 1.

Page 20: Computerized methods for estimating heating-cooling ...

12.

IV. DEVELOPMENT OF THE SYSTEM MODEL

The model for this program consists of two major model

components and a number of sub-models. Dependent upon the

heating system selected, the program may use all major models

and all sub-models or as few as just one major model and no

sub-models.

A. IN-SPACE MODEL

The in-space model concerns itself with only those cond­

itions that occur within the conditioned space. Assume for the

moment a simple room as the conditioned space. That room may

have as minimum considerations structural heat loss, structural

and solar heat gain, heat gain from lights and other loads and

heat gain from people. The room may also have ventilation or

infiltration (ingress of outside air around windows and doors)

loads dependent upon the type of heating system used. If the

room has a unit type system, then the ventilation and infil­

tration heat gains and losses become part of the in-space

module. If the room is supplied by a central ventilating

system, then these loads are a part of the ventilating system

model.

One major assumption that will be made is that solar and

structural heat gain will not be considered until the space has

attained its balance temperature. This assumption will tend to

Page 21: Computerized methods for estimating heating-cooling ...

13.

increase space heating requirements and minimize cooling req-

uirements. The actual effect of this will be discussed further

under the general heading of errors.

Figure 2 gives a graphical representation of the heating

or cooling requirements of the space. Those quantities above

the x-axis represent heating loads and those below represent

cooling loads. The expression for heat requirement Q is as

follows:

When T ( TB,

Q =Structural Heat Loss (T) - Internal

Sensible Heat Gain.

Q =Structural Heat Loss (T) - Internal Sensible

Heat Gain- Solar and Structural Heat Gain (T).

When T > TIS,

Q = - Internal Sensible Heat Gain - Solar and

S true tura l Heat Gain (T) - In te rna l La tent

Heat Gain (T).

Where:

Q = Heat Requirement maintaining sign integrity.

Positive values are heating requirements and

negative values are cooling requirements, in Btu/hr.

0 T =Outdoor ambient temperature in F.

TB= Balance Temperature in °F. where the internal

sensible heat gain balances heat loss.

Page 22: Computerized methods for estimating heating-cooling ...

Design Heat Loss

Design Heat Gain

,~~---Gross Buil ing or In-Space eat Loss

Temperature

Fixed Internal Sensible Heat Gain

Solar Heat

Structural and Solar Heat Gain

g or Cooling Reg irement

Internal Latent Heat G in -.1

PLOT OF IN-SPACE OR ROOM REQUIREMENTS VERSUS OUTDOOR TEMPERATURE

FIGURE 2.

14.

Page 23: Computerized methods for estimating heating-cooling ...

15.

TIS = Inside or in-space temperature in °F.

These general equations can be furthur formalized in the

initial case for T < TB'

Q = HL

Where:

(TIS - T)

l ) - HGLT - HGps - HGOTH Tis - TwD

(l)

HL =Design Heat Loss in Btu/Hr.

HGLT =Heat Gain to Space from lighting in Btu/Hr.

HGps = Sensible Heat Gain to Space from people in

Btu/Hr.

HGOTH = Heat Gain from any other Internal Source in

Dtu/Hr.

TwD =Outdoor Winter Design Temperature in oF.

By successively evaluating (l) for increasing values of T

and checking Q for positive sign, when Q becomes negative, the

value of TB has been determined. Progressing then to the

second case for TD < T ~ Tis,

(Tis-T) (T-TB) Q = HL (Trs-TwD) - HGsT (TsD-TB) - HGLT - HGps - HGoTH (2)

Where:

HGST = Design Structural and Solar Sensible Heat

Gain in Btu/Hr.

0 = Outdoor Summer Design Temperature in F.

Page 24: Computerized methods for estimating heating-cooling ...

16.

Q as determined by (2) will have a negative value repre-

senting a cooling load. The third case is for T > TIS,

Where:

HGPL =Heat Gain to Space from People, Latent in

Btu/Hr.

In the foregoing (l), (2) and (3), any portion of the

lighting load given up to a ceiling air plenum must not be

included if the space has a ceiling plenum. When the space

has a ceiling plenum, the appropriate value for HGLT becomes,

(LJ-)

Where:

KWLT = Lighting Load in KW.

PRA = Per cent of Lighting Load given up to Ceiling

Plenum. This value is available from fixture

manufacturer.

These equations provide the basic formulation for determining

the heat requirement (Q) of the space. Equations (2) and (3)

must now be adjusted for variations of structural and solar

heat gain (HGsr) related to hour of occurrence. Since no solar

gain is present during night hours and the amount present during

day hours varies with season, the correction factor must vary

to attempt to match the actual conditions.

Page 25: Computerized methods for estimating heating-cooling ...

17.

Data was taken from the American Society of Heating, Ref­

rigeration and Air Conditioning Engineerrs Guide giving solar

radiation intensities in Btu/Sq. Ft. on vertical surfaces

during daylight hours for each month. These were averaged for

north, east, south and west exposures for the design day of

each month. Table 1 shows this table of solar radiation in­

tensities. Also shown is a temperature correction factor which

includes heat gain due to outside temperature above room temp-

erature. This correction factor has been applied to only those

intensities having the parenthesis below indicating the amount

included in that particular intensity. This temperature corr­

ection factor is based upon expected maximum daily temperature

and single pane glass for the structure.

For the purposes of simplicity in structuring the computer

program, one correction curve for the year with different cut­

off points for each month would be most usable. The average

corrected solar intensity for each hour under consideration was

then calculated as shown in the average row of Table l. A diff­

erence table was then constructed showing the difference bet­

ween the hourly average and the actual corrected solar inten­

sity. The differences for each month were then summed and

considered with respect to the total average corrected solar

intensity for that month to determine the monthly percent

difference. Table 2 shows this difference table and the result­

ing monthly differences.

Page 26: Computerized methods for estimating heating-cooling ...

Max.Corr. 6 7 8 9 10 ll 12 l 2 3 4- 5 6 7 - - - - - - - - - - - - -

Jan. 0 0 0 4-9 84- 92 85 78 85 92 84- 4-9 0 0 0

Feb. 0 0 0 74- 93 96 87 78 87 96 93 74- 0 0 0

Mar. 0 0 50 80 93 93 82 73 82 93 93 80 50 0 0

Apr. 0 27 61 77 84- 83 73 65 73 83 84- 77 61 27 0

May 6 0 4-9 68 75 83 80 70 64- 70 80 83 75 68 4-9 (6) (6) (6) (6) (6) (6) (6)

June 17 8 55 71 80 86 82 77 70 77 82 86 80 71 55 (6) (12) (12) (17) (17) (17) (12) (6)

July 22 l 4-8 68 81 92 89 86 79 86 89 92 81 68 4-8 (7) (15) (15) (22) (2 2) (22) (15) (15) (7)

Aug. 17 0 26 60 81 94- 93 89 82 89 93 94- 81 60 26 (6) (12) (12) (17) (17) (17) (12) (12) (6)

Sept. ll 0 0 4-5 77 93 96 92 84- 92 96 93 77 4-5 0 (4-) (8) (ll) (ll) (ll) (8) (4-)

Oct. 6 0 0 14- 70 91 94- 91 83 91 94- 91 70 14- 0 (6) (6) (6)

Nov. 0 0 0 4-7 82 90 84- 77 84- 90 82 4-7 0 0 0

Dec. 0 0 0 30 76 87 82 76 82 87 76 30 0 0 0

Ave. 4-7 68 81 90 85 79 79 87 87 87 71 66 4-4-

NOTE: Values shifted for daylight savings time and maximum correction calculated by: Max. Carr. = ~ax. Daily Temp. - Inside Temp.) x 1.13 BTU/S.F. x l S.F. x l S.F.

TABLE OF AVERAGE CORRECTED TOTAL INTENSITIES STRIKING VERTICAL SURFACES - AVERAGE OF SOUTH, NORTH, EAST & WEST EXPOSURES IN BTU/SQ. FT.

TABLE I t-' C1J .

Page 27: Computerized methods for estimating heating-cooling ...

7 8 9 10 ll 12 1 2 3 4 5 6 7 Total Diff. % Diff. - - - - - - - - - - -Jan. +3 +2 0 -l +6 +5 -3 +12 +2.0

Feb. +12 +6 +2 -l +8 +9 +6 +42 +7.1

Mar. +12 +3 -3 -6 +3 +6 +6 -7 -21 -7 -0.9

Apr. +14 +9 +l -7 -12 -14 -6 -4 -3 -10 -10 -42 -4. 9

May +2 0 -6 -7 -5 -9 -15 -17 -7 -4 +4 +2 +5 -57 -5.9

June +8 +3 -l -4 -3 -2 -9 -10 -5 -l +9 +5 +ll +l 0. 0

July +l 0 0 +2 +4 +7 0 -l +2 +5 +10 +2 +4 +36 +3.7

Aug. -21 -8 0 +4 +8 +10 +3 +2 +6 +7 +10 -6 -18 -3 -0.3

Sept. -4 +3 +ll +13 +5 +6 +9 +6 +6 +55 +7.4

Oct. -11 +l +9 +12 +4 +4 +7 +4 -l +29 +3.9

Nov. +l 0 -l -2 +5 +3 -5 +l 0.0

Dec. -5 -3 -3 -3 +3 0 -11 -22 -3.7

Average 0.5

TABLE OF DIFFERENCES BETWEEN AVERAGE CORRECTED SOLAR INTENSITIES AND INDIVIDUAL MONTHLY CORRECTED SOLAR INTENSITIES FROM TABLE I.

TABLE II

!-"' lO .

Page 28: Computerized methods for estimating heating-cooling ...

,.... 0 +.1

I:: () •.-i n:l n:l~

(.!)

!=: ,.... 0 n:l •.-i

,..-4+.1 0 ()

CJ)Q) ,.... ~ 0 u

,._. 0 +.1

!=: CJ •.-i n:l n:l~ (.!)

H § n:l ·.-i ....-4~ 0 ()

CJ)Q) ~ ,._. 0 u

1.0

0. 5

0. 0

1.0

0. 5

0. 0

MONTHS OF JANUARY, FEBRUARY, NOVEMBER AND DECF}1BER

IH- ~ . 1

~,'>--~[:t __ --+--,_

+ :1. f :t t 8r*-r--t -• --l--

~ ! ~ j_ 1-r- t-J:t= _L - t-

- t- : t t c ;-- + ·+ :- -I I I 1 :r I f ~ .. :t 1- i- +-t t . -1- ,_ -j_ -L ··t- .t_.

j~ --.c-

~- t i ~ - 1- =r - - -t--

-!-H-- ± I

~ --1 ! . t - -+- 1- i- f, f- ~- ;.

1-'- -- t- -·- -t' ,_ - .. -r- ... J t r+ + I

:-r- 1 .

-~~ :~r- t 1- - - - ~ I -+-- !- '-- -+- -~- ·-- -·-· 1- i- :-- - • T ~ H-· - + - 1- -· . ~- -

+-r- .... ·- -- r .. - :- ~- -c -;.-;

!-i- .. . ~ ' ~ -i L . +- •

~-r--_._.

l . }- ·-+ t ,J L

f: ~ :·r ~- ~ . ~

J 1 ,._

r-- -~ --t:t:I- -J· . t-

~ t • 1 t - I- --+-

1-- .] ~ I -- I-I--. ..

l -!- ( ~ •· t r 1 -1--,- ... t r -1 - - I r I -r

,12 2 3 4 5 6 7 8 9 10 II 12 2 3 4 5 6 7 8 9 ro 11 1 2

Mid. Noon Mid .

MONTHS OF MARCH, SEPTEMBER AND OCTOBER

!t!l!llli=~mml~Httmmlt t±lll 11111111 ~tlttf~IJr::=~~:~t=~:+~~- dJJ · ··

- :j ~ . .;_ l~ ~ i-:-ti=E L - -fj=f-~ -t-- - I - - . . ~ ~ 1- '- - - - . - -t , -1- . 1 =i=. :-f_. - . · + r ·- r- - - · -!- ·1= - - ., - f-+ -1- . ' ; f+ . t -r -- --- - -f-1-'- --t- -'- H- 1--+-

1

-+. ~ ~ -t- I -/-f-1- '- f.--· . ~ t-t -~ -l- .J- I ' . t -~11 -t---4-~t-::::-c:-~ +I:+'-~ ; -i- ~- -~ t~:.::. -{--+--- ~ ::t.__ - : _ ·:-r: + r . t t t ~~- -.::i-- --t , +- · - f ~ + l± +--r_-r· . ___ ....,.____

IZ 1 2 3 .; 5 6 1 8 9 10 ·1 I~ i 2 3 4 5 6 7 8 9 10 •

Mi.d. Noon

PLOT OF SOLAR GAIN CORRECTION FACTORS BY HOUR FOR THE 12 MONTHS OF THE YEAR

FIGURE 3 .

Mid .

"-' 0 .

Page 29: Computerized methods for estimating heating-cooling ...

1-t 0 ~

~ CJ •r-i tU tO~ ~

1.0

~ I-tO 0.5 tU •r-i ...-l~ 0 CJ tnQ)

~ ~ 0 u

1-t 0 ~

~ CJ •r-i tU tU~ ~

0. 0

1.0

1-t § 0. 5 ro ·r-i ,...j~ 0 CJ tnQ)

H $-< 0 u

0 . 0

MONTH OF APRIL

MONTH OF MAY

lm~F-ti~EFHitf!Dlf"Ri llt~:i:tf~=±l:~ i I I l-i

~ ~Tl- ~-F ~ f I ~~~ tf·_: 111 : ~ LI±UJ!I-t ,-r: l~i- j =t.:! cJ-~ r 1- ~ • r · ~- ~ ~...- - . -r -~ --f- t ::-1 ,Ill .1

1-• ~ ~ t ~fJ-~ -- ,--,

7 9 10 11 12 3 4 _s 8 2 6 7 8 9 10 I " 4 5 6 2 1 2

Mid . Noon Mid .

PLOT OF SOLAR GAI N CORRECTION FACTORS BY HOUR FOR THE 12 MONTHS OF THE YEAR

FIGURE 3. (CONT)

N t-' .

Page 30: Computerized methods for estimating heating-cooling ...

1-1 0 .u

.~ ~ n!f-4 (,!)

c 1-1 o n! ·r-t ~+.I 0 C)

CJ)Q) M M 0 u

S-l 0 .u

~C) ·r-t n! n!~

(,!)

S-l § n! ·r-t ~.u 0 C)

CJ)Q) S-l 1-1 0 u

1.0

0. 5

0. 0

1.0

0. 5

0. 0

MONTHS OF JUNE AND AUGUST t- - _ -t- _ -l. -t-: I ~ ,/.; , .__\j&t£i: -t- -+-!-'-• t-f-- -- --+ I · ·- t· -~ ~ t-- - - --- 1- ·- -t- t- .--- ---r- I - - t-- · + - l- --- -~- -- ·i-

1-r-- ~ 1- · ·l7 1-J. · 1- · t ~ ·· - ·1-,--' - · r- --~ ·· ~ -- ·-t ·- ~

t- 1- •-,-,---t- ·-- ' -. ·-· -~- r----·t- 1--.---1-~+-1- . ·- -1 •-t- -:-1--- -4- .. :r- 1-t-. ,_, ·j 1- t- 1-rl- __ .. . ,-r- . i . --. -t-·i- -\~r-- ~ -- --- - --1

• - -T ·J rr- , - · · · -- -· - -1- .. t' - -· · - -- ·- -, _ .. _ -t-1/:. :~ . ~ : :- ·- t- __ t--. i- - ~1-1-t-:-j:}~: f _ +-H- -H

ITI HT-U- 1_~_FJ- tL.~-. . t -·· 1-1- -1- 1-~ ! ~~~ JJ -l _,... r--H I ~ ·~~:-1-f --· i . t -t I -r- ·~ -r- ·~--H f-t-+-t-1-

, ·-:-W t-1-l ~ -~-- . I!J-- · , 1 I I i r~- m· ,.-1 11f i-1+-lc t-•4-•-l -t-=.f+=! l !-- --:t + ·-- -1_-~ ~--- '-· :.~ ... ~-~-H l + :tJ r- H 1 +++t-t~- + _, · . . , =!--, 1:1$1$ 1-fL t::r::r+:J::n ;) 1 z 3 4 ~ 6 1 a 9 10 1 12 1 2 3 4 5 & 7 a 9 10 1 1.

Mid. Noon Mid .

~10NTH OF JULY ! ,.-,--§3,.-,--±1,.-,--l lr-:--_L [r-:--1 lr-:--l lr--!"'"1t:Fr-:-'1_; I ~ ±§:" I I I I 1-+- -1-~ l I I I I I . / 01-rttl l l l l+~ ~- ' . 1-1-1 I I I ~~~-1-t- ~=t-fl-l=t=- : : : :"i:l:t:l+~f--+-+11 =+-+-II ++-l-H+-H+t-HI-H 1-1-1 I I I 1-t-1 I I I I

1·--f-1-I....J. ~-+-J I I I I~ I I t I t·· t~4-1-1-l-~I-+-I-J-J

~IMIM!ltut=:_. ·~ ;- . ~~~~ tit f-t

I , l I •+t-,...._t

Hid .

- ~ -. . I ·-- - ~.. ' ·- -' T . ~ ' . t t -l . -t- . - - f - - . - + f.- ·- -t- ·t $f - ~ i t H- H - -~- -- f- - . . . . • . I .

• 7 ! ' ~ 5 7 a 1i 10 ;: ; ll_ \_. ~ _ i~ 7 ~ 9 10 I •

Noon ~1id.

PLOT OF SOLAR GAIN CORRECTION FACTORS BY HOUR FOR TilE 12 NONTHS OF THE YEAR

FIGURE 3. (CONCLUDED)

N N .

Page 31: Computerized methods for estimating heating-cooling ...

2 3.

Since the average building usually has its heat gain

made up of l/3 solar gain, l/3 ventilation gain and l/3 int­

ernal lighting and people gain, this means that the maximum

monthly error that would be introduced by using one curve

(the average corrected solar intensity values) for the entire

year would be about +2.5% in September. For the entire year,

less than +0.2% would be introduced. As a result, it is con­

cluded that one curve using the average corrected hourly solar

intensities shown in Table l can be used. Figure 3

shows the family of monthly correction factor curves genera ted

from Table l. The only other difference is the inclusion of

solar gain at night during June, July and Au~~st to account

for the heat absorbing quality of buildings, commonly referred

to as nfly-wheel rr effect. The actual use of the solar gain

correction factor, later referred to a SGCOR, is shown in

Equation (18) on Page 34-.

B. VENTILATING SYSTEM MODEL

The requirements of the ventilating system are the most

difficult to express in rna thema tical terms. The type of vent-

ilating system, if one is present, can be one of many. All

ventilating systems have one thing in common however, that be­

ing the requirement that a given amount of air entering the

system at a determinable temperature must be either heated or

cooled to a specified room temperature. For the present, we

need not concern ourselves with the room requirements because

Page 32: Computerized methods for estimating heating-cooling ...

