Multistability and Hidden Attractors in the Dynamics of Permanent Magnet Synchronous Motor

2019 ◽  
Vol 29 (04) ◽  
pp. 1950056 ◽  
Author(s):  
Jay Prakash Singh ◽  
Binoy Krishna Roy ◽  
Nikolay V. Kuznetsov
Keyword(s):  
Permanent Magnet ◽  
Sliding Mode ◽  
Chaotic Behavior ◽  
Permanent Magnet Synchronous Motor ◽  
Synchronous Motor ◽  
Adaptive Sliding Mode Control ◽  
Stable Node ◽  
Control Input ◽  
Hidden Attractors ◽  
Load Torque

This paper attempts to find some interesting and unique properties in the dynamics of a permanent magnet synchronous motor (PMSM). When compared with the existing literature on the dynamics of a PMSM, we find some interesting and unique behaviors which have not been reported so far. These are (i) occurrence of multistability, (ii) existence of hidden attractors and (iii) equilibrium point with two stable node-foci and one saddle point index-1. The above-said unique behaviors in the dynamics of a PMSM are not found in the literature to the best of authors’ knowledge. Three different cases with (a) [Formula: see text] (voltage/frequency) control, (b) constant load torque and (c) constant direct and quadrature-axis voltage, and load torque are considered to show the multistability in the dynamics of a PMSM. The multistability is confirmed by using the bifurcation analysis. In another case, when the load torque is selected as a feedback of quadrature-axis voltage, the system depicts hidden attractors (point, periodic and transient chaotic). An adaptive sliding mode control is designed to control the hidden transient chaotic behavior of the system. The simulation results confirm the suppression of the transient chaotic attractors with smaller stabilization time and chattering free control input.

Synergetic control of permanent magnet synchronous motor based on load torque observer

2018 ◽  
Vol 233 (8) ◽  
pp. 980-993 ◽  
Author(s):  
Tao Wang ◽  
Jikun Li ◽  
Yuwen Liu
Keyword(s):  
Control Theory ◽  
Permanent Magnet ◽  
High Efficiency ◽  
Sliding Mode ◽  
Permanent Magnet Synchronous Motor ◽  
Synchronous Motor ◽  
Moment Of Inertia ◽  
Load Torque ◽  
Synergetic Control ◽  
The Moment

The control of permanent magnet synchronous motor has become an important research, and many control methods have been developed because of its high efficiency and energy-saving characteristics. This article proposes a new motor control approach based on synergetic approach in control theory (SACT) and sliding-mode control (SMC). Since the load torque of the motor will change, the moment of inertia will increase in the experiment. The load torque is estimated by the sliding-mode observer. The moment of inertia is calculated by the least squares method by adding a forgetting factor. The practical application of synergetic control theory broadens the train of thought to meet the demand of high-performance motor drive further. The simulation and experimental results show that this control scheme in this article can improve the transient response and system robustness of dynamic systems.

Sensorless control scheme based on sliding modes for interior permanent magnet synchronous motor

2021 ◽  
pp. 095965182110580
Author(s):  
Enrique Alvaro-Mendoza ◽  
Oscar S Salas-Peña ◽  
Jesús De León-Morales
Keyword(s):  
Permanent Magnet ◽  
Sliding Mode ◽  
Permanent Magnet Synchronous Motor ◽  
Synchronous Motor ◽  
Observer Design ◽  
Rotor Speed ◽  
Parameter Uncertainties ◽  
Load Torque ◽  
Interior Permanent Magnet ◽  
And Performance

In this article, a sensorless speed control design for the interior permanent magnet synchronous motor based on sliding mode approach is proposed. The control objective is to drive the rotor speed to desired reference despite load torque disturbances and parameter uncertainties. The proposed control strategy combines a Sliding Mode Controller with an Adaptive Interconnected Observer design based on sliding mode techniques, which allows to estimate the rotor speed, the stator resistance and the load torque. Furthermore, experimental results, including a comparative study against schemes from literature, illustrate the robustness and performance of proposed approach.

