The COP formula is:
COP = (Q_H) / (W_in)
Where:
Q_H is the heating output (in watts)
W_in is the input power (in watts)
For example, let's say we have a heat pump system that has a heating output of 10,000 watts and an input power of 2,500 watts. To calculate the COP of this system, we would use the formula:
COP = (10,000) / (2,500)
COP = 4
This means that for every 1 watt of input power, the heat pump system delivers 4 watts of heating output. This is a very high COP and indicates that the system is very efficient.
It's important to note that the COP of a heat pump or refrigeration system can vary depending on the operating conditions. Factors such as the temperature difference between the source and the sink, the type of refrigerant used, and the design of the system can all affect the COP.
The COP also can change depending on the application. For example, in cooling application COP is defined as output cooling power/input electrical power.
Overall, the COP is a useful metric for evaluating the efficiency of heat pump and refrigeration systems, and it can be used to compare different systems and to identify opportunities for improvement.