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Static and Dynamic Optimization of Radiant Cooling Systems SinBerBEST Annual Meeting Singapore January 9, 2013 Leslie Norford ([email protected]) Tea Zakula ([email protected])
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Page 1: Static and Dynamic Optimization of Radiant Cooling Systemssinberbest.berkeley.edu/sites/default/files/Static+and... · 2020. 1. 6. · Zakula T., Gayeski N., Armstrong P. and Norford

Static and Dynamic Optimization

of Radiant Cooling Systems

SinBerBEST Annual Meeting

Singapore

January 9, 2013

Leslie Norford ([email protected])

Tea Zakula ([email protected])

Page 2: Static and Dynamic Optimization of Radiant Cooling Systemssinberbest.berkeley.edu/sites/default/files/Static+and... · 2020. 1. 6. · Zakula T., Gayeski N., Armstrong P. and Norford

1Source: U.S. Energy Information Administration, Annual Energy Review 2008

30 – 70% savings

in energy for cooling2

2Source: Pacific Northwest National Laboratory analysis

Low-lift cooling

technology

Commercial building electricity consumption1 Total US energy consumption

Motivation

SinBerBEST Annual Meeting, Singapore, January 2013

The role of cooling in very low energy buildings

Page 3: Static and Dynamic Optimization of Radiant Cooling Systemssinberbest.berkeley.edu/sites/default/files/Static+and... · 2020. 1. 6. · Zakula T., Gayeski N., Armstrong P. and Norford

• Radiant hydronic cooling – reduces transport energy and increases evaporating temperature

• Thermal storage – reduces condensing temperature, peak loads and daytime loads

• Variable speed drive compressor and fans – reduces flow losses and allows efficient operation at part load

• Dedicated outdoor air system – provides ventilation air and dehumidification

• Building thermal model identification – allows accurate prediction of cooling loads for pre-cooling control

• Smart building control – enables monitoring, system identification and predictive control

T

s

Tx

Tw

With conventional system

With low-lift cooling technology

Cooling cycle in T-s diagram

Low-lift cooling technology

SinBerBEST Annual Meeting, Singapore, January 2013

Page 4: Static and Dynamic Optimization of Radiant Cooling Systemssinberbest.berkeley.edu/sites/default/files/Static+and... · 2020. 1. 6. · Zakula T., Gayeski N., Armstrong P. and Norford

Control

optimization

Chiller

Passive

thermal

storage

Cooled water

Predicted optimal control Building data

Load forecast

Cool water

SinBerBEST Annual Meeting, Singapore, January 2013

Low-lift cooling technology

Page 5: Static and Dynamic Optimization of Radiant Cooling Systemssinberbest.berkeley.edu/sites/default/files/Static+and... · 2020. 1. 6. · Zakula T., Gayeski N., Armstrong P. and Norford

30 – 70 % savings in

annual energy for cooling

0

20000

40000

60000

80000

100000

120000

Houston Memphis Baltimore Los Angeles Chicago

Ch

ille

r, f

an

an

d D

OA

S

en

erg

y u

se

(kW

h/y

ea

r)

Standard performance building

(ASHRAE 90.1 - 2004)

Basecase – VAV with two-speed chiller

Low-lift cooling system

Pacific Northwest National Laboratory analysis: Office building prototype analysis for

five US climates and three envelope performances (standard, mid and high)

Armstrong et al. 2009. Efficient low-lift cooling with radiant distribution, thermal storage and variable-

speed chiller controls – Parts I and II.

Katipamula et al. 2010. Cost-effective integration of efficient low-lift baseload cooling equipment.

