A. Analytical Model

The analytical model is composed of 78 non-linear equations. The electric, magnetic, and thermal phenomena are taken into account.

The equations are distributed as follow:

- 25 for the electric and magnetic phenomena,

- 3 for the thermal one,

- 15 for the geometrical properties,

- 21 for the material properties and the configuration,

- 3 for the specifications, and

- 11 for the design variables.

This model has been published in The International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL), ISSN: 0332-1649, Year: 2005 Volume: 24 Issue: 3 Page: 829-848

The equations are detailed and explained here.

The equations without comments are given here.

The equations can be computed using the Mathcad file or the Matlab scipt.