As a way of accelerating the deployment of affordable and clean renewable energy generation technologies, applying a pump working as a turbine coupled to a self-excited induction generator is gaining popularity in various areas including energy recovery and micro hydro systems. However, it is currently challenging to predict the performance of the PAT-SEIG system and there is no agreed-upon rule on the selection of the appropriate system to be installed at a particular site. This paper has presented multi-objective optimization to select the best operating point of the PAT-SEIG system. The results show that the peak efficiencies for the PAT fall between 39.9% and 40.08% and for SEIG they fall between 69.78% and 69.84% and are not coincident. Thus, when selecting the operating point, a trade off on one element is necessary. Gamultobj optimization outputs the Pareto solutions and FMINCON locates the BEP within the Pareto solutions.