About the definition of parameters and regimes of active two-port networks with variable loads on the basis of projective geometry

摘要

Disadvantages of some well- known methods of analysis of electric circuits with variable loads are analyzed. To interpret a mutual influence of the loads, some methods of the projective geometry are used. The application of the projective coordinates allows receiving the equation of the active two-port network in a normalized or relative form as well as defining the scales for the currents and conductivity of the loads. Such approach makes it possible to estimate the qualitative characteristics of the current regimes, to compare the regime efficiency of the different circuits. The 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. The generalized equivalent generator of the active two-port network in the form of the passive two-port network and a set of the sources of a current and voltage is proposed. The parameters of these sources do not depend on certain conductivities of the passive two-port network.