2 4-.

we have calculated these in the in-space calculation. Looking

at only that portion of the air for a given space and consider-

ing that we know the mixed air temperature entering the system,

the heat requirement can be expressed as:

(5)

Where:

Q = Heating or Cooling Requirement, positive for

heating , negative for cooling~ in Btu/hr.

V = Supply Air for Room in C.F.M.

TIS = Inside Design Temperature in °F.

TMA =Mixed Air Temperature entering the Ventilating

0 System in F.

FKW = Central Fan Motor Capacity in K.W. if Fan is

enclosed within Ventilating Duct System.

By maintaining algebraic sign integrity here and in the in-space

requirement calculation, the algebraic sum of these two quan-

tities will give the room requirement. If Q for the ventilat-

ing system were negative, indicating some cooling of the vent-

ilation air would be required, and Q of the space were positive,

indicating a heating load, the summing of the two would have

a cancelling effect, indicating the ventilating system was

supplying excess heat which the room needed.

The only variable to be defined in (5) is the mixed air

temperature. This can be pre-defined or it can be a function

of return air temperature and outside temperature. By the saiTE

Page 33: Computerized methods for estimating heating-cooling ...

25.

token, return air temperature can be constant or a function

of ceiling plenum characteristics if a ceiling plenum return

air system is used. Each of these will be investigated

separately.

l. DEFINED MIXED AIR TEMPERATURE PROFILE

The simplest case to consider is that of a thermosta-

tically controlled mixed air temperature. The mixture

of outside air and return air is constantly adjusted

to maintain the desired mixed air temperature being

called for by the mixed air thermostat. Normally,

this condition will shift over to minimum outside

air settings when mechanical cooling is required and

this will require the mixed air temperature to be

calculated corresponding to various outside tempera-

tures. For this particular discussion however, we

are only concerned with pre-defined mixed air tempera-

tures which are already in usable form to be applied

with(5). The pre-defined case may have a constant

0 mixed air temperature specified such as 55 F. for all

0 outdoor temperatures below 55 F., or they may be

varied or re-set downward as outdoor temperatures in-

crease. An example of the latter would be a straight

line re-set maintaining 70°F. mixed air temperature

at 0°F. outdoors and 55°F. mixed air temperature at

0 55 F. outdoors.

Page 34: Computerized methods for estimating heating-cooling ...

26.

2. UNDEFINED MIXED AIR TEMPERATURES

If the ventilating system operates with a constant

intake of outside air, then the mixed air temperature

becomes a variable that is a function of outside air

temperature and return air temperature. Assuming for

the moment that return air temperature is a known

quantity, then the mixed air temperature can be ex­

pressed as,

TMA =

Where:

vos =

TAMB =

T = RA

v =

v

Outside Air

Outdoor Air

Return Air

0 F.

Intake Volume

Temperature in

Temperature in

Total Air Volume in C.F.M.

in C. F.M.

Of.

0 F.

The next problem becomes one of determining return

(6)

air temperatures. If the return air is simply drawn

out of the space through air grilles in a conventional

manner, then return air temperature will be the same

as in-space temperature, neglecting any duct loss or

gain outside the space. In this event, (6) becomes,

Vosx(TALVJB) - CV-Vos)xTis

v (7)

When the return air is removed through a ceiling re-

Page 35: Computerized methods for estimating heating-cooling ...

27.

turn plenum system, then return air becomes a function

of outdoor temperature, of lighting load and that per-

centage of the lighting load going to the return air,

of in-space temperature, of solar heat gain on exposed

plenum surfaces and air volume being considered.

Figure 4 illustrates these items. Taking these com-

ponents individually, for plenum heat loss we will

have,

(8)

Where:

UHLp = Design Unit Heat Loss of Plenum in

0 Btu/Hr/ F. Temp. Diff.

TpL = Plenum Temperature in oF.

Again, as with the in-space calculations, it will be

assumed that there is no solar or structural heat gain

to the plenum until the heat loss of the plenum is

totally offset by fixed internal heat gain to the

plenum. In this case, this becomes the quantity of

lighting fixture heat injected to the plenum space.

Solar and structural heat gain to the plenum will then

be considered on a straight line basis from this bal-

ance temperature (TBp) to summer outdoor design temp-

erature, with the heat gain ranging from 0 to design

load respectively. The expression for plenum solar

Page 36: Computerized methods for estimating heating-cooling ...

I

I

Q(Gain to Plenum) Q(Loss from Plenum)

I~

\ v Q (Gain from Lighting) Q (Total Retun n Air)

Lt~ c >

I I Q (Gain from Room Air)

COMPONENTS OF PLENUM HEAT BALANCE

FIGURE 4-. 1'\.J 00 .

Page 37: Computerized methods for estimating heating-cooling ...

and structural gain then becomes,

Q (Gain to Plenum) = UHGpx (TAt-m-TBp)

Where:

29.

(9)

UHGp = Design Solar and Structural Unit Heat

Gain to Plenum in Btu/Hr./°F. Temp. Diff.

TBP = Balance Temperature of Plenum in °F.

The remaining Q components to be defined are:

Q(Gain from Ltg.) = KWLTx 34-13. X PRA (10)

Where:

KWLT = Lighting Load in KW.

PRA = Percentage of Light Fixture Heat that is

given to Return Air Plenum.

Q(Gain from Room Air) = 1. 08 XV X Trs (ll)

Q(Total Return Air) = 1. 08 X V X TRA (12)

The basic heat balance equations must be set up now

to solve for TpL· Taking the first case where fixed

gain in the plenum from lighting does not exceed

plenum heat loss, or the resultant TpL will be less

than Trs,

Q (Total Return Air) = Q (Gain from Lighting) +

Q(Gain from Room Air) -

Q(Loss from Plenum) (13)

Substituting (8), (10), (11) and (12) into (13) and

Page 38: Computerized methods for estimating heating-cooling ...

30.

solving for TpL gives,

(l.08xVxTis) + (34l3.xKWLTxPRA) + (UHLpxTAMB) T - (14)

PL- UH~ + (1. 0 8 x V)

For TAMB ( TBP and TpL ( TIS·

Case Two occurs when TAMB is greater than the balance

temperature thereby including solar and structural

heat gain but less than the in-space temperature TIS

therefore requiring heat loss to also be included.

Adding (9) along with the others to (13) and solving

for TpL gives,

(1. 08 X V X Tis) + (3413. X KWLT x PRA) TpL= +

(1.08 x V) + UHLp

(UHGp x (TAMB- TBp)) + UHLp x TAMB

(1. 08 x V) + UHLp

For TBP ( TAMB ( TIS and TPL ) TIS.

(15)

The third case occurs when TAMB is greater than TIS'

resulting in heat loss no longer being a consideration.

If (8) is eliminated from (13) with (9), (10) , (11)

and (12) being included, solving for TpL gives,

1.08 XV

UHGp x (TAMB-TBp)

l. 08 X V

For TIS ( TAMB and TpL ) TIS·

+

(16)

Page 39: Computerized methods for estimating heating-cooling ...

31.

Egua tions (14) , (15) and (16) define TpL for all out­

door temperature ranges. Assuming idealized conditions

with no duct losses or gains outside the conditioned

space,

(17)

These values of TRA are now defined for determining

mixed air temperatures TMA and ultimately the heat

requirement of the ventilating system.

Page 40: Computerized methods for estimating heating-cooling ...

3 2.

V. DESCRIPTION OF THE COMPUTATIONAL METHOD

The weather data and the heating-cooling load have now

been defined and using these two inputs, the system usage must

be determined. Reviewing Figure l which shows the weather

data as stored on disk data file, assume this information is

used in the following array form:

IHR (l, l) • • IHR (l ,N) .. IHR (l, 25)

IHR (M, l) • IHR (M, N) IHR (M, 25)

IHR (24, l) • • IHR (24, N) Il!R (2lt, 25)

Where:

IHR(M,N) = The Number of Hourly Temperature

M = l-+24 Observations occurring in Temperature

N = l-+24 Range M during Hour N.

riHR (M, 25)l =

LM = l-+2~ Average Water Ratio in# Water per

# Dry Air for Temperature Range M.

The combined effects of in-space requirements and venti-

lating system requirements will be considered as a one dim-

ensional array,

SPREQ (l)

SPREQ (2) • • •

SPREQ (24)

Page 41: Computerized methods for estimating heating-cooling ...

33.

Where:

fSPREQ (M)l =

~ = l-+2d Individual Heating or Cooling Require-

ments for each Temperature Range M.

Sign Integrity must be Maintained.

SPREQ (M) = Qin-Space (M) + QVen t (M)

These must be modified to compensate for hourly variations

in solar heat gain also considered as a one dimensional array,

SGCOR (l) SGCOR (N) SGCOR (24)

Where:

JSGCOR (N)J=

~ = 1~24 Solar Gain Correction Factor.

The heating and cooling usage will then be calculated into

a two dimensional array,

HTCOL (l, l) HTCOL (l ,N) HTCOL (l, 24) •

• HTCOL (M, l) . . . HTCOL (M, N) . . . HTCOL (~1, 24)

• HTCOL (24, l) HTCOL (24,N) HTCOL (24, 24)

Where:

HTCOL(M,N) =Heating or Cooling Requirement for

M = 1~24 Temperature Range JVJ during Hour N.

N = l-+24 Sign Integrity as before.

The general equation for calculating the values for this

Page 42: Computerized methods for estimating heating-cooling ...

3 4-.

array are,

HTCOL (M, N) = ~HR (M, N) x S PREQ (MJ

+ {'B'ID. x v08 x [w18-rHR (M,2s~ For:

- ~IGs T x [1-SGCOR (~ (18)

l < M < 24-

1 < N < 24-

Where:

= {0 for M < 16

v0 s for M ~ 16

or

or

TAMB < 70°F.

TAMB ~ 70°F.

HGsT = Design Structural and Solar Heat Gain

v08 = Outside Air Volume

Wrs = Inside Design Humidity Ratio

The 1 HTCOL 1 array is then sorted for positive values for

heating and negative values for cooling. These values are added

to the zone arrays 1 ZOHTG 1,

1 ZOCLG 1,

1 ZOFHT 1 and 1 ZORCL 1, these

arrays being the same size as 1 HTCOL 1, by the following orders:

For HTCOL(M,N) Positive,

ZOHTG (M, N) = HTCOL (M, N)

and if the heating can be done by mechanically reclaimed

heat,

ZOFHT(M,N) = HTCOL(M,N).

For HTCOL(M,N) Negative,

ZOCLG (M, N) = HTCOL (M, N)

and if this excess heat can be mechanically reclaimed

for use elsewhere,

ZORCL (M, N) = HTCOL (M, N)

Page 43: Computerized methods for estimating heating-cooling ...

35.

At the conclusion of all calculations for a zone, these

files are added to the total building files 1 TOHTG 1,

1 TOCLG 1,

1 TOFHT 1 and 1 TORCL 1 which are identical to the zone files in

size and composition.

Upon completion of the total building, the building files

are then summarized by month. The first step in this operation

is to determine what heating can be done by mechanical reclaim

if such a system is considered. This is done to see if a heat-

ing requirement occurs at the same hour and the same outdoor

condition as a cooling load (heat surplus) in some other part

of the building. If the condition is found where TOFHT (M, N) ) 0

and TORCL(M,N) > 0 for the same values of M and N, then for

TOHTG (M, N) < TORCL (M, N) ,

TOHTG (M,N) = TOHTG (M, N) - TOFHT (M, N) (19)

and for TOFHT (M, N) ) TORCL (M, N) ,

TOHTG (M,N) = TOHTG (M,N) - TORCL (M, N) (20)

TOFHT (M,N) = TORCL (M,N) (21)

The monthly totals then become,

Heat Requirement = ~~ TOHTG (M,N) (2 2) 24 24

M=l N=l Heat Reclaimed = ~ ~ TOFHT (M,N) (23)

M=l N=l Cooling Requirement = L: ~ TOCLG (M,N) (24)

24

Page 44: Computerized methods for estimating heating-cooling ...

VI. COMPUTER PROGRAM DOCUMENTATION

The mathematical formulation described in the previous

chapters must now be set up in such a way so as to accurately

model the building heating and cooling system. The following

discussion of the program flow chart and the input data forms

is intended to give the reader a working knowledge of the

program:

A. DISK DATA FILES

The program has 9 data files set up on disk storage for

use during program execution.

l. WEATHER DATA FILE

3 6.

There is one permanently stored weather data file.

The file has 288 records, each record consisting of

25 data words. Information is stored in integer form

with l number per data word. There are 24 records

per month and the data contained for each month is as

shown in Appendix C.

2. ZONE DATA FILES

There are 4 zone data files, one for each of the four

categories of space heating (ZOHTG), air conditioning

(ZOCLG), space heating that can be done with reclaim-

ed heat (ZOFHT) and air conditioning load that is avail-

able for heat reclaim (ZORCL) . Each file consists of

300 records, each record being 50 data words long and

Page 45: Computerized methods for estimating heating-cooling ...

3 7.

containing 25 real numbers. Each month consists of

25 records for each file. The first 24 numbers in

the first record contain the maximum demand for each

hour of the day. The 25th number in the first record

contains the fan kwhrs for the month. The next 24

records correspond to the 24 five degree temperature

range increments from -5 °F. to 115 °F. with the first

24 numbers of each record containing the requirement

or load for that five degree increment over the 24

hours. The 25th number of each record contains a

weighted average of load for that five degree incre­

ment but this number is not used in this specific

application.

3. BUILDING DATA FILES

There are '+ building files, one each for space heat­

ing (TOHTG), air conditioning (TOCLG), space heating

that can be done with reclaimed heat (TOFI-IT) and air

conditioning load that is available for heat reclaim

(TORCL) . These files are identical to the !,one Data

Files and have the same purpose except they store

building totals rather than zone totals.

13. PROGRAM FLOWCHART

The logical major steps of the computer program as shown

in Figure 5 with corresponding numbering are described as

Page 46: Computerized methods for estimating heating-cooling ...

38.

follows:

l. F.C. l

The first step of the program is the zeroing of all

temporary data files, these being ZOHTG, ZOCLG,

ZOFHT, ZORCL, TOHTG, TOCLG, TOFHT, and TORCL.

2. F.C. 2

The next operation is the reading of the job descript­

ion header card that also contains the number of zones

in the building. This is a type l card.

3. F.C. 3

The third step is the reading of the zone data card

which also contains the number of occupancy condit-

ions to be calculated per zone.

card.

4-. F. c. 4-

This is a type 2

Next, a condition card is read containing occupancy

hours, design conditions, etc. This is a type 3

card.

S. F.C. S

Program checks to see if a ventilating system is in-

dicated in condition data card. If yes, program

continues to F.C. 6; if no, program branches to

F.C. 12.

6. F.C. 6

Read a ventilating system data card. This card in-

eludes fan K.W., type of ventilating system and mixed

Page 47: Computerized methods for estimating heating-cooling ...

air temperature profile if specified.

type 4- card.

7. F.C. 7

39.

This is a

Check made to see if there is a ceiling plenum. If

yes, program continues to F.C. 8; if no, program

branches to F.C. 10.

8. F.C. 8

Read data card containing design information on ceil-

ing plenum space. This is a type 5 card.

9. F.C. 9

Calculate mixed air temperature profile (TMA) for

five degree temperature ranges from -5 °F. to 115

°F. using return air temperature as calculated by

equations (14-) , (15) , (16) and (17) . Program then

branches to F.C. 11.

10. F.C. 10

Branch to F.C. 10 occurs when a ventilating system

without ceiling return plenum is specified. Program

calculates mixed air temperatures (TMA) using return

air temteratures equal to indoor room temperature.

11. F. c. 11

Calculate ventilating system requirements for zone by

five degree increments for range of -5 °F. to 115

°F. using equation (5). In this calculation, sign

integrity of positive for heating load and negative

for cooling load is maintained.

Page 48: Computerized methods for estimating heating-cooling ...

12. F.C. 12

Read room data card for condition of occupancy.

is a type 6 card.

13. F. c. 13

This

Calculate in-space requirements using equations (l)

(2) and (3) for five degree temperature increments

from -5°F. to ll5°F. Sign integrity of positive

for heating and negative for cooling is maintained.

l'+. F. c. l'+

Read weather data from disk data file tWTHER t.

15. F.C. 15

Calculate the tHTCOLt array including in-space condition

and ventilating system requirement and solar gain

correction factors. Sign integrity must be maintained

as previously.

16. F. c. 16

Sort room requirements progressively by five degree

temperature ranges. Positive indicates heating load

and continues to F.C. 17; negative indicates cooling

and branches to F.C. 20.

17. F.C. 17

Add room requirements to corresponding temperature

range storage location in disk data file tzOHTGt.

18. F. c. 18

Check to see if heating load to this room can be

supplied by heat reclaim. If yes, continue to F.C. 19;

'+U.

Page 49: Computerized methods for estimating heating-cooling ...

if no, branch to F.C. 23.

19. F.C. 19

Add room requirements to corresponding temperature

range storage location in disk data file 'ZOFHT'.

Branch to F.C. 23.

20. F.C. 20

Add room requirements to corresponding temperature

range storage location in disk data file 'ZOCLG'.

21. F. c. 21

41.

Check to see if cooling load rejected heat is available

for heat reclaim.

branch to F.C. 23.

22. r.c. 22

If yes, continue to F.C. 22; if no,

Add ror~ requirements to corresponding temperature

range storage location in disk data file 'ZORCL'.

23. F. c. 23

Check to see if last room has been calculated. If

yes, continue to F.C. 24; if no, branch back to

F. c. 12.

24. F.C. 24

Check to see if this is the last condition to be cal-

cula ted. If yes, continue to F.C. 25; if no, branch

back to F. C. 4.

25. F.C. 25

Print zone totals from the 4 data files.

Page 50: Computerized methods for estimating heating-cooling ...

4-2.

26. F.C. 26

Add zone files to building files and zero zone files.

27. F.C. 27

Check to see if this completes the last zone. If yes,

continue to F.C. 28; if no, branch back to F.C. 3.

28. F. C. 28

Sum building heating, cooling and fan usage.

29. F. c. 29

Check to see if mechanical system is designated to

mechanically reclaim heat. If yes, continue to

F.C. 30; if no, branch to F.C. 31.

30. F. C. 30

Make a comparison of 'TOFHT' and 'TORCL' by hour by

temperature range to find those heating loads that

can be supplied by reclaimed heat that match with

available heat for reclaim. Pull those matching

values out and sum them by month and adjust the heat­

ing requirements accordingly.

31. F. c. 31

Calculate kwhr inputs by month required for heating,

cooling and mechanical heat reclaim, using (22) , (23)

and (24-) .

32. F.C. 32

Print building requirement totals.

33. F. c. 33

Program halts.

Page 51: Computerized methods for estimating heating-cooling ...

START

ZERO ALL

FILES

READ TYPE l DATA CARD INC # ZONES

READ TYPE 2 DATA CARD INC

READ TYPE 3 DATA CARD

COND CARD

READ TYPE '+ DATA CARD VENT CARD

SYSTEM FLOW CHART

FIGURE 5.

'+3.

F. c. l

F. c. 2

F. c. 3

F.C. '+

F. c. 5

F. c. 6

Page 52: Computerized methods for estimating heating-cooling ...

