Fuzzy optimal capacitor sizing and placement

The installation of power capacitors in distribution systems yields numerous economical benefits and improvements in system performance. There are many algorithms to determine the optimal capacitor sizes and their placement in distribution systems. All of these methods require data, which may be uncertain in nature, to generate an acceptable solution to the capacitor sizing and placement problem. To account for such uncertainties in these parameters, a new method using fuzzy set theory is proposed. This proposed method employs a known method for optimal capacitor sizing and placement but models its parameters by possibility distribution functions. The generated fuzzy solutions offer a more suitable means of evaluating the goodness of the results based on uncertain data. In this paper, a fuzzy optimal capacitor sizing and placement method is applied to a practical test case system.