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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Main Authors: Yan Zhang, Zhengfan Liu, Zhong Yang, Haifei Si
Format: Article
Language:English
Published: Wiley 2016-01-01
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