READ TYPE 5 DATA CARD

PLEN CAR

CALCULATE

F. C. 7

F. c. 8

F. c. 9

CALCULATE F.C. ll VENT SYSTEM REQUIREMENT

FOR ZONE

READ TYPE F.C. 12 6 DATA CARD

ROOM CARD

CALCULATE F.C. 13 IN-SPACE

REQUIREMENT FOR ROOM

SYSTEM FLOW CHART

FIGURE 5. (CONT)

LJ-LJ-.

F.C. 10

CALCULATE

Page 53: Computerized methods for estimating heating-cooling ...

READ WEATHER

DATA FROM DISK

CALCULATE ROOM

REQUIREMENT

ADD TO

'ZOHTG'

ADD TO

'ZOFHT'

F.C. 14-

F.C. 15

F. C. 16

COOL

F.C. 17

F.C. 18

NO

F.C. 19

NO

SYSTEM FLOW CHART FIGURE 5. (CONT)

ADD TO

'ZOCLG'

45.

F. c. 20

F. C. 21

F.C. 22

Page 54: Computerized methods for estimating heating-cooling ...

ADD ZONE FILES TO BLDG FILE

SUM HEAT AND COOL FOR BLDG

F. c. 23

F. C. 24-

F. c. 25

F.C. 26

F. c. 27

F.C. 28

SYSTEM FLOW CHART

FIGURE 5. (CONT)

4-6.

Page 55: Computerized methods for estimating heating-cooling ...

CALCULATE RECLAIMED

HEAT

NO

CALCULATE KWHR

REQUIREMENT

HALT

F.C. 29

F. c. 30

F. c. 31

F.C. 32

SYSTEM FLOW CHART

FIGURE 5. (CONCLUDED)

47.

Page 56: Computerized methods for estimating heating-cooling ...

4-8.

C. INPUT FORMS

Figure 6 shows the three pages of the input forms and the

following are instructions for completing them. All numeric

data must be right-hand justified.

l. TYPE l DATA CARD

2.

Column Input Description

l - 2 Enter a l for program control.

3 - 62 This contains literal data to be printed

the heading of each page in the output.

63 - 64- The number of zones in the calculation.

TYPE 2 DATA CARD

Column

l - 2

3 - 62

63 - 64-

Input Description

Enter a 2 for program control.

This contains literal data to be printed

for zone headings in output.

The number of operating conditions to be

considered for the zone.

at

3. TYPE 3 DATA CARD

Column

l - 2

3 - 26

27 - 28

29 - 30

Input Description

Enter a 3 for program control.

This contains literal data describing the

operating condition for the output.

Is the space to be mechanically cooled for

this operating condition? ( l = Yes )

Is the space ventilated with a central

ventilating system? ( l = Yes )

Page 57: Computerized methods for estimating heating-cooling ...

TYPE I DATA CARD

r .I

THIS CARD CONTAINS PAGE HEADER INFORMATION FOR OUTPUT

AN> NUMBER OF ZONES IN BUILDING.

PAGE HEAOER INF~MATIOH- JOB DESCRIPTION

10 ,, 20 25 lO 35 •o

TYPE 2 OAT A CARD

THIS CARD CONTAINS ZONE DESCRIPTIVE INFORMATION AND NO.

OF DESIGN CONDITIONS PER EACH ZONE. ONE TYPE 2

CARD IS REQUIRED FOR EACH ZONE.

ZONE DESCRIPTION

J 10 " 20 25 )0 lS •o

.2 2 .2 .2 2

.,

.,

FIGURE 6. INPUT DATA FORMS

50 '' 60

50 " •o

., .., ~ N

~

~

! i u

~ 0 z

+ l.D

Page 58: Computerized methods for estimating heating-cooling ...

TYPE 3 OATA CARD

THIS CARD CONTAINS DESIGN INFORMATION FOR A SPECFJC OPERATING CONOITION. ONE TYPE 3 CARD IS REQURED FOR EACH CCI'4DITIOM.

Ill I PEOPLE HT. DESIGN d :I FIRST OCCUPANCY .,.: 8 GAIN I PERS TEMPERATURES ,.: I u z ~ INDOOR "' a:: W'KDAY SAT. SUN. .c > <J o. D. INS. 0. D. HUMDITY _j

OOfOTDI tESCRIPTION !!? !!? ... 0 SENS. LAT. WIN. ROOM SUM. COND. i BEG END BEG END ~G END a:: z

5 10 15 20 25 ) 35 • 45 so ll 6 !l

I .3 ' I

TYfE 4 DATA CARD

THIS CARD CON~AINS DESIGN DATA FOR A CENTRAL VENTILATING SYSTEM IF ONE IS

INCLUDED. ONE TYPE 4 CARD IS REQUIRED FOR EACH CONDITION IF IT HAS A CENTRAL VENTILATING SYSTEM.

FAN FIXED 0. S. VAR. 0. S. i DATA AIR SYSTEM AIR SYSTEM lr

.,.: a: FAN § x 0. S. AIR MIN MIN, 0. S. w MIXED AIR TEMPERATURE PROFILE i&: rrt.f' jAIR CFM

.... KW CFM -3 2 1 12 17 22 27 32 37 42 47 !12 !11 62 67 72 17 112 87 Ill Ill !!? - -

5 1 1 20 J,, I J " • " 5 l5 6 65

I 4 I l ' I

TYPE 5 DATA CARD

. THIS CARD CONTAINS DESIGN DATA FOR THE CEILING AIR PLENUM IF ONE IS INCLUDED.

ONE TYPE 5 CARD IS REQUIRED FOR EACH CONDITION THAT USES A CEILING PLENUM.

I'LENUM PLENUM SOLAR HEAT 8 STRUCTURAL

LOSS HEAT GAIN

IBTU/HRI IBTUIHR) 10 15

I .5 FIGURE 6. INPUT DATA FORMS (CONT)

SECOND OCCUPANCY

W'KoAY SAT . SUN.

BEG NO BEG. (END BEG ENO

' 7l eo

1-- ._

z ~ A.

.J

92 97 102 07 112 ~ !!?

' 7l 80

(Jl

0

Page 59: Computerized methods for estimating heating-cooling ...

TYPE 6 DATA CARD

THIS CARD CONTAINS CESIGN DATA FOR EACH ROOM. ONE TYPE 6 CARD FOR

,.j NO. I

EACH ROOM. ... %

IAI

LIGlTIHG DATA ROOhl SOLAR TEhlP. CONTROLLED r

CONSTANT IAI

ROON ROOhl , ... TO SUPPLY NO. ll STRUCTURAL HEATING SOURCES INTERNAL Ill :l

H:ZAf LOSS LOA9 RET. AIR OF HEAT GAIN CAPACITY I™P.

HEAT GAIN z ;8 TU I HR) !I< W.) I AIR ::Fu PEO. iBT U/ HR) (BTU/HRl OFF (BTU/ HR) c

0 10 '3 l 2 lO j •o 4l 50

-·--- -~--L-L....l....---1..-J....... _L........!.. _____ .__.....__

-~--_L__..__l ____ ---- ---··- _..~.. __ -- --·- -1-~~~ r-fJ...J · -~ · .. L..

--l.......-.I....~_.L_l....,_.L

. --'-- ·'-·-'-··'---f-_,__J.LL~~- -~ L -! -~ ~-~-' L_- :-::· --- ~~ ", :~ :· ~l' _L.L .•. -

, __ l__ I __ _L _ _L L. ;._ __ L-<L- --'--

-L · ~-l L.. !: ' ---·-···- ···-- ~.Ll. i '

l '--'--'--L·-l----.LL'-J~--J-L .. _ .... i .J. . ...l.-

- --- - •- L_ ..... ~- _ ____1_. L _..:._ __ __!__...: __ J.._-.--...1._

~ _ • ..1._-L.-'-- L...i. -'-~"-! L-'...~ -L -'- _..!...___1. ---- . .1.__1.-L •. L.L . ..L.....

--"-+--'--"--"......L.L...J._

j_ l .. J _ _.J..__L

..L.L.L -~ .~ 1 .

IS

"" %

J ..J (.) ... a: z c 0

l

~-

~-'-' ':._, -~L-. -'-· .~ .... L.Lj ... -.c-j

_._ __ ~ .!.._______j_ ..L _.__ ~_I_ ___L__ _:__L--=..__

..,I,..__L__L..._L.L....... ..!_

--'---1 - .. L.L ··'-·'-'·-~-J........L.....t-f·..L....~-Ll~J-.-·~---_L~---LJ-~ _ __;___L-!..~_l __ L .__, __ LL_ L-~ • .J.._L. __.L_

.J

FIGURE 6. INPUT DATA FORMS (CONCLUDED)

REQUIRED

U1 I-'

Page 60: Computerized methods for estimating heating-cooling ...

31 - 32

33 - 34-

35 - 37

38 - 4-0

4-l - 4-3

4-4- - 4-6

4-7 - 4-9

50 - 54-

55 - 56

57 - 80

52.

Should demand for this operating Condit-

ion be included in the building total?

( 1 = Yes )

Number of rooms in the zone for this

operating condition. This sets an indic-

ator for the number of Type 6 cards to be

read later. Maximum number is 10.

Sensible heat gain per person in Btu/Hr.

Latent heat gain per person in Btu/Hr.

Outdoor winter design temperature in °F. D.B.

Indoor design temperature in °F. D.B.

0 Outdoor summer design temperature in F.

D. B.

Indoor humidity ratio in # water per # dry

air. Decimal point exists between columns

50 and 51.

Design temperature difference on which

0 heat losses are based in F.

Beginning and ending hours of occupancies

for weekday, saturday and sunday. Hours

for given day must be in ascending sequ-

ence. To specify from 6 PM to 8 AM use

first occupancy - l to 7 and second occup-

ancy - 19 to 24-. Program will include the

beginning and the ending hour specified.

Page 61: Computerized methods for estimating heating-cooling ...

53.

4. TYPE 4 DATA CARD

Colllllln

1 - 2

3 6

7 - 8

9 - 10

ll - 15

16 - 17

18 - 22

29 - 30

31 - 78

79 - 80

Input Description

Enter a 4 for program control.

Supply air fan motor capacity in K.W. Motor

must be located in the supply duct.

Does the fan operate continuous? ( 1 = Yes )

Is the system a fixed outside air system?

( 1 = Yes )

If the system is fixed outside air, enter

outside air quantity in C.F.M.

If the system is not s fixed outside air

system, then it must be a variable outside

air system. Enter minimum mixed air temp­

erature allowed by system if such exists.

If minimlllll mixed air temperature is not

specified, then enter minimum outside air

quantity allowed in C.F.M.

Is system terminal reheat? ( l = Yes )

Mixed air temperature profile if specified.

An entry of 5 in any temperature range

will automatically cause all following

ranges to be ignored with the outside air

quantity being re-set to minimlllll.

Does the system have a ceiling return air

plenum? ( 1 = Yes )

Page 62: Computerized methods for estimating heating-cooling ...

5.

5.

54.

TYPE 5 DATA CARD

Column Input Description

l - 2 Enter a 5 for program control.

3 - 9 Heat loss of plenum space in Btu/Hr.

10 - 16 Solar and structural heat gain of plenum

space in Btu/Hr.

TYPE 6 DATA CARD

Column

l - 2

3 - 5

5 - 13

14 - 17

18 - 20

21 - 25

26 - 28

29 - 35

35 - 42

43 - 44-

Input Description

Enter a 6 for program control.

Room number for convenience only. No

reference for this is required in the

program.

Room or in-space heat loss in Btu/Hr.

Room lighting load in K.W.

Percent of lighting heat to the ceiling

plenum in percent.

Room supply air in C.F.M.

Number of people in room.

Room structural and solar heat gain in Btu/

Hr.

Capacity of outdoor temperature controlled

heating equipment in Btu/Hr such as per­

imeter radiation, if present.

Temperature above which supplemental heat­

ing is off.

Page 63: Computerized methods for estimating heating-cooling ...

'-+5 - 51

52 - 53

5'-+ - 55

Constant internal heat gains other than

lighting in Btu/Hr.

Can space be heated with reclaimed heat?

( 1 = Yes )

Can excess heat be reclaimed? ( l = Yes )

D. ERROR DISCUSSION

At this point, consideration of errors known to be in­

herent with this computer program and a discussion of their

effect on estimates calculated by the program are in order.

A good understanding of this will be of help in making in­

telligent use of this program.

l. INCLUSION OF SOLAR AND STRUCTURAL HEAT GAINS

In the discussion of in-space and ceiling plenum

solar and structural heat gains previously, these

quantities were not allowed to enter the calcula­

tion until after the outdoor temperature had

exceeded the balance temperature (TB) of the space.

This means that until the heat loss of the space

was offset by internal lighting and people load,

there is no inclusion of solar and structural heat

gain. Obviously, since the space has solar heat

gain anytime the sun shines, this condition is not

correct.

The reason this was done was to make the resulting

55.

Page 64: Computerized methods for estimating heating-cooling ...

56.

estimate a conservative one. The end result of

this condition is that the heating estimate will be

greater than actually required and the cooling

estimate will be slightly low, dependent on type of

system considered and building characteristics. Since

the addition of heat to the building requires about

four times as much energy input as removal of the

same quantity of heat by the air conditioning system,

it can be seen the net effect of this condition is

to make the over-all estimate a conservative one.

Since the field of large all-electric heating and

cooling systems is still relatively new, it is in

the best interest of the electric utilities to retain

this conservativeness. As more experience is gained

with large systems, it may become desirable to modify

this approach; but for now, it should remain as is.

2. AVERAGING SOLAR AND STRUCTURAL HEAT GAINS

The computer program is designed to take one value for

solar and structural heat gain per area being con-

side red. Since the solar gain inclusion is based on

an average of solar radiation from four directions

and on outdoor temperature, the value for solar and

structural heat gain to be used should be carefully

chosen. If a zone or room has predominantly one or

Page 65: Computerized methods for estimating heating-cooling ...

57.

two exposed sides with the major glass areas, then

using maximum heat gain as the input for that zone

will result in a high estimate for air conditioning

usage. For this reason, maximum accuracy can be

obtained by using the average solar and structural

heat gain for the hours being considered.

The output from the Heating-Cooling Load Calculation

Program by Automated Procedures for Engineering Con­

sultants is such that it gives the heat gains of a

structure on an hourly basis for 12 hours on the

design day for any month. If the building or zone

under consideration is fairly well symmetrically

balanced with respect to the different directions,

then the design solar heat gain can be used.

Page 66: Computerized methods for estimating heating-cooling ...

58.

VII. TEST PROBLEM AND COMPARISON WITH ACTUAL DATA

The only large building in St. Louis that has been in

operation long enough for sufficient operating data to be

collected for meaningful comparison is the McGraw Hill Office

Building. The building is approximately 110,000 square feet

and is conditioned with a double-duct high velocity air system

using electric hot water heaters and electric drive centrifugal

air conditioners. A total of 600 K.W. of electric hot water

heaters is used along with two 200 ton Carrier centrifugal

chillers. One of the chillers had a dual circuited condenser

which can reject heat either to the cooling towers or to the

hot-deck of the heating system, the purpose of this being to

mechanically reclaim heat from the interior of the building.

The air distribution system uses a ceiling plenum return

and air handling light fixtures which will remove about 65%

of the lighting heat from the conditioned space. The floor

plan is arranged such that individual offices are located

around the perimeter of the building with the inner area for

large offices. The following is a general breakdown of tech­

nical design data for the building:

Solar and Structural Heat

Gain. (Not including plenum)

595,386 Btu/Hr.

Page 67: Computerized methods for estimating heating-cooling ...

59.

Plenum Solar and Structural Gain 281,615 Btu/Hr.

Structural Heat Loss 4-79,611 Btu/Hr.

Plenum Heat Loss 4-74-,880 Btu/Hr.

Lighting Load - Day 329. K.W.

Lighting Load - Night 66. K.W.

Number of People - Day 300

Number of People - Night 0

0 Outside Design - Winter -5 F.

Inside Design 75 0

F.

Outside Design - Summer 95 0

F.

Inside Relative Humidity 4-5 %

Operating Hours 7 AM Thru 12 MID.

6 Days per Week

Air Handler Capacities:

Unit Total CFM O.S. Air CFM K.W. Input

AH#l 100,000 15,000 123.0

AH#2 12,300 12,300 17.2

AH#3 4-,000 3,200 2. 7

The building is heated and air conditioned continuously

24- hours per day and there is no change in interior conditions

maintained during the unoccupied hours. A total of 66 K.W. of

lighting is left on during the unoccupied hours for security

lighting and all the remaining lights are turned on when the

0 outdoor temperature falls below 25 F. The exterior zone of

the building is taken to be that area from the outside walls

Page 68: Computerized methods for estimating heating-cooling ...

60.

to a point 15 feet towards the interior. The remainder of the

building is the interior zone and tabulations for these zones

are as follows:

Exterior Zone Interior Zone

Solar Heat Gain 595,386 Btu/Hr. 0

Heat Loss 4-79,611 Btu/Hr. 0

Lighting - Occupied 105 K.W. 224- K.W.

Lighting - Unoccupied 21 K.W. 4-5 K.W.

People - Occupied 95 205

Supply Air CFM 37,010 79,290

Outside Air CFM 30,500 (Both Zones)

% Lighting to Return Air 65 % 65 %

Pages 63 thru 70 show the input data forms completed

for this test run and pages 71 thru 75 are the computer

print out of the estimated usage for the heating and cooling

system using weather data for the year 1964-.

Since the computer data is for the year 1964- and the

experience available is for the years 1967 and 1968, the

computer estimate must be adjusted to compensate for variations

in weather conditions. Also, some usages such as pumps and

exhaust fan operation are not included in the computer study

and must be added. The following shows the difference between

years on the weather conditions:

Page 69: Computerized methods for estimating heating-cooling ...

6l.

Year Heating Cooling

1964 (Data) 4726 Degree Days 1688 Degree Days

1967 4819 Degree Days 1448 Degree Days

1968 5119 Degree Days 1607 Degree Days

The adjustments for heating and cooling usage can then be

made on the computer estimate:

1967 Heating including Heat Reclaim KWHR:

4819 690,726 KWHR x 4726 = 705,000 KWHR

1967 Cooling:

1448 679,297 KWHR x 1688 = 582,000 KWHR

1968 Heating including Heat Reclaim KWHR:

5119 690,726 KWHR x 4726 = 750,000 KWHR

1968 Cooling:

1607 679,297 KWHR x 1688 = 647,000 KWHR

The other adjustment that must be made accounts for the

hot water circulating pumps that operate 9 months per year and

the building exhaust fans that operate continuously.

Hot Water Pumps- 26.2 K.W.

KWHR/Yr. = 26.2 x 720 Hours/Month x 9 Months

KWHR/Yr. = 170,000

Exhaust Fans - lO K.W.

KWHR/Yr. = lO x 720 Hours/Month x 9 Months

KWHR/Yr. = 86,400

Page 70: Computerized methods for estimating heating-cooling ...

62.

