THÉORIE DES CATASTROPHES CONCERNANT LE FONCTIONNEMENT D'UN MOTEUR ÉLECTRIQUE À COURANT CONTINU À EXCITATION SÉRIE
DOI :
https://doi.org/10.59277/RRST-EE.2023.68.1.15Mots-clés :
Théorie des catastrophes, Systèmes dynamiques, Discontinuités, Singularités, Points d'équilibre, Transitions soudaines, Espace de contrôle, Espace des phases, Pointe de la catastrophe, Moteur électrique à courant continu avec excitation sérieRésumé
Cet article met en lumière la théorie des catastrophes et son application à l'analyse des positions d'équilibre des systèmes électriques dynamiques. Un modèle d'étude a été adopté pour un moteur électrique à courant continu à excitation série fonctionnant en régime transitoire. Du point de vue de la théorie des catastrophes, à partir des équations de fonctionnement du moteur électrique à courant continu avec excitation série, les fonctions décrivant son comportement dans l'espace des phases et l'espace de commande ont été obtenues. Ensuite, les points d'équilibre du modèle choisi ont été déterminés. Aussi, pour une meilleure compréhension des résultats obtenus, l'évolution de ce comportement dans l'espace des phases et l'espace de contrôle a été mise en évidence graphiquement à l'aide du logiciel MATLAB.
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