l] is the projection of the

magnetic vector potential on the direction of traversal of the contour; V is the volume of the inductor.

Depending on Faraday's law and substituting the

magnetic vector potential A and electric scalar potential 7in Eq.

The

magnetic vector potential in the Fourier domain is represented as [?

5] and the

magnetic vector potential finite at y = +[infinity], the general solution of (1) can be expressed as

This formula can be used to obtain the

magnetic vector potential distribution, magnetic field density and current density:

The eddy current in the armature could also be computed in a weak form by a backward time derivative of the average value of the

magnetic vector potential obtained by the magnetostatic computation, under the condition of applying a small time step.

The coupling of the FE and BIE formulations is done by expressing the continuities of the

magnetic vector potential and of the tangential component of the magnetic field on the airgap interfaces.

r'] is the z-directional Green's function excited by the z-directed source in terms of a

magnetic vector potential A.

In this term is included the

magnetic vector potential A.

This means using

magnetic vector potential in [[OMEGA].

The electric field is obtained from the

magnetic vector potential [[vector].

Magnetic flux density in w-coordinates will be evaluated as a derivative of the

magnetic vector potential W(w)