Fuzzy linear regression for measurement of harmonic components in a power system

Abstract

The paper presents a new approach for the measurement of power system harmonic components and is based on fuzzy linear regression. In this approach, the non-sinusoidal voltage or current waveform is written as a linear function. The coefficients of this function are assumed to be fuzzy numbers having a certain middle and spread value. The problem is formulated as a linear optimization problem, where the objective is to minimize the spread of voltage or current samples. Effects of critical parameters on the proposed algorithm are studied in the text. The proposed approach is tested using several numerical tests, which form the basis to our conclusions at the end of the paper.