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...
Main Authors: | , , , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2022-09-01
|
Series: | Symmetry |
Subjects: | |
Online Access: | https://www.mdpi.com/2073-8994/14/9/1835 |
_version_ | 1797482035183353856 |
---|---|
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. |
first_indexed | 2024-03-09T22:22:33Z |
format | Article |
id | doaj.art-c723657639aa4617952cad9d012b7021 |
institution | Directory Open Access Journal |
issn | 2073-8994 |
language | English |
last_indexed | 2024-03-09T22:22:33Z |
publishDate | 2022-09-01 |
publisher | MDPI AG |
record_format | Article |
series | Symmetry |
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 |
work_keys_str_mv | AT zhiyuanche dualtimescaleslidingmodecontrolforsurfacemountedpermanentmagnetsynchronousmotors AT haitaoyu dualtimescaleslidingmodecontrolforsurfacemountedpermanentmagnetsynchronousmotors AT salehmobayen dualtimescaleslidingmodecontrolforsurfacemountedpermanentmagnetsynchronousmotors AT muradali dualtimescaleslidingmodecontrolforsurfacemountedpermanentmagnetsynchronousmotors AT chunyuyang dualtimescaleslidingmodecontrolforsurfacemountedpermanentmagnetsynchronousmotors AT fayezfmelsousy dualtimescaleslidingmodecontrolforsurfacemountedpermanentmagnetsynchronousmotors |