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Appendix A
ISO-1 Cascade system
Compressors
High-temperature stage: 5 Bitzer 6H-25.2Y. |
Refrigerant: R404A |
Low-temperature stage: 3 Bitzer 2EC-4.2K. |
Refrigerant: R744 (CO2) |
Efficiencies
Bitzer 6H-25.2Y with R404A
Volumetric efficiency
Etav=(avA+bvA*Tc)+(avB+bvB*Tc)*Phi
with Tc: Condensation temperature in °C and Phi as the pressure ratio Pc/P0
The constants have been determined as shown below:
avA = 1.008248481 |
bvA= -0.001394396505 |
avB= - 0.03589897282 |
bvB = 0.000294799292 |
Isentropic efficiency
EtaIs = (aisA+bisA*Tc)+(aisB+bisB*Tc)*Phi+ (aisC+bisC*Tc) *Phi2 with Tc: Condensation temperature in C and Phi as the pressure ratio Pc/P0
The constants have been determined as shown below:
aisA = 0.5002052878 |
bisA = 0.002410386475 |
aisB = 0.0406335594 |
bisB = -0.0005551792135 |
aisC = -0.002661829944 |
bisC = 4.162626219E-0 |
With the determined constants, Bitzer's data are reproduced better than 1.2% for the refrigeration capacity and better than 3.7 % for the power consumption of the compressor for
-40°C<T0<-5°C and 30°C<Tc<50°C.
Within the actual temperature range, the data for the refrigeration capacity are reproduced better than 0.2% and the data for the power consumption of the compressor are reproduced
better than 2.3%.
Bitzer 2EC-4.2K with R744
Volumetric efficiency
EtaV=ac(Tc)*(Phi-1.235)+0.9247
with Tc: Condensation temperature in C and Phi as the pressure ratio Pc/P0
The constants have been determined as shown below:
Ac=-0.111873903+0.0001737681367*Tc- 6.613978021E-5*Tc*Tc
Isentropic efficiency
EtaIs = A(T) + B(T)*Phi + C(T)*Phi*Phi
A = aA+bA*T+cA*T*T
aA = 0.7309844503 bA = 0.008370719891
cA = -0.0005993144145
B = aB+bB*T+cB*T*T
aB = -0.06575970538 bB = -0.002804107695
cB = 0.0005618800195
C = aC+bC*T+cC*T*T
aC = -0.001403356293 bC = -0.0004784304082
cC = -0.0001543907826
With the determined constants, Bitzer's data are reproduced better than 0.2% for the refrigeration capacity and better than 0.6 % for the power consumption of the compressor for
-50°C<T0<-30°C and -20°C<Tc<-5°C.
Table A1. Comparison between data and fit for Bitzer 6H-25.2Y
T0 |
Tc |
Qdata |
Wdata |
Qfit |
Wfit |
dQ |
dW |
ηv |
ηis |
C |
C |
W |
W |
W |
W |
% |
% |
- |
- |
-5 |
30 |
87900 |
23500 |
87867 |
22949 |
0.0 |
2.3 |
0.892 |
0.628 |
-10 |
30 |
72500 |
22150 |
72485 |
22159 |
0.0 |
-0.0 |
0.878 |
0.636 |
-15 |
30 |
59300 |
20560 |
59209 |
20833 |
0.2 |
-1.3 |
0.861 |
0.644 |
-20 |
30 |
47800 |
18830 |
47789 |
19106 |
0.0 |
-1.5 |
0.840 |
0.654 |
-25 |
30 |
38000 |
16940 |
38008 |
17105 |
-0.0 |
-1.0 |
0.813 |
0.663 |
-30 |
30 |
29700 |
14950 |
29674 |
14952 |
0.1 |
-0.0 |
0.779 |
0.671 |
-35 |
30 |
22650 |
12890 |
22618 |
12762 |
0.1 |
1.0 |
0.735 |
0.674 |
-40 |
30 |
16740 |
10810 |
16687 |
10647 |
0.3 |
1.5 |
0.678 |
0.668 |
-45 |
30 |
11850 |
8750 |
11742 |
8717 |
