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Article

Differential Evolution Based Algorithm for Optimal Current Ripple Cancelation in an Unequal Interleaved Power Converter

by
Julio C. Rosas-Caro
1,*,
Pedro M. García-Vite
2,
Alma Rodríguez
1,3,
Abraham Mendoza
1,
Avelina Alejo-Reyes
1,
Erik Cuevas
3 and
Francisco Beltran-Carbajal
4
1
Facultad de Ingenieria, Universidad Panamericana, Alvaro del Portillo 49, Zapopan 45010, Mexico
2
Tecnologico Nacional de Mexico, Instituto Tecnologico de Ciudad Madero, Av. 1o. de Mayo s/n Col. Los Mangos, Ciudad Madero 89440, Mexico
3
Departamento de Electrónica, Universidad de Guadalajara, CUCEI, Av. Revolución 1500, Guadalajara 44430, Mexico
4
Departamento de Energía, Universidad Autónoma Metropolitana, Unidad Azcapotzalco, Mexico City 02200, Mexico
*
Author to whom correspondence should be addressed.
Mathematics 2021, 9(21), 2755; https://doi.org/10.3390/math9212755
Submission received: 28 September 2021 / Revised: 16 October 2021 / Accepted: 21 October 2021 / Published: 29 October 2021

Abstract

This paper proposes an optimal methodology based on the Differential Evolution algorithm for obtaining the set of duty cycles of a recently proposed power electronics converter with input current ripple cancelation capability. The converter understudy was recently introduced to the state-of-the-art as the interleaved connection of two unequal converters to achieve low input current ripple. A latter contribution proposed a so-called proportional strategy. The strategy can be described as the equations to relate the duty cycles of the unequal power stages. This article proposes a third switching strategy that provides a lower input current ripple than the proportional strategy. This is made by considering duty cycles independently of each other instead of proportionally. The proposed method uses the Differential Evolution algorithm to determine the optimal switching pattern that allows high quality at the input current side, given the reactive components, the switching frequency, and power levels. The mathematical model of the converter is analyzed, and thus, the decision variables and the optimization problem are well set. The proposed methodology is validated through numerical experimentation, which shows that the proposed method achieves lower input current ripples than the proportional strategy.
Keywords: Differential Evolution; metaheuristic algorithms; optimization; DC–DC converter Differential Evolution; metaheuristic algorithms; optimization; DC–DC converter

Share and Cite

MDPI and ACS Style

Rosas-Caro, J.C.; García-Vite, P.M.; Rodríguez, A.; Mendoza, A.; Alejo-Reyes, A.; Cuevas, E.; Beltran-Carbajal, F. Differential Evolution Based Algorithm for Optimal Current Ripple Cancelation in an Unequal Interleaved Power Converter. Mathematics 2021, 9, 2755. https://doi.org/10.3390/math9212755

AMA Style

Rosas-Caro JC, García-Vite PM, Rodríguez A, Mendoza A, Alejo-Reyes A, Cuevas E, Beltran-Carbajal F. Differential Evolution Based Algorithm for Optimal Current Ripple Cancelation in an Unequal Interleaved Power Converter. Mathematics. 2021; 9(21):2755. https://doi.org/10.3390/math9212755

Chicago/Turabian Style

Rosas-Caro, Julio C., Pedro M. García-Vite, Alma Rodríguez, Abraham Mendoza, Avelina Alejo-Reyes, Erik Cuevas, and Francisco Beltran-Carbajal. 2021. "Differential Evolution Based Algorithm for Optimal Current Ripple Cancelation in an Unequal Interleaved Power Converter" Mathematics 9, no. 21: 2755. https://doi.org/10.3390/math9212755

APA Style

Rosas-Caro, J. C., García-Vite, P. M., Rodríguez, A., Mendoza, A., Alejo-Reyes, A., Cuevas, E., & Beltran-Carbajal, F. (2021). Differential Evolution Based Algorithm for Optimal Current Ripple Cancelation in an Unequal Interleaved Power Converter. Mathematics, 9(21), 2755. https://doi.org/10.3390/math9212755

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