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Research Article | Open Access

Investigation of chaotic behavior and adaptive type-2 fuzzy controller approach for Permanent Magnet Synchronous Generator (PMSG) wind turbine system

Aceng Sambas1,4, Ardashir Mohammadzadeh2, Sundarapandian Vaidyanathan3, Ahmad Faisal Mohamad Ayob4, Amiral Aziz5, Mohamad Afendee Mohamed6( ), Ibrahim Mohammed Sulaiman7, Mohamad Arif Awang Nawi8( )
Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Tasikmalaya, Jawa Barat 46196, Indonesia
Electrical Engineering Department, University of Bonab, Bonab, Iran
Centre for Control Systems, Vel Tech University, Vel Nagar, Avadi, Chennai 600 062, Tamil Nadu
Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu, Malaysia
Research Center for Conversion and Conservation Energy-National Research and Innovation Agency Republic of Indonesia (BRIN), South Tangerang 15314, Indonesia
Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Terengganu, Malaysia
School of Quantitative Sciences, Universiti Utara Malaysia, Sintok, Kedah 06010, Malaysia
School of Dental Sciences, Health Campus, Universiti Sains Malaysia, Kelantan 16150, Malaysia
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Abstract

This article begins with a dynamical analysis of the Permanent Magnet Synchronous Generator (PMSG) in a wind turbine system with quadratic nonlinearities. The dynamical behaviors of the PMSG are analyzed and examined using Poincare map, bifurcation model, and Lyapunov spectrum. Finally, an adaptive type-2 fuzzy controller is designed for different flow configurations of the PMSG. An analysis of the performance for the proposed approach is evaluated for effectiveness by simulating the PMSG. In addition, the proposed controller uses advantages of adaptive type-2 fuzzy controller in handling dynamic uncertainties to approximate unknown non-linear actions.

Keywords

chaotic systemPMSGdynamical analysisturbineadaptive type-2 fuzzy controller
CLC number: 34A07, 34A34, 34H10, 34K23

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AIMS Mathematics
Volume 8 Issue 3,
March 2023
Pages 5670-5686
DOI: 10.3934/math.2023285

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Sambas A, Mohammadzadeh A, Vaidyanathan S, et al. Investigation of chaotic behavior and adaptive type-2 fuzzy controller approach for Permanent Magnet Synchronous Generator (PMSG) wind turbine system. AIMS Mathematics, 2023, 8(3): 5670-5686. https://doi.org/10.3934/math.2023285

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Received: 04 October 2022
Revised: 08 December 2022
Accepted: 13 December 2022
Published: 15 March 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)