Equivalent Circuit in Cauer Form for Eddy Current Field Including a Translational Mover

As an extension of the Cauer ladder network method, this article presents the equivalent circuit for an eddy current field including a translational mover. The speed voltages for the inductors in the equivalent circuit are obtained by using the directional derivatives of the inductors in the direction of mover displacement. These directional derivatives are determined by using the fact that the electromagnetic force can be represented in two forms, namely, Maxwell's stress tensor and the virtual work principle. This result is also verified by using the theory of continuum mechanics. Finally, numerical examples of an electromagnet are presented.