Two-Dimensional Flux Tubes for the Analytical Modeling of the Magnetic Field Problems

This paper deals with the analytical modeling of field problems in magnetic devices. A new method for the analytical calculation of the so-called two-dimensional flux tubes is presented. Based on the well-known flux tube concept with just one-dimensional flux tube geometries, the calculation method is extended to the two-dimensional flux tubes. Moreover, the geometries with trapezoidal and elliptical shapes are discussed here, in this paper. In conclusion it is shown that the newly introduced analytical method reduces the error of the modeling in comparison to the FEA to below 8%.