References

LIST OF INPUTS/ASSUMPTIONS – Eco-Efficiency Calculations (Retail)

Honeywell calculations. Full set of assumptions below.

INPUTS/ASSUMPTIONS

1.     Complete replacement of current installed stores to HFO based solution (R445A or 471A) or CO2 or propane

2. Calculation is based on Frankfurt climate conditions. For warmer locations in the EU, the increase of CO2 emissions and cost would be higher.  Reference: BinMaker Pro

BinMaker® Pro v 4.0 https://sales.gastechnology.org/100013.html, accessed on: 03/03/2023

3.     Compressor technology piston reciprocating (model details given below)

4.     EU Average energy cost, 0.15 - 0.49 €/kWhr: https://www.statista.com/statistics/1267500/eu-monthly-wholesale-electricity-price-country/

5.     Average Equipment lifetime, 10 yrs

6.     Chiller required in R290 secondary loop; COP of 6; % of operation annually, 60%

7.     Cooling load distribution:

               i.         95% of the installed refrigeration load is utilized for 15 hours (out of 24) when store is trading

              ii.         70% of the installed refrigeration load is utilized for 9 hours (out of 24) when store is not trading

8.     Evaporating temperature fixed -8oC for MT fixed -32oC for LT

9.     Condensing temperature

System

MT range

LT range

R-744

Ambient +5 K but not lower than 10 oC, for transcritical operation gas cooler exit temperature is 3K above ambient

Fixed -8 oC

R-290

Fixed 28oC since plug in cabinets are located inside a store with ~constant temperature

Fixed 28oC since plug in cabinets are located inside a store with ~constant temperature

R-455A and R-471A

Ambient +5 K but not lower than 15 oC

Ambient +5 K but not lower than 15 oC

10.  Temperature difference for cascade (R455A/R471A) and secondary heat exchanger (R290), 5K

11.  Leak Rates

Refrigerant

Leak rate

R-744

20% since it is a high-pressure fluid

R-290

2% since it works in hermetic system in plug in cabinets

R-455A

10% average leak rate in EU for R-404A like fluids in centralized/semi centralized systems

R-471A

5% since it is a low-pressure fluid

12.  Estimated average charge sizes each type of store

 

Supermarket

Hypermarket

Small Supermarket

Convenience Store

Charge, kg

300

1200

60

30

Avg Store Size, m2

1000

6500

500

200

13.  Estimate Medium Temperature (MT) and Low Temperature (LT) capacities for different stores sizes

store size

Charge

# of stores

MT cap

LT cap

(sqm)

(kg)

(-)

(kW)

(kW)

200

30

126,425

10

2

500

60

46382

24

5

1000

300

37111

130

25

6500

1200

7975

420

80

14.  Refrigerant Used

Store Type

HFO based Solution

Non-HFO Solution

 

LT

MT

MT

LT

Supermarket

455A

471A

CO2

Hypermarket

455A

471A

CO2

Small Supermarket

455A

Propane

Convenience Store

455A

Propane

15.  CO2 system; optimal high side pressure – Sawalha (2008); energy improvement for parallel compressor plus ejector cycle, 10%

Sawalha, S., 2008. Theoretical evaluation of trans-critical CO2 systems in supermarket refrigeration. Part I: Modeling, simulation and optimization of two system solutions. international journal of refrigeration, 31(3), pp.516-524.

16.  Compressor Curves

C-store, small supermarket

R-290 MT, LT

 

C0

C1

C2

C3

C4

C5

C6

C7

C8

C9

Q (W)

3830.431

135.7552

-11.5907

1.608565

-0.67242

-0.6217

0.007699

-0.00596

-0.00378

0.004312

P (W)

450.831

-4.4169

1.159554

-0.179

-0.03595

0.193776

0.002794

0.004547

0.006708

-0.00125

m (kg/h)

33.03167

1.063232

0.170961

0.01102

0.002233

-0.00682

5.59E-05

2.57E-05

-3.7E-05

3.91E-05

R-455A MT

 

C0

C1

C2

C3

C4

C5

C6

C7

C8

C9

Q (W)

46494.4

1666.283

-463.402

21.40508

-13.111

-0.60432

0.10361

-0.10012

0.001673

0.010188

P (W)

1708.66

-136.749

193.9651

-3.97984

6.007311

-1.00466

-0.02825

0.042991

-0.0159

-0.00064

m (kg/h)

777.5583

26.17091

-2.39618

0.322762

-0.03932

-0.02346

0.00166

2.42E-05

-0.00015

8.77E-05

R-455A LT

 

C0

C1

C2

C3

C4

C5

C6

C7

C8

C9

Q (W)

