Dual-Time-Scale Sliding Mode Control for Surface-Mounted Permanent Magnet Synchronous Motors

The permanent magnet synchronous motors (PMSMs) as the completely symmetrical three-phase machines, which are usually driven by symmetrical voltage signals. Unfortunately, a PMSM system usually suffers from the different lumped disturbances, such as internal parametric perturbations and external loa...

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Main Authors: Zhiyuan Che, Haitao Yu, Saleh Mobayen, Murad Ali, Chunyu Yang, Fayez F. M. El-Sousy
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/14/9/1835
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author Zhiyuan Che
Haitao Yu
Saleh Mobayen
Murad Ali
Chunyu Yang
Fayez F. M. El-Sousy
author_facet Zhiyuan Che
Haitao Yu
Saleh Mobayen
Murad Ali
Chunyu Yang
Fayez F. M. El-Sousy
author_sort Zhiyuan Che
collection DOAJ
description The permanent magnet synchronous motors (PMSMs) as the completely symmetrical three-phase machines, which are usually driven by symmetrical voltage signals. Unfortunately, a PMSM system usually suffers from the different lumped disturbances, such as internal parametric perturbations and external load torques, the speed regulation problem should be addressed within the different operation situations. Characterizing by the current variation speed of the motor winding is much faster than that of the mechanical dynamic velocity, a dual-time-scale sliding mode control (SMC) method for the surface-mounted PMSMs is proposed in this paper. Firstly, the mathematical model of PMSMs is established in the two-phase synchronous rotating orthogonal reference coordinate system, and the slow and fast variation subsystems are obtained based on the quasi-steady-state theory. Secondly, a tracking differentiator (TD)-based and exponential reaching law-based sliding mode controllers are individually designed within dual-time-scale, respectively. As a result, the eventual SMC strategy is presented, and the stability of control system is analyzed by applying the Lyapunov stability theory. The main contribution of this study is to present an alternative control framework for the PMSMs servo system, where the dual-time-scale characteristic is involved, and thus a non-cascade control structure that different from the traditional drive strategy is proposed in the motor community. Finally, the model of whole system is built and carried out on the simulation platform. Research results demonstrate that the presented servo control system can accurately track the reference angle velocity signal, while the strong robustness and fast response performance are guaranteed in the presence of external disturbances. In addition, the three-phase current transient response values are completely symmetrical with the rapid adjustment characteristic.
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spelling doaj.art-c723657639aa4617952cad9d012b70212023-11-23T19:11:42ZengMDPI AGSymmetry2073-89942022-09-01149183510.3390/sym14091835Dual-Time-Scale Sliding Mode Control for Surface-Mounted Permanent Magnet Synchronous MotorsZhiyuan Che0Haitao Yu1Saleh Mobayen2Murad Ali3Chunyu Yang4Fayez F. M. El-Sousy5School of Electrical Engineering, Southeast University, Nanjing 210096, ChinaSchool of Electrical Engineering, Southeast University, Nanjing 210096, ChinaMultidisciplinary Center for Infrastructure Engineering, Shenyang University of Technology, Shenyang 110870, ChinaSchool of Electrical Engineering, Southeast University, Nanjing 210096, ChinaSchool of Information and Control Engineering, China University of Mining and Technology, Xuzhou 221116, ChinaDepartment of Electrical Engineering, Prince Sattam Bin Abdulaziz University, Al Kharj 16278, Saudi ArabiaThe permanent magnet synchronous motors (PMSMs) as the completely symmetrical three-phase machines, which are usually driven by symmetrical voltage signals. Unfortunately, a PMSM system usually suffers from the different lumped disturbances, such as internal parametric perturbations and external load torques, the speed regulation problem should be addressed within the different operation situations. Characterizing by the current variation speed of the motor winding is much faster than that of the mechanical dynamic velocity, a dual-time-scale sliding mode control (SMC) method for the surface-mounted PMSMs is proposed in this paper. Firstly, the mathematical model of PMSMs is established in the two-phase synchronous rotating orthogonal reference coordinate system, and the slow and fast variation subsystems are obtained based on the quasi-steady-state theory. Secondly, a tracking differentiator (TD)-based and exponential reaching law-based sliding mode controllers are individually designed within dual-time-scale, respectively. As a result, the eventual SMC strategy is presented, and the stability of control system is analyzed by applying the Lyapunov stability theory. The main contribution of this study is to present an alternative control framework for the PMSMs servo system, where the dual-time-scale characteristic is involved, and thus a non-cascade control structure that different from the traditional drive strategy is proposed in the motor community. Finally, the model of whole system is built and carried out on the simulation platform. Research results demonstrate that the presented servo control system can accurately track the reference angle velocity signal, while the strong robustness and fast response performance are guaranteed in the presence of external disturbances. In addition, the three-phase current transient response values are completely symmetrical with the rapid adjustment characteristic.https://www.mdpi.com/2073-8994/14/9/1835permanent magnet synchronous motors (PMSMs)sliding mode control (SMC)dual-time-scalesymmetricalLyapunov stabilitytracking differentiator (TD)
spellingShingle Zhiyuan Che
Haitao Yu
Saleh Mobayen
Murad Ali
Chunyu Yang
Fayez F. M. El-Sousy
Dual-Time-Scale Sliding Mode Control for Surface-Mounted Permanent Magnet Synchronous Motors
Symmetry
permanent magnet synchronous motors (PMSMs)
sliding mode control (SMC)
dual-time-scale
symmetrical
Lyapunov stability
tracking differentiator (TD)
title Dual-Time-Scale Sliding Mode Control for Surface-Mounted Permanent Magnet Synchronous Motors
title_full Dual-Time-Scale Sliding Mode Control for Surface-Mounted Permanent Magnet Synchronous Motors
title_fullStr Dual-Time-Scale Sliding Mode Control for Surface-Mounted Permanent Magnet Synchronous Motors
title_full_unstemmed Dual-Time-Scale Sliding Mode Control for Surface-Mounted Permanent Magnet Synchronous Motors
title_short Dual-Time-Scale Sliding Mode Control for Surface-Mounted Permanent Magnet Synchronous Motors
title_sort dual time scale sliding mode control for surface mounted permanent magnet synchronous motors
topic permanent magnet synchronous motors (PMSMs)
sliding mode control (SMC)
dual-time-scale
symmetrical
Lyapunov stability
tracking differentiator (TD)
url https://www.mdpi.com/2073-8994/14/9/1835
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