4.6 Article

Frequency-Dependent Multiconductor Transmission Line Model With Collocated Voltage and Current Propagation

Journal

IEEE TRANSACTIONS ON POWER DELIVERY
Volume 33, Issue 1, Pages 71-81

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TPWRD.2017.2691343

Keywords

MTL equations; RMTL equations; collocation of voltage and current waves; real constant transformation matrix; frequency dependent line model (FDLM); frequency dependent transmission line models in the EMTP

Funding

  1. Natural Sciences and Research Council of Canada

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This paper reviews the classical multiconductor transmission line (MTL) equations and proposes additional constraints on these equations. A fundamental physical constraint is that the voltage and current waves must be collocated and travel together with the same propagation function. Based on this condition, the Revised Multiconductor Transmission Line (RMTL) equations are proposed. As opposed to the classical MTL equations that require complex frequency-dependent transformation matrices for their diagonalization, the RMTL equations can be diagonalized very accurately using a single real constant transformation matrix. A new Frequency-Dependent Line Model (FDLM) is proposed based on the RMTL equations. FDLM is compared with the two most accepted frequency-dependent line models in the Electromagnetic Transients Program (EMTP): The JMARTI model (fdLine) that uses a constant transformation matrix as an approximation, and the phase-coordinates Universal Line Model (ULM) that fits the frequency dependence of the transformation matrices. These time-domain models are compared with a reference frequency-domain solution for a double-circuit vertical line.

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