THE MAGNETOELASTIC COUPLING VIBRATION EQUATIONS AND INHERENT PROPERTY OF TURBOGENERATOR STATOR END COLLECTOR RING

According to the curved beam theory of Love, the general nonlinear magnetoelastic coupled vibration equations of the end of circular collector ring on turbogenerator's stator are derived. Using Maxwell equations, Poisson equations of vector magnetic potential are solved by separation of variables. Magnetic density distribution of the circular collector ring is given. The magnetic forces sustained by end collector ring are deduced in analytical expression. Inherent vibration property of the end collector ring is analyzed, and the result is compared with those of the finite element method and experiments. Good agreement is reached, validating the analytical process presented in this paper. Meanwhile, it is believed that the method and the results given in the paper provide theoretical basis for design and vibration analysis of end collector ring of large turbogenerator's stator.