The adjusted computer estimate for KWHR usage then be-

comes:

1967 1968

Space Heating Usage 705,000 750,000

Air Conditioning Usage 582,000 64-7,000

Fan usage 1,34-8,700 1,34-8,700

0 ther Usages 256,4-00 256,4-00

Adjusted Computer Estimate 2,892,100 3,002,100

Comparing this with the actual heating and cooling system

usage for the years 1967 and 1968;

Actual Adjusted % Diff. Sub-Metered Computer from

Usage Estimate Actual

Year 1967 2,725,280 2,892,100 +6.2

Year 1968 3,317,280 3,002,100 -9.5

Two Year Total 6, 0 4-2, 5 60 5,894-,200 -2.4-

As can be seen, the individual yearly results are within

10% of actual usage. The two year average is within S% of the

actual usage. The probable cause of the improvement for the

two year comparison is that the exact effect of solar radiation

will vary from year to year independent of heating or cooling

degree days, but the greater the span of consideration, the

more likely that the norm or average will be approached.

Page 71: Computerized methods for estimating heating-cooling ...

TYPE I DATA CARD

THIS CARD CONTAINS PAGE HEADER INFORMATION FOR OUTPUT

AN> NUMBER OF ZONES IN BUILDING.

PAGE i'£AOER INFORMATION- J08 ~SCRIPTION

50 $$ 60 I Ul?':l/r:;o LtiMC: SG'RA\(.HI,LL ;OFFici BUrLb\NG :-50

'CB.DP\ St~.!j-'-"" ~'-"P - ,, ~~r v-' - I

TYPE Z OAl A CARD

THIS CARD CONTAINS ZONE DESCRIPTIVE INFORMATION AND NO.

OF Ot:SIGN CONDITIONS PER EACH ZONE. ONE TYPE 2

CARD IS REQUIRED FOR EACH ZONE.

ZONE DESCRIPTION I s 10 u ~ ::ts -~ 35 40 .cs so ss ao ·

] BUILJHNG OFFICES - lpl INTERIOI~ - 102 INTERIOR , 2 .2 I 1 I

,--2 ' ' .2

Cl) Ill

~ N

~

~

! i u

~ ci z

CJl UJ .

Page 72: Computerized methods for estimating heating-cooling ...

TYPE 3 DATA CARD

THIS CARD CONTAINS DESIGN INFORMATION FOR A SPECFIC OPERATING CONDITION. ONE TYPE 3 CARD IS REQUIRED FOR EACH CONDITIOft.

Ill I PEOPLE HT. DESIGN d :I FIRST OCCUPANCY .,.: 8 GAIN I PERS TEMPERATURES ,.: i u z l!! INDOOR .... a: W'KDAY SAT. SUN. c > u 0. D. INS. 0. 0. HUM()ITY _;

COO~ ~SCRIPTION !? !? "' d SENS. LAT. WIN. ROOM SUM. COND. x BEG END BEG ENO jBEG END a: z s 10 , 20 25 3 35 • •s so S5 • 65

I .3 OCCUPIED CONDITION l 1 11 2 1250 2m -5 7 ,c gc; 0093 lgn 7 124 7 124

TYPE 4 DATA CARD

THIS CARD CON"T:AINS DESIGN DATA FOR A CENTRAL VENTILATING SYSTEM IF ONE IS

INCLUDED. ONE TYPE 4 CARD IS REQUIRED FOR EACH CONDITION IF IT HAS A CENTRAL VENTILATING SYSTEM.

i FAN FIXED 0. S. VAR. 0. S. It DATA AIR SYSTEM AIR SYSTEM

.,.: a::

FAN ~ .,( 0. S. AIR MIN MIN. 0. S. ... MIXED AIR TEMPERATURE PRa'ILE il:

CFM TMP jAIR CFM ,....

KW -3 2 1 12 17 22 27 32 37 42 47 !52 !57 62 67 72 11 82 87 lit !? !? -5 1 1 20 I zs I J 35 • 'l s lS • 65

I 4 143. 1 1130500 I I .5

TYPE !5 QAT A CARD

. THIS CARD CONTAINS DESIGN DATA FOR THE CEILING AIR PLENUM IF ONE IS INCLUDED.

ONE TYPE 5 CARD IS REQUIRED FOR EACH CONDITION THAT USES A CEILING PLENUM.

A..EMJM PLENUM SCl.AR HEAT 8 STRUCTURAL

LOSS HEAT GAIN

I8TU/ HR) !BTUIHR) 15

SECOND OCCUPANCY

W'l<oiY SAT. SUN.

!BEG ENO BEG. END BEG ENO 1 7S 80

z ~ L

..J

92 97 102 01 112 B !?

1 7S 80

T

en +=" .

Page 73: Computerized methods for estimating heating-cooling ...

TYPE 6 DATA CARD

THIS

FOR CARD CONTAINS tESIGN DATA EACH ROOM.

ocj LIGiTIHG DATA

ROOI\ol ROON 'II. TO SUPPLY

HEAT LOSS LCAD RET. AIR

''~t !BTIJ I HA! \K.W.) AiR CFM

10 i5 l '

it]..O_ L __ -·~c-'- . .ZZ'± -- 6~7_,~ ~ ~-0---'- lO~-· Y-D~ll ~115 ~6- 3.11tHL

__ =._:J~- ~~~:-:. ~-,_l_ .... t-- _L_.__ --- ~ I _L __., l

_.J_ __ __\ __ L__j__......-L _ _,____ ;_J_~ --- _L~_L_

~.---'-----L-LJ.. -"- -'-L . .L ----- -------------

__ l,_ _ _J.___l_, _ _;_ r-,_j_.!__ ~--'-- L.___._____l._

• ...I. • ..<. _ _! ___ ~_ --'-'- --'-'- .J __ '----..1._ -~---

• ......L.-~- -~~--'---'--

--

FOR EACH ROOM. ONE TYPE 6 CARD IS ~ ....

:a:

"' r.1 ROON SOLAR TEMP. COHTROLLEC CONSTANT

a: <i! ...J

"' M NO. a S TRUCTUI'IAL HEATING SOURCES INTERNAL Ill ~ a:

OF HEAT GAIN CAPACITY TMP. HEAT GAIN ~ z

PEO. (9TU/HR) (BTU/ HR) bfF (BTU/ HR) c u u

.10 3 AO 45 .so 5

~7 -- l -'-~' -"- _--.J..__L___i__._ ---'- _ _i_,__ -~-~ l 1_ :L 13., _5 9_5_3llli_ --L-' -' .. l_._ t--'- _j_J _ ____._____...._ l. •• l_ _l L

- , _L --L..L_!_ r-~ _j_J__~.__._j_ ·--"- ~-

. l .-L _ _!. _l_..L ~ ..L_,__ '--'--'---L _ _l_ __

L_j __ L _.___.L_...L_ _ _ _J _ __!_, _,_, _, _L

-'-'- L __ l _ ...L.....!__L..........!.... _...j......_.j.._....t.._l._L_.L.... --'--_ _L ~~. ___ l_

_!...,_..L......L-....L-.__1 .. -'--. ,_.___

~---. ;__l__J._l __ _!__J. __ ---'---'- "--~-----'--

~-t-l...L.L . ..L..L ___.!._.....L_C.. -'- -~-~L_L f-'- ~

I -- --

REQUIRED

m (Jl .

Page 74: Computerized methods for estimating heating-cooling ...

TYPE 3 DATA CARD

THIS CARD CONTAINS DESIGN INFORMATION FOR A SPECF!C OPERATING CONDITION. a£ TYPE 3 CARD IS REQURED FOR EACH C<JI4DITIOC.

Ill I PEOPLE HT. DESIGN d ll FIRST OCCUPANCY .,.: 8 GAIN I P£RS TEMPERATURES t-= i u z :!1 INDOOR .., II: W'KOAY SAT. c > u O.D. INS. 0. D. HUMlliTY _j

COtOllON [ESCRIPTIOH ~ !! "' i SENS. LAT. WIN. ROOM SUM. COND. i BEG END BEG II:

s 10 15 20 2l 3 ll • •l 50 55 6

l ,3 UNOCCUPIED CONDITION .~ l l 2 2 50 20( -5 75 95 0093 80 l 6 l

TYPE 4 DATA CARD

THIS CARD CON-rAINS DESIGN DATA FOR A CENTRAL VENTILATING SYSTEM IF ONE IS

INCLUDED. ONE TYPE 4 CARD IS REQUIRED FOR EACH CONDITION IF IT HAS A CENTRAL VENTILATING SYSTEM.

FAN FIXED 0. S. VAR. 0. S. :I:

DATA .,.: AIR SYSTEM AIR SYSTEM a::

a:: fAN ft ,( 0. S. AIR ~IN MIN. 0. S. ... MIXED AIR TEMPERATURE PR<FILE ;o: ~ ~R CFM

..... KW CFW -3 2 7 12 17 22 27 32 37 42 47 52 57 62 67 72 !! !!! !!!

s I I 20 I ,s I J 3l • •l l 55 6

I 4 lll+.3' l l3nson I I c;

TYPE 5 OAT A CARD

THIS CARD CONTAINS DE SIGN OAT A FOR THE CEIUNG AIR PLENUM IF ONE IS INCLUDED.

ONE TYPE 5 CARD IS REQUIRED FOR EACH CONDITION THAT USES A CEILING PLENUM.

I'LE~M PL£NUM SOLAR HEAT 8 STRUCTURAL

LOSS HEAT GAIN

(8TU/HR) !BTLVHR)

END

6

77

SUN.

jBEG END 6l

1 21.j

82 87

6l

SECOND OCCUPANCY

W'KDIIY SAT. SUN.

!BEG .,NO BEG. END BEG END

' 1l 80

~ ~ L

.J

92 97 102 07 112 ~ !!!

' 15 80

l

01 01 .

Page 75: Computerized methods for estimating heating-cooling ...

TYfE 6 DATA CARP

THIS CARD CONTAINS CESIGN DATA FOR EACH ROOM. ONE TYPE FOR EACH ROOM.

6 CARD iS

~ i

ROOIII

UG1TING DATA

ROOM Jot,. TOI SUPPLY

LCt.C RET. \1'.1¥ l I A'R

AIR

CF!ol

ROOM SO~ARI TEMP. CONTROLLEOI CONSTANT N0.,8 S TRUCTUF.AL HEATiNG SOURCES INTERNAL OF HEAT GAIN CAPACITY ITMP. HEAT GAIN

P~::c 'aT :JiHR) , caruJHRl OFF carut~-<Rl

-~ 2 ' _J,,_~. <0 " so

45~ 7't290 l , ~~~ _ ~~ ~f2Jj)~_;rL 2__!2 ,

-· ._.J__

Ill r ! .J ... u

11'1 ... :::l a: z z ~ "' v v

lll­lll .. . 2l 37Q~~ • ·i 59~38~ ~~866;2~ 2:5 >

L a _.._

_.J. __ ----- ~ - -- - '-- ~-...._ t __ _.. - .L J.~ _l ----- -~ .... _ J J__; _.I._ _ _. ____ J...._J.,_ --

--~-~~~ -~ ·t· .. ' . ~~~: JfL , :_ ~ ~ ~ ':~ :: ·.~· ·_. L• :

•:L.....c..-'--'--~~-~-~---~- _ __1 ___ -~ ...._ _____ --" __ .!._~-- ..__..L_ .--L.'_j _ _L -~- _l_.__.L_.....i __ .. ___ l_.__.__

I ~---~~----- -- ---- . ___ ,:._, -------"--......... _..~.__ .........

REQUIRED

CJ1 '-1 .

Page 76: Computerized methods for estimating heating-cooling ...

TYPE I DATA CARD

THIS CARD CONTAINS PAGE HEADER INFORMATION FOR OUTPUT

AN> NUMBER OF ZONES IN BUILDING.

PAGE HEADER INFORMATION- JOS OCSCRIPTION

Xi J5 40 •5 50 55 60 I 15 !0 :IC 21

I. , ,_,___.....,......_......__..._...._.__ __ , -__ ~--;--··-.--'.._] TYPE 2 DATA CARD

THIS CARD CONTAINS ZONE DESCRIPTIVE INFORMATION AND NO.

OF DESIGN CONDITIONS PER EACH ZONE. ONE TYPE 2

CARD IS REQUIRED FOR EACH ZONE.

ZONE DESCRIPTION

5 !0 15 20 25 30 )5 40 ., 50 55 60

,2 MF.CHANTrAT. F.OHTPMF.N'l'.RnnM- ROOM 201 ' 2 ' .2 ' ' L2 ' 2

Cll Ill

~ N

~

~

! .... ~ u

~ 0 z

01 co .

Page 77: Computerized methods for estimating heating-cooling ...

TYPE ~ DATA CARD

THIS CARD CONTAINS DESIGN INFORMATION FOR A SPECFIC OPERATING CONDITION. ONE TYPE 3 CARD IS REQURED FOR EACH ~DITIOft.

I Ill PEOPLE HT. DESIGN d :::1 FIRST OCCUPANCY ...=

8 GAIN I PERS TEMPERATURES ...,

u z ~ INDOOR "' a:: W'KOAY SAT. SUN. c > <.1 0. 0. INS. 0. D. HUMiliTY _j

COfO~ [£SCRIPTION !!? !!? ... 0 SENS. LAT. WIN. ROOM SUM. COND. i BEG END BEG END ieEG END a:: z

0

s 10 15 l'O 25 l ll • <l 50 55 6 '!

l .3 OCCUPIED CONDITION l 1 1 -5 75 IR~ ] I 2l 1 124 1 124

TYPE 4 DATA CARD

THIS CARD CONT:AINS DESIGN DATA FOR A CENTRAL VENTILATING SYSTEM IF ONE IS

INCLUDED. ONE TYPE 4 CARD IS REQUIRED FOR EACH CONDITION IF IT HAS A CENTRAL VENTILATING SYSTEM.

i FAN fiXE 0 C. S. VAR. 0. S. .r DATA AIR SYSTEM AIR SYSTEM ...=

~ ,.( 0. S. AIR ,.IN MIN. 0 S. a:

MIXED A!R TEMPERATURE PRCW:ILE fAN .... i:: ~MP ....

ICW CFM AIR CFM -3 2 7 12 17 22 27 32 37 42 47 :S2 ~7 62 67 72 77 82 87 Ill Ill !!? - -s 1 1 l'O J,s I J ll ' <l l 55 6 6l

u ,l31_!.1.._ l urlilil I I c;

TYPE Q DATA CARD

. THIS CARD CONTAINS DESIGN DATA FOR THE CEILING AIR PLENUM IF ONE IS INCLUDED.

ONE TYPE 5 CARD IS REQUIRED FOR EACH CONDITION THAT USES A CEILING PLENUM.

PLEMJM PLENUM S<l..AR HEAT 8 STRUCTURAL

LOSS HEAT GAIN

IBTU/HR) (STLVHR) 11'1 1 ~

fs

SECOND OCCUPANCY

W'I<DAY SAT. SUN.

BEG ~I'() BEG. If: NO BEG El'() 7 'l BO _.__

z ~ A. I

dl ~~ 92 97 102 07 112

~~01 ' 7S -

0"1 lD .

Page 78: Computerized methods for estimating heating-cooling ...

TYP£ 6 DATA CARp

THIS FOR

CARD EACH

CONTAINS ROOM.

CESIGN DATA FOR EACH ROOM. ONE TYPE 6 CARD

ROOM HEAT LOSS

,STU I HR) 10

UG1TING OATA .... r"" SUPPLY NO.

LC~D RET. AIR OF

\K.W.I AIR c::-1.1 "EO. 15 l ?

_ _._l-1:_00_0 _ _ ._L __

_ ...:. ____ .] ____ L __ .;_ -~

---~- -• _L_

:~.=-'-·=t~ 1-"- l

+-L....L ___ _c_. .

ROOM SOLAR

a STRUCTURAL HEAT GAIN (BTU/HR) 1Q

TEMP. CONTROLLED CCNSTANT

HEATING SOURCES~ INTERNAL CAPACITY TMP. HEAT GAIN (BTU/HR) IOFF (BTU/HR)

40 •l 50

.... :z:

"' r .., "' :::1

~ 0

IS .., :z:

I .J

~ a: z c 0

REQUIRED

'-)

0

Page 79: Computerized methods for estimating heating-cooling ...

71.

MCGRAW HILL OFFICE BUILDING • 1 CBDP' SYSTEM TEST - 4/23/69

BUILDING OFFICES - 101 INTERIOR • 102 EXTERIOR

OCCUPANCY CONDITION SUMMARY ------~-~---~----~---------

OCCUPIED CONDITION 1ST OCC. ------~-

INSIDE DESIGN TEMP 75. Fe WEEKDAY 7 TO 24 WINTER OUTSIDE DESIGN -s. Fe SATURDAY 7 TO 24 SUMMER OUTSIDE DESIGN 95. Fe SUNDAY 0 TO 0

IN SPACE ROOM SUMMARY

RMe HEAT ------IN SPACE HEAT GAINS·----- PCT TOT NOe LOSS SOLAR TE/CONT OTHER LTG RIA CFM --- --------- -------- -------- -------- ----- -----~ 101 o. o. o. o. 224· Oe65 79290. 102 479611· 595386· o. o. 105· Oe65 37010.

VENTILATING SYSTEM

2ND OCCe --~.-.----

0 TO 0 0 TO 0 0 TO 0

NOe PEO

287 133

FANS 143. KW CEIL PLENt LOSS 474880. BTUH, GAIN 281615. BTUH

UNOCCUPIED CONDITION lST occ. 2ND OCC. -------- --------INSIDE DESIGN TEMP 75. Fe WEEKDAY 1 TO 6 0 TO 0 WINTER OUTSIDE DESIGN -5. Fe SATURDAY 1 TO 6 0 TO 0 SUMMER OUTSIDE DESIGN 95. Fe SUNDAY 1 TO 24 0 TO 0

IN SPACE ROOM SUMMARY

RMe HEAT ------IN SPACE HEAT GAINS------ PCT TOT NOe NOe LOSS SOLAR TE/CONT OTHER LTG RIA CFM PEO

--------- -------- -------- -------- ----- ------101 o. o. 610927. o. 45· 0.65 79290. 0 102 479611· 595386. 286692· o. 21· Oe65 37010. 0

VENTILATING SYSTEM FANS 143. KW CEIL PLENt lOSS 474880. BTUHt GAIN 281615. BTUH

Page 80: Computerized methods for estimating heating-cooling ...

72.