0.9 |
0.4 |
0.603 |
0.640 |
-5 |
40 |
74700 |
27200 |
74854 |
26831 |
-0.2 |
1.4 |
0.867 |
0.649 |
-10 |
40 |
61600 |
25180 |
61649 |
25189 |
-0.1 |
-0.0 |
0.851 |
0.656 |
-15 |
40 |
50200 |
23000 |
50228 |
23149 |
-0.1 |
-0.6 |
0.832 |
0.664 |
-20 |
40 |
40400 |
20680 |
40386 |
20830 |
0.0 |
-0.7 |
0.808 |
0.671 |
-25 |
40 |
31900 |
18280 |
31943 |
18344 |
-0.1 |
-0.3 |
0.777 |
0.678 |
-30 |
40 |
24700 |
15820 |
24740 |
15801 |
-0.2 |
0.1 |
0.738 |
0.682 |
-35 |
40 |
18590 |
13360 |
18635 |
13305 |
-0.2 |
0.4 |
0.688 |
0.679 |
-40 |
40 |
13340 |
10920 |
13499 |
10956 |
-1.2 |
-0.3 |
0.623 |
0.662 |
-45 |
40 |
9130 |
8540 |
9214 |
8857 |
-0.9 |
-3.7 |
0.537 |
0.618 |
-10 |
50 |
50500 |
27780 |
50547 |
27722 |
-0.1 |
0.2 |
0.826 |
0.673 |
-15 |
50 |
41150 |
25020 |
41103 |
25085 |
0.1 |
-0.3 |
0.805 |
0.679 |
-20 |
50 |
33000 |
22180 |
32941 |
22254 |
0.2 |
-0.3 |
0.778 |
0.685 |
-25 |
50 |
25950 |
19310 |
25924 |
19329 |
0.1 |
-0.1 |
0.744 |
0.690 |
-30 |
50 |
19920 |
16430 |
19927 |
16405 |
-0.0 |
0.2 |
0.701 |
0.692 |
-35 |
50 |
14760 |
13590 |
14836 |
13570 |
-0.5 |
0.1 |
0.645 |
0.688 |
-40 |
50 |
10390 |
10830 |
10547 |
10902 |
-1.5 |
-0.7 |
0.573 |
0.670 |
Table A2. Comparison between data and fit for Bitzer 2EC-4.2K
T0 |
Tc |
Qdata |
Wdata |
Qfit |
Wfit |
dQ |
dW |
ηv |
ηis |
C |
C |
W |
W |
W |
W |
% |
% |
- |
- |
-30 |
-5 |
22877 |
5260 |
22866 |
5260 |
0.0 |
0.0 |
0.822 |
0.581 |
-35 |
-5 |
18166 |
5430 |
18172 |
5427 |
-0.0 |
0.0 |
0.776 |
0.560 |
-40 |
-5 |
14065 |
5370 |
14063 |
5380 |
0.0 |
-0.2 |
0.719 |
0.534 |
-45 |
-5 |
10487 |
5140 |
10484 |
5144 |
0.0 |
-0.1 |
0.647 |
0.498 |
-30 |
-10 |
24674 |
4380 |
24645 |
4373 |
0.1 |
0.2 |
0.800 |
0.580 |
-35 |
-10 |
19753 |
4650 |
19723 |
4652 |
0.2 |
-0.0 |
0.808 |
0.570 |
-40 |
-10 |
15426 |
4710 |
15415 |
4702 |
0.1 |
0.2 |
0.756 |
0.552 |
-45 |
-10 |
11674 |
4610 |
11662 |
4579 |
0.1 |
0.7 |
0.691 |
0.524 |
-50 |
-10 |
8428 |
4370 |
8412 |
4344 |
0.2 |
0.6 |
0.607 |
0.478 |
-30 |
-15 |
26437 |
3540 |
26420 |
3513 |
0.1 |
0.8 |
0.877 |
0.561 |
-35 |
-15 |
21272 |
3910 |
21254 |
3931 |
0.1 |
-0.5 |
0.838 |
0.561 |
-40 |
-15 |
16752 |
4090 |
16731 |
4092 |
0.1 |
-0.1 |
0.789 |
0.554 |
-45 |
-15 |
12808 |
4100 |
12792 |
4079 |
0.1 |
0.5 |
0.728 |
0.534 |
-50 |
-15 |
9388 |
3970 |
9379 |
3993 |
0.1 |
-0.6 |
0.650 |
0.489 |
-35 |
-20 |
22807 |
3230 |
22821 |
3230 |
-0.1 |
0.0 |
0.867 |
0.532 |
-40 |
-20 |
18061 |
3500 |
18067 |
3514 |
-0.0 |
-0.4 |
0.822 |
0.539 |
-45 |
-20 |
13925 |
3600 |
13925 |
3588 |
-0.0 |
0.3 |
0.764 |
0.533 |
-50 |
-20 |
10330 |
3580 |
10338 |
3582 |
-0.1 |
-0.0 |
0.690 |
0.498 |

Figure A1. Volumetric efficiency for Bitzer 6H-25.2Y

Figure A2. Isentropic efficiency for Bitzer 6H-25.2Y

Figure A3. Volumetric efficiency for Bitzer 2EC-4.2K

Figure A4. Isentropic efficiency for Bitzer 2EC-4.2K
ISO-2 Conventional system (Parallel system).
