A Hybrid Least-Squares GA Based Algorithm for Harmlonic Estimation

• Published in: IEEE power engineering review Vol. 22; no. 8; p. 67
• Main Authors: Bettayeb, M., Qidwai, U.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.08.2002; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Amplitude estimation; Amplitudes; Convergence; Distortion; Genetic algorithms; harmonic estimation; Harmonics; hybrid algorithm; Hybrid power systems; least squares; Least squares method; Load flow; Nonlinearity; Performance analysis; performance index; Phase estimation; Power system harmonics; Power system modeling; Stability; Voltage
• ISSN: 0272-1724; 1558-1705
• DOI: 10.1109/MPER.2002.4312505

Harmonic estimation in a distorted signal along with additive noise has been an area of interest for researchers in many disciplines of science and engineering. This paper presents a new algorithm to estimate the harmonics in power systems using genetic algorithms (GA). The harmonic estimation problem is linear in amplitude and nonlinear in phase. The proposed hybrid algorithm takes advantage of this structure and iterates between linear least-squares amplitude estimation and the nonlinear GA-based phase estimation. Improvement in both convergence for solution as well as processing time is demonstrated from this algorithm.