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SIMULATION
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Simulation of transmission line transients with a distributed-parameter model using a personal computer

R.M. Nelms

Department of Electrical Engineering Auburn University Auburn, A1 36849

G.B. Sheblé

Department of Electrical Engineering Auburn University Auburn, A1 36849

Steven R. Newton

Department of Electrical Engineering Auburn University Auburn, A1 36849

L.L. Grigsby

Department of Electrical Engineering Auburn University Auburn, A1 36849

This paper presents a state space technique for the solution of electromag netic traveling wave equations. By dividing the transmission line into a series of {pi} -section segments, a set of state equations is written in vector-matrix form. Each section segment consists of a series resistance and inductance with a shunt conductance and capacitance placed at the terminal ends of the segment. The state variables are chosen as the inductor currents and the capacitor voltages. The trapezoidal method of numerical integra tion is used to convert the state equations to a set of linear difference equations. Finally, LU factorization is used to update the difference equations. The state space technique presented is readily imple mented on a personal computer.

Key Words: personal computer • discrete simulation • electrical engineering • distrib uted parameter • differential equations

SIMULATION, Vol. 55, No. 2, 103-108 (1990)
DOI: 10.1177/003754979005500206
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