Fuzzy mathematical programming as a tool in optimization of one-phase electrical circuits

Abstract

The application of fuzzy mathematical programming as optimization technique in one-phase electrical circuits with nonsinusoidal periodical waveforms and linear loads has been presented in the paper. The solution (active current) is determined as crisp one (real numbers) in frequency domain. It is obtained in the numerical way. This optimization leads to determine the source currents with minimal RMS value when the power constraints donpsilat have to be fulfilled strictly. The solution takes into consideration membership functions of power constraint and minimized RMS value of currents.