Dynamic Analysis for the Physically Correct Model of a Fractional-Order Buck-Boost Converter
This work proposes a fractional-order mathematical model of a Buck-Boost converter performing in continuous conduction mode. To do so, we employ the average duty-cycle representation in state space, driven by the nonadimensionalize approach to avoid unit inconsistencies in the model. We also conside...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-11-01
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| Series: | Computer Sciences & Mathematics Forum |
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| Online Access: | https://www.mdpi.com/2813-0324/4/1/2 |
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| author | Daniel F. Zambrano-Gutierrez Jorge M. Cruz-Duarte Gerardo Humberto Valencia-Rivera Ivan Amaya Juan Gabriel Avina-Cervantes |
| author_facet | Daniel F. Zambrano-Gutierrez Jorge M. Cruz-Duarte Gerardo Humberto Valencia-Rivera Ivan Amaya Juan Gabriel Avina-Cervantes |
| author_sort | Daniel F. Zambrano-Gutierrez |
| collection | DOAJ |
| description | This work proposes a fractional-order mathematical model of a Buck-Boost converter performing in continuous conduction mode. To do so, we employ the average duty-cycle representation in state space, driven by the nonadimensionalize approach to avoid unit inconsistencies in the model. We also consider a Direct Current (DC) analysis through the fractional Riemann–Liouville (R-L) approach. Moreover, the fractional order Buck-Boost converter model is implemented in the Matlab/Simulink setting, which is also powered by the Fractional-order Modeling and Control (FOMCON) toolbox. When modifying the fractional model order, we identify significant variations in the dynamic converter response from this simulated scenario. Finally, we detail how to achieve a fast dynamic response without oscillations and an adequate overshoot, appropriately varying the fractional-order coefficient. The numerical results have allowed us to determine that with the decrease of the fractional order, the model presents minor oscillations, obtaining an output voltage response six times faster with a significant overshoot reduction of 67%, on average. |
| first_indexed | 2024-03-11T06:43:06Z |
| format | Article |
| id | doaj.art-bf5f377711ea45b4ba1626ed07e456eb |
| institution | Directory Open Access Journal |
| issn | 2813-0324 |
| language | English |
| last_indexed | 2024-03-11T06:43:06Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Computer Sciences & Mathematics Forum |
| spelling | doaj.art-bf5f377711ea45b4ba1626ed07e456eb2023-11-17T10:30:20ZengMDPI AGComputer Sciences & Mathematics Forum2813-03242022-11-0141210.3390/cmsf2022004002Dynamic Analysis for the Physically Correct Model of a Fractional-Order Buck-Boost ConverterDaniel F. Zambrano-Gutierrez0Jorge M. Cruz-Duarte1Gerardo Humberto Valencia-Rivera2Ivan Amaya3Juan Gabriel Avina-Cervantes4Tecnológico de Monterrey, Av. Eugenio Garza Sada 2501, Col. Tecnológico, Monterrey 64700, MexicoTecnológico de Monterrey, Av. Eugenio Garza Sada 2501, Col. Tecnológico, Monterrey 64700, MexicoTecnológico de Monterrey, Av. Eugenio Garza Sada 2501, Col. Tecnológico, Monterrey 64700, MexicoTecnológico de Monterrey, Av. Eugenio Garza Sada 2501, Col. Tecnológico, Monterrey 64700, MexicoTelematics Group, Department of Electronics Engineering, University of Guanajuato, Carr. Salamanca-Valle de Santiago km 3.5 + 1.8 km, Comunidad de Palo Blanco, Salamanca 36885, MexicoThis work proposes a fractional-order mathematical model of a Buck-Boost converter performing in continuous conduction mode. To do so, we employ the average duty-cycle representation in state space, driven by the nonadimensionalize approach to avoid unit inconsistencies in the model. We also consider a Direct Current (DC) analysis through the fractional Riemann–Liouville (R-L) approach. Moreover, the fractional order Buck-Boost converter model is implemented in the Matlab/Simulink setting, which is also powered by the Fractional-order Modeling and Control (FOMCON) toolbox. When modifying the fractional model order, we identify significant variations in the dynamic converter response from this simulated scenario. Finally, we detail how to achieve a fast dynamic response without oscillations and an adequate overshoot, appropriately varying the fractional-order coefficient. The numerical results have allowed us to determine that with the decrease of the fractional order, the model presents minor oscillations, obtaining an output voltage response six times faster with a significant overshoot reduction of 67%, on average.https://www.mdpi.com/2813-0324/4/1/2fractional order Buck-Boost convertermodelingRiemann–Liouville fractional derivativeFOMCONsteady state analysis |
| spellingShingle | Daniel F. Zambrano-Gutierrez Jorge M. Cruz-Duarte Gerardo Humberto Valencia-Rivera Ivan Amaya Juan Gabriel Avina-Cervantes Dynamic Analysis for the Physically Correct Model of a Fractional-Order Buck-Boost Converter Computer Sciences & Mathematics Forum fractional order Buck-Boost converter modeling Riemann–Liouville fractional derivative FOMCON steady state analysis |
| title | Dynamic Analysis for the Physically Correct Model of a Fractional-Order Buck-Boost Converter |
| title_full | Dynamic Analysis for the Physically Correct Model of a Fractional-Order Buck-Boost Converter |
| title_fullStr | Dynamic Analysis for the Physically Correct Model of a Fractional-Order Buck-Boost Converter |
| title_full_unstemmed | Dynamic Analysis for the Physically Correct Model of a Fractional-Order Buck-Boost Converter |
| title_short | Dynamic Analysis for the Physically Correct Model of a Fractional-Order Buck-Boost Converter |
| title_sort | dynamic analysis for the physically correct model of a fractional order buck boost converter |
| topic | fractional order Buck-Boost converter modeling Riemann–Liouville fractional derivative FOMCON steady state analysis |
| url | https://www.mdpi.com/2813-0324/4/1/2 |
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