MCGRAW HILL OFFICE BUILDING- 1 CBOP' SYSTEM TEST - 4/23/69

BUILDING OFFICES - 101 INTERIOR - 102 EXTERIOR

HEATING POSSe HTe FAN USAGE BY RECLAIM USAGE

JAN 398077. MBTU 398077. MBTU 102959· FEB 378900. MBTU 378900· MBTU 102959• MAR 287902. MBTU 287902. MBTU 102959. APR 78419. MBTU 78419. MBTU 102959· MAY 17156. MBTU 17156. MBTU 102959· JUN 3865. MBTU 3865. MBTU 102959. JUL 732. MBTU 732. MBTU 102959. AUG 3031. MBTU 3031. MBTU 102959. SEP 23614. MBTU 23614. MBTU 102959· OCT 132685. MBTU 132685. MBTU 102959· NOV 225787. MBTU 225787. MBTU 102959. DEC 435835. MBTU 435835. MBTU 102959·

COOLING AVAIL HTe USAGE FOR RECLe

JAN 114573. MBTU 114573. MBTU FEB 54172. MBTU 54172. MBTU MAR 189426. MBTU 189426. MBTU APR 542661. MBTU 542661. MBTU MAY 996769. MBTU 996769. MBTU JUN 1310597. MBTU 1310597. MBTU JUL 1621755. MBTU 1621755. MBTU AUG 1483351. MBTU 1483351. MBTU SEP 932817. MBTU 932817. MBTU OCT 477386. MBTU 477386. MBTU NOV 340480. MBTU 340480. MBTU DEC 87578. MBTU 87578. MBTU

Page 81: Computerized methods for estimating heating-cooling ...

73.

MCGRAW HILL OFFICE BUILDING - 1 CBOP• SYSTEM TEST - 4f2J/69

MECHANICAL EQUIPMENT ROOM - ROOM 201

OCCUPANCY CONDITION SUMMARY

----------~------~---------

OCCUPIED CONDITION lST occ. --------INSIDE DESIGN TEMP 75. Fe WEEKDAY l TO 24 WINTER OUTSIDE DESIGN -s. Fe SATURDAY 1 TO 24 SUMMER OUTSIDE DESIGN o. Fe SUNDAY l TO 24

IN SPACE ROOM SUMMARY

RMe HEAT ------IN SPACE HEAT GAINS------ PCT TOT NOe LOSS SOLAR TE/CONT OTHER LTG R/A CFM

--------- -------- -------- --------- ----- ------201 o. o. o. o. o. o.oo 4000.

VENTILATING SYSTEM FANS l3e KW

2ND occ. ---------0 TO 0 _o TO o· 0 TO 0

NOe PEO ----

. .(t

Page 82: Computerized methods for estimating heating-cooling ...

MCGRAW HILL OFFICE BVILDING • •cBOP' SYSTEM TEST - 4123/69

MECHANICAL EQUIPMENT ROOM • ROOM 201

HEATING POSSe HT. FAN USAGE BY RECLA I r.1 USAGE

JAN 95674. MSTU o. MBTU 9432· FEB 92834. MBTU o. MBTU 9432. MAR 73937. MBTU o. MBTU 9432· APR 25256. MBTU o. MBTU 9432. MAY 6766. MBTU o. MBTU 9432· JUN 2076. MBTU o. MBTU 9432· JUL 414. MBTU o. MBTU 9432· AUG 1867. MBTU o. MBTU 9432· SEP 8003· MBTU o. MBTU 9432· OCT 36692· MBTU o. MBTU 9432· NOV 55690· MBTU o. MBTU 9432. DEC 102153· MBTU o. MBTU 9432•

COOLING AVAIL HTe USAGE FOR RECLa

JAN o. MBTU o. MBTU FEB o. MBTU o. MBTU MAR o. MBTU o. MBTU APR o. MBTU o. MBTU MAY o. MBTU o. MBTU JUN o. MBTU o. MBTU JUL o. MBTU o. MBTU AUG o. MBTU o. MBTU SEP o. MBTU o. MBTU OCT o. MBTU o. MBTU NOV o. MBTU o. MBTU DEC o. MBTU o. MBTU

74-.

Page 83: Computerized methods for estimating heating-cooling ...

75

MCGRAW HILL OFFICE BUILDING - 1 CBOP' SYSTEM TEST - 4/23/69

SUMMARY OF SPACE CONDITIONING USAGE

--------------------~-------------

HEATING SYSTEM SUMMARY

-----------------------RESISTANCE HEATING AIR

HANDLER DEMANDS USAGE USAGE

(KW) tKWHRS) tKWHRS) ------- ------- _ .. _ ... ____ JAN 413e1 136052. 112391. FEB 340.7 129671. 112391. MAR 268e3 94482. 112391. APR 85e6 25802. 112391. MAY 16.0 6287. 112391. JUN 9.6 1507. 112391. JUL 3e3 301. 112391. AUG 9.6 1266. 112391. SEP 22e3 8345. 112391. OCT 85.6 43495. 112391. NOV 413e1 77281. 112391. DEC 485.5 151102. 112391.

675596. 1348701.

COOLING SYSTEM SUMMARY

--------~-------------A/C CHILLER INPUT

----------------~---~-~--DEMANDS USAGE

(KW) (KWHRS) ------- .... ~----JAN 126e9 9547. FEB 78.3 4514. MAR 151e2 15785. APR 229e5 45221· MAY 280.9 83064. JUN 305.5 109216. JUL 32le2 135146. AUG 349.2 123612· SEP 273.2 77734. OCT 205e2 39782· NOV 182·1 28373. DEC 102e6 7298.

679297.

HEAT RECLAIMED

ME CHAN 1 CAL.L. Y. (KWHRS)

------------8615. 854.!h

11535, 45 7ft.•

721. 2_33. 34.

169. 918.

6131. 5190. 65.26.

5319.8·

HEAT RECLe CHILLER

USAGE (KWHRS)

-----------2450. 2430. 3280· 1301. 205. 66. ;_~ 9.

48. 261.

1743. 1476. 1856.

15130.

Page 84: Computerized methods for estimating heating-cooling ...

VIII. CONCLUSIONS

The comparison of actual experience for the McGraw Hill

Office Building with the computer estimate tends to indicate

that the program is sufficiently accurate to meet the accuracy

criterion of 10 per cent established at the outset. This how­

ever is not sufficient to justify blind obedience to the pro­

gram because one test comparison is certainly not conclusive.

The problem lies in finding large buildings with sufficient

data to allow adequate testing of the program. There will

continue to be more comparisons made as more data from build­

ings of this type becomes available, and possibly some changes

in the program will become necessary. For the present, the

attitude is that the program will be used with the results

being analyzed and judged using factors which are felt to be

reasonable from experience.

The program is one that proves to be extremely flexible

and usable. The input information can be as simplified or as

complete as desired dependent upon the stage of design and the

degree of accuracy wanted. Unlike most other programs that

require very detailed inputs with regard to heating system

components, this program can be used with general building

characteristics and a minimum of system design input to select

a particular system best suited for a given building. The

program can also be used to evaluate various schemes for

76.

Page 85: Computerized methods for estimating heating-cooling ...

,

zoning the building and the resulting effect on operating

costs.

This program in its present state should not be construed

as a final document but rather a beginning. The general feel­

ing expressed by two national groups recently, the American

Society of Heating, Refrigeration and Air Conditioning Engi­

neers' Task Force on Energy Analysis and the Automated Pro­

cedures for Engineering Consultants Group, was that the

most desirable method to approach energy analysis problems

is with the classical hour by hour approach. In this fashion

the solar and structural heat gain could be adjusted with

respect to hourly sun position and cloud cover. To take this

program and re-structure it to accept such data would be rela­

tively easy but it would extend the run time on a System 1130

to the point of being unusable, due to the extremely slow

access times to disk storage and the limited core storage

of this system. Progressing to larger computers such as a

System 360/~0 or larger with high speed disk capability

would make this re-structured program run in reasonable time,

such as 30 minutes or less. This is within the present running

time on the System 1130. The primary point to be made is that

the mathematical model developed herein for the ventilating

system and the in-space or room condition are the backbone

of this program and these are valid and easily used regardless

of the form of the weather data input. These methods can be

77.

Page 86: Computerized methods for estimating heating-cooling ...

the stepping stones to more elaborate inclusion of weather data

and still maintain the simplicity and convenience of this

program.

78.

Page 87: Computerized methods for estimating heating-cooling ...

79.

APPENDIX A

COMPUTER PROGRAM LISTING

The following pages contain a listing of the computer

program. The language used is 1130 Fortran IV and the program

consists of six main line modules and two sub-routines, with

the six main line modules being linked together using the

1 Call Link 1 technique of the 1130 System.

Main Line Modules Sub-routines

CBDPl

CBDP2

CBDP3

CBDP4-

CBDP5

CBDP6 ELEHT, ELCLG

Page 88: Computerized methods for estimating heating-cooling ...

** PROGRAM 1 CBDPl 1 - HEATING/COOLING SYSTEV PROGRA~ C w GLASER *LIST SOURCE PROGRAM •IOCSCCAP.DeTYPEwRITfRtKEYBOAP.Dell32 PRINTERtDISKl *ONE WORD INTEGERS C--OUTPUT OF PROG IS ON SYSLSTI31--~0 ASSGN NEEDED C--ERROR HALTS ON SYSLOGC15l--NO ASSGN NEEDED C--DATA INPUT ON SYSIPTI1l--NO ASSGN NEEDED

INTEGEq HPH~tHPOUT

REAL ~ATMP(24l eMICF~tJOBDSCl51

C8VVQN JOBDStTREHTCl2ltDREHTCl2leiTRHTtSLDR~Cl2ltZOESCl5l CO~~ON TBKC101tHTCOLC24e251 tSCORH(241tSCORI241 CQVMQN MAT~P,~ICF~tHT0EVC241tCL~EV(241 eiDEMAeHPINeHPOUTtNZONStNZON

1EeDC25l COV~ON 113tll4eii5ell7eilS•II9tFKWHRtiCELOtNCONOtNC~DtiREGS COV~ON CNDESI61tiSTWOC21tiEN~DC2ltlSTSAC21tl

lENSA ( Z l • IS TSU I 2 It IENSUC 2 I • IR~r.Q( 10 I tRSPHL ( 10 l tRL T'"1G I 10 l ePCTRA( 10 l, 2RVCF"( lOl tNQPEQ( lOl tRSPHG( lCl tRIGTP( lC l eiCOTP( lOl tROTHG( 101 tiHTPU( 3l01tiHRCLClOlt 4PCTCOt24ltRATMP(24ltVNREQ(24l tSPRECClOt2~ltTPCTOC5l CO~MON PE~SGerE~lL~,T~(),TSOtTIStTI~tFANK~tOSCF~ekOFH~tROFHGtTLTHGtT lOCFMtUNIHLtUNIHGtT9RAKt0~(FV,SYCFMtTE~PtPEOLTtRLtROHGtTBRKtSGCORtH

2PlltiCO~Ct IBCOt ISACeiVE~TtN~~StiHLTOtiCC~TtiFIXAt~INTOt 3IVARveiVVSJeiVVHReiECO~•lVAR~,vNc.tqEc. IHRC24e25l

DEFINE FILE lC 28~t25e·Jei(~E:Fll t2C300e50tl..t(~EF2> •31300e50tUtKREF3l OEFUIE FILE ~13JCe50t~t<qEF4le5( 300t50e'Je(REF5lt6l300e50tUtKREF6l OfFINE FILE 7(308t5Gtl..t(qEF7le8(3JOt50tUtK~EFSl t9C300t50tUti(RfF91

C --R t) :.JT I N E T 0 E S r A B L I S ~ S ·: L A ~ I '. C L U S I ::) ~ F .1\ C T ~ R S F 0 i< I '4 S P A C f S 0 LA R G A I .._. SCCRP.·i( 1 l •Je2 SC:JRH(2l•Oe2 S:CRHC3l•Oe2 SC'JRH(4l•Oe2 SCORHC5l•Oe2 SCCRH(6l•Oe2 SCO~H( 7t•Oe62 SCO~M(-.)•0,78

7:. .

Page 89: Computerized methods for estimating heating-cooling ...

PROGRAM 1 CBDP1' • HEATING/COOLING SYSTEM PROGRAM

SCORH(9l•Oe93 SCORH(10)=1e0 SCORH(11l=Oe95 SCORH(12l•Oe90 SCORH(13)•0e90 SCORH(l4)=1e0 SCORH(15l•1e0 SCORH(16l=le0 SCORH(17l=Oe80 SCORHC18)•0e75 SCORH(19)•0e50 SCORHC20)•0e40 SCORHC21)•0e30 SCORHC22)•0e25 SCORH(23)•0e20 SCORHC24)•0e20 NZONS•O NCND•O NCOND=O IREGS=1 1I3•0 114•0 1I5•0 I I 7•0 Il8•0 119•0 FKWHR•OeO

C W GLASER

c--ROUTINE TO ZERO ALL DISK DATA FILES USED FOR STORING RESULTS D1•0e0 DO 100 1•1t24 DO 101 J•1•25 HTCOLC1•J)•O.O

101 CONTINUE

PAGE 02

00 t-' .

Page 90: Computerized methods for estimating heating-cooling ...

PROGRAM 'CBDP1 1

HTDEM(I)•OeO CLDEM(l)=OeO

100 CONTINUE DO 102 J=2t9 DO 103 I=lt12

HEATING/COOLING SYSTEM PROGRAM

IREC=I*25-24 WRITE(J'IREC)(HTDEM(K)eK•1t24)tD1 IREC:r::IREC+l WRITE(J 1 IREC)((HTCOL(MeN)tN•1t25ltM•1e24l

103 CONTINUE 102 CONTINUE

1000 READC2t310)ICDNOeJOBDStNZONE 310 FORMAT(l2tl5A4t!2)

IFCICDN0-1)ll0ellltll0 110 IBCD=l

WRITE(1 tl2)IBCD

C W GLASER

12 FORMAT(' DATA CARD READ BY LOGICAL UNIT SVS007 WAS NOT TYPE '•I2t' 1• RE-LOAD CARDS IN PROPER SEQUENCE AND PUSH START TO RECOVER')

PAUSE GO TO 1000

111 DO 1100 I=lel2 DREHT(I)•OeO TREHT(l)•OeO BLDRH(l)=O.O

1100 CONTINUE I TRHT•O CALL LINK (CBDP2) END

FEATURES SUPPORTED ONE WORD INTEGERS IOCS

PAGE 03

ex:> 1'\J .

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** PROGRAM 1 CBOP2' • HEATING/COOLING SYSTEM PROGRAM C W GLASER *ONE WORD INTEGERS *LIST SOURCE PROGRAM *IOCS(CAROtTYPEWRITERtll32 PRINTER)

INTEGER HPINtHPOUT REAL MATMP(24l tMICFMtJOBDS(lSl COMMON JOBOStTREHT(l2ltDREHTil2ltiTRHTtBLDRH(l2ltZDESil5) COMMON TBK(l0ltHTCOL(24t25l tSCORH(24ltSCOR(24l COMMON MATMPtMICFMtHTDEM(24ltCLDEM(24ltiDEMAtHPINtHPOUTtNZONStNZON

1Et0(25l COMMON II3tii4tll5tll7tll8ti19tFKWHRtlCELPtNCONDtNCNDtiREGS COMMON CNDES(6)tiSTW0(2ltiENW0(2ltiSTSA(2lti

lENSA(2ltlSTSU(2ltlENSUI2l tlRMNO(lQ) tRSPHL(l0ltRLTHG(l0ltPCTRA(l0)t 2RMCFM110ltNOPEO<lOltRSPHG(lQ) tRIGTP(l0ltiCOTP(l0ltROTHG(l0ltiHTPU( 3lOltiHRCL(l0lt 4PCTC0(24ltRATMP(24ltVNREQ(24) tSPREQ(l0t24ltTPCT0(5)

COMMON PEOSGtPEOLGtTWOtTSOtTIStTIWtFANKWtOSCFMtROFHLtROFHGtTLTHGtT 10CFMtUNIHLtUNIHGtTBRAKtDHCFMtSMCFMtTEMPtPEOLTtRLtROHGtTBRKtSGCORtH 2P11tiCDNOt IBCDt ISACtiVENTtNRMStiHLTDtiCONT,IFIXAtMINTPt 3IVARVtlVVSUtiVVHRtiECONtiVARAtMNCtiRECt IHRI24t25)

DEFINE FILE l(288t25tUtKREFllt2(300t50tUtKREF2l t3(300t50tUtKREF3l DEFIN~ FILE 4(300t50tUtKREF4l t51300t50tUtKREFSlt6(300t50tUtKREF6l DEFINE FILE 7(300t50tUtKREF7lt8(300t50tUtKREF8)t9(300t50tUtKREF9) NCND=NC~D+l IF(IREGSll001tlC02tlOOl

1001 READ(2t310liCDNOtZDEStNCOND 310 FORMAT(I2t15A4tl2l

NZONS•NZONS+1 IREGS=O IF(lCDN0•2)112t113t112

112 IBCD•2 WRITE (1t12liBCD

12 FORMAT(' DATA CARD READ BY LOGICAL UNIT SYS007 WAS NOT TYPE '•I2t' l• RE~LOAD CARDS IN PROPER SEQUENCE AND PUSH START TO RECOVER' l

PAUSE 00 w .

Page 92: Computerized methods for estimating heating-cooling ...

PROGRAM 'CBDP2 1

GO TO 1001 113 CONTINUE

HEATING/COOLING SYSTEM PROGRAM C W GLASER

1002 READt2t313liCDNOtCNDEStlSACtiVENTtiDEMAtNRMStPEOSGtPEOLGtTWOtTIStT 1 SO • T I W • I HL T D' t IS TW D t I l t IE N WD t I l ' IS T SAt I l , IE NSA t I l , IS T SU ( I l , I EN SU ( I 2hi=1t2)

313 FORMATtl2t6A4t4I2t5F3eOtF5eOt13I2l IF(ICDN0-3l114t115t114

114 IBCD=3 wRITE (1t12liBCD PAUSE GO TO 1002

115 1F(IVENT-1)116t117t116 116 GO TO 1100 117 READ(2t314)ICDNOtFANKWtiCONTtlFIXAtOSCFMtMINTPtMICFMtlVARVtiVVSUtl

1VVHRtlECONtiTRHTtMATMPtiCELP 314 FORMATti2tF4eOt2I2tF5eOti2tF5eOt212t2Ilti2t24F2eOtl2)

1F(ICDN0-4)118tl19t118 118 IBC0•4

WRITE (1t12llBCD PAUSE GO TO 117

119 IF(ICELP-1l120t121t120 120 GO TO 1100 121 REA0(2t315liCDNOtROFHLtROFHG 315 FORMATti2t2F7eOl

lF(lCDN0-5l122t123t122 122 IBCD=S

WRITE (lt12liBCD PAUSE GO TO 121

1100 CONTINUE 123 DO 507 NRM=1tNRMS

REA0(2t316liCDNOtlRMNO(NRM)tRSPHL(NRM)tRLTHG(NRM)tPCTRA(NRM)tRMCFM

PAGE 02

00 ~· .

Page 93: Computerized methods for estimating heating-cooling ...

