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Resumen

 

THREE-PHASE INDUCTION MOTOR MODELING

MODELACIÓN DEL MOTOR DE INDUCCIÓN TRIFASICO
PhD. Aldo Pardo García.
MSc. Jorge Luis Díaz Rodríguez.

Abstract: This work deals with the mathematical modeling of the three-phase induction motor, starting from its physical model. The flux, currents and voltages equations were obtained, from mathematical transformations; the torque and the mechanical equation are also obtained. These equations are expressed in different coordinated systems; obtain different expressions of the same model, depend on the selected coordinate system. Finally, the mathematical model was expressed in the state variables notation, the most
suitable representation to perform simulation, and in an arbitrary coordinate system that summarizes the whole previous analysis. Also was present a mathematical model with the magnetic saturation including non lineal phenomena in the model.

Resumen: En este trabajo se obtiene el modelo matemático del motor trifásico de inducción, partiendo de su modelo físico. Se obtienen las ecuaciones de los flujos, corrientes y voltajes, a partir de transformaciones matemáticas, también se obtienen la ecuación del par y la ecuación mecánica. Estas ecuaciones se expresan en diferentes sistemas de coordenadas, obteniéndose deferentes expresiones para el mismo modelo en dependencia del sistema de coordenadas seleccionado. Finalmente se expresa el modelo matemático en la notación de variables de estado, representación más cómoda para efectuar la simulación, y en un sistema arbitrario que resume todo el análisis anterior. Al igual, se propone un modelo matemático de la máquina que tiene en cuenta el fenómeno no lineal de la saturación magnética.

Keywords: Induction Motor, Modeling, Dynamic analysis.