Digital Signal Processing

    

Projective Geometry Method in the Theory of Electric Circuits with Variable Parameters of Elements

Authors: Alexandr Penin

Projective geometry is used for interpreting of circuit regime changes and mutual influence of loads. The changes of regime parameters are introduced through the cross ratio of four points. The formulas of the recalculation of the currents, which possess the group properties at change of conductivity of the loads, are obtained. The projective coordinates allows receiving the equation of the network in a normalized form as well as to define the scales for the currents and conductivity of the loads. This approach makes it possible to compare the regime of different circuits. The given approach is applicable to the analysis of «flowed » form processes of various physical natures.

Comments: 17 Pages.

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Submission history

[v1] 2014-05-07 05:03:25

Unique-IP document downloads: 326 times

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