# Thevenin's theorem

@article{Brittain1990TheveninsT, title={Thevenin's theorem}, author={James E. Brittain}, journal={IEEE Spectrum}, year={1990}, volume={27}, pages={42-} }

The equivalent generator theorem is discussed. It is commonly called Thevenin's theorem, in honor of Leon Charles Thevenin, a French telegraph engineer and educator who proposed it in 1883, but in fact Hermann von Helmholtz proposed it first, in an 1853 paper. Although originally introduced to facilitate the analysis of linear networks of resistances and voltage sources, the theorem subsequently was defined in terms of impedances and voltage sources. As a tool for circuit analysis, it is allied…

## 52 Citations

### Extended Thévenin equivalent circuits

- Engineering2008 International Symposium on Power Electronics, Electrical Drives, Automation and Motion
- 2008

The authors propose a method to obtain an equivalent circuit for a network portion that is accessible by more than two terminals. This method can be seen as an extension of Thevenin's theorem (and of…

### Thevenin?s Theorem, Cramer's Rule, and Parameterized Systems: Some Connections [Lecture Notes]

- Engineering, MathematicsIEEE Control Systems
- 2019

It is shown that the input-output maps of both algebraic and dynamic systems can be obtained by a common set of formulas developed by systematically applying Cramer's rule for solving linear equations.

### Thevenin's theorem: a new formulation

- MathematicsICECS'99. Proceedings of ICECS '99. 6th IEEE International Conference on Electronics, Circuits and Systems (Cat. No.99EX357)
- 1999

A new formulation of Thevenin's theorem is presented, which enjoys two new attractive features, viz., logical approach and modeling tool, which makes both circuit hypotheses and proof calculations terser.

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

- EngineeringIEEE Access
- 2021

A new equivalent circuit for linear DC networks containing independent voltage and/or current sources and resistors, which represents all internal losses, which can be used for both the power and efficiency analysis of the real linear networks.

### General analytical solutions for DC/AC circuit-network analysis

- Physics
- 2014

Abstract
In this work, we present novel general analytical solutions for the currents that are developed in the edges of network-like circuits when some nodes of the network act as sources/sinks of…

### Pointwise Thévenin equivalents of a solar module

- Mathematics, Engineering2016 European Control Conference (ECC)
- 2016

A photovoltaic module is used and a new approach to obtain pointwise Thévenin equivalents from electrical measurements of non-linear sources is presented and how it compares with the classical The⩽venin equivalent is shown.

### Super-Positioning of Voltage Sources for Fast Assessment of Wide-Area Thévenin Equivalents

- Computer ScienceIEEE Trans. Smart Grid
- 2017

A revision to the method for superimposing voltage sources is suggested which exploits Schur’s complement of the network admittance matrix and optimal re-use of computations to facilitate a speed-up of methods relying on Thevenin equivalent representation such as the The venin equivalent method for contingency assessment.

### A new approach to overcome the imbalance in three-phase systems using the new proposed fractional-polynomial functions

- Computer Science
- 2019

This paper proposes a new method of overcoming the asymmetric operation regime in the three-phase systems, in which the number of compensating devices is reduced.

### Shortcuts in circuits and systems education with a case study of the Thévenin/Helmholtz and Norton/Mayer equivalents

- Education2012 IEEE International Symposium on Circuits and Systems
- 2012

This special session aims to provide a forum where colleagues across the globe come together to share best practices, such as jewels or pedagogical shortcuts, and where they propose modern circuits, signals, and systems curricula for various target student audiences and discuss other related issues.

### A model-free measurement based approach to circuit analysis and synthesis based on linear interval systems

- Mathematics2015 IEEE 24th International Symposium on Industrial Electronics (ISIE)
- 2015

A measurement based model-free approach to the solution of the problem of designing new elements to be added to an unknown circuit based on the functional form of the variable on the design parameters which are assumed to vary in prescribed intervals is developed.