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Maximum axial and radial flux densities due to peripheral stator current The flux desnity, Bsper, is found by using the Biot‐Savart law expressed in cylindrical coordinates. Thus

The leakage reactance end component is calculated by considering the net flux linking the stator end winding when both stator and rotor are excited with currents so that the net flux density in the airgap is zero. The stator and rotor end windings are assumed to consist of coils that close through the airgap by means of fictitious filaments and thus their respective current distributions are represented by systems of closed currents. Iron boundaries other than the end plate are neglected and the end plate is considered to be unsaturated and also a magnetic mirror, i.e. μ=∞, ό=0.

The purpose of this paper is to replace the end winding current distribution of the squirrel cage rotor of induction motors with appropriate current sheets of sinusoidal distribution and then determine analytically the flux density at any point on the end zone due to stator end winding currents (Fig.1).

The end winding current distribution of the squirrel cage rotor consists of (Fig.1) : a peripheral current flowing in the end ring of the cage placed at a distance ar from the end core plane, 2) an axial current flowing in the straight part of the