Compressors
High-temperature stage: 16 PresTcold PL400/0062 |
Refrigerant: R404A |
Low-temperature stage: 10 PresTcold PL400/0062 |
Refrigerant: R404A |
Efficiencies
PresTcold 400/0062 with R404A
Volumetric efficiency
Etav=A+B*Phi
with Phi as the pressure ratio Pc/P0
The constants have been determined as shown below:
A = 1.02740540205
B= - 0.03579218125
Isentropic efficiency
EtaIs=(aA+bA*Tc)+(aB+bB*Tc)*Phi+(aC+bC*Tc+ cC*Tc*Tc)*Phi*Phi
with Tc: Condensation temperature in C and Phi as the pressure ratio Pc/P0
The constants have been determined as shown below:
aA=0.7164393767 |
bA=-0.001127291506 |
aB=- 0.001400215668 |
bB=0.0002732193155 |
aC=-0.0004715863813 |
bC=-3.18364179E-005 |
cC=4.11231621E-007 |
|
With the determined constants, PresTcold's data are reproduced better than 2.5% for the refrigeration capacity and better than 5.6 % for the power consumption of the compressor for
-50°C<T0<-20°C and 25°C<Tc<55°C.
Within the actual temperature range, the data for refrigeration capacity are reproduced better than 1.1% and the data for the power consumption of the compressor are reproduced
better than 1.8%.
Table A3. Comparison between data and fit for PresTcold 400/0062
T0 |
Tc |
Qdata |
Wdata |
Qfit |
Wfit |
dQ |
dW |
ηv |
ηis |
C |
C |
W |
W |
W |
W |
% |
% |
- |
- |
20 |
25 |
10790 |
3620 |
10702 |
3529 |
-0.8 |
-2.5 |
0.879 |
0.693 |
-25 |
25 |
8560 |
3290 |
8475 |
3236 |
-1.0 |
-1.7 |
0.847 |
0.690 |
-30 |
25 |
6650 |
2940 |
6579 |
2894 |
-1.1 |
-1.6 |
0.808 |
0.683 |
-35 |
25 |
5020 |
2570 |
4974 |
2523 |
-0.9 |
-1.8 |
0.756 |
0.671 |
-40 |
25 |
3660 |
2210 |
3626 |
2141 |
-0.9 |
-3.1 |
0.689 |
0.649 |
-45 |
25 |
2530 |
1840 |
2502 |
1762 |
-1.1 |
-4.2 |
0.601 |
0.610 |
-50 |
25 |
1610 |
1480 |
1574 |
1402 |
-2.3 |
-5.2 |
0.483 |
0.537 |
-20 |
30 |
9920 |
3800 |
9885 |
3779 |
-0.4 |
-0.6 |
0.858 |
0.691 |
-25 |
30 |
7820 |
3410 |
7782 |
3415 |
-0.5 |
0.1 |
0.823 |
0.687 |
-30 |
30 |
6020 |
3010 |
5991 |
3013 |
-0.5 |
0.1 |
0.777 |
0.678 |
-35 |
30 |
4500 |
2600 |
4474 |
2592 |
-0.6 |
-0.3 |
0.719 |
0.663 |
-40 |
30 |
3220 |
2190 |
3199 |
2170 |
-0.6 |
-0.9 |
0.643 |
0.634 |
-45 |
30 |
2150 |
1780 |
2136 |
1762 |
-0.6 |
-1.0 |
0.542 |
0.581 |
-50 |
30 |
1270 |
1400 |
1258 |
1382 |
-0.9 |
-1.3 |
0.408 |
0.484 |
-20 |
35 |
9040 |
3970 |
9051 |
3990 |
0.1 |
0.5 |
0.836 |
0.690 |
-25 |
35 |
7080 |
3520 |
7077 |
3558 |
-0.0 |
1.1 |
0.795 |
0.684 |
-30 |
35 |
5400 |
3060 |
5395 |
3098 |
-0.1 |
1.2 |
0.744 |
0.674 |
-35 |
35 |
3970 |
2600 |
3969 |
2629 |
-0.0 |
1.1 |
0.677 |
0.653 |
-40 |
35 |
2770 |
2140 |
2771 |
2169 |
0.0 |
1.3 |
0.591 |
0.616 |
-45 |
35 |
1780 |
1710 |
1771 |
1732 |
-0.5 |
1.3 |
0.477 |
0.547 |
-50 |
35 |
950 |
1280 |
945 |
1328 |
-0.5 |
3.7 |
0.326 |
0.421 |
-20 |
40 |
8150 |
4110 |
8202 |
4159 |
0.6 |
1.2 |
0.811 |
0.689 |
-25 |
40 |
6330 |
3600 |
6362 |
3659 |
0.5 |
1.6 |
0.765 |
0.683 |
-30 |
40 |
4770 |
3080 |
4793 |
3143 |
0.5 |
2.0 |
0.707 |
0.670 |
-35 |
40 |
3450 |
2570 |
3463 |
2627 |
0.4 |
2.2 |
0.632 |
0.644 |
-40 |
40 |
2340 |
2080 |
2343 |
2128 |
0.1 |
2.3 |
0.535 |
0.597 |
-45 |
40 |
1410 |
1600 |
1409 |
1657 |
-0.0 |
3.6 |
0.406 |
0.509 |
-20 |
45 |
7270 |
4220 |
7338 |
4279 |
0.9 |
