Power Conservative Equivalent Circuit for DC Networks

Self Cite

This paper introduces a new equivalent circuit for linear direct current networks consisting of independent voltage and current sources, and resistors, which represents all the power dissipated internally in the resistors. It is demonstrated that the internal losses of any network have two components. One is variable and dependent on the internal resistances of the actual circuit and the power transferred to the pair of accessible terminals. The other is constant and dependent only on the internal voltage and current sources and the resistances of the actual network. It is also demonstrated theoretically and validated by numerical simulation that the traditional Thevenin and Norton equivalent circuits are particular cases of the proposed equivalent circuit in this paper. The proposed equivalent circuit can be used to analyze power and efficiencies of the actual network. INDEX TERMS Equivalent circuit, power conservation, Thévenin's theorem, Thévenin equivalent circuit, Norton's theorem, Norton equivalent circuit, efficiency of equivalent circuits, general network theorem.

“…This paper extends the analysis presented in [3], for networks formed by independent voltage and current sources, and resistors. A unified equivalent circuit is introduced.…”

Section: Introductionsupporting

confidence: 67%

Section: A General Network Theoremmentioning

confidence: 78%

Section: On the Value Of Rx And Rymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Unified Power Conservative Equivalent Circuit for DC Networks

Barbi¹

2020

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General Power-Equivalent Synthesis of Resistive DC Networks

Corradini

2020

Thévenin's and Norton's theorems are cornerstones of linear circuit analysis as they enable the terminal representation of any single-port linear network as the series of an ideal voltage generator and a linear impedance, or as the parallel between an ideal current generator and a linear admittance. While Thévenin's and Norton's representations are, by construction, electrically equivalent to the original network, they do not preserve power equivalence, in that they do not reproduce the power dissipated by the original network, nor they are power-equivalent to each other. This work discloses a general expression of the internal power P h dissipated by a linear dc network composed by resistors and a mixture of independent voltage and current generators. The expression reveals a theoretical link between P h and key open-circuit (or shortcircuit) parameters of the network itself, and provides renewed insights on the relationship between power dissipation, load and network's efficiency. Furthermore, the result leads to the formulation of a class of circuits which are both electrically and power-equivalent to the original network, and that can be regarded as power-equivalent generalizations of Thévenin's and Norton's representations. Results are validated via case studies treated analytically and via computer simulations. INDEX TERMS Thévenin's theorem, Norton's theorem, equivalent circuits, circuit theory, circuit synthesis List of Symbols Po, P h Network's output power and total internal dissipated power, respectively P h,min Network's minimum dissipated power P h,OC , P h,SC Network's dissipated power in open-circuit and short-circuit condition, respectively P h,OC-E , P h,OC-J Network's open-circuit dissipated power due to the voltage sources alone and to the current sources alone, respectively P h,

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

García

García-Vílchez

2021

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. INDEX TERMS Circuits, circuit theory, equivalent circuit, power conservation, Thévenin's theorem, Thévenin equivalent circuit, efficiency of equivalent circuits.