Optimum Design of Passive Harmonic Filter by Using Game Theory Concepts

Passive harmonic Filters (PHF) are the simplest, cheapest, and the most effective way to reduce harmonics of the voltage and current waveforms. In designing the PHF, the main goals are to minimize the cost of the filters and reduce the total harmonic distortion of currents and voltages at the Point of Common Coupling (PCC) to the acceptable range which are defined by standards. In this paper, an important multiobjective optimization approaches namely Strength Pareto Evolutionary Algorithm (SPEA) has been used for tuning the PHF parameters. This approach is applied to IEEE 13 node test system with a six-pulse converter as a harmonic source. Another approach, called Nash GA, is based on non-cooperative game gives an optimal point known as Nash equilibrium. This approach is also simulated on IEEE test system. The result of optimization shows lower THD and cost for optimal PHFs in comparison with the conventionally designed one. To make comparison, some results of these methods are compared and discussed.