1.4 |
0.784 |
0.690 |
-25 |
45 |
5590 |
3650 |
5639 |
3714 |
0.9 |
1.8 |
0.732 |
0.683 |
-30 |
45 |
4150 |
3080 |
4188 |
3142 |
0.9 |
2.0 |
0.667 |
0.667 |
-35 |
45 |
2940 |
2530 |
2957 |
2579 |
0.6 |
1.9 |
0.583 |
0.636 |
-40 |
45 |
1920 |
1990 |
1921 |
2037 |
0.1 |
2.4 |
0.473 |
0.577 |
-45 |
45 |
1060 |
1470 |
1057 |
1517 |
-0.3 |
3.2 |
0.329 |
0.470 |
-20 |
50 |
6380 |
4310 |
6459 |
4346 |
1.2 |
0.8 |
0.754 |
0.693 |
-25 |
50 |
4850 |
3680 |
4908 |
3716 |
1.2 |
1.0 |
0.697 |
0.685 |
-30 |
50 |
3540 |
3060 |
3583 |
3086 |
1.2 |
0.9 |
0.623 |
0.667 |
-35 |
50 |
2440 |
2450 |
2458 |
2473 |
0.7 |
0.9 |
0.529 |
0.630 |
-40 |
50 |
1510 |
1870 |
1510 |
1879 |
0.0 |
0.5 |
0.406 |
0.561 |
-20 |
55 |
5510 |
4370 |
5562 |
4350 |
1.0 |
-0.5 |
0.722 |
0.699 |
-25 |
55 |
4150 |
3680 |
4172 |
3654 |
0.5 |
-0.7 |
0.658 |
0.691 |
-30 |
55 |
2940 |
3010 |
2981 |
2967 |
1.4 |
-1.4 |
0.576 |
0.671 |
-35 |
55 |
1950 |
2350 |
1969 |
2296 |
1.0 |
-2.3 |
0.470 |
0.629 |
-40 |
55 |
1120 |
1730 |
1116 |
1633 |
-0.4 |
-5.6 |
0.333 |
0.550 |

Figure A5. Volumetric efficiency for PresTcold 400/0062

Figure A6. Isentropic efficiency for PresTcold 400/0062
ISO-3 Cascade system
Compressors
High-temperature stage: 4 Bitzer 4G-30.2Y |
Refrigerant: R404A |
Low-temperature stage: 4 Bitzer 2HC.3.2K |
Refrigerant: R744 (CO2) |
Efficiency
Bitzer 4G-30.2Y with R404A
Volumetric efficiency
Etav=(avA+bvA*Tc)+(avB+bvB*Tc)*Phi
with Tc: Condensation temperature in C and Phi as pressure ratio Pc/P0
The constants have been determined as shown below:
avA = 0.9477344953 |
bv A= 0.000261552785 |
avB= - 0.03054324206 |
bvB = 0.0001098626795 |
Isentropic efficiency
EtaIs = (aisA+bisA*Tc)+(aisB+bisB*Tc)*Phi
+(aisC+bisC*Tc) *Phi2
with Tc: Condensation temperature in C and Phi as pressure ratio Pc/P0
The constants have been determined as shown below:
aisA = 0.4011203731 |
bisA = 0.004757772635 |
aisB = 0.06439495704 |
bisB = -0.000960675304 |
aisC = - 0.005133015726 |
bisC = 8.090878455E-005 |
With the determined constants Bitzer's data are reproduced better than 1.2% for the refrigeration capacity and better than 4.2 % for the power consumption of the compressor for
-40°C<T0<-5°C and 30°C<Tc<50°C.
Within the actual temperature range, the data for the refrigeration capacity are reproduced better than 0.4% and the data for the power consumption of the compressor are reproduced
better than 0.6%.
Bitzer 2HC-3.2K with R744
Volumetric efficiency
EtaV = aC(Tc)*(Phi-1.232) +0.9280
with Tc: Condensation temperature in C and Phi as pressure ratio Pc/P0
The constants have been determined as shown below:
aC = - 0.1119778613 + 0.0001747267099*Tc
- 6.59837705E-005*Tc*Tc
Isentropic efficiency
EtaIs = A(T) + B(T)*Phi + C(T)*Phi*Phi
A = aA+bA*T+cA*T*T
aA = 0.6460083817 bA = -0.001121194203
cA = -0.0008059707318
B = aB+bB*T+cB*T*T
aB = -0.009833249381 bB = 0.002792562938
bB = 0.0006477213502
C = aC+bC*T+cC*T*T
aC = -0.0100883472 bC = -0.001219987245
cC = -0.0001574917651
With the determined constants, Bitzer's data are reproduced better than 0.4% for the refrigeration capacity and better than 0.8 % for the power consumption of the compressor for
-50°C<T0<-30/deg;C and -20/deg;C<Tc<-5°C.
