SIMULATION OF NONLINEAR CIRCUITS BY SPECTRAL BALANCE METHOD USING TENSORS

The purpose of the article is to present the new method for electronic circuits simulation in frequency domain. The paper consists of an introduction, five sections, a conclusion and list of references. The first section is considered with the current state of the spectral balance method, which is a special versions of traditional harmonic balance method. In this method the linear and nonlinear parts of circuits are modeled in frequency domain only. The second section is devoted to the development of a spectra calculation method in nonlinear elements. The nonlinear elements into circuits simulation software usually described in time domain, so we need to develop the algorithm for calculation the spectra in nonlinear elements in frequency domain. In the third section the review of methods for tensor usage at simulation tasks into electronic CAD systems are discussed. Into the section four the methods of tensor decomposition are described. The canonical decomposition, Tacker decomposition and tensor train decomposition are discussed. The possible version of tensors usage in the tasks of spectral balance method for electronic CAD systems is presented in the section five. The conclusion contains the results of the work done, practical value and prospects are indicated.