Complex Dynamic Model of a Multi-phase Asynchronous Motor

The paper presents a new complex and reduced dynamical model of a multi-phase asynchronous motor using the Power-Oriented Graphs modeling technique. The new reduced model is obtained in the state space using a complex and rectangular “congruent” transformation. The model describes the electric motor using a reduced number of complex state space variables. The characteristic polynomial of the new model has complex coefficients: its roots and the complex conjugate of these roots are exactly the eigenvalues of the considered asynchronous motor. The complex steady-state equations of the new reduced model are given and discussed. Some simulation results end the paper.