Accurate computation of transient profiles along multiconductor transmission systems by means of the numerical laplace transform

Rodrigo Nuricumbo-Guillen, Pablo Gomez, Fermin P. Espino-Cortes, Felipe A. Uribe

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

© 2014 IEEE. In this paper, transient internal profiles along multiconductor transmission lines are obtained from a model described in the q-s domain (spatial frequencyoral frequency). In such domain, the telegrapher equations of the line are defined in a direct algebraic form. Applying boundary conditions, these equations can be easily solved for V (q,s) and I (q,s). Then, the inverse numerical Laplace transform is applied successively (twice) to obtain v (z,t) and i (z,t), that is, the voltage and current profiles along the line. Besides, since the line's electrical parameters are defined in the frequency domain, the frequency dependence of such parameters is included in a straightforward manner. Test cases corresponding to an overhead line, a transformer winding, an underground power cable, and a transmission network are evaluated in order to demonstrate the accuracy and versatility of the proposed method. The results are compared with those obtained with Alternative Transients Program/Electromagnetic Transients Program and PSCAD/EMTDC at specific points along the transmission systems under analysis, given that the space discretization is cumbersome and prone to error accumulation in these time-domain simulation programs.
Original languageAmerican English
Pages (from-to)2385-2393
Number of pages2145
JournalIEEE Transactions on Power Delivery
DOIs
StatePublished - 1 Oct 2014

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Electromagnetic Phenomena
Laplace transforms
Transformer windings
Overhead lines
Electric power transmission networks
Electric lines
Cables
Boundary conditions
Electric potential

Cite this

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abstract = "{\circledC} 2014 IEEE. In this paper, transient internal profiles along multiconductor transmission lines are obtained from a model described in the q-s domain (spatial frequencyoral frequency). In such domain, the telegrapher equations of the line are defined in a direct algebraic form. Applying boundary conditions, these equations can be easily solved for V (q,s) and I (q,s). Then, the inverse numerical Laplace transform is applied successively (twice) to obtain v (z,t) and i (z,t), that is, the voltage and current profiles along the line. Besides, since the line's electrical parameters are defined in the frequency domain, the frequency dependence of such parameters is included in a straightforward manner. Test cases corresponding to an overhead line, a transformer winding, an underground power cable, and a transmission network are evaluated in order to demonstrate the accuracy and versatility of the proposed method. The results are compared with those obtained with Alternative Transients Program/Electromagnetic Transients Program and PSCAD/EMTDC at specific points along the transmission systems under analysis, given that the space discretization is cumbersome and prone to error accumulation in these time-domain simulation programs.",
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Accurate computation of transient profiles along multiconductor transmission systems by means of the numerical laplace transform. / Nuricumbo-Guillen, Rodrigo; Gomez, Pablo; Espino-Cortes, Fermin P.; Uribe, Felipe A.

In: IEEE Transactions on Power Delivery, 01.10.2014, p. 2385-2393.

Research output: Contribution to journalArticle

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N2 - © 2014 IEEE. In this paper, transient internal profiles along multiconductor transmission lines are obtained from a model described in the q-s domain (spatial frequencyoral frequency). In such domain, the telegrapher equations of the line are defined in a direct algebraic form. Applying boundary conditions, these equations can be easily solved for V (q,s) and I (q,s). Then, the inverse numerical Laplace transform is applied successively (twice) to obtain v (z,t) and i (z,t), that is, the voltage and current profiles along the line. Besides, since the line's electrical parameters are defined in the frequency domain, the frequency dependence of such parameters is included in a straightforward manner. Test cases corresponding to an overhead line, a transformer winding, an underground power cable, and a transmission network are evaluated in order to demonstrate the accuracy and versatility of the proposed method. The results are compared with those obtained with Alternative Transients Program/Electromagnetic Transients Program and PSCAD/EMTDC at specific points along the transmission systems under analysis, given that the space discretization is cumbersome and prone to error accumulation in these time-domain simulation programs.

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