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1 Introduction

Transmission Line Model

Timothy Vismor
January 23, 2015
Abstract

This document describes an overhead transmission line model that is useful for the analysis of large scale electric power systems. It establishes practical techniques for computing the series impedance and shunt admittance of arbitrary conductor configurations. Consideration is given to computational aspects of computing transmission line impedance parameters.

Copyright © 1990-2015 Timothy Vismor

Contents:
  • 1 Introduction
  • 2 Series Impedance
    • 2.1 Carson’s Equations
      • 2.1.1 Approximation of P and Q in Carson’s Equations
      • 2.1.2 Accuracy of Approximations to P and Q
      • 2.1.3 Use of First Order Approximations to P and Q
    • 2.2 Impedance of an N Conductor Transmission Line
    • 2.3 Series Impedance Computations
      • 2.3.1 Computation of k in the Series Approximation to P and Q
      • 2.3.2 Constants in the P and Q Terms of Carson’s Equations
      • 2.3.3 Unit Conversions Associated With GMR Terms
  • 3 Shunt Admittance
    • 3.1 Linear Charge Density Along a Single Conductor
    • 3.2 Capacitance of N Conductors
    • 3.3 Shunt Admittance and Reactance Matrices
    • 3.4 Shunt Admittance Computations
      • 3.4.1 Potential Coefficient Unit Conversions
      • 3.4.2 Self Potential Unit Conversions
  • 4 Units of Measure
  • References
List of Tables:
  • 1 Range of the Constant k
  • 2 Impedance Unit Conversions
List of Figures:
  • 1 Transmission Line Geometry

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Revised: Mon, 22 Jun 2020

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