On Stability and Behavior of Solutions at Computer Simulation of Transients in Electric Power Systems

摘要

Stiff ordinary differential equations’ solvers included in the MATLAB set are investigated in this paper from the point of view stability in the context of transitions in electric power systems. Quantitative and qualitative distinctions conditioned by the four different stiff methods (solvers) used in the wide ranges of initial step sizes and tolerances are studied on high-voltage power capacitor banks switching-off example. It is shown in the paper that in some cases even a little quantitative distinction of transitional functions’ instantaneous values from ones for stable solutions due to step-to-step accumulation of local errors may cause qualitative distinctions in solutions’ behavior.