An improved sliding-mode observer-based equivalent-input-disturbance approach for permanent magnet synchronous motor drives with faults in current measurement circuits

2021 ◽  
pp. 014233122110025
Author(s):  
Gang Huang ◽  
Wei Huang ◽  
Zhengtan Li ◽  
Jiajun Li ◽  
Jing He ◽  
...  
Keyword(s):  
Permanent Magnet ◽  
Sliding Mode ◽  
Permanent Magnet Synchronous Motor ◽  
Synchronous Motor ◽  
Current Measurement ◽  
Sliding Mode Observer ◽  
Stability And Convergence ◽  
Control Input ◽  
Input Disturbance ◽  
Equivalent Input Disturbance

The reliability of permanent magnet synchronous motor (PMSM) systems is very important in high-precision industrial drives. However, disturbance or sensor fault may cause the performance degradation of the system. This paper presents an improved sliding-mode-observer (SMO)-based equivalent-input-disturbance (EID) approach for the rejection of faults in current measurement circuits of a PMSM drive. A system model, which contains faults in current measurement circuits, is first constructed by using EIDs in control input circuits. Then, an improved SMO is designed to estimate the equivalent-input-faults. The effect of the faults on the system is rejected based on the EID theory. Moreover, the global stability and convergence analysis is also provided. Experiments and comparisons demonstrate the effectiveness of the method.

An equivalent-input-disturbance approach for current sensor faults estimation and rejection in permanent magnet synchronous motor drives

2019 ◽  
Vol 42 (3) ◽  
pp. 365-373 ◽  
Author(s):  
Gang Huang ◽  
Zhengtan Li ◽  
Edwardo F Fukushima ◽  
Changfan Zhang ◽  
Jing He
Keyword(s):  
Permanent Magnet ◽  
Sliding Mode ◽  
Permanent Magnet Synchronous Motor ◽  
Synchronous Motor ◽  
Drive System ◽  
Current Sensor ◽  
Control Input ◽  
Sensor Faults ◽  
Input Disturbance ◽  
Equivalent Input Disturbance

Current sensor is commonly used in a permanent magnet synchronous motor (PMSM) drive system. Occurrence of unexpected current sensor faults may cause feedback currents deviation and system degradation, which can be extremely detrimental to the safety of the industrial system with PMSM. This paper presents an estimation and rejection strategy of current sensor faults for a PMSM drive system. Sensor faults in current measurement circuits are treated as system disturbances by constructing a new system plant. A sliding mode observer and an improved equivalent-input-disturbance (EID) estimator are designed for the plant based on the EID theory. Accurate estimates of the current sensor equivalent-input-faults are thus obtained readily. Faults rejection is performed by subtracting the equivalent-input-faults from the control input. This allows an existing controller in a PMSM system to continue to function normally even a current sensor fault occurs. An existence analysis and stability proof are also discussed in detail for the system. Finally, different faults examples and a hardware-in-the-loop experiment are given to demonstrate the efficiency of the method.

scholarly journals Quasi-Sliding Mode Control of Chaos in Permanent Magnet Synchronous Motor

2011 ◽  
Vol 2011 ◽  
pp. 1-10 ◽  
Author(s):  
Cheng-Fang Huang ◽  
Jui-Sheng Lin ◽  
Teh-Lu Liao ◽  
Chih-Yung Chen ◽  
Jun-Juh Yan
Keyword(s):  
Sliding Mode Control ◽  
Permanent Magnet ◽  
Sliding Mode ◽  
Design Method ◽  
Permanent Magnet Synchronous Motor ◽  
Synchronous Motor ◽  
Control Input ◽  
Continuous Control ◽  
Mode Control ◽  
System States

A quasi-sliding mode control (QSMC) to suppress chaos for a permanent magnet synchronous motor (PMSM) with parameters fall into a certain area is proposed in this paper. Especially, based on the new concept of QSMC, continuous control input is obtained to avoid chattering phenomenon. As expected, the system states can be driven to zero or into a predictable and adjustable bound even when uncertainties are present. Numerical simulations demonstrate the validity of the proposed QSMC design method.

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