A Quasi-Steady State Model of a Singularly Perturbed Wind Turbine with an Induction Generator and Nonlinear Frictions: A Bond Graph Approach
The modelling in bond graph of a class of nonlinear systems with singular perturbations is presented. The class of nonlinear systems modelled by bond graphs is defined by the product of state variables and nonlinear dissipation elements. In order to obtain the mathematical model of the singularly pe...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Engineering |
| Online Access: | http://dx.doi.org/10.1155/2020/2540702 |
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| author | Aaron Padilla-Garcia Gilberto Gonzalez-Avalos Noe Barrera-Gallegos Gerardo Ayala-Jaimes |
| author_facet | Aaron Padilla-Garcia Gilberto Gonzalez-Avalos Noe Barrera-Gallegos Gerardo Ayala-Jaimes |
| author_sort | Aaron Padilla-Garcia |
| collection | DOAJ |
| description | The modelling in bond graph of a class of nonlinear systems with singular perturbations is presented. The class of nonlinear systems modelled by bond graphs is defined by the product of state variables and nonlinear dissipation elements. In order to obtain the mathematical model of the singularly perturbed nonlinear systems, a lemma based on the junction structure of the bond graph with a preferred integral causality assignment is proposed. The quasi-steady state model of the system is obtained by assigning a derivative causality to the storage elements for the fast dynamics and an integral causality to the storage elements for the slow dynamics. The proposed methodology to a wind turbine connected to an induction generator is applied. Simulation results of the exact and reduced models of this case study are shown. |
| format | Article |
| id | doaj-art-2984afbba8694a459facbdb8ae55e9d8 |
| institution | Kabale University |
| issn | 2314-4904 2314-4912 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Engineering |
| spelling | doaj-art-2984afbba8694a459facbdb8ae55e9d82025-02-03T00:58:41ZengWileyJournal of Engineering2314-49042314-49122020-01-01202010.1155/2020/25407022540702A Quasi-Steady State Model of a Singularly Perturbed Wind Turbine with an Induction Generator and Nonlinear Frictions: A Bond Graph ApproachAaron Padilla-Garcia0Gilberto Gonzalez-Avalos1Noe Barrera-Gallegos2Gerardo Ayala-Jaimes3Faculty of Electrical Engineering, University of Michoacan, Morelia, MexicoFaculty of Electrical Engineering, University of Michoacan, Morelia, MexicoFaculty of Mechanical Engineering, University of Michoacan, Morelia, MexicoFaculty of Sciences of Engineering and Technology, Autonomous University of Baja California, Tijuana, MexicoThe modelling in bond graph of a class of nonlinear systems with singular perturbations is presented. The class of nonlinear systems modelled by bond graphs is defined by the product of state variables and nonlinear dissipation elements. In order to obtain the mathematical model of the singularly perturbed nonlinear systems, a lemma based on the junction structure of the bond graph with a preferred integral causality assignment is proposed. The quasi-steady state model of the system is obtained by assigning a derivative causality to the storage elements for the fast dynamics and an integral causality to the storage elements for the slow dynamics. The proposed methodology to a wind turbine connected to an induction generator is applied. Simulation results of the exact and reduced models of this case study are shown.http://dx.doi.org/10.1155/2020/2540702 |
| spellingShingle | Aaron Padilla-Garcia Gilberto Gonzalez-Avalos Noe Barrera-Gallegos Gerardo Ayala-Jaimes A Quasi-Steady State Model of a Singularly Perturbed Wind Turbine with an Induction Generator and Nonlinear Frictions: A Bond Graph Approach Journal of Engineering |
| title | A Quasi-Steady State Model of a Singularly Perturbed Wind Turbine with an Induction Generator and Nonlinear Frictions: A Bond Graph Approach |
| title_full | A Quasi-Steady State Model of a Singularly Perturbed Wind Turbine with an Induction Generator and Nonlinear Frictions: A Bond Graph Approach |
| title_fullStr | A Quasi-Steady State Model of a Singularly Perturbed Wind Turbine with an Induction Generator and Nonlinear Frictions: A Bond Graph Approach |
| title_full_unstemmed | A Quasi-Steady State Model of a Singularly Perturbed Wind Turbine with an Induction Generator and Nonlinear Frictions: A Bond Graph Approach |
| title_short | A Quasi-Steady State Model of a Singularly Perturbed Wind Turbine with an Induction Generator and Nonlinear Frictions: A Bond Graph Approach |
| title_sort | quasi steady state model of a singularly perturbed wind turbine with an induction generator and nonlinear frictions a bond graph approach |
| url | http://dx.doi.org/10.1155/2020/2540702 |
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