Recalculation of the Loads Current of Active Multi-Port Networks on the Basis of Projective Geometry

Abstract

For an active multi-port network of a direct current, as a model of a power supply system, the problem of recalculation of the changeable loads currents is considered. The approach on the basis of projective geometry is used for interpretation of changes or \kinematics" of regime parameters of a circuit. The changes of the 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¯nal 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 \°owed" form processes of the various physical natures.

Application of non-Euclidean metric in the electric power industry for reduction of measurement uncertainty

“…Recently, non-standard methods of analyzing processes in electric circuits and networks have been actively developed [13,14]. Non-Euclidean geometry in the theory of electric circuits is a non-standard method of analysis, it is used for the analysis of multi-port electric circuits [15,16], its application in electromechanics [17,18] is promising, as well as for calculating load modes, determining the parameters of load mode regulators of power electric circuits [19,20]. Вестник Карагандинского университета…”