This is to obtain the correlation between cooling capacity and COP.
Thanks in advance.
Cooling Capacity is the measure of a cooling of system ability to remove heat. It is equivalent to the heat supplied to the evaporator.
COP=Q/W
where,
Q is the useful heat supplied or removed by the consideration system.
W is the work required by the considered system
The COP for heating and cooling are very much different from each other because of different heat reservoir.
The COP is the ratio of the heat removed from the cold reservoir to input work.
For heating, the COP is the ratio which the heat removed from the cold reservoir plus the input work to the input work.
COP(Heating) = |QH| / W
= (|QC| + W) / W
COP (Cooling) = |QC| / W
QC is the heat removed from the cold reservoir.
QH is the heat supplied to the hot reservoir.
COP is the ratio between the cold produced and the energy spent. In terms of energy you can calculate the cooling energy produced (for example, if the thermoelectric element is used to cool a water flow, you can measure the heat absorbed from water in a certain span of time) and divide it for the electric energy used to feed the thermoelectric element in the same time span (Voltage * Current * time). The evaluation of COP for such components is easier than other classes of cooler/chiller (because of simplicity in electric energy measurement).
Check the following paper:
Astrain, David, A. Merino, L. Catalán, P. Aranguren, Miguel Araiz, D. Sánchez, R. Cabello, and Rodrigo Llopis. "Improvements in the cooling capacity and the COP of a transcritical CO2 refrigeration plant operating with a thermoelectric subcooling system." Applied Thermal Engineering 155 (2019): 110-122.
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