ANALYSIS OF SYNCHRONOUS MOTOR STABILITY USING HOPF BIFURCATION
NIKAMAL FERNANDOPULLE, R. S. Ramshaw · Electric Machines & Power Systems · 1991
Investigation of synchronous motor stability needs the study of a set of first order nonlinear differential equations. Due to this nonlinearity, the behavior of the synchronous motor during small disturbances is understood by looking at the eigenvalues of the linearised equations. One of the most powerful methods to analyse the dynamics of a nonlinear system is the theory of Hopf Bifurcation which uses the eigenvalues of the linearised system. This paper uses the Hopf Bifurcation theorem to determine different stability patterns of a synchronous motor. As the system voltage changes, the bifurcation of different equilibrium states are examined. A test system is used to simulate the changes taking place in the stationary solution. The properties of the nonlinear periodic solution are also uncovered and the relationship between the two solutions is established.