Modeling the self-excitation process of a conventional non-salinity pole synchronous generator using the Matlab Simulink model

Abstract

Relevance: Self-excitation is an electromagnetic instability characterized by a spontaneous increase in voltage and current (U and I) in system elements and generator windings. A necessary condition for self-excitation is the presence of a connected capacitance in the stator circuit, creating an oscillatory circuit with the machine's inductive reactance. Since the specific and mutual resistances of the machine windings change over time during rotor rotation, conditions may arise in which electrical oscillations in the circuit do not attenuate, but rather increase. This is called self-excitation. The self-excitation process of a synchronous generator is considered a negative phenomenon, since voltages and currents can be very high and, most importantly, impossible to control.

Aim: To model and analyze the self-excitation process of a conventional non-salient-pole synchronous generator using the MatLab Simulink model.

Methods: The study utilized the theory of electromagnetic transient processes in synchronous generators, mathematical approximation, the Runge-Kutta method for solving differential equations, modeling of self-excitation processes in MatLab Simulink, and mathematical statistical methods for comparing and processing the obtained results.

Results: The results of modeling the self-excitation process of a traditional synchronous generator with unstable poles are presented using the Matlab Simulink model.