AustralieFrV1, Main, Exploration, bibRecord, 00D245

Indirect field-oriented control of induction motors is robustly globally stable

Identifieur interne : 00D245 ( Main/Exploration ); précédent : 00D244; suivant : 00D246

Indirect field-oriented control of induction motors is robustly globally stable

Auteurs : Paul A. S. De Wit [Pays-Bas] ; Romeo Ortega [Pays-Bas, France] ; Iven Mareels [Australie]

Source :

Automatica [ 0005-1098 ] ; 1996.

RBID : ISTEX:208896BB63DA780F15A6BFD05483C484CA0B7285

Descripteurs français

Pascal (Inist)
- Analyse système, Commande non linéaire, Entraînement électrique, Machine induction, Orientation champ, Stabilité asymptotique, Stabilité robuste, Système commande.

English descriptors

Abstract

Abstract: Field orientation, in one of its many forms, is an established control method for high dynamic performance AC drives. In particular, for induction motors, indirect fieldoriented control is a simple and highly reliable scheme which has become the de facto industry standard. In spite of its widespread popularity no rigorous stability proof for this controller was available in the literature. In a recent paper (Ortega et al, 1995) [Ortega, R., D. Taoutaou, R. Rabinovici and J. P. Vilain (1995). On field oriented and passivity-based control of induction motors: downward compatibility. In Proc. IFAC NOLCOS Conf., Tahoe City, CA.] we have shown that, in speed regulation tasks with constant load torque and current-fed machines, indirect field-oriented control is globally asymptotically stable provided the motor rotor resistance is exactly known. It is well known that this parameter is subject to significant changes during the machine operation, hence the question of the robustness of this stability result remained to be established. In this paper we provide some answers to this question. First, we use basic input-output theory to derive sufficient conditions on the motor and controller parameters for global boundedness of all solutions. Then, we give necessary and sufficient conditions for the uniqueness of the equilibrium point of the (nonlinear) closed loop, which interestingly enough allows for a 200% error in the rotor resistance estimate. Finally, we give conditions on the motor and controller parameters, and the speed and rotor flux norm reference values that insure (global or local) asymptotic stability or instability of the equilibrium. This analysis is based on a nonlinear change of coordinates and classical Lyapunov stability theory.

Url:

https://api.istex.fr/document/208896BB63DA780F15A6BFD05483C484CA0B7285/fulltext/pdf

DOI: 10.1016/0005-1098(96)00070-2

Affiliations:

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<front><div type="abstract" xml:lang="en">Abstract: Field orientation, in one of its many forms, is an established control method for high dynamic performance AC drives. In particular, for induction motors, indirect fieldoriented control is a simple and highly reliable scheme which has become the de facto industry standard. In spite of its widespread popularity no rigorous stability proof for this controller was available in the literature. In a recent paper (Ortega et al, 1995) [Ortega, R., D. Taoutaou, R. Rabinovici and J. P. Vilain (1995). On field oriented and passivity-based control of induction motors: downward compatibility. In Proc. IFAC NOLCOS Conf., Tahoe City, CA.] we have shown that, in speed regulation tasks with constant load torque and current-fed machines, indirect field-oriented control is globally asymptotically stable provided the motor rotor resistance is exactly known. It is well known that this parameter is subject to significant changes during the machine operation, hence the question of the robustness of this stability result remained to be established. In this paper we provide some answers to this question. First, we use basic input-output theory to derive sufficient conditions on the motor and controller parameters for global boundedness of all solutions. Then, we give necessary and sufficient conditions for the uniqueness of the equilibrium point of the (nonlinear) closed loop, which interestingly enough allows for a 200% error in the rotor resistance estimate. Finally, we give conditions on the motor and controller parameters, and the speed and rotor flux norm reference values that insure (global or local) asymptotic stability or instability of the equilibrium. This analysis is based on a nonlinear change of coordinates and classical Lyapunov stability theory.</div>
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Indirect field-oriented control of induction motors is robustly globally stable

Indirect field-oriented control of induction motors is robustly globally stable

Source :

Descripteurs français

English descriptors

Abstract

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