Algorithm of Stability Control for Computational Procedures of Diakoptic Method of Time Domain Analysis of Heterogeneous Systems

Abstract

The influence of components with distributed parameters on the stability of the numerical procedure of dynamic modes of the heterogeneous systems is considered. Compared to existing methods of matching of subcircuit solutions, a more sensitive method of considering the dynamics of their change is proposed, which allows one to effectively predict the matching step of subcircuits. The algorithm of control of stability of the computational procedure of the transient process in components with distributed parameters, considering their boundary conditions, is developed. A software module for solving hyperbolic equations by Lax-type method has been developed for modelling a subsystem with distributed parameters, such as transmission lines. The input parameters of the module are the voltage at the beginning and the current at the end of the line, the output parameters – the voltage at the end and the current at the beginning of the line. The implemented module uses the advanced Lax method for the component with distributed parameters, and implicit Euler method for the component with lumped parameters. Comparison of the results of the calculation of the test scheme with known softwares was performed in order to determine the calculated stability of the procedure of analysis of electric circuits with such components.