SinBerBEST Annual Meeting, Singapore, January 2013

Low-lift cooling technology

Page 6: Static and Dynamic Optimization of Radiant Cooling Systemssinberbest.berkeley.edu/sites/default/files/Static+and... · 2020. 1. 6. · Zakula T., Gayeski N., Armstrong P. and Norford

Experimental work

SinBerBEST Annual Meeting, Singapore, January 2013

Nick Gayeski, PhD Thesis, 2010

Page 7: Static and Dynamic Optimization of Radiant Cooling Systemssinberbest.berkeley.edu/sites/default/files/Static+and... · 2020. 1. 6. · Zakula T., Gayeski N., Armstrong P. and Norford

Experimental work

SinBerBEST Annual Meeting, Singapore, January 2013

LLC energy savings relative to split-system (for Atlanta, subject to standard office loads)

Page 8: Static and Dynamic Optimization of Radiant Cooling Systemssinberbest.berkeley.edu/sites/default/files/Static+and... · 2020. 1. 6. · Zakula T., Gayeski N., Armstrong P. and Norford

Chiller

Model predictive control

Building model

Heat pump model

SinBerBEST Annual Meeting, Singapore, January 2013

Computer simulation

Page 9: Static and Dynamic Optimization of Radiant Cooling Systemssinberbest.berkeley.edu/sites/default/files/Static+and... · 2020. 1. 6. · Zakula T., Gayeski N., Armstrong P. and Norford

186

Appendix B. Thermal model identification testing B.1 Thermal test chamber components

B.1.1 Radiant concrete floor The layout of the Warmboard radiant subfloor, with grooves for pex pipe, is shown at right. The groove spacing is 12 inches. Six parallel water loops were installed, running down the length of the floor and back from the system manifold. The pressure drop per unit length of PEX is 0.016 psi/foot-pipe at 1 GPM for 1/2" PEX. The total pressure drop in the system is less than 1 foot of water column at the constant flow rate of 2.1 GPM, with roughly 0.35 GPM per loop. The PEX was installed in the Warmboard grooves and three layers of concrete pavers were installed over the top as shown in the picture below right. The concrete pavers have typical dimensions of eight inches by 16 inches by 1.5 inches, weighing 5.3 pounds. A picture of the radiant system manifold is shown below left.

Tadj = 23 oC

Tx

TEST

ROOM CLIMATE

ROOM

3.6

6 m

5.18 m 3.45 m

TRNSYS model of the experimental room

Inputs

Internal loads

Water flow rate

Water supply temperature

Air flow rate

Supply air temperature

Supply air humidity

Cooling rate

Heating rate

Outputs

Zone temperature

Operative temperature

Water return temperature

Floor temperature

Real TABS construction

TRNSYS TABS construction

BEARS Workshop, Singapore, January 2013

Building model

Page 10: Static and Dynamic Optimization of Radiant Cooling Systemssinberbest.berkeley.edu/sites/default/files/Static+and... · 2020. 1. 6. · Zakula T., Gayeski N., Armstrong P. and Norford

Transfer function model of the experimental room

Coefficients are found by linear regression to TRNSYS data.

Model proposed by Armstrong et al. (2009)

For zone, operative and floor temperature:

For water return temperature:

SinBerBEST Annual Meeting, Singapore, January 2013

Building model

Tw,out = f kTw,out

k +k=1

n

å gkTfloork +

k=0

n

å hkQck

k=0

n

å

T = akT k +k=1

n

å bkTadjk +

k=0

n

å ckTxk

k=0

n

å + dkQloadk +

k=0

n

å ekQck

k=0

n

å

Page 11: Static and Dynamic Optimization of Radiant Cooling Systemssinberbest.berkeley.edu/sites/default/files/Static+and... · 2020. 1. 6. · Zakula T., Gayeski N., Armstrong P. and Norford

Validation for TRNSYS model Phoenix Atlanta

TRNSYS

Measurements* * N. Gayeski

INPUTS

Tx … climate room temperature

Tw,in … supply water temperature

mw … water flow rate

Qinternal … internal load

OUTPUTS

Tz … zone temperature

Tf … floor temperature

Tw,return … water return temperature 0 100 200 300

15

20

25

30

Time step

Tz (

oC

)

0 100 200 30015

20

25

30

Time step

Tz (

oC

)

Building model

SinBerBEST Annual Meeting, Singapore, January 2013

Validation for transfer function model

0 100 200 30015

20

25

30

Time step

Tz (

oC

)

0 100 200 30015

20

25

30

Time step

Tz (

oC

)

Transfer function

TRNSYS

Page 12: Static and Dynamic Optimization of Radiant Cooling Systemssinberbest.berkeley.edu/sites/default/files/Static+and... · 2020. 1. 6. · Zakula T., Gayeski N., Armstrong P. and Norford

Model flowchart

Zakula T., Gayeski N., Armstrong P. and Norford L . 2011. Variable-speed Heat Pump Model for a Wide

Range of Cooling Conditions and Loads. HVAC&R Research 17(5).

