Piecewise affine modeling of parallel boost converter in a DC microgrid and its control application by utilizing a Linear Matrix Inequality approach
The Piecewise Affine (PWA) model approximates nonlinear systems using linear models within specific regions. This approach offers advantages for designing DC microgrid control systems with linear controllers, mainly when the system includes several nonlinear DC–DC boost converters. The boundaries of...
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Elsevier
2024-12-01
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| Series: | e-Prime: Advances in Electrical Engineering, Electronics and Energy |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2772671124004236 |
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| author | Wakhyu Dwiono Bambang R. Trilaksono Tri Desmana Rachmildha Arwindra Rizqiawan |
| author_facet | Wakhyu Dwiono Bambang R. Trilaksono Tri Desmana Rachmildha Arwindra Rizqiawan |
| author_sort | Wakhyu Dwiono |
| collection | DOAJ |
| description | The Piecewise Affine (PWA) model approximates nonlinear systems using linear models within specific regions. This approach offers advantages for designing DC microgrid control systems with linear controllers, mainly when the system includes several nonlinear DC–DC boost converters. The boundaries of the PWA model can be established using straightforward methods based on duty cycle partitions. Each duty-cycle region represents a distinct operational mode of the system characterized by unique dynamic equations. This study presents a formulation for deriving the PWA model of a parallel boost converter based on its nonlinear average dynamics resulting from the multiplication of states and inputs. An average dynamics model for the parallel boost converter is also introduced and employed in the deriving formulation. Moreover, computer simulations were conducted to analyze the PWA models of parallel boost converter dynamics, employing various partitions, comparing their behaviors among themselves and against those of the Matlab Simulink model. Furthermore, laboratory experiments were conducted by implementing a controller based on Linear Matrix Inequalities (LMI), designed using the PWA model of the parallel boost converter, to regulate the converter’s output voltage. The simulation and experimental results demonstrate that the PWA models of parallel boost converter dynamics closely align with those of the average model, making it well-suited for being controlled using a linear controller. |
| format | Article |
| id | doaj-art-b272b413a8ea476e8adf386d53311a02 |
| institution | OA Journals |
| issn | 2772-6711 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | e-Prime: Advances in Electrical Engineering, Electronics and Energy |
| spelling | doaj-art-b272b413a8ea476e8adf386d53311a022025-08-20T02:35:43ZengElseviere-Prime: Advances in Electrical Engineering, Electronics and Energy2772-67112024-12-011010084410.1016/j.prime.2024.100844Piecewise affine modeling of parallel boost converter in a DC microgrid and its control application by utilizing a Linear Matrix Inequality approachWakhyu Dwiono0Bambang R. Trilaksono1Tri Desmana Rachmildha2Arwindra Rizqiawan3Doctoral Program of Electrical Engineering and Informatics, School of Electrical Engineering and Informatics, Institut Teknologi Bandung, Jl Ganesha 10, Bandung, 40132, Jawa Barat, Indonesia; Department of Electrical Engineering, Universitas Muhammadiyah Purwokerto, Jl KH Ahmad Dahlan 1, Purwokerto, 53182, Jawa Tengah, Indonesia; Corresponding author at: Doctoral Program of Electrical Engineering and Informatics, School of Electrical Engineering and Informatics, Institut Teknologi Bandung, Jl Ganesha 10, Bandung, 40132, Jawa Barat, Indonesia.School of Electrical Engineering and Informatics, Institut Teknologi Bandung, Jl Ganesha 10, Bandung, 40132, Jawa Barat, Indonesia; University Center of Excellence—Artificial Intelligence on Vision, NLP and Big Data Analytics (U-CoE AI-VLB), Jl Ganesha 10, Bandung, 40132, Jawa Barat, IndonesiaSchool of Electrical Engineering and Informatics, Institut Teknologi Bandung, Jl Ganesha 10, Bandung, 40132, Jawa Barat, IndonesiaSchool of Electrical Engineering and Informatics, Institut Teknologi Bandung, Jl Ganesha 10, Bandung, 40132, Jawa Barat, IndonesiaThe Piecewise Affine (PWA) model approximates nonlinear systems using linear models within specific regions. This approach offers advantages for designing DC microgrid control systems with linear controllers, mainly when the system includes several nonlinear DC–DC boost converters. The boundaries of the PWA model can be established using straightforward methods based on duty cycle partitions. Each duty-cycle region represents a distinct operational mode of the system characterized by unique dynamic equations. This study presents a formulation for deriving the PWA model of a parallel boost converter based on its nonlinear average dynamics resulting from the multiplication of states and inputs. An average dynamics model for the parallel boost converter is also introduced and employed in the deriving formulation. Moreover, computer simulations were conducted to analyze the PWA models of parallel boost converter dynamics, employing various partitions, comparing their behaviors among themselves and against those of the Matlab Simulink model. Furthermore, laboratory experiments were conducted by implementing a controller based on Linear Matrix Inequalities (LMI), designed using the PWA model of the parallel boost converter, to regulate the converter’s output voltage. The simulation and experimental results demonstrate that the PWA models of parallel boost converter dynamics closely align with those of the average model, making it well-suited for being controlled using a linear controller.http://www.sciencedirect.com/science/article/pii/S2772671124004236Modeling and simulationAverage dynamicsPiecewise affineParallel boost converterDC microgrid |
| spellingShingle | Wakhyu Dwiono Bambang R. Trilaksono Tri Desmana Rachmildha Arwindra Rizqiawan Piecewise affine modeling of parallel boost converter in a DC microgrid and its control application by utilizing a Linear Matrix Inequality approach e-Prime: Advances in Electrical Engineering, Electronics and Energy Modeling and simulation Average dynamics Piecewise affine Parallel boost converter DC microgrid |
| title | Piecewise affine modeling of parallel boost converter in a DC microgrid and its control application by utilizing a Linear Matrix Inequality approach |
| title_full | Piecewise affine modeling of parallel boost converter in a DC microgrid and its control application by utilizing a Linear Matrix Inequality approach |
| title_fullStr | Piecewise affine modeling of parallel boost converter in a DC microgrid and its control application by utilizing a Linear Matrix Inequality approach |
| title_full_unstemmed | Piecewise affine modeling of parallel boost converter in a DC microgrid and its control application by utilizing a Linear Matrix Inequality approach |
| title_short | Piecewise affine modeling of parallel boost converter in a DC microgrid and its control application by utilizing a Linear Matrix Inequality approach |
| title_sort | piecewise affine modeling of parallel boost converter in a dc microgrid and its control application by utilizing a linear matrix inequality approach |
| topic | Modeling and simulation Average dynamics Piecewise affine Parallel boost converter DC microgrid |
| url | http://www.sciencedirect.com/science/article/pii/S2772671124004236 |
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