THEORY OF A SYNCHRONOUS MACHINE WITH A SELF-LEVITATED ROTOR

ABSTRACT

The properties of an ironless rotor synchronous machine (SM) with null-flux windings on the stator and radial displacement of the rotor are considered. The system of the SM equations are derived. These equations are based on an analytic representation of a three-dimensional excitation field and on considering the SM as a dynamic system with three generalized coordinates, two of which are the coordinates of the Center of rotor mass and one is the angle coordinate which characterizes the rotation of the rotor on its own axis.

On the basis of the solution of the equations we obtain the relations for all the basic quantities: radial and centering forces, radial suspension stiffness and parameters of the null-flux circuit. They characterize all the properties of the SM in the state when the rotating rotor undergoes a radial displacement.