Theory of catastrophes regarding the operation of a dc electric motor with series excitation

This paper brings into the spotlight the theory of catastrophes and its application for analyzing the equilibrium positions of dynamic electrical systems. A study model was adopted for a dc electric motor with series excitation operating in a transient regime. From the perspective of the theory of catastrophes, starting from the operating equations of the direct current electric motor with series excitation, the functions that describe its behavior in the phase space and the control space were obtained. Then the equilibrium points of the chosen model were determined. Also, for a clearer understanding of the results obtained, the evolution of this behavior in the phase space and the control space was highlighted graphically using MATLAB software.