The simulation of the magnetic field distribution in magnetic conductors of electrotechnical devices for the purpose of assessment of their characteristics in the operation modes is considered. The task has a form of the boundary value problem for the elliptic type equation in the ferromagnetic environment with nonlinear characteristics. We suggest using block elements in the form of arbitrary configured multipolar networks in the combination with nonlinear multangulars. The veber-ampere characteristics of the multipolar network are the result of a single solution of the boundary value problems for the multangulars forming block elements. The boundary value problems are solved using a complex finite element method, which provides direct solution for equations of constraints between magnetic strains and multipole fluxes. The nonlinearity of the characteristics is taken into account as a result of calculating the field distribution at the boundary of the multipoles by correcting the magnetic permeabilities of the block elements, which is performed iteratively.
Keywords: electrotechnical system, magnetic circuit, boundary value problem, block element, multipolar, complex boundary element, conductivity matrix