46118.8

1653.827

-462.842

21.25007

-13.1147

-0.59807

0.102769

-0.10043

0.001568

0.010136

P (W)

1713.917

-136.435

193.7564

-3.976

6.005689

-1.00476

-0.02824

0.043008

-0.01592

-0.00065

m (kg/h)

776.4534

26.13952

-2.39591

0.322397

-0.03935

-0.02349

0.001658

2.37E-05

-0.00015

8.77E-05

Supermarket, hypermarket

R-744 MT

 

C0

C1

C2

C3

C4

C5

C6

C7

C8

C9

Q (W)

41041.31

1391.413

-839.155

19.17435

-11.468

20.90983

-0.04154

-0.39029

-0.37074

-0.55557

P (W)

1524.987

-112.27

123.7113

-1.69211

-0.15058

1.521209

0.003621

-0.03429

0.061404

-0.01464

m (kg/h)

585.6053

21.0829

-3.04977

0.337399

-0.08417

-0.00156

0.003276

-0.00116

-0.00012

-8.2E-05

R-744 LT

 

C0

C1

C2

C3

C4

C5

C6

C7

C8

C9

Q (W)

7707.002

250.846

-110.606

2.474551

-2.34275

-0.40303

0.004338

-0.00705

-0.01794

0.008425

P (W)

182.0296

-41.9046

41.51396

-0.94743

1.182989

-0.1921

-0.00552

0.0098

-0.00442

0.000586

m (kg/h)

111.4106

3.641336

-0.52384

0.036707

-7.3E-05

-0.00886

7.24E-05

0.000191

-0.00031

0.000141

R-471A MT (proxy by R-1234ze compressor)

 

C0

C1

C2

C3

C4

C5

C6

C7

C8

C9

Q (W)

179484.6

6800.371

-1963.63

105.8457

-45.2238

19.73852

0.663551

-0.62708

-0.03464

-0.21983

P (W)

2630.159

81.5654

1103.599

12.61078

2.778549

-17.0484

-0.09029

-0.2241

0.020984

0.176253

m (kg/h)

3095.229

90.64566

2.232313

0.930813

1.024726

0.095434

0.006572

0.013108

-0.01089

-0.00349

R-455A LT

 

C0

C1

C2

C3

C4

C5

C6

C7

C8

C9

Q (W)

46118.8

1653.827

-462.842

21.25007

-13.1147

-0.59807

0.102769

-0.10043

0.001568

0.010136

P (W)

1713.917

-136.435

193.7564

-3.976

6.005689

-1.00476

-0.02824

0.043008

-0.01592

-0.00065

m (kg/h)

776.4534

26.13952

-2.39591

0.322397

-0.03935

-0.02349

0.001658

2.37E-05

-0.00015

8.77E-05

17.  Factor of 1.1 is used across all refrigerants to correct the offset of compressor suction temperature (coefficients vs actual suction) 

18.  GWP values of AR4 are adopted

19.  Average Carbon intensity of electricity for entire EU = 0.43 kg CO2/ kWh

20.  Carbon Intensity for individual Countries: https://app.electricitymaps.com/zone/DE?utm_source=linkedin&utm_medium=social&utm_campaign=israelandsa

Country

Carbon Intensity over past 12 months

 

kg CO2eq / KWh*

France

0.103

Germany

0.504

Spain

0.185

Italy

0.4

Czechia

0.536

Poland

0.768

Additional Comments

1.     R290 plug-in cabinets heat dissipation into the store (compressor) not included which in real store must be compensated by air conditioning.

2.      If defrost is considered it’s an additional energy consumption.

3.     For R744, leak rate of 20% is very conservative, more realistic values in warm ambient are close to 40%.

References- Key Benefits of HFO Solutions

1. Based on thermodynamic analysis with following conditions: Evaporation Temperature of 20F for R404A, R471A and CO2 (2) Evaporator Superheat of 9F for R404A, R471A and CO2 (3) Suction Superheat of 18F for R404A, R471A and CO2 (4) Compressor Isentropic Efficiency of 65% and Volumetric as 100% for R404A, R471A and CO2 (5) Ambient Temperature of 85F; Condensing Temperature for R404A and R471A is 105F (20F TD; 0F Subcooling) and for CO2 Gas Cooler Outlet Temperature is 89F (4F Approach Temperature) (6) Gas Cooler Pressure for CO2 is 83 bar which is 1204 psia  (7) Capacities R404A, R471A and CO2 are matched

2. https://www.fluorocarbons.org/applications/insulation-foam-blowing-agent

3. https://energy.ec.europa.eu/topics/energy-efficiency/heating-and-cooling_en