Transmission-line theory approach to solution of state equations for linear-lumped circuits

Antonije R. Djordjević; Branimir D. Reljin; Dejan V. Tošić; Tapan K. Sarkar

doi:10.1109/22.486163

Transmission-line theory approach to solution of state equations for linear-lumped circuits

Antonije R. Djordjević, Branimir D. Reljin, Dejan V. Tošić, Tapan K. Sarkar

Department of Electrical Engineering & Computer Science

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Linear-lumped circuits containing capacitors and/or inductors are described by differential equations. In computer-aided circuit analysis, these equations are discretized in time, thus being reduced to approximate formulas involving samples of voltages and currents. It is shown that these relations can be interpreted as exact equations for networks containing transmission lines. Hence, some features of the approximate formulas gain a clear physical interpretation. In particular, convergence and energy balance properties of the formulas become obvious, confirming advantages of the trapezoidal rule over all other formulas.

Original language	English (US)
Pages (from-to)	479-482
Number of pages	4
Journal	IEEE Transactions on Microwave Theory and Techniques
Volume	44
Issue number	3
DOIs	https://doi.org/10.1109/22.486163
State	Published - 1996

ASJC Scopus subject areas

Radiation
Condensed Matter Physics
Electrical and Electronic Engineering

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AU - Sarkar, Tapan K.

PY - 1996

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AB - Linear-lumped circuits containing capacitors and/or inductors are described by differential equations. In computer-aided circuit analysis, these equations are discretized in time, thus being reduced to approximate formulas involving samples of voltages and currents. It is shown that these relations can be interpreted as exact equations for networks containing transmission lines. Hence, some features of the approximate formulas gain a clear physical interpretation. In particular, convergence and energy balance properties of the formulas become obvious, confirming advantages of the trapezoidal rule over all other formulas.

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Transmission-line theory approach to solution of state equations for linear-lumped circuits

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