APPLICATION OF THE FINITE‐ELEMENT METHOD FOR THE CALCULATION OF POWER LOSSES IN A SYSTEM OF TWO SOLID CYLINDRICAL CONDUCTORS PLACED IN A SENUSOIDALLY VARYING TRANSVERSE FIELD

Abstract
The paper presents a numerical version of a method which makes it possible to calculate any quasi‐stationary two‐dimensional field in non‐ferromagnetic conductors of limited cross‐sections for unknown boundary conditions on the conductor surfaces. The principle of the method depends on the application of a finite‐element network within the current region and the method of variable division within the no‐current region. The conditions of the continuity of the vector potential and the continuity of the tangential component of the magnetic induction vector are considered in the form of functions defined by the Bubnov‐Galerkin method. Since the separation of the variables is used in the region without current, it is easy to satisfy the conditions at infinity for different types of input. The shapes of the conductors in the current region are, on the other hand, illustrated by discretization by means of the finite element method. An example of the application of the method for two‐dimensional analysis of power losses in two thick solid circular conductors placed in a sinusoidally varying transverse field is presented. Plots of power losses were drawn based on numerical computation.