Pole Identification for The Universal Line Model Based on Trace Fitting

The universal line model (ULM) is a frequency dependent transmission-line model based on the method of characteristics in the phase domain. Although the ULM is known to produce highly accurate models for both overhead lines and underground cables, situations have been encountered where the pole iden...

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Bibliographic Details
Published in:IEEE transactions on power delivery 2008-01, Vol.23 (1), p.472-479
Main Authors: Gustavsen, B., Nordstrom, J.
Format: Article
Language:English
Subjects:
Admittance
Algorithms
Applied sciences
Cables
Councils
Delay effects
Electrical engineering. Electrical power engineering
Electrical power engineering
Electromagnetic modeling
Electromagnetic transients
Exact sciences and technology
Fittings
Frequency dependence
frequency dependency
Mathematical analysis
Method of characteristics
Miscellaneous
Overhead networks
Poles
Power networks and lines
Transformations
Transmission line matrix methods
Transmission lines
transmission-line model
Underground and submarine networks
Underground cables
universal line model (ULM)
vector fitting
Vectors (mathematics)
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Summary:The universal line model (ULM) is a frequency dependent transmission-line model based on the method of characteristics in the phase domain. Although the ULM is known to produce highly accurate models for both overhead lines and underground cables, situations have been encountered where the pole identification for the propagation function fails. In this paper, we overcome the problem by basing the pole identification on trace fitting rather than mode fitting. This is achieved by introducing delayed basis functions in the vector fitting algorithm, followed by time-delay refinement and model-order reduction. In situations where the modes can be fitted without difficulty, the existing approach using modes obtained by a frequency-dependent transformation matrix remains the most accurate.
ISSN:0885-8977
1937-4208
DOI:10.1109/TPWRD.2007.911186