an interactive fuzzy satisfying method based on particle swarm optimization for multi-objective function in reactive power market

Reactive power plays an important role in supporting real power transmission, maintaining system voltages within proper limits and overall system reliability. in this paper, the production cost of reactive power, cost of the system transmission loss, investment cost of capacitor banks and absolute value of total voltage deviation (tvd) are included into the objective function of the power flow problem. then, by using particle swarm optimization algorithm (pso), the problem is solved. the proposed pso algorithm is implemented on standard ieee 14-bus and ieee 57-bus test systems and with using fuzzy satisfying method the optimal solutions are determined. the fuzzy goals are quantified by defining their corresponding membership functions and the decision maker is then asked to specify the desirable membership values. the obtained results show that solving this problem by using the proposed method gives much better results than all the other algorithms.