Nonlinear Dynamics of a PI Hydroturbine Governing System with Double Delays
A PI hydroturbine governing system with saturation and double delays is generated in small perturbation. The nonlinear dynamic behavior of the system is investigated. More precisely, at first, we analyze the stability and Hopf bifurcation of the PI hydroturbine governing system with double delays un...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2017/2796090 |
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| _version_ | 1850170836179222528 |
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| author | Hongwei Luo Jiangang Zhang Wenju Du Jiarong Lu Xinlei An |
| author_facet | Hongwei Luo Jiangang Zhang Wenju Du Jiarong Lu Xinlei An |
| author_sort | Hongwei Luo |
| collection | DOAJ |
| description | A PI hydroturbine governing system with saturation and double delays is generated in small perturbation. The nonlinear dynamic behavior of the system is investigated. More precisely, at first, we analyze the stability and Hopf bifurcation of the PI hydroturbine governing system with double delays under the four different cases. Corresponding stability theorem and Hopf bifurcation theorem of the system are obtained at equilibrium points. And then the stability of periodic solution and the direction of the Hopf bifurcation are illustrated by using the normal form method and center manifold theorem. We find out that the stability and direction of the Hopf bifurcation are determined by three parameters. The results have great realistic significance to guarantee the power system frequency stability and improve the stability of the hydropower system. At last, some numerical examples are given to verify the correctness of the theoretical results. |
| format | Article |
| id | doaj-art-acb85e2a4f074eb48ff358fa2a5ae197 |
| institution | OA Journals |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-acb85e2a4f074eb48ff358fa2a5ae1972025-08-20T02:20:23ZengWileyJournal of Control Science and Engineering1687-52491687-52572017-01-01201710.1155/2017/27960902796090Nonlinear Dynamics of a PI Hydroturbine Governing System with Double DelaysHongwei Luo0Jiangang Zhang1Wenju Du2Jiarong Lu3Xinlei An4School of Information Engineering, Gansu Forestry Technological College, Tianshui, Gansu 741020, ChinaSchool of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, ChinaSchool of Traffic and Transportation, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, ChinaSchool of Applied Mathematics, Xinjiang University of Finance & Economics, Wulumuqi, Xinjiang 830000, ChinaSchool of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, ChinaA PI hydroturbine governing system with saturation and double delays is generated in small perturbation. The nonlinear dynamic behavior of the system is investigated. More precisely, at first, we analyze the stability and Hopf bifurcation of the PI hydroturbine governing system with double delays under the four different cases. Corresponding stability theorem and Hopf bifurcation theorem of the system are obtained at equilibrium points. And then the stability of periodic solution and the direction of the Hopf bifurcation are illustrated by using the normal form method and center manifold theorem. We find out that the stability and direction of the Hopf bifurcation are determined by three parameters. The results have great realistic significance to guarantee the power system frequency stability and improve the stability of the hydropower system. At last, some numerical examples are given to verify the correctness of the theoretical results.http://dx.doi.org/10.1155/2017/2796090 |
| spellingShingle | Hongwei Luo Jiangang Zhang Wenju Du Jiarong Lu Xinlei An Nonlinear Dynamics of a PI Hydroturbine Governing System with Double Delays Journal of Control Science and Engineering |
| title | Nonlinear Dynamics of a PI Hydroturbine Governing System with Double Delays |
| title_full | Nonlinear Dynamics of a PI Hydroturbine Governing System with Double Delays |
| title_fullStr | Nonlinear Dynamics of a PI Hydroturbine Governing System with Double Delays |
| title_full_unstemmed | Nonlinear Dynamics of a PI Hydroturbine Governing System with Double Delays |
| title_short | Nonlinear Dynamics of a PI Hydroturbine Governing System with Double Delays |
| title_sort | nonlinear dynamics of a pi hydroturbine governing system with double delays |
| url | http://dx.doi.org/10.1155/2017/2796090 |
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