Journal ArticleDOI
The topology of the mixed potential function
J.O. Flower
- Vol. 56, Iss: 10, pp 1721-1722
TLDR
The canonical form of the network equations based on the mixed potential function was developed and examined from a topological viewpoint in this paper, where the authors considered the problem of topological topology.Abstract:
The canonical form of the network equations based on the mixed potential function are developed and examined from a topological viewpoint.read more
Citations
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Journal ArticleDOI
Multidomain modeling of nonlinear networks and systems
TL;DR: In this article, equations regarding Langrangian and Hamiltonian are discussed and compared to the Brayton-Moser equations, and a practical advantage of the BM framework is that the system variables are directly expressed in terms of easily measurable quantities, such as currents, voltages, velocities, forces, volume flows, pressures or temperatures.
Journal ArticleDOI
A generalization of Brayton-Moser's mixed potential function
TL;DR: In this article, the authors give algorithms for constructing the Brayton-Moser mixed potential function for a class of nonlinear reciprocal RLC networks, and state necessary conditions for their existence.
Journal ArticleDOI
Stationary principles and potential functions for nonlinear networks
TL;DR: In this article, a graph theoretic approach for deriving various stationary principles for single-element type nonlinear networks is presented, where the concepts of total content, co-content, and hybrid content are generalized to that of total parametric content for resistive non-linear networks containing multivalued elements.
Modeling and control of nonlinear networks : A power-based perspective
TL;DR: In this paper, a unified power-based framework that provides a systematic dynamical description of a broad class of networks, including switched-mode power converters, is presented, where the underlying physical structure, like the interconnection of the individual elements, nonlinear phenomena and the power flow, are explicitly incorporated in the model.
Journal ArticleDOI
Derivation of the Brayton–Moser equations from a topological mixed potential function
TL;DR: In this paper, a topological mixed potential function, P*T, is defined and shown to be an exact differential, and the Brayton-Moser equations are obtained from topological relationships of the network.
References
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Journal ArticleDOI
CXVI. Some general theorems for non-linear systems possessing resistance
TL;DR: In this article, the authors introduced the concept of content and showed that the total content of any system in motion is an invariant property in non-linear or non-reactive systems.
Journal ArticleDOI
Bistable systems of differential equations with applications to tunnel diode circuits
TL;DR: A mathematical analysis is developed for nonlinear circuits which have at least two stable steady states, and therefore are of interest as computing or memory elements, and results in quantitative restrictions on the parameters.
Journal ArticleDOI
Thermodynamic approach to systems analysis and the development of a combined potential function
TL;DR: By comparison of certain thermodynamic and nonlinear circuit equations, a combined potential function that generalises the concept of entropy change is suggested in this paper, where the potential function is defined as a function of the entropy change.