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12 Cooling Load Calculations

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Cooling Load
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Page 1: 12 Cooling Load Calculations

Cooling Load

Page 2: 12 Cooling Load Calculations

Contents

• Principle of cooling load• Why cooling load & heat gains are different • Design conditions• Understand CLTD/CLF method• An example

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Cooling Load • It is the thermal energy that must be removed

from the space in order to maintain the desired comfort conditions

• HVAC systems are used to maintain thermal conditions in comfort range

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Purpose of Load Estimate

• Load profile over a day• Peak load (basis for equipment sizing)• Operation Energy analysis• HVAC Construction cost

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• Enclosure heat transfer characteristics– Conduction– Convection– radiation

• Design conditions– Outdoor & indoor

• Heat Gains– Internal – External or Solar

• Thermal capacity

Principles of cooling Load Estimate

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Space Characteristics

• orientation• Size and shape• Construction material• Windows, doors, openings• Surrounding conditions• Ceiling

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Space Characteristics

• Occupants (activity, number, duration)• Appliances (power, usage)• Air leakage (infiltration or exfiltration)• Lighting (W/m2)

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Indoor Design ConditionsBasic design parameters• Air temperature

– Typically 22-26 C• Air velocity

– 0.25 m/s• Relative humidity

– 30-70 % • See ASHRAE 55 – 2004 Comfort Zone

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Indoor Design Conditions• Indoor air quality

– Air contaminants– Air cleaning

• Acoustic requirements• Pressurization requirements

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Outdoor Design Conditions• Weather data required for load calculation

– Temperature & humidity– Wind speed, sky clearness , ground reflectance etc

• Design outdoor conditions data can be found in ASHRAE Fundamentals Handbook

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Outdoor Design Conditions• ASHRAE Fundamentals 2001

– Design severity based on 0.4%, 1%, & 2% level annually (8760h)

– For example at 1% level, the value is exceeded in 0.01x8760h = 87.6 h in a year

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Outdoor Design For Cooling

Criteria: 0.4% DB and MWB

Station Cooling DB/MWB

MiriMalaysia

0.4% 1% 2%

DB (˚C ) MWB ( ˚C )

DB MWB DB MWB

32.2 26.3 31.8 26.3 31.4 26.2

Source: ASHRAE Fundamentals 2001

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Terminology• Space- a volume without partition or a group

of rooms

• Room- an enclosed space

• Zone- a space having similar operating characteristics

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Heat Gain • Space Heat gain

– The instantaneous rate at which heat enters into , out of, or generated within a space. The components are:

• Sensible gain• Latent gain

Heat gains Convective (%)

Radiant (%)

Solar radiation with internal shading

42 58

Fluorescent lights

50 50

People 67 33

External wall 40 60

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Heat Gain

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Cooling Load

• Space Cooling load– The rate at which heat must be removed from a

space to maintain air temperature and humidity at the design values

• Cooling load differs from the heat gain due to– delay effect of conversion of radiation energy to

heat– Thermal storage lag

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Heat Gain = Cooling Load

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Heat Gain = Cooling LoadThermal storage and Construction Type

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Time of the Day: Solar Radiation

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Time-delay Effect: Example Lighting

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Extraction Rate

• Space Heat extraction rate – The actual heat removal rate by the cooling

equipment from the space – The heat extraction rate is equal to cooling load

when the space conditions are constant which is rarely true.

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The principal terms of heat Gains/Losses are indicated below.

(Source: ASHRAE Handbook Fundamentals 2005)

Heat Balance

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Coil Load

• Cooling coil load– The rate at which energy is removed at the cooling

coil– Sum of:

• Space cooling load (sensible + latent)• Supply system heat gain (fan + supply air duct)• Return system heat gain (return air duct)• Load due to outdoor ventilation rates (or ventilation

load)

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External Loads

1. Heat gains from Walls and roofs– sensible

2. Solar gains through fenestrations– Sensible

3. Outdoor air– Sensible & latent

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Internal Loads

1. People– Sensible & latent

2. Lights– sensible

3. Appliances– Sensible & latent

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Total Cooling Load

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Cooling Load Components

• Space cooling load– Sizing of supply air flow rate, ducts, terminals and

diffusers– It is a component of coil load– Bypassed infiltration is a space cooling load

• Cooling coil load– Sizing of cooling coil and refrigeration system– Ventilation load is a coil load

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Refrigeration Load

• The capacity of the refrigeration system to produce the required coil load.

