Genetic Algorithm for Selective Harmonic Elimination PWM Control
The paper presents an optimal solution for eliminating pre-specified order of harmonics from three-phase inverter. One solution to this problem is the selective harmonic elimination, which is required to solve multiple nonlinear equations simultaneously.
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Abstract The paper presents an optimal solution for eliminating pre-specified order of harmonics from three-phase inverter. One solution to this problem is the selective harmonic elimination, which is required to solve multiple nonlinear equations simultaneously. Genetic algorithm (GA) technique is introduced to minimize the computational burden associated with the nonlinear transcendental equations of the Selective harmonic elimination pulse-width modulation (SHE– PWM) method and initial values are not properly guessed. However, the convergence speed is relatively slow and code length has great influence on the accuracy. In this paper, the hybrid GA method based on the refinement of the genetic algorithms results through the Newton–Raphson method was used to simultaneously solve the nonlinear equations. Simulation research on harmonic elimination model was carried out by Matlab software. The results show a considerable effect on decrease in the total harmonic distortion. The proposed algorithm could calculate switching angles efficiently resulting in fast convergence. Keywords Nonlinear equations
Genetic algorithms Hybrid genetic algorithm
W. Zhang (&) X. Meng Harbin Engineering University (HEU), Harbin, China e-mail: [email protected] X. Meng e-mail: [email protected] L. Jiang Daya Bay Nuclear Power, Management Co. Ltd, Shenzhen, China e-mail: [email protected]
Z. Wen and T. Li (eds.), Foundations of Intelligent Systems, Advances in Intelligent Systems and Computing 277, DOI: 10.1007/978-3-642-54924-3_75, Springer-Verlag Berlin Heidelberg 2014
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1 Introduction Selective harmonic elimination pulse-width modulation (SHE–PWM) techniques have been mainly developed for two-level and three-level converter schemes [1]. The main challenge associated with SHE–PWM techniques is to obtain the analytical solution of the resultant system of nonlinear transcendental equations that contain trigonometric terms, which in turn provide multiple sets of solutions [2]. Sets of nonlinear transcendental equations are then derived, and the solution is obtained using an iterative procedure, mostly by Newton–Raphson method [3–5]. This method is derivative-dependent and may end in local optima; however, a judicious choice of the initial values alone guarantees convergence [6, 7]. Genetic algorithm (GA) is a kind of search optimization technique based on evolutionary strategy; because of high parallel processing ability, strong robustness, and global search ability, GA is widely used. Especially in solving the problem of nonlinear function, effectiveness has been verified [4]. This paper proposes a technique to eliminate pre-specified order of harmonics from the output waveform of three-phase inverter. Selective Harmonic Elimination (SHE) in pulse-width modulation (PWM) technique can be used for the elimination of harmonics, which necessitates solving systems of nonlinear equations. Traditional numerical methods must be taken to preset the initial values and predict the trend of these values
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