The paper presents the results of a research of the impact of numerical integration algorithm and the method of solving the system of linear equations for the stability of the simulation of electric circuit in steady states and transient states. Stability criteria was explained. Mathematical modeling algorithm of the electric power line (steady states and transient states) was presented with elements of concurrent computing. The goal is to create a mathematical model of the electric circuit that will meet the requirements of the models used in simulators working in real time.
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