Scaling laws for synchronous permanent magnet machines

This paper defines the scaling laws for synchronous permanent magnet machines which include three separate procedures: rewinding, axial scaling, radial scaling. The derivation of scaling relations is based on the requirement that the magnetic fields in the scaled model should be the exact images of the fields in the referent model. The exact equations for the various parameters (torque, power, losses, mass, resistance, inductance) of the machine are derived using the three scaling factors, one for each scaling procedure. The equations are numerically validated using the state-of-the-art finite-element software.