Current Diffusion Analysis of Finite Width Conductor Plate

Current diffusion in a finite width conductor plate is researched based on the traditional 1-D current diffusion in semi-infinite width conductor plate. The quasi-static magnetic field transient process of finite width conductor plate is studied, and we obtain the transient solution of the magnetic field and current diffusion, as well as the transient time constant. It is found that the current diffusion in a finite width conductor plate is a multiorder transient process, and the width of the conductor plate plays an important role in the current diffusion which affects the transient time constant. Only in the initial stage, the distributions of the magnetic field and current density in a finite width conductor plate can be approximated as the traditional 1-D current diffusion characteristics of a semi-infinite width conductor plate. In addition, the skin depth of current diffusion is the equivalent width of the equivalent resistance corresponding to loop voltage of the two semi-infinite conductor plates, which is not applicable to the analysis of conductor loss power and space magnetic field energy.