A simplified model for nonuniform multiconductor transmission lines using the method of characteristics

Moreno, P.; Chávez, Alejandro Ramos; Naredo, J.L.

doi:10.1109/pes.2008.4596552

Cited by 1 publication

(2 citation statements)

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“…Along the characteristic lines defined by (11b), the terms in parenthesis of (13) become total derivatives, hence it can be written as

\frac{normald v_{m}}{normald t} \pm {bold-italicZ}_{W} \frac{d {bold-italici}_{m}}{d t} \pm boldΓ R_{m} i_{m} \pm {boldΓ boldΨ}_{m} = bold0

Equation (14) together with (11b) is an ODE system that represents the PDE system given by (9a) and (9b). The 2 n equations system (14) has been solved before using finite difference by spatial discretisation [12–15], which has proved to be useful when modelling non‐uniform, non‐linear and external‐field excited transmission lines, or whenever measuring voltages or currents at discrete points along the line is required. However, when dealing with uniform transmission lines for which only the terminal voltages and currents are required, spatial discretisation makes the algorithm very inefficient and computer‐time consuming.…”

Section: Methods Of Characteristicsmentioning

confidence: 99%

“…The aim of this method is to convert partial differential equations to ordinary differential equations and then solve the problem using finite differences. The method of characteristics has been used before in modelling non‐uniform, non‐linear and external field‐excited transmission lines as well as cables and machine windings [13–15]. In these cases using this method requires a time–distance discretisation mesh.…”

Section: Introductionmentioning

confidence: 99%

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