Abstract

A nonlinear and robust adaptive backstepping based maximum torque per ampere speed sensorless control scheme with fully uncertain parameters is proposed for a permanent magnet-assisted synchronous reluctance motor. In the design of the controller, the relation to d-q-axis currents constrained by maximum torque per ampere control is firstly derived. Then, a fully adaptive backstepping control method is employed to design control scenario and the stability of the proposed control scenario is proven through a proper Lyapunov function candidate. The derived controller guarantees tracking the reference signals of change asymptotically and has good robustness against the uncertainties of motor parameters and the perturbation of load torque. Moreover, in allusion to the strong nonlinearity of permanent magnet-assisted synchronous reluctance motor, an active flux based improved reduced-order Luenberger speed observer is presented to estimate the speed. Digital simulations testify the feasibility and applicability of the presented control scheme.

Highlights

  • Drive system is vital for various industrial applications

  • One of the important trends for the drive field is that direct current (DC) motor drive systems are being replaced by alternate current (AC) motor drive system due to low cost, convenient control, and superior performance of AC motor drive systems

  • The synchronous change of speed and frequency for PMa-SynRM makes speed be regulated by adjusting voltage or frequency, which leads to three commonly used approaches to control: voltage-to-frequency control (VFC), direct torque control (DTC), and vector control (VC)

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Summary

Introduction

Drive system is vital for various industrial applications. One of the important trends for the drive field is that direct current (DC) motor drive systems are being replaced by alternate current (AC) motor drive system due to low cost, convenient control, and superior performance of AC motor drive systems. The innovation of the study is firstly to propose a new nonlinear and fully adaptive BC approach with no problems of overparameterization and singularity for an uncertain PMa-SynRM and (A1) is excluded. Previous researches such as that in [21] cannot resolve full parameter uncertainties, and the problems of overparameterization and singularity cannot be complete to be coped with. An active flux based improved reduced-order Luenberger speed observer is developed to estimate the speed of PMa-SynRM, resisting its strong and high nonlinearity of dynamic model.

Dynamics of PMa-SynRM with Fully Uncertain Parameters
Parameter Constraint Relation in MTPA Control
Nonlinear Adaptive Backstepping Controller
Ld kded
Stability Analysis
Proposed Luenberger Speed Observer
Digital Simulation Analysis and Discussion
Conclusions
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