A Comprehensive Framework for the ThveninNorton Theorem Using Homogeneous Circuit Models

卷:70

Article

关键词: ORIGINS;   

DOI  :  10.1109/TCSI.2023.3236846

来源: SCIE

【 摘 要 】

The homogeneous description of a linear, uncoupled circuit is based on the assignment to each device of a triad ( p : q : s), where the parameters are defined up to a nonzero multiplicative constant and characterize a voltage-current relation of the form pv - qi = s. Given a one-port, the open-circuit and short-circuit network determinants, to be denoted as pe and qe, are polynomial functions of the p- and q-parameters of the individual devices. With this formalism, we may state the Thevenin-Norton theorem in a uniform manner by saying that, for any given set of parameter values, if at least one of the functions pe and qe does not vanish then the voltage-current behavior at the port is characterized by a homogeneous triad ( pe : qe : se). In particular, the assumptions p(e) not equal 0 and q(e) not equal 0, respectively, characterize the existence of the Thevenin and the Norton equivalents, but the formulation proposed above avoids the need to make an a priori distinction between one form and another. The excitation parameter se can be computed by inserting any admissible load at the port, but also analytically, in terms of the topology of the underlying digraph. The results hold without the need to specify whether each circuit element is a source or a passive device, much less to assume whether they are voltage- or current-controlled.

【 授权许可】

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