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Modeling of the squirrel cage induction machines in presence of rotor faults

Identifieur interne : 000225 ( Hal/Corpus ); précédent : 000224; suivant : 000226

Modeling of the squirrel cage induction machines in presence of rotor faults

Auteurs : Gilles Houdouin

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RBID : Hal:tel-00830866

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English descriptors

Abstract

This work of PhD thesis is a contribution to the modeling of the squirrel cage induction machines in presence of rotor faults. A preliminary study makes it possible to point out the formulations of the various magnetomotive forces, of the air-gap permeance in the case of rectangular slots, as well as air-gap flux density, and to deduce their various harmonic contents with a high precision. This study also makes it possible to quantify the rotor faults influence on the harmonics of the stator currents, and to present some diagnosis approaches using the failure signature in the currents, the power and the electromagnetic couple. The contribution of this work concerns mainly three points: ƒ An original, analytical and parametric modeling of the air-gap permeance in the case of a doubly slotted air-gap and taking into account the actual geometry of the slots. ƒ The calculation of the mutual inductances and their derivatives, and their numerical handling, allowing a very satisfactory precision and a very good computing time to precision ratio. ƒ The development and implementation of a software dedicated to the modeling of the induction machines in presence of defaults. This software (SIMUMAS) integrates the two above points, and is based on an algorithm using a variable topology strategy which allows an automatic adjustment of the dimension of the machine differential equations system. The simulation results obtained with this software have been helpful to study the faults signature in the main quantities such as the stator currents, the stator current vector module as well as the air-gap flux density. Also, these simulation results have been in a good concordance with the experimental results.

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Le document en format XML

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<abstract xml:lang="en">This work of PhD thesis is a contribution to the modeling of the squirrel cage induction machines in presence of rotor faults. A preliminary study makes it possible to point out the formulations of the various magnetomotive forces, of the air-gap permeance in the case of rectangular slots, as well as air-gap flux density, and to deduce their various harmonic contents with a high precision. This study also makes it possible to quantify the rotor faults influence on the harmonics of the stator currents, and to present some diagnosis approaches using the failure signature in the currents, the power and the electromagnetic couple. The contribution of this work concerns mainly three points: ƒ An original, analytical and parametric modeling of the air-gap permeance in the case of a doubly slotted air-gap and taking into account the actual geometry of the slots. ƒ The calculation of the mutual inductances and their derivatives, and their numerical handling, allowing a very satisfactory precision and a very good computing time to precision ratio. ƒ The development and implementation of a software dedicated to the modeling of the induction machines in presence of defaults. This software (SIMUMAS) integrates the two above points, and is based on an algorithm using a variable topology strategy which allows an automatic adjustment of the dimension of the machine differential equations system. The simulation results obtained with this software have been helpful to study the faults signature in the main quantities such as the stator currents, the stator current vector module as well as the air-gap flux density. Also, these simulation results have been in a good concordance with the experimental results.</abstract>
<abstract xml:lang="fr">Ce travail de thèse est une contribution à la modélisation des machines asynchrones à cage en présence de défauts rotoriques. Une étude préliminaire permet de rappeler les formulations des différentes forces magnétomotrices, de la perméance d'entrefer dans le cas d'encoches rectangulaires, ainsi que de l'induction d'entrefer, et d'en déduire avec précision les différents contenus harmoniques. Cette étude permet également de quantifier les contributions des défauts du rotor sur les harmoniques du courant statorique, et de présenter les méthodes permettant d'exploiter ce contenu harmonique dans les courants, la puissance et le couple électromagnétique. La contribution du travail porte essentiellement sur trois points : ƒ Une modélisation originale, analytique et paramétrique, de la perméance d'entrefer, pour un entrefer doublement encoché, prenant en compte la géométrie réelle des encoches. ƒ Le calcul des mutuelles inductances et de leurs dérivées, et leur implémentation numérique, permettant une précision très satisfaisante et un très bon rapport entre temps de calcul et précision des résultats. ƒ Le développement d'un logiciel dédié à la modélisation des machines asynchrones en présence de défauts. Ce logiciel (SIMUMAS) intègre les deux points ci-dessus, et est construit sur un algorithme d'introduction des défauts rotoriques à topologie variable, avec ajustement automatique des dimensions du système d'équations à résoudre. Les résultats obtenus avec ce logiciel sont explicités à l'aide de simulations sur plusieurs grandeurs de la machine (courants statoriques, induction d'entrefer, module du vecteur courant statorique), et ont été validés par l'expérimentation.</abstract>
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