This paper presents a new analytical method for predicting magnetic field distribution and levitation force in three configurations of high temperature superconducting (HTSC) maglev vehicles. The permanent magnet guideways (PMG) are composed with ferromagnetic materials and NdFeB permanent magnets. The proposed analytical model is based on the resolution in each region of Laplace's and Poisson's equations by using the technique of separation of variables. For the study, we consider the HTSC as a perfect diamagnetic material. The boundary conditions and Fourier series expansion of interfaces conditions between each region are used to find the solution of magnetic field. The developed analytical method is extended to compute the magnetic field distribution generated by the three types of PMGs when removing the HTSC bulk. Magnetic field distribution and vertical force obtained analytically are compared with those issued from the finite element method (FEM).
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