Theoretical and experimental investigation on Hopf bifurcation of generator set

Taking into account the nonlinearity of the shaft and the interaction of me chanics and electric in the generator sets, we got a transient model by com bining the Park equations With mechanical equations. The self-excited reson ance of the system caused by too-large line resistance or stator resistance is investigated using nonlinear normal modes and invariant manifold method . Theoretical results show that a supercritical Hopf bifurcation occurs whe n the resistance becomes larger. The experimental results show high similar ity with the theoretical conclusions.