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International Journal of Innovation and Scientific Research
ISSN: 2351-8014
 
 
Friday 12 April 2024

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Optimal reducing of harmonics in output voltage of multilevel single phase and three phase inverters


Volume 57, Issue 2, November 2021, Pages 169–183

 Optimal reducing of harmonics in output voltage of multilevel single phase and three phase inverters

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 are interested to reduce harmonics odd〖 H〗_k, with k > 1, of the signal in output voltage of five levels single phase and three phase cascade multilevel inverters. This consists to determine optimal switching angles that reduce certain harmonics to zero. As it is usually done, we first mathematically formulate the problem as an algebraic system of equations. After, we transform the problem as an unconstrained optimization problem. Indeed, we optimize the nonlinear functions say F_m and F_t, such that by applying the first order necessary optimality condition, we obtain solutions of the previously considered algebraic system of equations. To solve the problem, we apply conjugate gradient algorithm with both Armijo and Wolfe type line search. With respect to different values of the modulation index, we find optimal angles that eliminate odd harmonics H_k with rank k = 2n ± 1, 1 ≤ n ≤ 5 for single phase inverters and harmonics H_k with rank k = 6n ± 1,1 ≤ n ≤ 3 for three-phase inverters.

Author Keywords: Inverters, Harmonics, Optimization, Conjugate gradient, line search method.


How to Cite this Article


Arzika Makaou Ali and Mamane Souleye Ibrahim, “Optimal reducing of harmonics in output voltage of multilevel single phase and three phase inverters,” International Journal of Innovation and Scientific Research, vol. 57, no. 2, pp. 169–183, November 2021.