Water is heated from 15°C to 55°C. The ambient temperature is -5°C and the heat load on the system needs to be reclaimed with the lowest possible energy consumption. The temperature difference of the heat reclaim HX is set to 5 K. The temperature out of the gas cooler is kept at 4°C in all cases where the gas cooler is active.
The system used consists of one or more compressors, heat reclaim heat exchanger with pump, 2 3-way valves, air cooled gas cooler and a high pressure control valve with electronic controller. |
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Under these conditions the discharge temperature from the compressors is approx 35°C and therefore it is not possible to make 55°C hot water.
To make the system able to reach 55°C the discharge needs to be at least 55°C and therefore the pressure needs to be pushed upwards.

At 50 bar high pressure the discharge temperature is 55°C and therefore it is possible to start reclaiming heat from the system but there is no temperature difference of the heat exchanger.
By increasing the pressure further the amount of heat taken out of the system is increasing.

At 80 bar approx 80 % of the heat is reclaimed at a cooling COP of 3,13. To increase the ratio to more than 80 % the pressure can be pushed up and the gas cooler can be by-passed.
By doing this the ratio will go to 100% because there is no heat lost to the ambient, but all heat is reclaimed. This will put in more compressors to compensate for the lower compressor performence at high discharge pressure.

Under these conditions all heat is reclaimed and the COP of the system is approx 2,6.
Since the heat output from the system varies with the pressure it is interesting to look at what the heating COP of the system is. The system consumes energy in the conditions that it is running with optimised pressure (in this example 40 bar). This means that no mater how much heat we pull out of the system it will consume energy. Therefore the heating COP of the system is calculated as the heating capacity divided by the extra energy consumed by the compressors. This is done because then it is possible to compare the heating COP with alternative heating sources.
| P_gc [bar] |
COP ref [-] |
Ratio |
COP Heat [-] |
| 40 |
8,8 |
0% |
- |
| 50 |
5,7 |
0% |
- |
| 60 |
4,3 |
25% |
2,6 |
| 70 |
3,6 |
40% |
3,1 |
| 80 |
3,1 |
80% |
5,1 |
| 80 |
3,1 |
100%* |
5,1 |
*By-pass of air cooled gas cooler
The ratio is the ratio between the maximum heat available and the heat used. The heating COP is varying with the ambient temperature. At high ambient temperatures the compressor load used for refrigeration is higher and therefore the compressor load for heating is less. At lower ambient temperatures the pressure can not be decreased, and therefore this will not effect the heating COP. If the ambient temperature was chosen to be 3°C instead of -5°C then the result will be as shown in the table.
| P_gc [bar] |
COP ref [-] |
Ratio |
COP Heat [-] |
| 50 |
5,7 |
0% |
- |
| 60 |
4,3 |
25% |
5,6 |
| 70 |
3,6 |
40% |
5,0 |
| 80 |
3,1 |
80% |
7,3 |
| 80 |
3,1 |
100%* |
7,3 |
*By-pass of air cooled gas cooler
The results show that the ambient temperature has a significant impact on the heating COP and the heating COP is highest at full load. If the high. COP is desired at part load the system can be build as a CO2 heat pump on top of the refrigeration system.