Heat pump model

NO

T

s

1

2

3

Is hliq_as = hliq and Pcomp_out_as = Pcomp_out?

Calculate Coefficient of Performance (COP)

YES

Call evaporator model (1)

Call compressor model (2)

Call condenser model (3)

Assume hliq_as and Pcomp_out_as

hliq

Pcomp_out

SinBerBEST Annual Meeting, Singapore, January 2013

COP =Qe

Ecomp +Eevap, fan +Econd, fan

Page 13: Static and Dynamic Optimization of Radiant Cooling Systemssinberbest.berkeley.edu/sites/default/files/Static+and... · 2020. 1. 6. · Zakula T., Gayeski N., Armstrong P. and Norford

Given: Qe = 2.0 kW

Tota

l pow

er

(W)

Vz(m3/s)

Vz(m3/s)

Vz(m3/s)

Vz(m3/s)

Vx(m3/s)

Vx(m3/s)

Vx(m

3/s)

Tota

l pow

er

(W)

Tota

l pow

er

(W)

T

ota

l pow

er

(W)

Finding the optimal evaporator (Vz opt) and condenser (Vx opt) air flows for minimum power

consumption if cooling rate, room temperature and outside temperature are given.

Given: Qe = 2.4 kW

Given: Qe = 2.8 kW Given: Qe = 3.2 kW

Vx(m3/s)

Heat pump static optimization

Heat pump model

SinBerBEST Annual Meeting, Singapore, January 2013

Page 14: Static and Dynamic Optimization of Radiant Cooling Systemssinberbest.berkeley.edu/sites/default/files/Static+and... · 2020. 1. 6. · Zakula T., Gayeski N., Armstrong P. and Norford

Power consumption Optimal parameters

The results of the heat pump optimization for a range of cooling conditions.

Heat pump

Toutside = 30 oC

Tzone = 30 oC

Tzone = 26 oC

Tzone = 22 oC

Tzone = 18 oC

0 0.5 10

0.2

0.4

0.6

Qe/Q

e,max

Vz (

m3/s

)

0 0.5 10

0.2

0.4

0.6

Qe/Q

e,max

Vo (

m3/s

)

0 0.5 10

20

40

60

80

Qe/Q

e,max

f (H

z)

0 0.5 10

2

4

6

8

Qe/Q

e,max

dT

su

bco

olin

g (

K)

0 0.5 10

0.1

0.2

0.3

0.4

Qe/Q

e,max

1/C

OP

SinBerBEST Annual Meeting, Singapore, January 2013

Page 15: Static and Dynamic Optimization of Radiant Cooling Systemssinberbest.berkeley.edu/sites/default/files/Static+and... · 2020. 1. 6. · Zakula T., Gayeski N., Armstrong P. and Norford

Vz_max = 0.15 m3/s

Vo_max = 0.77 m3/s

For non-optimized case:

Maximum airflows for Mr. Slim

SinBerBEST Annual Meeting, Singapore, January 2013

Heat pump

Current models have fixed evaporator and variable

condenser fan speeds. Note that the evaporator fan

speed is in the lower portion of the optimal range

because current equipment must remove latent and

sensible heat whereas the LLC heat pump removes

only sensible heat. In current models, the condenser

fan speed is varied and it is important to do so.