PROGRAM •CBOP2• • HEATING/COOLING SYSTEM PROGRAM C W GLASER

l(NRMitNOPEO(NRMltRSPHG(NRM)tRIGTP(NRM)tlCOTP(NRMltROTHG(NRM)tiHTPU 2(NRMitlHRCL(NRM)

316 FORMAT(I2ti3tF8e0tF4eOtF3e2tF5e0ti3tF7,0tF7,0,I2tF7eOt212) IF(ICON0-61124t125t124

124 IBCD=6 WRITE ( ltl2) IBCD PAUSE GO TO 123

125 CONTINUE 507 CONTINUE

C--THIS COMPLETES DATA READ-IN FOR ONE CONDITION C ROUTINE TO ESTABLISH PER CENT OCCUPANCIES BY HOUR

TPCTO(NCND)•OeO DO _500 I•lt2~-PCTCO(I)•Oe0

500 CONTINUE DO 501 I•lt2 Il=ISTWD(I) I2=IENWD(II IF(I2-Il)100tl00t101

101 DO S02 J=Ilti2 PCTCO(J)•PCTCO(JI+5e0

502 CONTINUE 100 Il•ISTSA( I)

I2•IENSA( I I IF(l2-l1)102tl02tl03

103 DO 503 J•Ilti2 PCTCO(J)=PCTCO(J)+1e0

503 CONTINUE 102 I1•ISTSU(Il

I2•IENSU(Il IF(l2-I11104t104t105

105 00 504 J=Ilti2

PAGE 03

00 U'1 .

Page 94: Computerized methods for estimating heating-cooling ...

PROGRAM 1 CBDP2 1 - HEATING/COOLING SYSTEM PROGRAM

PCTCO(J)•PCTCO(J)+1e0 504 .CONliNUE 104 CONTINUE 501 CONT.INUE

DO 505 I•1t24 IFCPCTCO(l)•Oe05)106t106t107

106 PCTCO(I)•OeO GO.TO 505

107 PCTCO(I)•PCTCOCI)/7e0 TPCTOCNCND)=TPCTOCNCND)+PCTCOCI)

C W GLASER

C--END OF ROUTINE TO ESTABLISH PER CENT OCCUPANCIES BY HOUR 505 CONTINUE

TPCTOCNCND)•TPCTOCNCND)/24e0 C--BEGIN.CHECKING FOR TYPE OF SYSTEM • VENTILAJION

IFCIVENT•l)1005,128tl005 C••CHECK FO~ CEILING PLENEUM RETURN AND CALCULATE RETURN AIR TEMPe

128 IFCICELP•1)129t130t129 C-·CALCULATE RETURN AIR TEMP FOR CEILING PLENIUM RETURN

130 I CK•O TLTHG•OeO TOCFM=OeO IFCIHLTD)204t204t205

204 IHLTD•CTIS-TWO) 205 DO 600 I•1tNRMS

TLTHG•TLTHG+RLTHG(l)*PCTRA(I) TOCFM•TOCFM+RMCFM(I)

600 CONTINUE TLTHG•TLTHG*3413e UNIHL=ROFHL/IHLTO ITOD•-3 IT=-5 DO 601 I=lt24 IFCICK)250•250t20l

PAGE 04

cxr C]1

Page 95: Computerized methods for estimating heating-cooling ...

PROGRAM 1 CBDP2' - HEATING/COOLING SYSTEM PROGRAM C W GLASER

250 RATMP(I)•((1.08*TIS*TOCF~)+TLTHG+(UNIHL*ITOD))/(le08*TOCFM+UNIHL) IFCRATMP(I)-TIS)202t202t203

202 ITOD•ITOD+5 1T•IT+5 GO TO 601

203 ICK•l UNIHG•ROFHG/CTSO•IT) TBRAK=IT

201 IFCITOD-TIS)249t249t248 248 UNIHL.•OeO 249 RATMP(I)•((1e08*TIS*TOCFM)+TLTHG+UNIHG*(ITOD•TBRAK)+(UNIHL*ITOD))/

l(leOB*TOCFM+UNIHL) ITOD•ITOD+5 _l!•lT~~ _

601 CONTINUE GO TO 131

129 DO 510 I•1t24 RATMP(l)•TIS

510 CONTINUE 131 CONTINUE

C--CHECK TO SEE IF SYSTEM IS FIXEOC135) OR VARIABLE (134) o.s. AIR IFCIFIXA-1)134t135t134

C~•ROUTINE TO ESTABLISH MIXED AIR TEMP WlTH FIXED OeS• AlR 135 TOCFM=OeO

DHCF,..,•OSCFM DO 511 I•ltNRMS TOCFM=TOCFM+RMCFMCI)

511 CONTINUE IOST=-3 DO 512 I•1t24 MATMP(I)•( (OSCFM*IOST)+(TOCFM•OSCFM)*RATMPCI))/TOCFM IF(MATMP(I)-MINTP)l36t211t211

136 MATMP(Il=MINTP

PAGE 05

C1J ':-I .

Page 96: Computerized methods for estimating heating-cooling ...

PROGRAM 1 CBDP2'

211 IOST=IOST+S 512 CONTINUE

GO TO 1003

HEATING/COOLING SYSTEM PROGRAM C W GLASER

C--ROUTINE TO ESTABLISH MIXED AIR TEMP WITH VARIABLE OeSe AIR 134 TOCFM•OeO

DHCFM•MICFM DO 514 I•1tNRMS TOCFM•TOCFM+RMCFM(l)

514 CONTINUE 1004 DO 513 l•lt24

IX• I ID•C I-1J*S•3 IFCMATMPCIJ•Oe5ll37tl38t138

.137 WRITE lltl7J .. 17 FORMAT(' MIXED AIR TEMP PROFILE ON VENT CARD 4 NOT PROPERLY FILLED

1 OUT 1 / 1 CORRECT CARDt R£PLACE IN HOPPER WITH REMAINING UNREAD CARDS 2 FOLLOWING AND PUSH START')

PAUSE READC2t314)ICDNOtFANKWtiCONTtiFIXAtOSCFMtiVARAtSMCFMtMATMP GO TO 1004

138 IFCCMATMPti)-5eOl-Oe005ll40tl40tl39 c--A 5 IN ANY MATMP POSITION WILL SET 0 SeAIR TO MIN FOR REMAINING MATMP

139 TEMP=CCMICFM*IDl+CTOCFM•MICFMl*RATMPCI))/TOCFM IFCMATMPCI)-TEMP)513t513tl42

142 ~ATMP(l)=TEMP 513 CONTINUE

GO TO 1003 140 DO 515 J=IXt24

ID•tJ•U*5-3 MATMPtJl•CCMICFM*IDl+CTOCFM•MICFMl*RATMP(J))/TOCFM

51? CONTINUE GO TO 1003

C•-THIS COMPLETES DETERMINATION OF MIX AIR TEMPERATURES

PAGE 06

CXl CXl .

Page 97: Computerized methods for estimating heating-cooling ...

PROGRAM 'CBDP2 1 HEATING/COOLING SYSTEM PROGRAM

1003 IFCIVARV-1)143t144t143 C--ROUTINE TO SET UP VARIABlE VOLUME COOLING REQUIREMENTS

144 IFCIECON•1)145tl46t145 146 IE•((IVVSU+3)/5)+l

DO 516 I•ltiE VNREQ(II•OeO

516 CONTINUE IE•IE+1 DO 517 I•IEt24 IFCICELP•1J147tl48tl47

C W GLASER

148 VNREQ(I)•TLTHG+(IVVSU•MATMP(l))*1e08*TOCFM•FANKW*34l3e GO TO 517 ---- - .

147 VNREQ(I)•(IVVSU•MATMP(I))*le08*TOCFM•FANKW*3413e 51~ C.Q~T_HiUE .

GO TO 1006 145 DO 518 I=lt24

VNREQ(I)•CIVVSU•MATMP(I))*le08*TOCFM•FANKW*34l3e 518 CONTINUE

GO TO 1006 C--ROU} I NE TO SET UP S T ~0-~~D VENT I LAT ION SV ST.EM

143 DO 519 I•lt24 VNREQCI)•(TIS•MATMP(I) )*le08*TOCFM•FAN~W*34l3e

519 CONTINUE GO TO 1006

C--ROUTINE TO ZERO VENT REQUIREMENT IF NO CENTRAL SYSTEM USED 1005 DO 5~9 I•lt24

VNREQCII•OeO 520 CONTINUE

C--ROUTINE TO SET UP INSPACE REQUIREMENTS 1006 IF(IHLTD)l49tl49tl50

149 IHLTD•TIS-TWO 150 DO 521 I•ltNRMS

ICK=O

PAGE 07

00 1..0 .

Page 98: Computerized methods for estimating heating-cooling ...

PROGRAM 1 CBOP2 1 HEATING/COOLING SYSTEM PROGRAM

UNIHL•RSPHL(I)/IHLTD PEOLT•OeO IT00=•3 RL•RLTHGCI) IT=-5 DO 522 J•lt24 IFCICOTPCI)-IT00)15ltl52tl52

151 ROHG=OeO GO TO 153

152 ROHG•RIGTPCI) 153 IFCICK) l54t154t155

C W GLASER

154 SPREQCitJJ•UNIHL*CTIS-ITOD)-RL*3413e*CleO•PCTRA(l))-ROHG-ROTHGCI)-1NOPEOCI)*PEOSG

IFCSPREQCitJ)•Oe5)156tl56tl57 157 ITOO=IT00+5

IT=IT+5 GO TO 522

156 ICK•1 TBRK=IT TBKCI)=TBRK UNIHG•RSPHGCI)/CTSO•IT)

155 IFCITOD-TIS)158t15.tl59 159 UNIHL•OeO

PEOLT•CNOPEOCI)*PEOLG*CITOO-TIS))/(TSO-TIS) _ 158 SPREQ(ItJ)=UNIHL*CTIS-IT00)-RL*3413e*C1eO-PCTRACI))-ROHG-ROTHG(I)-

1NOPEOCI)*PEOSG•CUNIHG*CITOD•TBRK))-PEOLT ITOO=IT00+5 IT=IT+5

522 CONTINUE 521 CONTINUE

IFCIVENT)880t881t880 880 FKWHR•FKWHR+FANKW*TPCTOCNCND)*720e0 881 CONTINUE

PAGE 08

J.l:) 0 .

Page 99: Computerized methods for estimating heating-cooling ...

PROGRAM 'CBDP2' • HEATING/COOLING SYSTEM PROGRAM

CALL LINK (CBDP5) END

FEATURES SUPPORTED ONE WORD INTEGERS IOCS

CORE REQUIREMENTS FOR COMMON 3176 VARIABLES

END OF COMPILATION

96 PROGRAM 1956

C W GLASER PAGE 09

1.0--1-' .

Page 100: Computerized methods for estimating heating-cooling ...

** PROGRAM 1 CBDP3 1 - HEATING/COOLING SYSTEM PROGRAM C W GLASER *ONE WORD INTEGERS *LIST SOURCE PROGRAM *IOCS(CARDtTYPEWRITERtKEYBOARDtll32 PRINTERtDISKl

INTEGER HPINtHPOUT REAL MATMP(24ltMICFMtJOBDS(l5l COMMON JOBDStTREHT(l2ltDREHT(l2ltiTRHTtBLDRH(l2ltZDES(l5l COMMON TBK(l0ltHTCOL(24t25J tSCORH(24ltSCOR(24l COMMON MATMPtMICFMtHTDEM(24ltCLDEM(241 tiDEMAtHPINtHPOUTtNZONStNZON

1EtD(25l COMMON II3ti14tiiStll7tii8tii9tFKWHRtiCELPtNCONDtNCNDtiREGS COMMON CNDES(6ltiSTWD(2)tiENWD(2ltiSTSA(2lti

lENSA(2ltiSTSU(2ltiENSUC21tiRMNO(l0ltRSPHL(l0ltRLTHG(l0ltPCTRA(l0lt 2RMCFM(l0)tNOPE0(10ltRSPHG(l0)tRIGTP(l0ltiCOTP(l0ltROTHG(l0ltiHTPU( 3lOltiH~CL(l0lt

4PCTCOC241tRATMP(24ltVNREQ(24)tSPREQJlOt24)tTPCT0(5) . COMMON PEOSGtPEOLGtTWOtTSOtTIStTIWtFANKWtOSCFMtROFHLtROFHGtTLTHGtT lOCFMtUNIHLtUNIHGtTBRAKtOHCF~tSMCFMtTEMPtPEOLTtRLtROHGtTBRKtSGCORtH 2PlltiCDNOt IBCDt ISACtiVENTtNRMStlHLTDtiCONTtiFIXAtMINTPt 31VARVtlVVSUtlVVHRtiECONtlVARAtMNOtiRECt IHR(24t251 _

DEFINE FILE l(288t25tUtKREFllt2(300t50tUtKREF2)t3(300t50tUtKREF31 DEFINE FILE 4(300t50tUtKREF4lt5(~0Qt,OtUtKREF5lt6(300t50tUt~REE§l DEFINE FILE 7(300t50tUtKREF7lt8(300t50tUtKREF8lt9(300t50tUtKREF9l

C--THIS COMPLETES SYSTEM BALANCES FOR HEATING AND COOLING IF(ISACl820t82lt820

820 II4~l

821 CONTINUE DO 525 MNO•ltl2

c--WEATHER DATA READ ROUTINE FROM DISK FILE 1 IREC•MN0*24-23 READ(l'IRECl ((IHR(ItJitJ•lt25lti•lt24l

c--ROUTINE TO CALCULATE SYSTEM ENERGY REQuiREMENTS. C--SIGN INTEGRITY MUST BE MAINTAINED c--ROUTINE TO SET UP SOLAR CORRECTION FA,TORS

DO 533 I=lt24 \0 1'\J .

Page 101: Computerized methods for estimating heating-cooling ...

PROGRA~ 'CBDP3 1

SCORCI l•leO 533 CONTINUE

HEATING/COOLING SYSTEM PROGRAM C W GLASER

GO TO C194t194t195t196t197t198t199t198t195t195t194tl941tMNO 194 DO 534 1•9t15

SCORCil•1eO-SCORHCil 534 CONTINUE

GO TO 200 195 DO 535 I•9tl7

SCORCil•1•0-SCORHCil 535 CONTINUE

GO TO 200 196 DO 536 1•7tl7

SCORCtl•l•O•SCORHCil 536 CONJINUE

GO TO 200 197 DO 537 1•7tl9

SCORCil•leO-SCORHCil 537 CONTINUE

GO TO 200 198 DO 538 I•lt24

SCORCil•1eO-CSCORHCil*Oe5l 538 CONTINUE

DO 539 I•7t19 SCORCil•1•0-SCORHCil

539 CONTINUE GO TO 200

199 DO 540 1•1t24 SCORCil•1eO•SCORHCI)

540 CONTINUE 200 CONTINUE

c--END OF ROUTINE TO SET UP SOLAR CORRECTION. DO 528 N•1tNRMS RHTDM=OeO

PAGE 02

. 1.0 L/.J •

Page 102: Computerized methods for estimating heating-cooling ...

PROGRAM 1 CBOP3'

ICKl=O

HEATING/COOLING SYSTEM PROGRAM

DO 526 Il=lt24 DO 527 JJ•lt25 HTCOLCIItJJ)•OeO

527 CONTINUE 526 CONTINUE

ITR•-3 HPIN•IHTPU,Nl HPOUT=IHRCL,Nl DO 523 I•1t24

C--CHECK FOR LATENT LOAD ON VENT-INCLUDED ONLY ABOVE TIS IFCIVENT)210t162t210

210 IF(ITR-TIS)162tl63t163 162 .TEMP•OeO

GO TO 164 163 TEMP•OHCFM 164 CONTINUE

IFCSPREQCNtl)-Oe05)165tl66tl66 166 SGCOR•OeO

GO TO 167 165 SGCOR•RSPHG(N)*(ITR-TBK(Nll/(TSO-TBKCNll 167 CONTINUE

DO 524 J•1t24 1F(PCTCO(J)-Oe05l52.4t524tll64

1164 IFCITRHT-lll200tl20ltl200 1201 IFCITR-55)1200tl200t1202 _

C ROUTINE TO HANDLE TERMINAL REHEAT ABOVE 55 DEGREES Fe

C W GLASER

1202 HTCOL(ItJl•-((MATMPCil-55eOl*l•08*RMCFM(Nl+FANKW*3e413*(R~CFM(Nl/T lOCFMll*IHR(ItJl*PCTCO(Jl

ICK1ci. RHEATc((SPREQ(Ntil+SGCOR*SCOR(J) l*IHR(ItJ)*PCTCOtJl)-HTCOLti,J) RHOEM=RHEAT/(IHR(ltJl*PCTCO(JJ) IF(RHTDM-RHDEMll203tl204tl204

PAGE 03

1,0.

+ .

Page 103: Computerized methods for estimating heating-cooling ...

PROGRAM 1 CBDP3 1 HEATING/COOLING SYSTEM PROGRAM

1203 RHTDM=RHDEM 1204 CONTINUE

TREHT(MNO>=TREHT(MNOl+RHEAT GO TO 524

C W GLASER

1200 HTCOL(.ItJ)c(VNREQ(Il-TEMP*e4840*(IHR(I,25) •TIWl)*IHR(ltJl 1( RMCFM ( N l I TOCFM l + ( ( SPREQ ( N, I l +SGCOR *SCOR ( J) _)*I HR ( I t J)) HTCOL(ItJl=HTCOL(ItJ)*PCTCO(J)

524 CONTINUE IF(ICK1•lll205tl206tl205

1206 ICKl=O _ HTCOL(It25l=•((MATMP(I)•55.0l*1•08*RMCFM(Nl+FANKW*3•413*CRMCFM(Nl/

1 TOCFM l ) GO TO 523

1205 HTCOL( I t25l•(VNREQ( I l•TEMP*•4840*( IHR( I t..2.5J ·TIWl li!JBM,FMtN.L/TO 1CFMl+SPREQ(Ntil

ITR•ITR+5 HTCOL(It25l=HTCOL(It25l•TPCTO(NCND)

523 CONTINUE DREHT(MNOl•DREHT<MNOl+RHTDM

C--ROUTINE TO DETERMINE MAXI~UM DEMANDS FOR CO.N.D IF DESIRED IF<IVENT)825t826tB25

825 TEMPD•FANKW GO TO 827

826 TEMPD=OeO 827 CONTINUE

DO 800 I•lt24 HTDEM(Il•O.O CLDEM(Il=O.O

800 CONTINUE IF(IDEMA)281t280t28l

281 DO 801 I•1t24 DO 802 Jc1t24 IF(HTCOL(Jtll-0.05)802t802t283

PAGE 04

~ l/1 .

Page 104: Computerized methods for estimating heating-cooling ...

PROGRAM 1 CBOP3 1 HEATING/COOLING SYSTEM PROGRAM

283 HTDEM(Il•(HTCOL(Jtil/(PCTCO(ll*IHR(Jti)ll+TEMPO GO TO 282

802 CONTINUE 282 DO 807 J=lt24

JJ•25•J IF( HTCOL(JJtllt0.05)2$4t807t807 ... _

284 CLOEM(ll•CHTCOL(JJtll/(PCTCOCil*IHRCJJtilll•TEMPD GO TO 801

807 CONTINUE 801 CONTINUE .

c--ROUTINE TO STORE DEMANDS IN ZONE FILES IREC•MN0*25-24 ___ _ REA0(2 1 1REC)(0(K)tK•lt2~J DO. 803. l•lt24 __ ·- .. __ _ DC 1)•0( I l+HTDEMC I)

803 CONTINUE .. WRITEC2 1 IREC)(0(KltK•lt25) IFCHPIN)289t288t289

289 READ(3 1 IRECl(0(KJtK•lt25l DO 804 I•lt24 0( I l•O( I l+HTDEM( I l

804 CONTINUE WRITEC3 1 IREClCOCKltK•lt25l

288 IFCISACl29lt280t29l 291 REA0(4'IRECl(0(Kl tK•lt25)

DO 805 I•lt24 Dtil•D(I)+CLDEM(I)

805 CONTINUE WRITE(4 1 IRECl(D(KltK•lt25l IF(HPOUTl293t280t293

293 REA0(5 1 IRECl(0(KltK=lt25l DO 806 I•lt24 D ( I l•D ( I l +CLDEM ( I l

C W GLASER PAGE 05

1.0 0'1 .

