Numerical Optimization of Switching Ripples in the Double Dual Boost Converter through the Evolutionary Algorithm L-SHADE

Power-electronics based converters are essential circuits in renewable energy applications such as electricity generated with photovoltaic panels. The research on the field is getting increasing attention due to climate change problems and their possible attenuation with the use of renewable energy....

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Main Authors: Alma Rodríguez, Avelina Alejo-Reyes, Erik Cuevas, Héctor R. Robles-Campos, Julio C. Rosas-Caro
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/11/1911
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author Alma Rodríguez
Avelina Alejo-Reyes
Erik Cuevas
Héctor R. Robles-Campos
Julio C. Rosas-Caro
author_facet Alma Rodríguez
Avelina Alejo-Reyes
Erik Cuevas
Héctor R. Robles-Campos
Julio C. Rosas-Caro
author_sort Alma Rodríguez
collection DOAJ
description Power-electronics based converters are essential circuits in renewable energy applications such as electricity generated with photovoltaic panels. The research on the field is getting increasing attention due to climate change problems and their possible attenuation with the use of renewable energy. Mathematical models of the converters are being used to optimize several aspects of their operation. This article is dedicated to optimizing (through the mathematical model and an evolutionary algorithm) the operation of a state-of-the-art converter. The converter, which is composed of two parts or phases, is controlled by pulse width modulation with two switching signals (one for each phase). The converter provides by itself low switching ripple in both the output voltage and the input current, which is beneficial for renewable energy applications. In the traditional operation, one of the switching signals has an algebraic dependence on the other one. This article proposes a new way to select the duty cycle for both signals. In the proposed method, duty cycles of both phases are considered independent of each other; this provides an extra degree of freedom; on the other hand, this produce that the possible combinations of duty cycles which produce a certain voltage gain is infinite, it becomes a problem with infinite possible solutions. The proposed method utilizes the a linear success-history based adaptive differential evolution with linear population reduction, also called L-SHADE algorithm for simplicity, to find the two duty cycles that achieve the desired voltage gain and to minimize the converters switching ripple. The obtained results are compared with the former operation of the converter; the proposed operation achieves a lower output voltage ripple while achieving the desired operation (voltage gain).
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spelling doaj.art-165eea6c6bd4494c8f90e901b4b1986f2023-11-20T19:24:27ZengMDPI AGMathematics2227-73902020-10-01811191110.3390/math8111911Numerical Optimization of Switching Ripples in the Double Dual Boost Converter through the Evolutionary Algorithm L-SHADEAlma Rodríguez0Avelina Alejo-Reyes1Erik Cuevas2Héctor R. Robles-Campos3Julio C. Rosas-Caro4Departamento de Electrónica, Universidad de Guadalajara, CUCEI. Av. Revolución 1500, C.P, Guadalajara 44430, Jalisco, MexicoFacultad de Ingeniería, Universidad Panamericana, Álvaro del Portillo 49, Zapopan 45010, Jalisco, MexicoDepartamento de Electrónica, Universidad de Guadalajara, CUCEI. Av. Revolución 1500, C.P, Guadalajara 44430, Jalisco, MexicoFacultad de Ingeniería, Universidad Panamericana, Álvaro del Portillo 49, Zapopan 45010, Jalisco, MexicoFacultad de Ingeniería, Universidad Panamericana, Álvaro del Portillo 49, Zapopan 45010, Jalisco, MexicoPower-electronics based converters are essential circuits in renewable energy applications such as electricity generated with photovoltaic panels. The research on the field is getting increasing attention due to climate change problems and their possible attenuation with the use of renewable energy. Mathematical models of the converters are being used to optimize several aspects of their operation. This article is dedicated to optimizing (through the mathematical model and an evolutionary algorithm) the operation of a state-of-the-art converter. The converter, which is composed of two parts or phases, is controlled by pulse width modulation with two switching signals (one for each phase). The converter provides by itself low switching ripple in both the output voltage and the input current, which is beneficial for renewable energy applications. In the traditional operation, one of the switching signals has an algebraic dependence on the other one. This article proposes a new way to select the duty cycle for both signals. In the proposed method, duty cycles of both phases are considered independent of each other; this provides an extra degree of freedom; on the other hand, this produce that the possible combinations of duty cycles which produce a certain voltage gain is infinite, it becomes a problem with infinite possible solutions. The proposed method utilizes the a linear success-history based adaptive differential evolution with linear population reduction, also called L-SHADE algorithm for simplicity, to find the two duty cycles that achieve the desired voltage gain and to minimize the converters switching ripple. The obtained results are compared with the former operation of the converter; the proposed operation achieves a lower output voltage ripple while achieving the desired operation (voltage gain).https://www.mdpi.com/2227-7390/8/11/1911L-SHADE algorithmmetaheuristic algorithmevolutionary algorithmmathematical optimizationdouble dual boost converter
spellingShingle Alma Rodríguez
Avelina Alejo-Reyes
Erik Cuevas
Héctor R. Robles-Campos
Julio C. Rosas-Caro
Numerical Optimization of Switching Ripples in the Double Dual Boost Converter through the Evolutionary Algorithm L-SHADE
Mathematics
L-SHADE algorithm
metaheuristic algorithm
evolutionary algorithm
mathematical optimization
double dual boost converter
title Numerical Optimization of Switching Ripples in the Double Dual Boost Converter through the Evolutionary Algorithm L-SHADE
title_full Numerical Optimization of Switching Ripples in the Double Dual Boost Converter through the Evolutionary Algorithm L-SHADE
title_fullStr Numerical Optimization of Switching Ripples in the Double Dual Boost Converter through the Evolutionary Algorithm L-SHADE
title_full_unstemmed Numerical Optimization of Switching Ripples in the Double Dual Boost Converter through the Evolutionary Algorithm L-SHADE
title_short Numerical Optimization of Switching Ripples in the Double Dual Boost Converter through the Evolutionary Algorithm L-SHADE
title_sort numerical optimization of switching ripples in the double dual boost converter through the evolutionary algorithm l shade
topic L-SHADE algorithm
metaheuristic algorithm
evolutionary algorithm
mathematical optimization
double dual boost converter
url https://www.mdpi.com/2227-7390/8/11/1911
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