Balanced multi-port electric network and its projective coordinates

Abstract

For an active multi-port network of direct current, as a model of distributed power supply system, the problem of recalculation of the changeable load currents is considered. Conditions of utilization of projective coordinates for the interpretation of changes or "kinematics" of regime parameters of the network are determined. Therefore, changes in regime parameters are introduced by the cross ratio of four points. Easy-to-use formulas of the recalculation of the currents, which possess the group properties at a change in the conductivity of the loads, are obtained to express the final values of currents through the intermediate changes in the load currents and conductivities. The obtained results contribute to the development of the basics of the electric circuit theory.