Table A6. Comparison between data and fit for Bitzer 4G-30.2Y
T0 |
Tc |
Qdata |
Wdata |
Qfit |
Wfit |
dQ |
dW |
ηv |
ηis |
C |
C |
W |
W |
W |
W |
% |
% |
- |
- |
-5 |
30 |
66500 |
17810 |
66388 |
17521 |
-0.2 |
-1.6 |
0.8803 |
0.6215 |
-10 |
30 |
54900 |
16840 |
54749 |
16858 |
-0.3 |
0.1 |
0.8665 |
0.6312 |
-15 |
30 |
44900 |
15700 |
44704 |
15805 |
-0.4 |
0.7 |
0.8494 |
0.6414 |
-20 |
30 |
36250 |
14410 |
36062 |
14478 |
-0.5 |
0.5 |
0.8281 |
0.6511 |
-25 |
30 |
28800 |
13020 |
28661 |
12986 |
-0.5 |
-0.3 |
0.8012 |
0.6586 |
-30 |
30 |
22450 |
11570 |
22355 |
11441 |
-0.4 |
-1.1 |
0.7669 |
0.6605 |
-35 |
30 |
17040 |
10090 |
17016 |
9955 |
-0.1 |
-1.3 |
0.7228 |
0.6503 |
-40 |
30 |
12480 |
8610 |
12528 |
8666 |
0.4 |
0.6 |
0.6654 |
0.6158 |
-5 |
40 |
57000 |
20380 |
57187 |
20180 |
0.3 |
-1.0 |
0.8656 |
0.6596 |
-10 |
40 |
47000 |
18880 |
47024 |
18908 |
0.1 |
0.1 |
0.8486 |
0.6669 |
-15 |
40 |
38250 |
17260 |
38233 |
17359 |
-0.0 |
0.6 |
0.8276 |
0.6738 |
-20 |
40 |
30700 |
15560 |
30658 |
15634 |
-0.1 |
0.5 |
0.8013 |
0.679 |
-25 |
40 |
24200 |
13810 |
24159 |
13831 |
-0.2 |
0.2 |
0.7682 |
0.6008 |
-30 |
40 |
18610 |
12060 |
18615 |
12051 |
0.0 |
-0.1 |
0.7260 |
0.6725 |
-35 |
40 |
13860 |
10330 |
13917 |
10404 |
0.4 |
0.7 |
0.6718 |
0.6483 |
-40 |
40 |
9850 |
8680 |
9964 |
9043 |
1.2 |
4.2 |
0.6011 |
0.5924 |
-5 |
50 |
47400 |
22580 |
47284 |
22345 |
-0.2 |
-1.0 |
0.8487 |
0.6905 |
-10 |
50 |
38900 |
20600 |
38762 |
20570 |
-0.4 |
-0.1 |
0.8281 |
0.6952 |
-15 |
50 |
31500 |
18560 |
31367 |
18593 |
-0.4 |
0.2 |
0.8026 |
0.699 |
-20 |
50 |
25100 |
16500 |
24976 |
16498 |
-0.5 |
-0.0 |
0.7708 |
0.7005 |
-25 |
50 |
19580 |
14450 |
19481 |
14368 |
-0.5 |
-0.6 |
0.7307 |
0.6975 |
-30 |
50 |
14840 |
12450 |
14785 |
12287 |
-0.4 |
-1.3 |
0.6796 |
0.6856 |
-35 |
50 |
10810 |
10540 |
10798 |
10338 |
-0.1 |
-1.9 |
0.6139 |
0.6570 |
-40 |
50 |
7410 |
8760 |
7440 |
8625 |
0.4 |
-1.5 |
0.5284 |
0.5973 |
Table A7. Comparison between data and fit for Bitzer 2HC-3.2K
T0 |
Tc |
Qdata |
Wdata |
Qfit |
Wfit |
dQ |
dW |
ηv |
ηis |
C |
C |
W |
W |
W |
W |
% |
% |
- |
- |
-30 |
-5 |
13110 |
3020 |
13144 |
3031 |
-0.3 |
-0.4 |
0.8251 |
0.5793 |
-35 |
-5 |
10410 |
3110 |
10447 |
3114 |
-0.4 |
-0.1 |
0.7795 |
0.5615 |
-40 |
-5 |
8060 |
3060 |
8087 |
3082 |
-0.3 |
-0.7 |
0.7225 |
0.5358 |
-45 |
-5 |
6010 |
2950 |
6031 |
2961 |
-0.4 |
-0.4 |
0.6505 |
0.4978 |
-30 |
-10 |
14140 |
2510 |
14165 |
2515 |
-0.2 |
-0.2 |
0.8533 |
0.5799 |
-35 |
-10 |
11320 |
2660 |
11338 |
2672 |
-0.2 |
-0.5 |
0.8116 |
0.5701 |
-40 |
-10 |
8840 |
2700 |
8863 |
2700 |
-0.3 |
0.0 |
0.7595 |
0.5532 |
-45 |
-10 |
6690 |
2640 |
6708 |
2631 |
-0.3 |
0.3 |
0.6937 |
0.5247 |
-50 |
-10 |
4830 |
2500 |
4841 |
