Robust Control of Wind Turbines by Using Singular Perturbation Method and Linear Parameter Varying Model
The maximum power point tracking problem of variable-speed wind turbine systems is studied in this paper. The wind conversion systems contain both mechanical part and electromagnetic part, which means the systems have time scale property. The wind turbine systems are modeled using singular perturbat...
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Format: | Article |
Language: | English |
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Wiley
2016-01-01
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Series: | Journal of Control Science and Engineering |
Online Access: | http://dx.doi.org/10.1155/2016/2830736 |
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author | Yan Zhang Zhengfan Liu Zhong Yang Haifei Si |
author_facet | Yan Zhang Zhengfan Liu Zhong Yang Haifei Si |
author_sort | Yan Zhang |
collection | DOAJ |
description | The maximum power point tracking problem of variable-speed wind turbine systems is studied in this paper. The wind conversion systems contain both mechanical part and electromagnetic part, which means the systems have time scale property. The wind turbine systems are modeled using singular perturbation methodology. A linear parameter varying (LPV) model is developed to approximate the nonlinear singularly perturbed model. Then stability and robust properties of the open-loop linear singularly perturbed system are analyzed using linear matrix inequalities (LMIs). An algorithm of designing a stabilizing state-feedback controller is proposed which can guarantee the robust property of the closed-loop system. Two numerical examples are provided to demonstrate the effectiveness of the control scheme proposed. |
format | Article |
id | doaj-art-5fa335f841d3407ca2b0688201144da2 |
institution | Kabale University |
issn | 1687-5249 1687-5257 |
language | English |
publishDate | 2016-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Control Science and Engineering |
spelling | doaj-art-5fa335f841d3407ca2b0688201144da22025-02-03T06:05:00ZengWileyJournal of Control Science and Engineering1687-52491687-52572016-01-01201610.1155/2016/28307362830736Robust Control of Wind Turbines by Using Singular Perturbation Method and Linear Parameter Varying ModelYan Zhang0Zhengfan Liu1Zhong Yang2Haifei Si3Jinling Institute of Technology, Nanjing 211196, ChinaNorth Information Control Group Limited Company, Nanjing 211153, ChinaJinling Institute of Technology, Nanjing 211196, ChinaJinling Institute of Technology, Nanjing 211196, ChinaThe maximum power point tracking problem of variable-speed wind turbine systems is studied in this paper. The wind conversion systems contain both mechanical part and electromagnetic part, which means the systems have time scale property. The wind turbine systems are modeled using singular perturbation methodology. A linear parameter varying (LPV) model is developed to approximate the nonlinear singularly perturbed model. Then stability and robust properties of the open-loop linear singularly perturbed system are analyzed using linear matrix inequalities (LMIs). An algorithm of designing a stabilizing state-feedback controller is proposed which can guarantee the robust property of the closed-loop system. Two numerical examples are provided to demonstrate the effectiveness of the control scheme proposed.http://dx.doi.org/10.1155/2016/2830736 |
spellingShingle | Yan Zhang Zhengfan Liu Zhong Yang Haifei Si Robust Control of Wind Turbines by Using Singular Perturbation Method and Linear Parameter Varying Model Journal of Control Science and Engineering |
title | Robust Control of Wind Turbines by Using Singular Perturbation Method and Linear Parameter Varying Model |
title_full | Robust Control of Wind Turbines by Using Singular Perturbation Method and Linear Parameter Varying Model |
title_fullStr | Robust Control of Wind Turbines by Using Singular Perturbation Method and Linear Parameter Varying Model |
title_full_unstemmed | Robust Control of Wind Turbines by Using Singular Perturbation Method and Linear Parameter Varying Model |
title_short | Robust Control of Wind Turbines by Using Singular Perturbation Method and Linear Parameter Varying Model |
title_sort | robust control of wind turbines by using singular perturbation method and linear parameter varying model |
url | http://dx.doi.org/10.1155/2016/2830736 |
work_keys_str_mv | AT yanzhang robustcontrolofwindturbinesbyusingsingularperturbationmethodandlinearparametervaryingmodel AT zhengfanliu robustcontrolofwindturbinesbyusingsingularperturbationmethodandlinearparametervaryingmodel AT zhongyang robustcontrolofwindturbinesbyusingsingularperturbationmethodandlinearparametervaryingmodel AT haifeisi robustcontrolofwindturbinesbyusingsingularperturbationmethodandlinearparametervaryingmodel |