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Profiles of Offshore Systems Cooling Loads

Components % Load LQ (L)

%LoadLQ (U)

%Load CCR

%LoadSG/MCC

Solar Transmission 3 4 7 4

Occupants 3 3 3 0

Lights 5 5 8 4

Equipment 10 1 29 21

Outdoor air bypassed 7 8 5 6

Outdoor air not bypassed

72 79 48 64

Total 100 100 100 100

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Heat Load Components

Outdoor air & Electrical Equipment loads (77-85% )

People: 3%

Lighting: 4-8%

Solar Transmission: 3-7%

Infiltration : 5-8%

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Calculation Methods

1. Rule of thumb method– Least accurate– eg 100 btu/ft2 for a space

2. Static analysis (Room temperature is constant)– CLTD/CLF method

3. Dynamic analysis– Computer modeling

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CLTD/CLF Method

• Cooling load is made up of – Radiation and conduction heat gain– Convection heat gain

• Convective gain is instantaneous– No delay– Heat gain equals cooling load

• Conductive and radiation heat gains are not instantaneous– Thermal delay – Heat gain is not equal to cooling load– Use CLTD & CLF factors

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CLTD/CLF Method (ASHRAE 1989)

Cooling load due to solar & internal heat gains• Glazing (sensible only)

– Radiation & conduction– Convection (instantaneous)

• Opaque surface ( wall, floor, roof) load (sensible only)– Conduction– Convection (instantaneous)

• Internal loads (sensible & latent)– Radiation & conduction– Convection (instantaneous)

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Cooling Load Temperature Difference CLTD

Compare Q transmission = UA (T o – T i )

Q transmission = UA (CLTD)• CLTD is theoretical temperature difference defined

for each wall/roof to give the same heat load for exposed surfaces to account for the combined effects of radiation, conductive storage, etc – It is affected by orientation, time , latitude, etc– Data published by ASHRAE

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Cooling Load Factor (CLF)

• This factor applies to radiation heat gain• If radiation is constant, cooling load = radiative

gain• If radiation heat is periodical, than

Q t = Q daily max (CLF)

CLF accounts for the delay before radiative gains becomes a cooling load

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Glazing

• Q = A (SC) (SHGF) (CLF)A= glass areaSC= shading coefficientSHGF= solar heat gain factor,

tabulated by ASHRAECLF= cooling load factor, tabulated

by ASHRAE• Q = U x A x CLTD

U= surface U-factorA= surface areaCLTD= cooling load temperature

difference

transmitted

absorbed

reflected

Solar ray

glass

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Opaque Surfaces

• Q 2 = UA (CLTD)U= surface U-factorA= surface areaCLTD= cooling load temperature difference

• Tabulated or chart values for CLTD can be referred

• Offshore enclosure– Light weight– Metal frame with insulation – Group G wall with U-value about 0.5-1.0 W/m2 K

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CLTD for Sunlit Wall Group G

Source: ASHRAE Fundamental

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Opaque Surface Calculations

• Use Table for wall CLTD• Use Table for roof CLTD

– Select wall/roof type– Look up uncorrected CLTD– Correct CLTDCLTD c=(CLTD+LM)+ (25.5-t r) + (t m-29.4)

• LM= latitude /month correction (Table )• T r = indoor temperature (22C)

• T m= average temperature on the design day = (35+22)/2 = 28.5 C

Eg. If CLTD=40 C, LM=-1.7 (west face)CLTD c= (40-1.7) + (25.5-22)+ (28.5-29.4) = 40.9 C

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Types of Internal Load

• Internal loads are– People– Lights– Equipment or appliances

• Consist of convective and radiant components– Light (mostly radiant)– Electrical heat (radiant and convective)– People (most convective)

• Time-delay effect due to thermal storage

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Internal Load- Lighting Area Light Power   Density W/m2Office 25Corridor 10Sleeping 10CCR 25MCC/SG 25Kitchen 25Recreation 20

•Heat gain (lighting)= 1.2 x total wattage x CLFOr based on light power density ranging from 10-25 W/m2(average density, say=20 W/m2)•Where light is continuously on, CLF=1

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Internal Loads- People

• Q people-s = No x sensible heat gain/p x CLF

• Q people-L = No x latent heat gain/p

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Internal Load – Equipment Heat

• Cooling of electrical equipment in MCC/SG is an important function of HVAC system offshore. The components include:

• Transformers• Motors• Medium/high voltage switchgears• Cables & trays• Motor starters• Inverters• Battery chargers• Circuit breakers• Unit panel board etc

• Heat dissipation from these equipments are mainly based data published by the manufacturers

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Typical Outdoor & Indoor Design Conditions Used Here

Conditions Dry-bulb temperature (C)

% RH Moisture content, kg/kg

Outdoor air 35 70 0.025

Indoor air 22 55 0.009

Difference 13 0.016

ASHRAE fundamental Handbook published data, at 0.4%, 1% and 2% design level. At 0.4% design level, Miri has only 35h (out of 8760 h a year) at 32.2 DB & 26.3 WB or higher

