Abstract
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 Thevenin, 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 Thevenin.
Highlights
As is well known, electric networks can be studied from a general mathematical point of view
Barbi published an interesting article [6] in which the author discusses a new equivalent circuit that is an extension to and differs from that proposed by Thévenin with regard to its conservativeness in relation to the actual circuit
The paper demonstrates that there is a direct relation between the model presented here and that proposed by Thévenin, as detailed below
Summary
Electric networks can be studied from a general mathematical point of view. Where RTH is equivalent resistance of the ‘classical’ Thévenin equivalent circuit, which coincides with the electrical resistance measured from the terminals a − b with the circuit passivated; i.e., voltage and current sources are set equal to zero (short- and open-circuited, respectively) After this theoretical analysis, and thanks to equations (9), (12), (13), and (14), it is easy to obtain the proper values of the voltage source VPM , current source IPM , and resistors RS and RP in order to complete the circuit model for the DC linear time-invariant resistive one-port network.
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