Power-Based Equivalent-Modeling Circuit for DC Linear Time-Invariant Resistive One-Port Networks

This paper introduces a new equivalent circuit for linear DC networks containing independent voltage and/or current sources and resistors, which represents all internal losses. Since the equivalent-modeling proposal does allow the determination of the efficiency of the original circuit or of all power dissipated in the internal resistors, it can be used for both the power and efficiency analysis of the real linear networks. The proposed equivalent circuit can be considered an extension to and differs from those proposed by Thévenin, and other subsequent proposals with regard to its conservativeness in relation to the actual circuit. Therefore, the paper also demonstrates that there is a direct relation between the model presented here and that proposed by Thévenin.