Page 16: Static and Dynamic Optimization of Radiant Cooling Systemssinberbest.berkeley.edu/sites/default/files/Static+and... · 2020. 1. 6. · Zakula T., Gayeski N., Armstrong P. and Norford

SinBerBEST Annual Meeting, Singapore, January 2013

COPrelative_difference

=COP

opt _sub- COP

zero_sub

COPopt _sub

*100

Toutside = 30 oC

Tzone = 30 oC

Tzone = 26 oC

Tzone = 22 oC

Tzone = 18 oC

-

Difference in COP for

optimal versus zero subcooling case

0 0.5 10

0.5

1

1.5

2

2.5

Qe/Q

e,max

CO

P r

ela

tive d

iffe

ren

ce

(%

)

0 0.5 10

20

40

60

Qe/Q

e,max

CO

P r

ela

tive d

iffe

ren

ce

(%

)

Difference in COP for

optimal versus fixed airflow case

COPrelative_difference

=COP

opt _airflow- COP

fixed _airflows

COPopt _airflow

*100

Optimized versus non-optimized heat pump

Heat pump model

Page 17: Static and Dynamic Optimization of Radiant Cooling Systemssinberbest.berkeley.edu/sites/default/files/Static+and... · 2020. 1. 6. · Zakula T., Gayeski N., Armstrong P. and Norford

Heat pump performance maps

Heat pump model

Economizer vs. compressor running

Tx = 15 oC

0 0.5 10

0.1

0.2

0.3

0.4

Qe/Q

e,max1/C

OP

0 0.5 10

0.1

0.2

0.3

0.4

Qe/Q

e,max

1/C

OP

Tx = 30 oC

Tz = 30 oC

Tz = 26 oC

Tz= 22 oC

Tz = 18 oC

Compressor running

Zakula T., Armstrong P. and Norford L. 2012. Optimal Coordination of Compressor, Fan and Pump Speeds Over a Wide

Range of Loads and Conditions. HVAC&R Research 18(06)

SinBerBEST Annual Meeting, Singapore, January 2013

Page 18: Static and Dynamic Optimization of Radiant Cooling Systemssinberbest.berkeley.edu/sites/default/files/Static+and... · 2020. 1. 6. · Zakula T., Gayeski N., Armstrong P. and Norford

Model predictive control

MATLAB

Optimization variable: cooling rate Qc,1 – Qc,24

Cost function: cooling energy + temperature penalty

Building thermal response using transfer function model

TRNSYS

(Type 56)

Building thermal response

Optimal cooling rates

New building state

Optimization part

SinBerBEST Annual Meeting, Singapore, January 2013

Page 19: Static and Dynamic Optimization of Radiant Cooling Systemssinberbest.berkeley.edu/sites/default/files/Static+and... · 2020. 1. 6. · Zakula T., Gayeski N., Armstrong P. and Norford

Current work

SinBerBEST Annual Meeting, Singapore, January 2013

LLC and split-system simulation results (for one summer week in Atlanta, sensible only)

Temperature profiles for LLC

Load profiles for LLC Load profiles for split-system

Temperature profiles for split-system

Floor Operative Ambient Water return Floor Operative Ambient

Internal sensible gain

TABS cooling rate

Internal sensible gain

Split-system cooling rate

Page 20: Static and Dynamic Optimization of Radiant Cooling Systemssinberbest.berkeley.edu/sites/default/files/Static+and... · 2020. 1. 6. · Zakula T., Gayeski N., Armstrong P. and Norford

SinBerBEST Annual Meeting, Singapore, January 2013

Current work

LLC energy savings relative to split-system (for one summer week, sensible only)

Original Mr. Slim (Qmax = 3.0 kW)

Table 1A: Power consumption relative differences

20/26 20/24

24 8.8 % -49.6 %

23 25.6 % -22.0 %

22 38.3 % -1.3 %

Relative difference = (Split – LLC)/Split

Table 2P: Power consumption relative differences

20/26 20/24

24 -4.9 % -46.8%

23 9.5 % -26.7 %

22 21.2 % -10.3 %

Sized Mr. Slim (Qmax = 1.5 kW)

