Linear parameter varying sensorless torque control for singularly perturbed induction motor with torque and flux observe
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ORIGINAL PAPER
Linear parameter varying sensorless torque control for singularly perturbed induction motor with torque and flux observers Dalila Khamari1 · Idriss Benlaloui1,2 · Sabir Ouchen3
· Abdesslem Makouf1 · Larbi Chrifi Alaoui4
Received: 6 February 2020 / Accepted: 17 August 2020 © The Author(s) 2020
Abstract In this paper, a new approach being different from the concept of DTC and IFOC for a robust torque control design for induction motor is addressed. The design is based on the framework of singularly perturbed system theory and linear varying parameter systems. In these systems, the rotor flux is considered to be a time-varying parameter in order to guarantee a robust torque control with LPV flux observer with respect to the speed and resistance variations. In fact, this observer is designed to estimate the rotor flux as well as an MRAS observer is introduced to estimate the mechanical speed and rotor resistance. The main feature of this proposed structure is the enhancement of robustness with flux, speed and rotor resistance variation. This improvement leads to a considerable decrease of the torque ripples and ensures the stability for the entire operating range. The obtained simulations and experimental results are used to validate the effectiveness of the proposed control strategy. Keywords H∞ LPV controller · Singularly perturbed system · LMI · MRAS observer · Induction motor
Abbreviations ωs ωr ωc J f Cm ∼ ˆ
B
Rotor speed (rd/s) Stator current frequency (rd/s) Induced rotor current frequency (rd/s) Injected rotor current frequency (rd/s) In Inertia Coefficient of viscous Maximal electromagnetic torque Symbol indicating measured value Symbol indicating the estimated value Sabir Ouchen [email protected] Dalila Khamari [email protected] Idriss Benlaloui [email protected] Larbi Chrifi Alaoui [email protected]
1
LSPIE Laboratory, Electrical Engineering Department, University of Batna 2, Batna, Algeria
2
Université 8 mai 1945, Guelma, Algeria
3
PowerElectronics and Electrical Drives Laboratory, Aalen University, Aalen, Germany
4
University of Picardie Jules Verne, Cuffies, France
∗ IM MRAS LPV s, r d, q ¯x ¯x ¯x∗ Rs, Rr Ls, Lr τs , τr σ M P ω
Symbol indicating the command value Induction motor Model reference adaptive system Linear parameter varying Rotor and stator indices Direct and quadrate indices for orthogonal components Variable complex such as: ¯x _e [¯x] + j·_m[¯x] with j2 − 1 Represents either a voltage as ¯u, a current as¯ior a flux as ¯φ Complex conjugate Stator and rotor resistances Stator and rotor inductances Stator and rotor time-constants (τsr Ls, r/Rs, r) Leakage flux total coefficient (σ 1 − M2/LrLs) Mutual inductance Number of pole pairs Mechanical rotor frequency (rd/s)
1 Introduction Research interest in induction motor sensor less drives has grown significantly over the past years due to their advantages such as mechanical robustness, simple construction
123
Electrical Engineering
and low maintenance. Since the dynamic performa
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