Optimal capacitor placement in distribution systems using a combination fuzzy-GA method

摘要

This work presents a combination fuzzy-GA method to resolve the capacitor placement problem. The problem formulation considers three distinct objective functions related to minimize the total cost for energy loss and capacitors to be installed, as well as decreasing the deviation of bus voltage and improving the margin loading of feeders. The novel formulation is a multi-objective and non-differentiable optimization problem. These objective functions are first formulated in fuzzy sets to assess their imprecise nature before introducing a fuzzy satisfying method based on the GA to derive the optimal solution. The proposed approach is implemented in a software package and its effectiveness is verified through numerical examples on the Tai-power system.