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Infiltration Air is Cooling Load

• Load due to Ventilation air into the space Sensible load, (W) = mass flow rate x specific heat x (∆T)= 1.23 x l/s x (To – T i) or (1.08 x cfm x ∆T)Where To = Outside temperature, C Ti = indoor air temperature, C

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Ventilation Cooling Load

Ventilation latent load, (W)= mass flow rate x latent heat of vaporization x

(humidity difference)= 3010 x l/s x (∆ẁ) or (4840 x cfm x ∆ẁ)

Where ∆ẁ = Inside-outside humidity ratio

difference of air ( kg/kg)

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Total Cooling Load

• This is also call the Grand total load• Sum of

– Space heat gain – System heat gain

– load due to outdoor air supplied through the air handling unit

• Air bypassed the coil• Air not bypassed the coil

Room Total Load

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System Heat Gain

• These are sometimes external to the air conditioned space

• HVAC equipment also contributes to heat gain – Fan heat gain– Duct heat gain

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Bypass Factor

Bypass factor is an important coil characteristic on moisture removal performance .

It’s value depends on: • Number of rows/fins per inch• Velocity of air

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Bypass Factor of the coil

• When air streams across the cooling, portion of air may not come into contact with the coil surface

• BPF = un-contacted air flow total flow

BPF is normally selected at 0.1 for offshore cooling and dehumidification.

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Typical Coil Bypass Factor

Row Deep 14 fins/inch

Face velocity=

2 m/s

2.5 m/s 3 m/s

1 0.52 0.56 0.59

2 0.274 0.31 0.35

4 0.076 0.10 0.12

6 0.022 0.03 0.04

Source: Refrigeration and Air Conditioning by CP Arora

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Effect of Bypass Factor on Ventilation Load

• Coil load due to outdoor airSH= (OASH)(1-BPF)LH= (OALH)(1-BPF)

• Effective room load ERSH=RSH+(OASH)(BPF)ERLH=RLH + (OALH)(BPF)

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Cooling Load Classroom Exercise

• Estimate the cooling load of a portal cabin shown here:

• Assuming that– Outdoor condition is 35C,

70% RH– Indoor condition is 22C , 55

% RH– U-factor=0.5 W/m2 K– Occupied by 2 persons– Electrical equipment heat is

3 kW– 100l/s leakage due to

pressurization

PlatformLower Deck

4 x 4 x 3 h

N

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Cooling Load CalculationsItems Procedures

Transmission- sensibleWall- West sideWall- East sideWall – North Wall- SouthRoofFloorTotal (T1)

Q = UA (CLTD)

Internal load- sensible PeopleEquipmentLightTotal (T2)Safety Factor (5% of T1+ T2)Fan heat & supply Duct Gain (7 % of T1+T2)RSH (Total of the above)

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Coil Load CalculationsItems Procedures

Room Latent Heat (RLH)People

Room Total HeatRSH + RLH

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Cooling Load CalculationsItems Procedures

Design conditions Outdoor 35C, 70% RHIndoor 22C, 55 RH

Ventilation- sensibleBypass air (0.1 bypass factor)Sensible heat of bypass air

10% x outdoor air

Ventilation - LatentLatent heat of bypass air

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Cooling Load CalculationsItems ProceduresDesign conditions Outdoor 35C, 70% RH

Indoor 22C, 55 RH

ERSHRSHSensible heat of air bypassEffective Room Sensible Heat

ERLHPeopleLatent heat of air bypassEffective Room Latent Heat

Effective Room Total Heat (ERTH)ERSH+ESLH

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Coil Load CalculationItems ProceduresDesign conditions Outdoor 35C, 70% RH

Indoor 22C, 55 RH

Coil Load – SensibleEffective Room Sensible HeatSH of Outdoor air not bypassedTotal (Coil Sensible heat)

Coil Load – LatentEffective Room Latent HeatLH of Outdoor air not bypassedTotal (Coil latent heat)

Total coil load (GTH)

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Sensible Heat Factor (SHF)

• Ratio of sensible to total heat – SHF = Sensible heat/ total heat

= SH/ (SH + LH)A low value of SHF indicates a high latent heat load,

which is common in humid climate.• In the above example,

– Calculate the SHF of the room (RSHF)– Calculate the effective room sensible heat factor (ESHF)– Calculate the SHF of the coil (GSHF)

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Selection of Air Conditioning Apparatus

• The necessary data required are:– GTH ( Grand total heat load)– Dehumidified air quantity– Apparatus dew point

These determine the size of the apparatus and refrigerant temperature.

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Sensible Heat Factor (SHF)SHF

RSHF

ESHF

GSHF


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