2507 |
-0.2 |
-0.3 |
0.6097 |
0.4764 |
-30 |
-15 |
15150 |
2030 |
15184 |
2014 |
-0.2 |
0.8 |
0.8800 |
0.5622 |
-35 |
-15 |
12190 |
2240 |
12217 |
2257 |
-0.2 |
-0.8 |
0.8411 |
0.5618 |
-40 |
-15 |
9600 |
2340 |
9619 |
2352 |
-0.2 |
-0.5 |
0.7926 |
0.5544 |
-45 |
-15 |
7340 |
2350 |
7356 |
2345 |
-0.2 |
0.2 |
0.7314 |
0.5341 |
-50 |
-15 |
5380 |
2270 |
5396 |
2291 |
-0.3 |
-0.9 |
0.6533 |
0.4905 |
-35 |
-20 |
13070 |
1850 |
13116 |
1857 |
-0.4 |
-0.4 |
0.8706 |
0.5322 |
-40 |
-20 |
10350 |
2010 |
10386 |
2026 |
-0.3 |
-0.8 |
0.8249 |
0.5381 |
-45 |
-20 |
7980 |
2070 |
8007 |
2069 |
-0.3 |
0.0 |
0.7672 |
0.5311 |
-50 |
-20 |
5920 |
2050 |
5947 |
2058 |
-0.4 |
-0.4 |
0.6935 |
0.4988 |

Figure A7. Volumetric efficiency for Bitzer 4G-30.2Y

Figure A8. Isentropic efficiency for Bitzer 4G-30.2Y

Figure A9. Volumetric efficiency for Bitzer 2HC-3.2K

Figure A10. Isentropic efficiency for Bitzer 2HC-3.2K
ISO-4 Conventional system (Parallel system).
Compressors
High-temperature stage: 15 Copeland Scroll ZS75K4E-TDW
Refrigerant: R404A
Low-temperature stage: 7 Copeland Scroll ZF33K4E-TDW
Refrigerant: R744 (CO2)
Efficiency
Copeland Scroll ZS75K4E-TDW with R404A
Volumetric efficiency
Etav = A0 + A1*Phi + A2*Phi2 + A3*Phi3
with Tc: Condensation temperature in C and Phi as pressure ratio Pc/P0
The constants have been determined as shown below:
A0 = B00 + B01*TC |
|
B00 = 0.8214478092 |
B01 = 0.00329997321 |
A1 = B10 + B11*TC |
|
B10 = 0.1172825484 |
B11 = -0.00207410084 |
A2 = B20 + B21*TC |
|
B20 = - 0.02282297747 |
B21 = 0.000414526908 |
A3 = B30 + B31*TC |
|
B30 = 0.001171081343 |
B31 = -2.174935134E-005 |
Isentropic efficiency
Etais = A0 + A1*Phi + A2*Phi2 + A3*Phi3 + A4*Phi4
with Tc: Condensation temperature in C and Phi as pressure ratio Pc/P0
The constants have been determined as shown below:
A0= B00 + B01*TC |
|
B00 =- 1.683291391 |
B01 = 0.03134586271 |
A1 = B10 + B11*TC |
|
B10 = + 1.856838744 |
B11 = -0.02649334438 |
A2 = B20 + B21*TC |
|
B20 = -0.548216088 |
B21 = 0.0083381712 |
A3 = B30 + B31*TC |
|
B30 = + 0.07125904599 |
B31 = -0.001146177771 |
A4 = B40 + B41*TC |
|
B40 = - 0.003465252394 |
B41 = 5.826828736E-005 |
With the determined constants Copeland's data are reproduced better than 0.3% for the refrigeration capacity and better than 1.2 % for the power consumption of the compressor for
-30°C<T0<7°C and 30°C<Tc<50°C.
Within the actual temperature range, the data for the refrigeration capacity are reproduced better than 0.2% and the data for the power consumption of the compressor are reproduced
better than 2.3%.
The calculated volumetric efficiency is, however, greater than 1 which, according to Copeland, is due to the definition of geometric volume.
