DOI:10.24160/0013-5380-2018-9-4-49-51
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Elektrichestvo, 2018, No. 9, pp. 49-51 DOI:10.24160/0013-5380-2018-9-49-51
Splitting and Analytical Solution of the Stiff Equations of Electric Circuits
BUTYRIN Pavel A. (National Research University Moscow Power Engineering Institute <<NRU<<MPEI, Moscow, Russia) Head of the Deartment, Corresonding member of the Russian Academy of Sciences
It is shown that the stiff equations of electric circuits, the solution of which usually involves certain difficulties, can under certain but sufficiently general conditions be slit into a number of simle well^osed equations with coefficients resented by analytical exressions. These equations can be solved analytically rovided that they have a sufficiently low dimension. Bute ven if they have a high dimension (higher than 4), analytical exressions for equation coefficients allow one to estimate which of the circuit arameters affect the solution of these equations, and what is the extent of their influence, and which of the arameters do not have any effect on the solution. The resented rocedure for slitting stiff equations and subsequently solving them, in icular, analytically, ermits generalization and artial refinements.
Key words: electric circuits, stiff equations, slitting rocedure, coefficients, analytical solution
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