Page 105: Computerized methods for estimating heating-cooling ...

PROGRAM 1 CBDP3 1 HEATING/COOLING SYSTEM PROGRAM

806 CONTINUE WRITEI5 1 IRECl (D(KltK•lt251

280 CONTINUE C--END OF ROUTINE TO CALCULATE AND STORE DEMAND C--SORT AND DISK WRITE ROUTINE FOR USAGE

DO 808 I=lt24 IREC•MN0*25-24+I DO 809 J•lt24 IFlHTCOL(ItJl•Oe05)297t297t298

298 M=2 L=3 HPll•HPIN GO TO 850

297 IFlHTCOL(ItJl+Oe05)85lt809t809 851 M=4

L:a5 HPll•HPOUT GO TO 850

809 CONTINUE GO TO 808

850 READlM 1 IRECl(0(KltK•lt25) DO 810 K•lt25 D(K)•D(Kl+HTCOLlltK)

810 CONTINUE WRITE(M 1 IRECI!O(KltK•lt25) IFlHPll)299t808t299

299 READIL'IREC1(0(KltK•lt25) IF<L•3l822t823t822

823 I 13•1 GO TO 824

822 II5•1 824 CONTINUE

DO 811 K=1t25

C W GLASER PAGE 06

ID.

" .

Page 106: Computerized methods for estimating heating-cooling ...

PROGRAM 1 CBDP3' HEATING/COOLING SYSTEM PROGRAM

0(K)•0(K)+HTCOLCitK) 811 CONTINUE

WRITECL' IRECI COCK) tK•1t25) 808 CONTINUE 528 CONTINUE 525 CONTINUE

IFCNCONO•NCN0)815t81St816 815 IREGS•1

CALL LINK CCBOP4) 816 ITRHT•O

CALL LINK CCBDP2) END

FEATURES SUPPORTED ONE WORD INTEGERS IOCS

CORE REQUIREMENTS FOR COMMON 3176 VARIABLES

END OF COMPILATION

106 PROGRAM 1714

C W GLASER PAGE 07

4D co .

Page 107: Computerized methods for estimating heating-cooling ...

** PROGRAM 'CBDP4 1 - HEATING/COOLING SYSTEM PROGRAM C W GLASER

*ONE WORD INTEGERS *LIST SOURCE PROGRAM *IOCS(ll32 PRINTERtDISKl

INTEGER HPINtHPOUT REAL MATMPC24ltMICFMtJOBOSCl5) DIMENSION RM0112l DIMENSION DTC25t25ltTOTALC4tl2l COM~ON JOBDStTREHTC12ltDREHTC12ltiTRHTtBLDRHC12ltZDESClSl COMMON TBIC. ( 10 l tHTCOL ( 24 t25 l tSCORHC 24t )_t_SC:_OR C 24 J COMMON MATMPtMICF~tHTDEMC24ltCLDEMC24JtiDEMAtHPINtHPOUTtNZONStNZON

1EtDC25l COMMON II3tii4tii5tii7tii8tii9tFKWHRtiCELPtNCONDtNCN0tiREGS DEFINE FILE lC288t25tUtKREFlJt2C300~50tUtKREF1Jt3C300t50tUtKREF1J DEFINE FILE 4C300t50tUtKREF1JtSC300t50tUtKREFllt6C300tSOtUtKREFll DEFINE FILE 7C300t50tUtKREFlJ t8C300t50t.VtKRE_Fl) t_9(300_,~QtUtKREFlJ DEFINE FILE lOClt24tUtKREFll READClO'lJRMO DO 105 I•lt4 DO 106 J•1tl2 TOTALCitJl•OeO

106 CONTINUE 105 CONTINUE

DO 100 I•2t5 c--TIME SAVER ROUTINE FOR FILE COPYING

GO TO C200t200t203t204t205Jti 203 IFCII3l211t10Ct211 211 117•1

113•0 GO TO 200

204 IFCII4l2l2t100t212 212 I IB•l

II1t•O GO TO 200

205 IFtli5l2l3tlOOt2l3 I&· ID •

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PROGRAM 1 CBOP4 1 - HEATING/COOLING SYSTEM PROGRAM

213 119•1 II5•0 GO TO 200

200 CONTINUE 10•1-l J•I+.._ 00 101 K•ltl2 IREC•K*25•24 . READ( It IRECl ( tHTCOLCMtNl tN=lt25) tM•lt24) tO READCJ 1 IREClCCOTCMtNltN=lt25)tM•lt25) DO 102 Il•lt24 OTC1tlll•OTC1tii>+MTCOLf1tiil MTCOL(1t11)•0e0

102 CONTINUE DO 103 11=2t24 00 1030 KK•1t24 _ TOTALfiDtKI•TOTALfiOtKl+HTCOLflltKKI/1000e OTCIItKK)•DTCiltKK)+HTCOLflltKKl HTCOLCIItKK)•OeO

1030 CONTINUE 103 CONTINUE

0Tf1t25l•OTC1t251+FKWHR HTCOLC1t2Sl=Oe0 00 104 II•lt24 TOTALCIOtKl•TOTAL(IOtKl+Dflll Dflll•OeO

104 CONTINUE DO 107 11=2t24 DTfllt25)•0T(IIt2Sl+HTCOLfllt25l HTCOLfllt25l=OeO

107 CONTINUE 0T(25t25l=DTI25t25l+0(25l 0(25l•Oe0

C W GLASER PAGE 02

,_... 0 0 •

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PROGRAM 1 CBDP4 1 - HEATING/COOLING SYSTEM PROGRAM

WRITECI 1 1REC)(lHTCOL(MtN),N•lt25)tM=lt24)tD WRITECJ 1 IREC)CtDTCMtNltN=l•25)tM=lt25)

101 CONTINUE 100 CONTINUE

C--ROUTINE TO PRINT ZONE TOTALS WRITEC3t10lJOBDStZDES

10 FORMATC 1 1 1 t9Xtl5A4,//,17Xtl5A4,////) WRITEC3tll)

C W GLASER

11 FORMAT(30Xt 1 HEATING 1 tllXt 1 POSSe HT•'• 9Xt 1 FAN 1 tlt31Xt 1 USAGE 1 tl2Xt 1

lBY RECLAIM'• 7X•'USAGE 1 t//) IFCITRHT•ll400t40lt400

401 DO 403 I•ltl2 TOTALClti>=TOTALlltll+TREHT(l)/lOOOt BLORHCil•BLDRH(Il+TREHTCil/lOOOe TREHTCil•OeO

403 CONTINUE 400 DO 50 I•1tl2

WR1TEC3tl2lRMOtlltTOTALCltlltTOTALC2tl)tFKWHR _ 12 FORMATC17XtA4t3XtF10e0t 1 MBTU 1 t4XtF10eOt' MBTU 1 t4Xtf8t0) 50 CONTINUE

WRITEC3tl3) 13 FORMAT(lXt///t30Xt 1COOLtNG 1 t)2Xt 1 AVAIL HTe 1 t/t31Xt 1 USAGE 1 tl3Xt'FOR

1 RECLe 1 t//) DO 51 I•ltl2 TOTAL(3tll••TOTAL(3tl) TOTALC4tll••TOTAL(4,I) WRITE(3tl2lRMO(IltTOTALC3tiltTOTALC4til

51 CONTINUE FKWHR•OeO NCNOsO IFCNZONE•NZONSJ125tl25tl30

130 ITRHT=O CALL LINK (CBDP2l

PAGE 03

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PROGRAM 'CBOP4' HEATING/COOLING SYSTEM PROGRAM

125 CA~L LINK CCBOP6) END

FEATURES SUPPORTED ONE WORD INTEGERS IOCS

CORE REQUIREMENTS FOR COM~ON 1664 VARIABLES

END OF COMPILATION

1456 PROGRAM 840

C W GLASER PAGE 04

,_. 0 1\J .

Page 111: Computerized methods for estimating heating-cooling ...

** PROGRAM 1 CBOP5' • HEATING/COOLING SYSTEM PROGRAM C W GLASER *ONE WORD INTEGERS *LIST SOURCE PROGRAM *IOCS(CAROtTYPEWRITERtKEYBOARDtll32 PRINTERtOISK)

INTEGER HPINtHPOUT REAL MATMPC24ltMICFMtJOBOSCl5l COMMON JOBDStTREHTC12)t0REHTCl2ltiTRHTtBLORHCl2ltZOESC1Sl COMMON TBKClOltHTCOL(24t25) tSCORHC24ltSCORC24l COMMON MATMPtMICFMtHTDEMC24ltCLOEMC24)tlOEMAtHPINtHPOUTtNZONStNZON

lEtDC25J COMMON 113tll4tll5tll7tll8tll9tFKWHRtlCELPtNCONDtNCNOtlREGS COMMON CNDESC6JtiSTWOC2ltiENWDC2ltiSTSA(2lti

1ENSAC2ltiSTSUC2ltiENSUC2ltlRMNOC10l tRSPHLC10ltRLTHGCl0ltPCTRA(l0lt 2RMCFMC10ltNOPEOC10)tRSPHGC10ltRIGTPC10ltiCOTPCl0)tROTHG(l0ltiHTPUC 3l0ltiHRCLC10lt 4P~TCOC24ltRATMPC2~ltVNREQC24ltSPREQ(10t24JtTPCTOCSl

COMMON PEOSGtPEOLGtTWOtTSOtTIStTIWtFANKW,OSCFMtROFHLtROFHGtTLTHGtT lOCFMtUNIHLtUNlHGtTBRAKtOHCFMtSMCFMtTEMPtPEOLTtRLtROHGtTBRKtSGCORtH 2PlltiCONOt IBCOt ISACtiVENTtNRMStlHLTDtlCONTtlFIXAtMINTPt 3lVARVtlVVSUtlVVHRtiECONtiVARAtMNOtiRECt lHRt24t25l

DEFINE FILE .lt288t2StUtKREF1lt2t300t50tUtKREF2lt3(300t50tUtKREF3l DEFINE FILE 4t300tSOtUtKREF4ltSt300t50tUtKREFSlt6(300t50tUtKREF6l DEFINE FILE 7(300t50tUtKREF7) t8C300t50tUtKREF8lt9(300t50tUtKREF9l

C··ROUTINE FOR PRINTING ZONE OCCUPANCY CONDITIONS GO TO C101tl02t10lt102,101ltNCNO

101 WRITE(3tlOlJOBOStZDES 10 FORMATC'l 1 t9Xtl5A4t//t17Xt15A4t//t3~Xt 1 0CCUPANCY CONDITION SUMMARY

l 1 t/t34Xt 1---------------------------'t//) 102 WRITEC3t16lCNOES

16 FORMATC10Xt//tl0Xt6A4l WRITEC3t11l TIStlSTWDtlltiENWDCll tiSTWDC2l tiENWDC2l tTWOtiSTSA

1ClltiENSAC1ltiSTSAC2ltiENSAC2ltTSCtiSTSUC1ltiENSUC1ltiSTSU(2ltiENS 2UC2l

11 FORMAT( 1 + 1 t59X t 1 1ST OCCe 1 t4Xt 1 2ND OCCt 1 t/t60X,•--------',4Xt'• 1-------'tlt13Xt 1 INSIDE DESIGN TEMP' tF9e0t 1 Ft 1 t5Xt 1 WEEKOAY 1 t5Xtl2t

t-' 0 l.I.J .

Page 112: Computerized methods for estimating heating-cooling ...

PROGRAM 1 CBOP5 1 • HEATING/COOLING SYSTEM PROGRAM C W GLASER

2' TO 1 tl2t4Xtl2t 1 TO 1 ti2t/t13Xt 1 WINTER OUTSIDE DESIGN'tF6eOt' Fe' 3t5Xt 1 SATURDAY 1 t4Xtl2t 1 TO 1 ti2t4Xti2t 1 TO 1 tl2t/tl3Xt 1 SUMMER OUTSI 4DE OESIGN 1 tF6eOt 1 Fe 1 tSXt 1 SUNOAY 1 t6Xti2t 1 TO 1 tl2t4Xtl2t 1 TO 1 tl2)

WRITEC3tl2) 12 FORMATC1XtltllXt 1 IN SPACE ROOM SUMMARY 1 t/ltl3Xt 1 RMe HEAT

1-•IN SPACE HEAT GAINS------ PCT TOT NOe 1 t/13Xt 1 NOe LOSS 2 SOLAR TE/CONT OTHER LTG RIA CFM PEO'tll3Xt'--- ------3--- -------- -------- -------- ----- --~- ~----- ----•)

WRITEC3t13)CIRMNOCI)tRSPHLCI)tRSPHG(l)tRIGTPCI)tROTHG(lltRLTHGCllt lPCTRACI)tRMCFMCl)tNOPEOClltl•1tNRMS)

13 FORMATCl3Xtl3tlXtF9eOtlXtF8eOt1XtF8e0t1XtF8eOt1XtF5eOtlXtF4.2t F l7e0t1Xtl4)

IFCIVENT)l03t104tl03 103 WRITE(3t14)FANKW

14 FORMATC1Xt/tl1Xt 1 VENT1LATING SYSTEM 1 t/t13Xt 1 FANS 1 tF7e0t 1 KW'l IFCICELP)105t104t105

105 WRITEC3tl5)ROFHLtROFHG 15 FORMATC'+'t29Xt•CEI~ PLENt LQSS 1 tF9~0t 1 BTUHt GAIN 1 tF9e0t' BTUH')

104 CONTINUE CALL LINK CCBOP3l END

FEATURES SUPPORTED ONE WORD INTEGERS IOCS

CORE REQUIREMENTS FOR COMMON 3176 VARIABLES

END OF COMPILATION

78 PROGRAM 546

PAGE 02

1-' ·0 ~ •

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** PROGRAM 1 CBOP6 1 - HEATING/COOLING SYSTEM PROGRAM C W GLASER *ONE WORD INTEGERS *LIST SOURCE PROGRAM *IOCS(CARDtTYPEWRlTERtKEYBOARDtll32 PRlNTERtDISK)

REAL JOBOS(15) COMMON JOBOStTREHTC12)t0REHTCl2)tiTRHTtBLORHC12JtZDESC15) COMMON HTOEMC12)tFNKWHC12)tHTKWHC12JtlHRCLtHRCKW(l2)tRM0(12JtCLDEM

1Cl2)tCLKWHC12JtCHRCLC12)tRCKPTtRACPTtNSYSt lHSYStiCSYS DEFINE FILE 6(300t50tUtKRJt10l1t24tUtKR) DEFINE FILE 7(300t50tUtKR)t8(300t50tUtKR)t9(300tSOtUtKRJ READ(l0 1 1)RMO

1001 READC2tl3)ICDNOtJOBDStNSYS 13 FORMATCI2tlSA4ti2)

IF (1CDN0•7)102tl03tl02 102 1BCD•7

WRITECltl2JIBCO PAUSE GO TO 1001

103 CONTINUE 12 FORMAT(' DATA CARD READ BY LOGICAL UNIT SYS007 WAS NOT TYPE '•12 1 '

le RE•LOAD CARDS IN PROPER SEQUENCE AND ~~SH SiARt TO RECOVER') . 1000 READC2t10)ICDNOtlHSYStiCSYStlHRCLtRACPTtRCKPT.

10 FORMAT( I2t2I3tl2t2F8el) IF CICDN0-8)100tl01t100

100 IBCDa8 WRITEC1t12)IBCD PAUSE GO TO 1000

101 WRITEC3t1l)JOBDS 11 FORMAT( 1 1 1 t9Xt15A4t/lt27Xt 1 SUMMARY OF SPACE CONDITIONING USAGE'•/•

127Xt 1 -------~--------------~-----------'•//) c--ROUTINE TO CALCULATE HEATING SYSTEM USAGE

GO TO (51t52t52t52t52JtiHSYS 51 CALL ELEHT

GO TO 104 t-J· 0 l.1l •

Page 114: Computerized methods for estimating heating-cooling ...

PROGRAM 1 CBDP6 1 HEATING/COOLING SYSTEM PROGRAM

52 GO TO 104 104 CONTINUE

C--ROUTINE TO CALCULATE COOLING SYSTEM USAGE GO TO (6lt62t62t62t62)tlCSYS

61 CALL ELCLG GO TO 105

62 GO TO 105 ... 105 CONTINUE

CALL EXIT END

FEATURES SUPPORTED ONE WORD INTEGERS IOCS

_CORE REQUIREMENTS FOR COMMON 336 VARIABLES

END OF COMPILATION

40 PROGRAM 262

C W GLASER PAGE 02

1-' 0 0'1 .

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**SUBROUTINE ELEHT - MAINLINE 1 CBDP' HTG/CLG SYSTEM PROGRAM C W GLASER *ONE WORD INTEGERS *LIST SOURCE PROGRAM

SUBROUTINE ELEHT REAL JOBDSC15) DIMENSION DTf25)tAC12t25)t8Cl2t25> COMMON JOBOStTREHT(l2)tDREHTll2)tiTRHTtBLORHCl2ltlDESll5) COMMON HTDEMll2)tFNKWHll2)tHTKWHll2)tiHRCLtHRCKWll2)tRMOll2ltCLDEM

lC12)tCLKWHC12)tCHRCL(l2)tRCKPTtRACPTtNSYSt lHSYStiCSYS DO 50 I•ltl2 IREC•I*25•24 READC6 1 IREC>DT HTDEMfi)•OeO DO 51 J•lt24 IF lHTDEMl I )•OTCJ) )lOOt5lt51

100 HTDEMC~)•DTCJ)/3413~~ 51 CONTINUE

FNKWHCil•DTC25) IREC•IREC+l READC6'lREC)((A(KtL)tL~lt2S),K=l•l2)t((B(MtN)tN•l•25),M•ltl2) HTKWHCI>•O•O DO 52 K•ltl2 DO 53 L•lt24 HTKWHCI>•HTKWHCil+CACKtL)+BlKtL))/34l3eO

53 CONTINUE 52 CONTINUE 50 CONTINUE

IFCIHRCL)l0ltl02tl0l C•-ROUTINE TO TAKE CARE OF HEAT RECLAIM

101 DO 54 I•ltl2 IREC•I*25-23 HRCKWCI>•O.O DO 57 II•lt2 REAOC7 1 IREC> ( CACKtL> tL•lt25) tK•ltl2) READC9 1 1RECllCBCKtL)tL=lt25),K•ltl2l

,..... 0 ........ •

Page 116: Computerized methods for estimating heating-cooling ...

