ALGORITHM OF ELECTRIC CIRCUIT STATE MATRIX TRANSFORMATION USING THE MODIFIED NODAL ANALYSIS

The article proposes the algorithm of electric circuit state matrix transformation obtained by modified nodal analysis. is aimed at reducing system electrical differential equations to Cauchy problem form for purpose subsequent solution. Application analysis an with energy inertial elements leads a ordinary equations, which contains singular before derivatives vector in if there are ungrounded capacitors circuit. For this reason, direct reduction impossible. idea solving such systems pass from potentials voltages and division into two pieces: containing without them. An important step elimination linearly dependent rows matrix. that based on adjacency compiled circuit, subject work. can be used topologically arbitrary connection unlimited number capacitors. demonstration, example using given article.