Topic
Superposition theorem
About: Superposition theorem is a research topic. Over the lifetime, 196 publications have been published within this topic receiving 1906 citations.
Papers published on a yearly basis
Papers
1 Feb 1949
TL;DR: In this article, it was shown that the equivalent electric circuit of a transformer, having any arrangement of magnetic paths, is derivable from its magnetic circuit by application of the topological principle of duality.
Abstract: When making calculations on a circuit, containing both electric impedances and transformers, it is frequently desirable to consider the transformers removed and the constraints they impose replaced by a rearrangement of the impedances connected to their terminals. Such equivalent circuits may not always be found; the rules are here established for their formation, and also for checking, by inspection, whether the transformer constraints are removable in this way, in any particular case. It is shown that the equivalent electric circuit of a transformer, having any arrangement of magnetic paths, is derivable from its magnetic circuit by application of the topological principle of duality. This cannot be done if the magnetic circuit is non-planar, as in the case of a transformer possessing four or more windings with leakage couplings; a physically realizable circuit does not then exist. Under certain conditions the principle may be applied in reverse and the impedances in a given electric circuit may be coupled together by a suitable transformer, so that the various current and voltage constraints are unaltered.
217 citations
Book•
7 Jun 2007
TL;DR: In this article, the authors presented a revision of complex numbers for series and parallel networks in the context of circuit theory and technology, and applied complex numbers to series ac circuits and parallel ac circuits.
Abstract: Preface Section 1 Basic Electrical Engineering Principles Units associated with basic electrical quantities An introduction to electric circuits Resistance variation Batteries and alternative sources of energy Series and parallel networks Capacitors and capacitance Magnetic circuits Electromagnetism Electromagnetic induction Electrical measuring instruments and measurements Semiconductor diodes Transistors Main formulae for Part 1 Section 2 Electrical Principles and Technology Dc circuit theory Alternating voltages and currents Single-phase series ac circuits Single-phase parallel ac circuits Dc transients Operational amplifiers Three phase systems Transformers Dc machines Three-phase induction motors Main formulae for Part 2 Part 3 Advanced Circuit Theory and Technology Revision of complex numbers Application of complex numbers to series ac circuits Application of complex numbers to parallel ac circuits Power in ac circuits Ac bridges Series resonance and Q-factor Parallel resonance and Q-factor Introduction to network analysis Mesh-current and nodal analysis The superposition theorem Thevenin's and Norton's theorems Delta-star and star-delta transformations Maximum power transfer theorems and impedance matching Complex waveforms A numerical method of harmonic analysis Magnetic materials Dielectrics and dielectric loss Field theory Attenuators Filter networks Magnetically coupled circuits Transmission lines Transients and Laplace transforms Main formulae for Part 3 Part 4 General reference Standard electrical quantities - their symbols and units Greek alphabet Common prefixes Resistor colour coding and ohmic values Index
152 citations
TL;DR: This theorem is based on a constructive proof of the Kolmogorov-Arnold superposition theorem, and on a subset of multivariate continuous functions whose outer superposition functions can be efficiently approximated by deep ReLU networks.
93 citations
[...]
TL;DR: Thevenin's theorem as mentioned in this paper was originally introduced to facilitate the analysis of linear networks of resistances and voltage sources, and subsequently was defined in terms of impedances and sources.
Abstract: 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 to the superposition theorem. The history of the theorem and how it came to be named for Thevenin are described. >
66 citations
TL;DR: From this is obtained a stronger version of the Hecht-Nielsen three-layer feedforward neural network for implementing f(x"1, ..., x"n).
65 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2022 | 1 |
| 2021 | 13 |
| 2020 | 7 |
| 2019 | 10 |
| 2018 | 4 |
| 2017 | 5 |