Analytical computation of eddy currents and inductances in a conductive rod of finite length wound by a moveable cylindrical coil

This paper presents a complete 2D analytical model for calculating the magnetic field, eddy current and mutual inductance in a conductive rod of finite length wound by a cylindrical coil. The proposed model combines the truncated region eigenfunction expansion (TREEM) method with the separation of variables technique to solve Maxwell’s equations in terms of the magnetic vector potential in the axisymmetric problem. This developed analytical model allows considering the finite length of the cylindrical coil and the conductive rod at the same time, also solves the nonlinear equation that gives the complex eigenvalues. The analytical results are compared to the numerical ones obtained by FEM (COMSOL).