Analysis of Active Two-Port Circuits with Variable Loads on the Basis of Projective Geometry

Abstract

For two-port circuit of direct current the problem of recalculation of the changeable load currents is considered. The approach on the basis of projective geometry is used for interpretation of changes or "kinematics" of the circuit regimes. Changes of regime parameters are introduced otherwise, through the cross ratio of four points with use of projective coordinates. Easy-to-use formulas of the recalculation of the currents, which possess the group properties at change of conductivity of the loads, are obtained. It allows expressing the final values of the currents through the intermediate changes of the currents and conductivities. Disadvantages of the traditional approach, which uses the changes of resistance in the form of increments, are shown. The given approach is applicable to the analysis of «flowed » form processes of the various physical natures.