Solution of 2-dimensional field problems by boundary relaxation

Cermak, I.A.; Silvester, P.

doi:10.1049/piee.1968.0237

Cited by 27 publications

(6 citation statements)

References 2 publications

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“…We will discuss these in the following, considering different types of assumptions for the power lines. We then outline the resulting computational methods to obtain the PUL matrices, and present a numerical solver for computing the PUL parameters based on the finite differences method with boundary relaxation [20].…”

Section: Computation Of Pul Parametersmentioning

confidence: 99%

“…When this is not the case, one needs to resort to general numerical integration methods, like the finite element method to solve the discretized Laplacian equation, e.g. [20]. Such methods are obviously the most flexible ones in terms of considered setups and required assumptions, but they are numerically rather complex.…”

Section: B Computation Of Capacitance Matrixmentioning

confidence: 99%

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On PLC channel emulation via transmission line theory

Gruber

Lampe

2015

2015 IEEE International Symposium on Power Line Communications and Its Applications (ISPLC)

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The emulation of power line communication (PLC) channels is an important tool for the analysis and development of PLC systems. Especially for the study of PLC networks, the so-called bottom-up channel emulation using transmission-line theory (TLT) is the proper method. The underlying assumption of this approach is that the power line propagation characteristics are known. That is, the per-unit length (PUL) parameters of the power lines need to be computed. However, especially for multiconductor lines this can be theoretically and computationally challenging. In this paper, we present a compact overview of the computation of PUL parameters. We briefly discuss the assumptions associated with different solution methods and develop a numerical solver applicable to general multi-conductor transmission lines. Considering a sample set of different cable types, we demonstrate the effects of simplifying assumptions on the accuracy of computed PUL parameters and channel frequency responses.

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Section: Computation Of Pul Parametersmentioning

confidence: 99%

Section: B Computation Of Capacitance Matrixmentioning

confidence: 99%

On PLC channel emulation via transmission line theory

Gruber

Lampe

2015

2015 IEEE International Symposium on Power Line Communications and Its Applications (ISPLC)

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“…(3) are readdy explained by the fact that, if a certain amount of energy flows from 0 1 to 0 2 at the i-th boundary node, the same amount flows from 0 2 to 0 1 at the same node but in the opposite direction. It must therefore take the opposite sign.…”

Section: Analytical Approachmentioning

confidence: 99%

“…This theory may be viewed as a generalization to field theory of the Thevenin equivalent circuit. It is related in principle, though not in implementation, to the method of substructuring [2] and to the rather more specialized techniques of discretizing infinite regions [3].…”

Section: Introductionmentioning

confidence: 99%

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Thevenin equivalent fields

Santini

Silvester

1996

IEEE Trans. Magn.

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A theory of equivalent fields, analogous to equivalent circuits in network theory, is developed. It extends diakoptic analysis and permits solution of two (or more) coupled boundary-value problems independently, representing their mutual coupling by appropriate influence constraints and functions. Analytical models are derived, and their impact on numerical methods is explored. This technique is particularly valuable where detailed results are sought only in a small portion of a large field problem

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Higher‐order infinite elements for quasi‐TEM analysis of microwave transmission lines using the finite‐element method

Pantic-Tanner

Mittra

1995

Micro & Optical Tech Letters

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Higher‐order infinite elements, which are compatible with ordinary finite elements, and which preserve the sparsity of the FEM equations, are derived for the quasi‐TEM analysis of open‐type microwave transmission lines. The shape of the outer boundary can be an arbitrary polygon and can be chosen to conform to the geometry of the transmission line etches. It is shown that the use of the infinite elements with higher‐order approximation of the radiation condition enhances the efficiency of the method as compared to the conventional FEM, by virtue of the reduction in the requirements for the memory and computation time. © 1995 John Wiley & Sons, Inc.

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Solution of 2-dimensional field problems by boundary relaxation

Cited by 27 publications

References 2 publications

On PLC channel emulation via transmission line theory

On PLC channel emulation via transmission line theory

Thevenin equivalent fields

Higher‐order infinite elements for quasi‐TEM analysis of microwave transmission lines using the finite‐element method

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