Optimized Coefficient of performance of Power law dissipative Carnot like Refrigerator

The present work investigates the generalized extreme bounds of the coefficient of performance (COP) for the power law dissipative Carnot-like refrigerator in the presence of non-adiabatic dissipation under $\chi$ and $\dot{\Omega}$ optimization criteria. The lower and upper bounds of the COP for the low dissipation Carnot-like refrigerator under $\chi$ and $\dot{\Omega}$ optimization criteria are obtained with power law dissipation level $\delta=1$. The comparative analysis of the extreme bounds of COP at optimized $\dot{{\Omega}}$ and $\chi$ figure of merit shows the lower bound of the $\dot{\Omega}$ optimized COP is always higher than that of the $\chi$ optimized COP, while the upper bound of $\dot{\Omega}$ optimized COP is lesser than the $\chi$ optimized COP.