Optimal shunt capacitor allocation by fuzzy dynamic programming

A new approach using fuzzy dynamic programming to decide the optimal location and size of compensation shunt capacitors for distribution systems with harmonic distortion is proposed. To decide the optimal capacitor placement, a fuzzy dynamic programming model in which the real power loss, voltage deviation, and harmonic distortion are all expressed in fuzzy set notation is developed. The problem is formulated as a fuzzy dynamic programming of the minimization of real power loss and capacitor cost under the constraints of voltage limits and total harmonic distortion. A simple algorithm that is based on the fuzzy set is proposed to determine an optimal solution. This algorithm greatly reduces the effort of finding the optimal location via an exhaustive search. A practical distribution system is selected for computer simulation to test the efficiency of the proposed fuzzy dynamic programming method. It is found that the system loss and harmonic distortion can be reduced very effectively by this proposed algorithm.