Volume 57, Issue 2, November 2021, Pages 184–196
Arzika Makaou Ali1 and Mamane Souleye Ibrahim2
1 Department of mathematics and computer Science, Abdou Moumouni University, Niamey, Niger
2 Department of mathematics and computer Science, Abdou Moumouni University, Niamey, Niger
Original language: English
Copyright © 2021 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
In this paper, we present a new approach Pulse Width Modulation, (PWM, for short), to determine the optimal switching angles by Selective Harmonic Elimination of a cascade multilevel inverters. Based on mean voltage values, we address a formula that relates inverters switching angles with voltages in three phase multilevel inverters. After, using inverse generalized technique, we determine such angles expression depending on mean voltages values. In view to eliminate harmonics, we consider these calculated switching angles in the resulting system of nonlinear equations obtained from Fourier series decomposition of the output of three phase and single phase voltage. Therefore, with respect to different values of the modulation rate r, applying Newton algorithm to solve the optimization problem, we obtain for five level inverters, optimal switching angles that eliminate harmonics of rank 3 and 5 for single phase and three phase, respectively.
Author Keywords: Optimization, SHE-PWM, Multilevel Inverters, Newton-Raphson algorithm.
Arzika Makaou Ali1 and Mamane Souleye Ibrahim2
1 Department of mathematics and computer Science, Abdou Moumouni University, Niamey, Niger
2 Department of mathematics and computer Science, Abdou Moumouni University, Niamey, Niger
Original language: English
Copyright © 2021 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In this paper, we present a new approach Pulse Width Modulation, (PWM, for short), to determine the optimal switching angles by Selective Harmonic Elimination of a cascade multilevel inverters. Based on mean voltage values, we address a formula that relates inverters switching angles with voltages in three phase multilevel inverters. After, using inverse generalized technique, we determine such angles expression depending on mean voltages values. In view to eliminate harmonics, we consider these calculated switching angles in the resulting system of nonlinear equations obtained from Fourier series decomposition of the output of three phase and single phase voltage. Therefore, with respect to different values of the modulation rate r, applying Newton algorithm to solve the optimization problem, we obtain for five level inverters, optimal switching angles that eliminate harmonics of rank 3 and 5 for single phase and three phase, respectively.
Author Keywords: Optimization, SHE-PWM, Multilevel Inverters, Newton-Raphson algorithm.
How to Cite this Article
Arzika Makaou Ali and Mamane Souleye Ibrahim, “New SHE-PWM approach and model applied to Multilevel inverters,” International Journal of Innovation and Scientific Research, vol. 57, no. 2, pp. 184–196, November 2021.