Copeland Scroll ZF33K4E with R404A
Volumetric efficiency
Etav = A0 + A1*Phi + A2*Phi2
with Tc: Condensation temperature in C and Phi as pressure ratio Pc/P0
The constants have been determined as shown below:
A0 = B00 + B01*Tc |
|
B00 = 0.6982677504 |
B01 = 0.005518700035 |
A1 = B10 + B11*TC |
|
B10 = 0.1509323406 |
B11 = -0.002710157905 |
A2 = B20 + B21*TC |
|
B20 = - 0.01454138481 |
B21 = 0.0002681152023 |
Isentropic efficiency
Etais = A0 + A1*Phi + A2*Phi2 + A3Phi3
with Tc: Condensation temperature in C and Phi as
pressure ratio Pc/P0
The constants have been determined as shown below:
A0 = B00 + B01*Tc+B02*TC2 |
|
B00 = -1.080523234 |
B01 = 0.04605533767 |
B02 = - 0.0002515889379 |
|
A1 = B10 + B11*Tc+B12*TC2 |
|
B10 = 0.996803734 |
B11 = - 0.03133601376 |
B12 = 0.0002370951748 |
|
A2 = B20 + B21*Tc+B12*TC2 |
|
B20 = -0.1695294746 |
B21 =+ 0.006000855424 |
B22 = - 5.354749707E-005 |
|
A3 = B30 + B31*Tc+B32*Tc2 |
|
B30 = 0.008334185331 |
B31 = - 0.0003219284941 |
B32 = + 3.138676947E-006 |
|
With the determined constants Copeland's data are reproduced better than 2.5% for the refrigeration capacity and better than 3.2 % for the power consumption of the compressor for
-40°C<T0<5°C and 30°C<Tc<50°C.
Within the actual temperature range, the data for the refrigeration capacity are reproduced better than 1.4% and the data for the power consumption of the compressor are reproduced
better than 0.7%.
The calculated volumetric efficiency is, however, greater than 1 which, according to Copeland, is due to the definition of geometric volume.
Table A7. Copeland Scroll ZK75K4E
T0 |
Tc |
Qdata |
Wdata |
Qfit |
Wfit |
DQ |
dW |
ηv |
ηis |
C |
C |
W |
W |
W |
W |
% |
% |
- |
- |
7 |
30 |
38180 |
8830 |
38158 |
8883 |
-0.06 |
0.60 |
0.991 |
0.433 |
5 |
30 |
35850 |
8500 |
35805 |
8559 |
-0.13 |
0.69 |
0.994 |
0.464 |
0 |
30 |
30520 |
7780 |
30455 |
7812 |
-0.21 |
0.41 |
1.000 |
0.537 |
-5 |
30 |
25800 |
7190 |
25772 |
7186 |
-0.11 |
-0.06 |
1.004 |
0.597 |
-10 |
30 |
21660 |
6720 |
21662 |
6691 |
0.01 |
-0.44 |
1.008 |
0.637 |
-15 |
30 |
18020 |
6330 |
18048 |
6314 |
0.15 |
-0.26 |
1.008 |
0.656 |
-20 |
30 |
14850 |
6000 |
14869 |
6003 |
0.13 |
0.05 |
1.003 |
0.654 |
-25 |
30 |
12080 |
5700 |
12082 |
5671 |
0.02 |
-0.50 |
0.993 |
0.642 |
-30 |
30 |
9650 |
5420 |
9670 |
5401 |
0.21 |
-0.35 |
0.975 |
0.611 |
7 |
40 |
33640 |
9450 |
33735 |
9433 |
0.28 |
-0.18 |
1.004 |
0.567 |
5 |
40 |
31580 |
9190 |
31642 |
9205 |
0.20 |
0.16 |
1.006 |
0.586 |
0 |
40 |
26860 |
8630 |
26875 |
8664 |
0.06 |
0.39 |
1.009 |
0.626 |
-5 |
40 |
22700 |
8160 |
22697 |
8194 |
-0.01 |
0.41 |
1.010 |
0.652 |
-10 |
40 |
19050 |
7760 |
19030 |
7801 |
-0.10 |
0.53 |
1.010 |
0.661 |
-15 |
40 |
15850 |
7400 |
15815 |
7449 |
-0.22 |
0.66 |
1.006 |
0.656 |
-20 |
40 |
13050 |
7060 |
13005 |
7075 |
-0.35 |
0.22 |
0.999 |
0.642 |
-25 |
40 |
10600 |
6710 |
10572 |
6790 |
-0.26 |
1.19 |
0.988 |
0.611 |
7 |
50 |
28480 |
10620 |
28463 |
10595 |
-0.06 |
-0.23 |
1.011 |
0.636 |
5 |
50 |
26710 |
10410 |
26706 |
10396 |
-0.02 |
-0.14 |
1.011 |
0.645 |
0 |
50 |