SUBROUTINE ELEHT ~AINLINE 1 CBOP 1 HTG/CLG SYSTEM PROGRAM C W GLASER

00 55 K=1t12 DO 56 L=1t2~ IF(ACKtL)-Oe05)56t56t103

103 IFCBCKtL)+0.05ll04t56t56 104 IFCAlKtL)+BCKtLlll05t105tl06 105 HRCKW~ll•HRCKW(ll+A<Ktll/3413.0

GO TO 56 106 HRCKWCI)•HRCKWCIJ•BCKtLl/3413.0

56 CONTINUE 55 CONTINUE

JREC•IREC+l2 57 CONTINUE 54 CONTINUE

DO .7.0 K •1 t 12 HTKWHCKl•HTKWH(Kl•HRCKW(K)

70_ CONTINUE 102 CONTINUE

WRITEC3tl0l . _ 10 FORMATC10Xt 1HEATING SYSTEM SUMMARY 1t/10Xt 1

----------------·------•

1t//t25Xt 1RESISTANCE HEATING 1t12Xt 1 AIR 1tl0Xt 1 HEAT 1t/t2)Xt 1---------2--------------1t7Xt1HANDLER1t5Xt1RECLAIME01t/t23Xt10EMANOS1tl0Xt1U 3SAGE 1t9Xt 1USAGE't5Xt 1MECHANlCALLY 1t/t25Xt'CKW) 1tlOXt 1(KWHRSl 1 t7Xt 1

4(KWHRS) 1 t6Xt 1 (KWHRS) 1 /23X'-------'9X 1 ~~-----'7X 1 ------· 1 4Xl2( 1 ~ 1 )) TOTFA•OeO TOTHT•OeO TOTRC•OeO lf(ITRHT-1)1000,l00ltl000

1001 DO 1002 I=ltl2 OREHT(Il•DREHT(ll/3413e0 IFIHTOEM(I)-OREHT(l) ll003tl004t1004

1003 HTOEM(Il•OREHT(Il 1004 HTKWH(I)•HTKWH(I)+(BLDRH(II/34l3e01 1002 CONTINUE

PAGE 02

...... 0 00 •

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SUBROUTINE ELEHT - MAINLINE 1 CBDP 1 HTG/CLG SYSTEM PROGRAM C W GLASER

1000 DO 58 I•ltl2 WRITEC3tll )RMO( I) tHTOEMC I J tHTKWH( I) tFNKWH( I) tHRCKW( I)

11 FORMAT(l4XtA4t5XtF7elt8XtF8eOt6XtF8eOt6XtF8eOI TOTHT•TOTHT+HTKWHCII TOTFA•TOTFA+FNKWHll) TOTAC•TOTRC+HRCKW(l)

58 CONTINUE WRITEC3t12JTOTHTtTOTFAtTOTRC

12 FORMATC1Xtlt36XtFlOeOt4XtF10eOt4XtF10eOt//) RETURN END

FEATURES SUPPORTED ONE WORD INTEGERS

CORE REQUIREMENTS FOR ELEHT COMMON 336 VARIABLES 1268 PROGRAM 820

END OF COMPILATION

PAGE 03

1-' 0 ~ •

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**SUBROUTINE ELCLG - MAINLINE 'CBDP' HTG/CLG SYSTEM PROGRAM C W GLASER *ONE WORD INTEGERS *LIST SOURCE PROGRAM

SUBROUTINE ELCLG REAL JOBDS(lSl DIMENSION DTC25)tAC24t25) COMMON JOBDStTREHTC12ltDREHTCl2ltiTRHTtBLDRH(l2ltZDESC15) COMMON HTDEMC12JtFNKWH(l~ltHTKWH(l2)tiHRCLtHRCKW(l2ltRMO(l2ltCLDEM

lC12JtCLKWHC12)tCHRCL(l2ltRCKPTtRACPTtNSYSt IHSYStiCSYS DO SO I •.ltl2 IREC•I*25-24 CLDEMCil•OeO READC8 1 IRECJDT DO 51 K•lt2'+ IF (CLDEMCil+DT(K)llOOt5lt51

100 C~DEMCil•-DT(K) Sl CONTINUE

CLDEM(ll•CLDEMCil*RACPT/l2000eO CHRCL(I)•(HRCKW(I)*3413e0/12000e0)*RCKPT IREC•IREC+l REAOC8 1 IREC)((A(KtL)tL•lt25ltK=lt24) CLKWH(l)•OeO DO 52 K•lt24 DO 53 L•lt24 CLKWHCil•CLKWHCil•ACKtLl

53 CONTINUE 52 CONTINUE

CLKWH(IJ•CLKWH(Il*RACPT/l2000e0 50 CONTINUE

C-•READY TO WRITE OUT RESULTS OF Ae Ce SYSTEM WRITEC3tl0l

10 FORMAT(l0Xt 1 COOLING SYSTEM SUMMARY 1 t/tl0Xt'·---------------------• lt//t30Xt 1A/C CHILLER INPUT 1 t18Xt 1 HEAT RECLe 1t/t26Xt 1·-------------2-----------'•l5Xt1CHILLER1t/t26Xt1DEMANDS1tl2Xt1USAGE1tl7X,1USAGE' 3t/t28Xt'(KW) 1 tl2Xt 1 (KWHRSl 1 tl6Xt 1 (KWHRSl 1t/t26Xt 1 ·-----·'tllXt'·--

1-' 1-' 0 •

Page 119: Computerized methods for estimating heating-cooling ...

SUBROUTINE ELCLG • MAINLINE 'CBDP' HTG/CLG SYSTEM PROGRAM C W GLASER

4----'•l4x,•----------'l TOTCL•OeO TOCRC•OeO DO 54 I•ltl2 WRITE(3 tlllRMOC I) tCLDEMC I I tCLKWH( I) tCHRCL( I) TOTCL•TOTCL+CLKWH(I) TOCRC•TOCRC+CHRCL(II

54 CONTINUE ll FORMAT(l4XtA4t8XtF7eltlOXtF8eOtl5XtF8e0)

WRITE(3tl2)TOTCLtTOCRC 12 FORMATClXtlt41XtFlOeOtl3XtFlOe0)

RETURN END

FEATURES SUPPORTED ONE WORD INTEGERS

CORE REQUIREMENTS FOR E~CLG COMMON 336 VARIABLES 1260 PROGRAM 438

END OF COMPILATION

PAGE 02

1-' ..... 1-' .

Page 120: Computerized methods for estimating heating-cooling ...

112.

APPENDIX B

WEATHER DATA UTILITY PROGRAMS

The following contains listings for the necessary utility

programs for the weather data necessary for this program. These

programs are for sorting the weather data into usable form for

data input, for storing the weather data on disk storage and

for printing the weather data file as stored.

Page 121: Computerized methods for estimating heating-cooling ...

**WEATHER DATA SORTING PROGRAM 'CBDP' SYSTEM C W GLASER *ONE WORD INTEGERS *LIST SOURCE PROGRAM *lOCS(CAROtTYPEWRITERtKEYBOARDt1132 PRINTERtDlSK) ** PROG FOR MONTHLY SUMMe OF HOURLY TEMP READINGS BY HR OF OCCURRENCE

DEFINE FILE 12(8784t12tUtKREF1l DIMENSION TEMP(24ltiHRS(24t24)tNDYSC12l KREF1•1 NOYS (l l •31 NOYS(2)•29 NOYS(3)•31 NDYS(4)•30 NDYSC5)•3l NDYS(6)•30 NDYSC7)•31 NOYSC8)•31 NDYSC9)•30 NDYSC10)•31 NDYSC11)•30 NOY$(12)•31 00 100 N•1t12 NODYS•NDYSCN) DO 101 I•lt24 00 102 J•lt24 IHRSCitJl•O

102 CONTINL)E 101 CONTINUE

DO 103 NDAYS=1tNODYS DO 104 l•lt24 READ (12 1KREFl)TEMPCiltDltD2t03tD4tD5 DUM•-OeS DO 105 J•lt24 1FCTEMP(l)•0UM)200t201t20l

200 lHRS(Jtll•lHRSCJtll+1 GO TO 104

,... .......

LAJ .

Page 122: Computerized methods for estimating heating-cooling ...

PROG FOR MONTHLY SUMM. OF HOURLY TEMP READINGS BY HR OF OCCURRENCE

201 DUM•OUM+5•0 105 CONTINUE 104 CONTINUE 103 CONTINUE

WRITEC3t300)N Il•-5 12•-1 DO 106 l•lt24 WRITEC3t301)Ilti2tCIHRSCitJ)tJ•lt24) WRITEt2t302)(1HRSlltJltJ•1t24) l1•I1+5 12•12+5

106 CONTINUE 100 CONTINUE

CALL EXIT 300 FORMAT( 1 1HOURLY TEMPERATURE READINGS FOR ST. LOUIS BY 5 QEGREE 1 11X

1 1 INCREMENTS AND BY HOUR FOR MONTH NUMBER 'I2t///1X 1 TEMP 1 3Xt241' H 2R 1 )t/1Xt 1 RANGE 1 4X 1 01 1 2X 1 02 1 2X 1 03 1 2X'04 1 2X 105 1 2X 106 1 2X 107 1 2X 1 08 1 2X' 309 1 2X 1 10'2X 1 ll 1 2X'l2 1 2X 1 13 1 2X 1 14 1 2X 1 15 1 2X 1 16 1 2X 1 17 1 2X 1 18 1 2X 1 19 1 2X' 420 1 2X'2l 1 2X 1 22 1 2X 1 23 1 2X 1 24 1 t//)

301 FORMATC1Xti2t 1 / 1 tl2tlXt24I4t/) 302 FORMATC24I3)

END

FEATURES SUPPORTED ONE WORD INTEGERS IOCS

CORE REQUIREMENTS FOR COMMON 0 VARIABLES

END OF COMPILATION

676 PROGRAM 516

PAGE 02

t-' t-' .f= •

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** WEATHER FILE LOADER PROGRAM 'CBDP' SYSTEM C W GLASER *ONE WORD INTEGERS *LIST SOURCE PROGRAM *IOCS(CAROtTYPEWRITERtKEYBOAROtll32 PRINTERtDISK) C-·PROGRAM TO LOAD WEATHER DATA FILE - STORED AS 1 WTHLD'

DIMENSION IHRC24t251 DEFINE FILE 1C288t25tUtKREF11 KREFl•l DO 100 I•lt12

_R£ADC2tl0)(CIHRCJtK)tK•lt25)tJ•lt24) 10 FORMATC24I3tl5)

WRITEC1 1 KREF1)((1HRlJJtKKltKK•lt25) tJJ•lt24) 100 CONTINUE

KREF1•1 DO 101 I•lt12 REA0(1 1KREFl)CCIHRCJJtkK)tKK•lt25)tJJ•lt24) WRITEC3t1l)CClHRCJJtKKltKK•lt25ltJJ•lt24)

11 FORMAT( •1• tltlX(25I4) I 101 CONTINUE

CALL EXIT END

FEATURES SUPPORTED ONE WORD INTEGERS IOCS

CORE REQUIREMENTS FOR COMMON 0 VARIABLES

END OF COMPILATION

616 PROGRAM 218

I-'

~-1./1 .

Page 124: Computerized methods for estimating heating-cooling ...

**WEATHER FILE PRINT PROGRAM 'CBDP' SYSTEM C W GLASER *ONE WORD INTEGERS *LIST SOURCE PROGRAM *IOCSCCARDtTYPEWRITERtKEYBOARDt1l32 PRINTERtDISK) C PROGRAM TO PRINT WEATHER DATA FILES - STORED AS WTHPR - C W GLASER

DIMENSION IHRC24e25ltHUMRC24JeRNAME(3) DEFINE FILE lC288t25tUtKREFll KREFl•l READ C2el0)NMOS DO 100 I•1tNMOS READC2e11lRNAME INDEX•I*24•23 READ(l' INDEX) ( C IHRCJeK) tK•lt25) eJ=-lt24) DO 101 II•le24 HUMR(IIl•IHRCIIt25)*0eOOOl

101 CONTINUE WRITEC3el5) WRITEC3el3) Il=--5 12•-l DO 102 II•1t24 WRITEC3el4llltl2ttlHRCiltJltJ•lt24lt~UMRClll 11•11+5 12•12+5

102 CONTINUE WRITEC3tl2JRNAME

100 CONTINUE CALL EXIT

10 FORMATtl2l 11 FORMATt3A4l 12 FOR~ATC5Xt //t26Xt 1 HOURLY WEATHER OBSERVATIONS AT UeSe WEATHER

lBUREAU STATION•'tlt25X•'ST• LOUIS MUNICIPAL AIRPORT FOR YEAR l964t Z MONTH OF 1 e3A4)

15 FORMAT( 'l 1 e////////t2lXe'--------------------HOURLY TEMPERATURE OB 3SERVATIONS-------------------- AVEe 1 l

,...... ,.... 0"1 •

Page 125: Computerized methods for estimating heating-cooling ...

WEATHER FILE PRINT PROGRAM 'CBDP' SYSTEM C W GLASER

13 FORMATI12Xt'TEMPe ----------------A M----------------*---------1-------P M---------------- HUMIDe' t/tl2Xt'RANGE l 2 3 4 5 2 6 7 B 9 10 11 12 l 2 3 4 5 6 7 8 9 10 11 12 RATIO•, 3/tlOX•'---------- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- --4-- -- -- -- -~ -- -- -- ------')

14 FORMATClOXti3t' TO 't13t2413t2XtF6e4) END

FEATURES SUPPORTED ONE WORD INTEGERS IOCS

CORE REQUIREMENTS FOR _COMMON 0 VARIABLES

END OF COMPILATION

674 .. PROGRAM 496.

PAGE 02

'"""' 1-' '-J .

Page 126: Computerized methods for estimating heating-cooling ...

118.

APPENDIX C

WEATHER DATA FILE

The following is a printout of the weather data file as

used in the test example. This data is for the year 196~ in

St. Louis, Missouri.

Page 127: Computerized methods for estimating heating-cooling ...

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100 TO 104 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 o.oo.o_o 105 TO 109 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 o.oooo 110 TO 114 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 o.oooo

HOURLY WEATHER OBSERVATIONS AT UeSe WEATHER BUREAU STATION, STe LOUIS MUNICIPAL AIRPORT FOR YEAR 1964t MONTH OF JANUARY

·•.

1-' 1-'

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---------- -- -- -- -- -- -- -- -- -- ~- -- -- -- -~ -- -- -- -- -- -- -- -- ~- -- _._. ____ ..

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5 TO 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 o.oooo 19 TO 14 0 0 0 0 0 1 1 0 1 0

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100 TO 104 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .. 0 .0 0 o.oooo 105 TO 109 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 o.oooo 110 TO 114 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 o.oooo

HOURLY WEATHER OBSERVATIONS AT UeSe WEATHER BUREAU STATION• STe LOUIS MUNICIPAL AIRPORT FOR YEAR l964t MONTH OF FEBRUARY

I-' 1\J 0 .... ~ ...

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--------------------HOURLY TEMPERATURE OBSERVATIONS-------------------- A VEe TEMPe ----------------A M----------------•----------------P M---------------- HUMlOe RANGE 1 2 3 4 5 6 1 8 9 10 11 12 1 2 3 4 5 6 7 8 9 10 11 12 RATIO

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HOURLY WEATHER OBSERVATIONS AT UeSe WEATHER BUREAU STATIONt STe LOUIS MUNICIPAL AIRPORT FOR YEAR 1964t MONTH OF MARCH

t-' 1\.l t-' .

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100 TO 104 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 o.oooo 105 TO 109 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 o.oooo 110 TO 114 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 o.oooo

HOURLY WEATHER OBSERVATIONS AT UeS. WEATHER BUREAU STATIONt STe LOUIS MUNICIPAL AIRPORT FOR YEAR l964t MONTH OF APRIL

t-' 1\J 1\J .

Page 131: Computerized methods for estimating heating-cooling ...

---------------------HOURLY TEMPERATURE OBSERVATIONS-------------------- A VEe

TEMP• ------------~---A M----------------•----------~~~-~-P M~~-~------------ HUMID• RANGE 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 7 a 9 10 11 12 RATIO

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HOURLY WEATHER OBSERVATIONS AT UeSe WEATHER BUREAU STATION• STe LOUIS MUNICIPAL AIRPORT FOR YEAR l964, MONTH OF MAY

t-' 1\J lJ.J .

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--------------------HOURLY TEMPERATURE OBSERVATIONS-------------------- A VEe TEMPe ----------------A M----------------•----------------P M---------------~ HUM IDe RANGE 1 2 3 4 5 6 1 8 9 10 11 12 1 2 3 4 s 6 1 8 9 10 11 12 RATIO

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HOURLY WEATHER OBSERVATIONS AT UeSe WEATHER BUREAU STATION• ST, LOUIS MUNICIPAL AIRPORT FOR YEAR 1964t ~ONTH OF JUNE

~

N ;:: .

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HOURLY WEATHER OBSERVATIONS AT UeSe WEATHER BUREAU STATIONt STe LOUIS MUNICIPAL AIRPORT FOR YEAR 1964t MONTH OF JULY

1-' N (J1 ..

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HOURLY WEATHER OBSERVATIONS AT u,s, WEATHER BUREAU STATION, STe LOUIS MUNICIPAL AIRPORT FOR YEAR 1964, MONTH OF AUGUST

I-' N Ol .

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HOURLY WEATHER OBSERVATIONS AT UeSe WEATHER BUREAU STATION• STe LOUIS MUNICIPAL AIRPORT FOR YEAR l964t MONTH OF SEPTEMBER

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HOURLY WEATHER OBSERVATIONS AT u.s. WEATHER BUREAU STATIONt STe LOUIS MUNICIPAL AIRPORT FOR YEAR 1964t MONTH OF OCTOBER

t-' 1\.l 00 .

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HOURLY WEATHER OBSERVATIONS AT u.s. WEATHER BUREAU STATIONt ST• LOUIS MUNICIPAL AIRPORT FOR YEAR l964t MONTH OF NOVEMBER

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HOURLY WEATHER OBSERVATIONS AT U•S• WEATHER BUREAU STATIONt ST• LOUIS MUNICIPAL AIRPORT FOR YEAR 1964t MONTH OF DECEMBER

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131.

X. BIBLIOGRAPHY

AMERICAN SOCIETY OF HEATING, REFRIGERATION AND AIR CONDITIONING

ENGINEERS, 11 Handbook of Fnndamentalsn, pp. 4-05-518,

George Banta Co. Inc., 1967 Edition.

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132.

XI. VITA

Carl William Glaser was born on January 5, 1935 in

Chesterfield, Missouri. He received his elementary education

in Chesterfield, Missouri and his high school education in

Eureka, Missouri. He attended University of Missouri - Rolla

and received a Bachelor of Science Degree in Electrical

Engineering.

Since 1956 he has been employed by Union Electric Company

and presently is Senion Engineer in the Special Projects

Division of the Marketing Department. He enrolled in Graduate

School at Washington University in 1964 and transferred to

St. Louis Graduate Center, University of Missouri - Rolla in

1965.


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