Fuzzy optimisation of capacitors in distribution systems

To reach an optimal size, location and commitment schedule of shunt capacitors on a yearly based operations planning interval under the fuzzy environment, a fuzzy set theory based multistage optimisation is developed, where the loads, source voltage and objective function are all expressed in fuzzy set notations. To verify its effectiveness, the proposed approach is applied to a real distribution system. Results from the simulation show the advantages of this approach over the conventional crisp shunt capacitors compensation method in radial distribution systems. This provides good prospects for its application in practical distribution system compensation problems in an environment of uncertainty and vagueness.