Analytical model for estimation of eddy current and power loss in conducting plate and its application

A model is developed to study the eddy current induced in a thin conducting but nonmagnetic plate of finite size when exposed to a time varying magnetic field. The applied field may be uniform or vary in space. This model can accurately estimate the eddy current contour in the plate and loss due to eddy current. Power losses for plates of various dimensions and at different frequencies are calculated to establish the accuracy of the model. We have also calculated the magnetic field generated by the induced eddy current when the plate of finite size is placed between the two parallel poles of a dipole magnet made of magnetic material of very high permeability. The force acting on the plate due to the interaction of the induced eddy current and the applied external field is also calculated. The model can predict the time variation of force and eddy current. The model may be applicable to understand the effect of eddy current on the vacuum chamber of an accelerator. Various other applications, where this model is useful, are also reported. The results are compared against the results obtained by a simulation using a finite element based code. Here the rectangular plate is considered but the model can be applicable for other geometries as well