22680 |
9940 |
22697 |
9923 |
0.08 |
-0.17 |
1.012 |
0.661 |
-5 |
50 |
19160 |
9530 |
19183 |
9503 |
0.12 |
-0.28 |
1.013 |
0.665 |
-10 |
50 |
16080 |
9130 |
16104 |
9120 |
0.15 |
-0.11 |
1.012 |
0.657 |
-15 |
50 |
13400 |
8740 |
13414 |
8712 |
0.11 |
-0.32 |
1.010 |
0.643 |
-20 |
50 |
11060 |
8310 |
11074 |
8247 |
0.13 |
-0.76 |
1.005 |
0.626 |
Table A8. Copeland Scroll ZF33K4E
T0 |
Tc |
Qdata |
Wdata |
Qfit |
Wfit |
DQ |
dW |
ηv |
ηis |
C |
C |
W |
W |
W |
W |
% |
% |
- |
- |
5 |
30 |
35252 |
8142 |
35120 |
8400 |
0.38 |
-3.07 |
0.978 |
0.480 |
0 |
30 |
30239 |
7958 |
30180 |
7880 |
0.19 |
0.99 |
0.992 |
0.523 |
-5 |
30 |
25849 |
7578 |
25820 |
7400 |
0.11 |
2.41 |
1.007 |
0.567 |
-10 |
30 |
21988 |
7101 |
21980 |
6970 |
0.04 |
1.88 |
1.023 |
0.609 |
-15 |
30 |
18572 |
6603 |
18570 |
6580 |
0.01 |
0.35 |
1.037 |
0.645 |
-20 |
30 |
15526 |
6143 |
15520 |
6210 |
0.04 |
-1.07 |
1.048 |
0.668 |
-25 |
30 |
12775 |
5771 |
12770 |
5870 |
0.04 |
-1.69 |
1.049 |
0.667 |
-30 |
30 |
10246 |
5519 |
10220 |
5540 |
0.26 |
-0.38 |
1.033 |
0.634 |
-35 |
30 |
7858 |
5356 |
7820 |
5210 |
0.49 |
2.81 |
0.981 |
0.563 |
-40 |
30 |
5518 |
4870 |
5490 |
4880 |
0.50 |
-0.21 |
0.861 |
0.487 |
5 |
40 |
31579 |
9224 |
31760 |
9490 |
-0.57 |
-2.81 |
1.004 |
0.584 |
0 |
40 |
26993 |
9006 |
27100 |
8980 |
-0.40 |
0.29 |
1.013 |
0.605 |
-5 |
40 |
22968 |
8640 |
23010 |
8520 |
-0.18 |
1.41 |
1.022 |
0.626 |
-10 |
40 |
19423 |
8186 |
19440 |
8090 |
-0.09 |
1.18 |
1.031 |
0.643 |
-15 |
40 |
16285 |
7698 |
16300 |
7690 |
-0.09 |
0.10 |
1.036 |
0.654 |
-20 |
40 |
13490 |
7226 |
13520 |
7310 |
-0.22 |
-1.15 |
1.037 |
0.652 |
-25 |
40 |
10973 |
6816 |
11020 |
6940 |
-0.43 |
-1.79 |
1.026 |
0.632 |
-30 |
40 |
8669 |
6500 |
8740 |
6580 |
-0.81 |
-1.22 |
0.994 |
0.586 |
-35 |
40 |
6506 |
6244 |
6600 |
6210 |
-1.42 |
0.54 |
0.923 |
0.509 |
-40 |
40 |
4405 |
5644 |
4520 |
5830 |
-2.54 |
-3.18 |
0.781 |
0.423 |
5 |
50 |
26737 |
10580 |
26990 |
10820 |
-0.94 |
-2.22 |
1.013 |
0.635 |
0 |
50 |
22792 |
10360 |
22830 |
10330 |
-0.17 |
0.29 |
1.017 |
0.636 |
-5 |
50 |
19333 |
10020 |
19240 |
9880 |
0.48 |
1.42 |
1.021 |
0.635 |
-10 |
50 |
16299 |
9598 |
16160 |
9450 |
0.86 |
1.57 |
1.024 |
0.632 |
-15 |
50 |
13638 |
9132 |
13510 |
9040 |
0.95 |
1.01 |
1.026 |
0.624 |
-20 |
50 |
11302 |
8658 |
11230 |
8650 |
0.64 |
0.09 |
1.026 |
0.609 |
-25 |
50 |
9245 |
8215 |
9220 |
8250 |
0.27 |
-0.43 |
1.020 |
0.584 |
-30 |
50 |
7424 |
7838 |
7430 |
7850 |
-0.08 |
-0.15 |
1.004 |
0.544 |
-35 |
50 |
5794 |
7536 |
5780 |
7440 |
0.24 |
1.29 |
0.969 |
0.487 |
-40 |
50 |
4307 |
7179 |
4180 |
7000 |
3.05 |
2.56 |
0.900 |
0.419 |

Figure A11. Volumetric efficiency for Copeland Scroll ZS75K4-TDW

Figure A12. Isentropic efficiency for Copeland Scroll ZS75K4E-TDW

Figure A13. Volumetric efficiency for Copeland Scroll ZF33K4E-TDW

Figure A14. Isentropic efficiency for Copeland Scroll ZF33K4E-TDW
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Version 1.0 September 2004, © Danish Environmental Protection Agency
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