Table 1A: Power consumption relative differences

20/26 20/24

24 -0.9 % -61.5 %

23 16.8 % -33.1 %

22 30.2 % -11.7 %

Table 2P: Power consumption relative differences

20/26 20/24

24 -11.2 % -48.6 %

23 1.3 % -32.0 %

22 13.9 % -15.2 %

Table 1A: Power consumption relative differences

20/26 20/24

24 21.6 % -25.5 %

23 36.0 % -2.4 %

22 46.9 % 15.1 %

Table 2P: Power consumption relative differences

20/26 20/24

24 13.7 % -21.9 %

23 25.5 % - 5.2 %

22 35.1 % 8.4 %

Sized Mr. Slim and modified TABS (15 cm pipe spacing)

Atlanta Phoenix

Page 21: Static and Dynamic Optimization of Radiant Cooling Systemssinberbest.berkeley.edu/sites/default/files/Static+and... · 2020. 1. 6. · Zakula T., Gayeski N., Armstrong P. and Norford

BEARS Workshop, Singapore, January 2013

LLC energy savings relative to split-system (for 1 summer week, sensible only)

Relative difference = (Split – LLC)/Split

Table 1A: Power consumption relative differences

20/26 20/24

24 14.72 -28.56

23 28.70 -7.49

22 39.58 8.91

Sized Mr. Slim and modified TABS (15 cm pipe spacing)

Singapore

And… results for Singapore

Page 22: Static and Dynamic Optimization of Radiant Cooling Systemssinberbest.berkeley.edu/sites/default/files/Static+and... · 2020. 1. 6. · Zakula T., Gayeski N., Armstrong P. and Norford

SinBerBEST Annual Meeting, Singapore, January 2013

Proposed dehumidification options

Current work

Page 23: Static and Dynamic Optimization of Radiant Cooling Systemssinberbest.berkeley.edu/sites/default/files/Static+and... · 2020. 1. 6. · Zakula T., Gayeski N., Armstrong P. and Norford

Bidding into ancillary services market for frequency support

Case 1

Optimized cooling rate

Case 2

Constant cooling rate Case 3

Typical TABS control

Bid No bid 7 8 9 10 11 12 13 14 15 16

Case 1 3.11

Case 2 4.70 4.75 4.75 4.73 4.72 4.71 4.70 4.69 4.65 4.63 4.61

Case 3 5.92 5.92 5.81 5.76 5.73 5.70 5.75 5.77 5.72 5.73 5.72

Cooling rate Electricity consumption

Weekly energy consumption (kWh)

SinBerBEST Annual Meeting, Singapore, January 2013

Current work: estimating demand response

Page 24: Static and Dynamic Optimization of Radiant Cooling Systemssinberbest.berkeley.edu/sites/default/files/Static+and... · 2020. 1. 6. · Zakula T., Gayeski N., Armstrong P. and Norford

Future steps

Annual optimization

– VAV versus LLC system

– VAV with precooling versus LLC system

Ground-source heat pump coupling

– Annual cooling energy consumption

– Appropriate ground heat exchanger sizing

(in collaboration with Dennis Garber from

Cambridge University, UK)

Condenser

Evaporator

SinBerBEST Annual Meeting, Singapore, January 2013

TRNSYS Type 557

Vertical ground heat-exchanger

TRNSYS Type 56

Multi-zone building

Page 25: Static and Dynamic Optimization of Radiant Cooling Systemssinberbest.berkeley.edu/sites/default/files/Static+and... · 2020. 1. 6. · Zakula T., Gayeski N., Armstrong P. and Norford

Future steps

Ground-source heat pump coupling

Expected optimal cooling control: constant cooling rate

For ground coupling and Qc = constant:

In general:

Tw,return ≈ constant

Tx = Tground,return ≈ constant

COP ≈ constant

Cooling rate

Electricity consumption

Cooling rates equally spread through day and night

Good potential to bid into an ancillary service market during peak-hours

SinBerBEST Annual Meeting, Singapore, January 2013

COP=function(Tw, return, Tx, Qc, Qc.max)

Page 26: Static and Dynamic Optimization of Radiant Cooling Systemssinberbest.berkeley.edu/sites/default/files/Static+and... · 2020. 1. 6. · Zakula T., Gayeski N., Armstrong P. and Norford

Thank you

Leslie Norford ([email protected])

Tea Zakula ([email protected])


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