New 2-D Quasi-Analytical Computation of Eddy Currents in Axisymmetrical Problems: Application to Tubular Linear Induction Motor

In this article, an exact 2-D analytical magnetic field modeling in time harmonic mode of axisymetrical problems is proposed. It is applied for a tubular linear induction motor (TLIM) at locked rotor operation to calculate the magnetic field, eddy currents distributions, and thrust force. The proposed electromagnetic modeling combines the truncated region eigenfunction expansion method (TREEM) with the separation of variables technique to solve Maxwell’s equations in terms of the magnetic vector potential. The developed analytical model allows considering the finite length in the axial direction of both inductor and conductive parts of the investigated structure at the same time and also solves the nonlinear equation to compute the complex eigenvalues. The analytical results are in very good agreement with those obtained using a 2-D finite element method (FEM).