In conclusion, it does not make much real physical sense since we are already drawing heat from the cold source ...
Comparison of definitions:
Quote http://www.ademe.fr/particuliers/Fiches/glossaire.htm
COP (Coefficient of performance): the energy performance of a heat pump is expressed by the ratio between the quantity of heat produced by it and the electrical energy consumed by the compressor. This ratio is the coefficient of performance (COP) of the heat pump.
or:
http://www.actu-environnement.com/ae/di ... e_cop.php4
Different from:
http://fr.wikipedia.org/wiki/Pompe_%C3%A0_chaleur
In conclusion, maybe you should try going through the yield study to show what you have to show ...
- mechanical study: electric motor efficiency, pump efficiency.
- calorific study according to the pressure restored by the heat pump AND the temperature of the cold source: adiabatic compression in carnot cycle (ideal, without energy losses with the outside), it seems to me.