Admittance-based modelling of cables and overhead lines by idempotent decomposition

被引:2
作者
Camara, Felipe [1 ]
Lima, Antonio C. S. [2 ]
de Barros, Maria Teresa Correia [3 ]
da Silva, Filipe Faria [1 ]
Bak, Claus L. [1 ]
机构
[1] Aalborg Univ, Aalborg, Denmark
[2] Univ Fed Rio de Janeiro, Rio De Janeiro, Brazil
[3] Univ Lisbon, Lisbon, Portugal
关键词
Cable; Electromagnetic transients; Idempotent decomposition; Modelling; Overhead line; Vector fitting; ELECTROMAGNETIC TRANSIENTS; TRANSMISSION-LINES; RATIONAL APPROXIMATION; DOMAIN CALCULATION; MULTIPORT SYSTEMS; FREQUENCY; PHASE; IMPLEMENTATION; TRANSFORMATION; SIMULATION;
D O I
10.1016/j.epsr.2023.109596
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper presents a new modelling approach based on idempotent decomposition of the nodal admittance matrix for representation of cables and overhead lines (OHL). By subjecting the idempotent matrices rather than the nodal admittance matrix to rational fitting, the poor observability of the smallest eigenvalues in the lower frequency range is overcome. Unlike the well-known method of characteristics (MoC), this alternative representation yields a so general fully-coupled admittance matrix suitable to tackle scenarios encompassing short and long lengths. Besides retaining the frequency dependence of parameters, the proposed phase-domain model showed to be accurate and suitable to circumvent the requirement of small time-steps.
引用
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页数:7
相关论文
共 46 条
[1]   DIRECT PHASE-DOMAIN CALCULATION OF TRANSMISSION-LINE TRANSIENTS USING 2-SIDED RECURSIONS [J].
ANGELIDIS, G ;
SEMLYEN, A .
IEEE TRANSACTIONS ON POWER DELIVERY, 1995, 10 (02) :941-949
[2]   Multi-scale formulation of admittance-based modeling of cables [J].
Camara, Felipe ;
Lima, Antonio C. S. ;
Strunz, Kai .
ELECTRIC POWER SYSTEMS RESEARCH, 2021, 195
[3]   Pjase-domain multiphase transmission line models [J].
Castellanos, F ;
Marti, JR ;
Marcano, F .
INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS, 1997, 19 (04) :241-248
[4]  
Castellanos F., 1995, International Conference on Power Systems Transients. IPST '95 Proceedings, P17
[5]   Partitioned Fitting and DC Correction for the Simulation of Electromagnetic Transients in Transmission Lines/Cables [J].
Cervantes, Miguel ;
Kocar, Ilhan ;
Mahseredjian, Jean ;
Ramirez, Abner .
IEEE TRANSACTIONS ON POWER DELIVERY, 2018, 33 (06) :3246-3248
[6]   Analysis of harmonics in subsea power transmission cables used in VSC-HVDC transmission systems operating under steady-state conditions [J].
Chien, Chang Hsin ;
Bucknall, Richard W. G. .
IEEE TRANSACTIONS ON POWER DELIVERY, 2007, 22 (04) :2489-2497
[7]   Macromodeling of multiport systems using a fast implementation of the vector fitting method [J].
Deschrijver, Dirk ;
Mrozowski, Michal ;
Dhaene, Tom ;
De Zutter, Daniel .
IEEE MICROWAVE AND WIRELESS COMPONENTS LETTERS, 2008, 18 (06) :383-385
[8]   Phase-domain transmission line models considering frequency-dependent transformation matrices [J].
Fernandes, AB ;
Neves, WLA .
IEEE TRANSACTIONS ON POWER DELIVERY, 2004, 19 (02) :708-714
[9]   Rational approximation of frequency domain responses by vector fitting [J].
Gustavsen, B ;
Semlyen, A .
IEEE TRANSACTIONS ON POWER DELIVERY, 1999, 14 (03) :1052-1061
[10]   Validation of frequency-dependent transmission line models [J].
Gustavsen, B .
IEEE TRANSACTIONS ON POWER DELIVERY, 2005, 20 (02) :925-933