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

Aceng Sambas; Ardashir Mohammadzadeh; Sundarapandian Vaidyanathan; Ahmad Faisal Mohamad Ayob; Amiral Aziz; Mohamad Afendee Mohamed; Ibrahim Mohammed Sulaiman; Mohamad Arif Awang Nawi; Aceng Sambas; Ardashir Mohammadzadeh; Sundarapandian Vaidyanathan; Ahmad Faisal Mohamad Ayob; Amiral Aziz; Mohamad Afendee Mohamed; Ibrahim Mohammed Sulaiman; Mohamad Arif Awang Nawi

doi:10.3934/math.2023285

AIMS Mathematics

2023, Volume 8, Issue 3: 5670-5686. doi: 10.3934/math.2023285

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Research article

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

1.
Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Tasikmalaya, Jawa Barat 46196, Indonesia
2.
Electrical Engineering Department, University of Bonab, Bonab, Iran
3.
Centre for Control Systems, Vel Tech University, Vel Nagar, Avadi, Chennai 600 062, Tamil Nadu
4.
Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu, Malaysia
5.
Research Center for Conversion and Conservation Energy-National Research and Innovation Agency Republic of Indonesia (BRIN), South Tangerang 15314, Indonesia
6.
Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Terengganu, Malaysia
7.
School of Quantitative Sciences, Universiti Utara Malaysia, Sintok, Kedah 06010, Malaysia
8.
School of Dental Sciences, Health Campus, Universiti Sains Malaysia, Kelantan 16150, Malaysia

Received: 04 October 2022 Revised: 08 December 2022 Accepted: 13 December 2022 Published: 22 December 2022
MSC : 34A07, 34A34, 34H10, 34K23

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.
- chaotic system,
- PMSG,
- dynamical analysis,
- turbine,
- adaptive type-2 fuzzy controller
Citation: Aceng Sambas, Ardashir Mohammadzadeh, Sundarapandian Vaidyanathan, Ahmad Faisal Mohamad Ayob, Amiral Aziz, Mohamad Afendee Mohamed, Ibrahim Mohammed Sulaiman, Mohamad Arif Awang Nawi. Investigation of chaotic behavior and adaptive type-2 fuzzy controller approach for Permanent Magnet Synchronous Generator (PMSG) wind turbine system[J]. AIMS Mathematics, 2023, 8(3): 5670-5686. doi: 10.3934/math.2023285

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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.

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