THEORY OF CATASTROPHES REGARDING THE OPERATION OF A DC ELECTRIC MOTOR WITH SERIES EXCITATION
DOI:
https://doi.org/10.59277/RRST-EE.2023.68.1.15Keywords:
Catastrophe theory, Dynamical systems, Discontinuities, Singularities, Equilibrium points, Sudden transitions, Control space, Phase space, Catastrophe cusp, Direct current electric motor with series excitationAbstract
This paper brings in the spotlight the theory of catastrophes and its application for the analysis of the equilibrium positions of dynamic electrical systems. A study model was adopted in the case of a DC electric motor with series excitation operating in 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 in the control-space were obtained and 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 in the control-space was highlighted graphically, using the MATLAB software.
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