An algorithm for fitting passive equivalent circuits for lumped parameter frequency dependent transmission line models
Abstract Accurately fitting rational functions to the frequency response of modal impedances is crucial for including frequency dependency in lumped parameter models of transmission lines. Vector fitting is widely used for fitting rational functions to the frequency response of modal impedances and...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-08-01
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| Series: | IET Generation, Transmission & Distribution |
| Subjects: | |
| Online Access: | https://doi.org/10.1049/gtd2.12172 |
| _version_ | 1818050521486852096 |
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| author | Kiran Kumar Challa Gurunath Gurrala Pritam Mukherjee |
| author_facet | Kiran Kumar Challa Gurunath Gurrala Pritam Mukherjee |
| author_sort | Kiran Kumar Challa |
| collection | DOAJ |
| description | Abstract Accurately fitting rational functions to the frequency response of modal impedances is crucial for including frequency dependency in lumped parameter models of transmission lines. Vector fitting is widely used for fitting rational functions to the frequency response of modal impedances and then an R‐L equivalent circuit is obtained from the rational functions. A single‐step method based on the properties of Foster equivalent circuit is proposed to directly fit an R‐L equivalent circuit to the frequency response of modal impedances. The positive peaks, negative peaks and the positive zero crossings of the slope change plot of the frequency response are found to provide a good approximation of zeros, poles and the flat region locations of the frequency response. An enhanced fitting algorithm is proposed based on these observations. A close enough fitting is achieved using the proposed method with less number of passive elements. Using the proposed model in EMTP‐RV, 400, 765, 1200 kV transmission lines and a 11‐bus 500 kV network are simulated for switching transients. The results are compared with the constant parameter cascaded π‐model and the Frequency‐dependent line model in EMTP‐RV. The switching transient results of the proposed model are found to be comparable to the Marti's model in EMTP‐RV. |
| first_indexed | 2024-12-10T10:54:48Z |
| format | Article |
| id | doaj.art-7db65464184143a488647010c613b687 |
| institution | Directory Open Access Journal |
| issn | 1751-8687 1751-8695 |
| language | English |
| last_indexed | 2024-12-10T10:54:48Z |
| publishDate | 2021-08-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Generation, Transmission & Distribution |
| spelling | doaj.art-7db65464184143a488647010c613b6872022-12-22T01:51:54ZengWileyIET Generation, Transmission & Distribution1751-86871751-86952021-08-0115152226223910.1049/gtd2.12172An algorithm for fitting passive equivalent circuits for lumped parameter frequency dependent transmission line modelsKiran Kumar Challa0Gurunath Gurrala1Pritam Mukherjee2Department of Electrical Engineering Indian Institute of Science Bangalore IndiaDepartment of Electrical Engineering Indian Institute of Science Bangalore IndiaDepartment of Electrical Engineering Indian Institute of Science Bangalore IndiaAbstract Accurately fitting rational functions to the frequency response of modal impedances is crucial for including frequency dependency in lumped parameter models of transmission lines. Vector fitting is widely used for fitting rational functions to the frequency response of modal impedances and then an R‐L equivalent circuit is obtained from the rational functions. A single‐step method based on the properties of Foster equivalent circuit is proposed to directly fit an R‐L equivalent circuit to the frequency response of modal impedances. The positive peaks, negative peaks and the positive zero crossings of the slope change plot of the frequency response are found to provide a good approximation of zeros, poles and the flat region locations of the frequency response. An enhanced fitting algorithm is proposed based on these observations. A close enough fitting is achieved using the proposed method with less number of passive elements. Using the proposed model in EMTP‐RV, 400, 765, 1200 kV transmission lines and a 11‐bus 500 kV network are simulated for switching transients. The results are compared with the constant parameter cascaded π‐model and the Frequency‐dependent line model in EMTP‐RV. The switching transient results of the proposed model are found to be comparable to the Marti's model in EMTP‐RV.https://doi.org/10.1049/gtd2.12172Interpolation and function approximation (numerical analysis)Power systemsPower transmission lines and cablesInterpolation and function approximation (numerical analysis)Power engineering computing |
| spellingShingle | Kiran Kumar Challa Gurunath Gurrala Pritam Mukherjee An algorithm for fitting passive equivalent circuits for lumped parameter frequency dependent transmission line models IET Generation, Transmission & Distribution Interpolation and function approximation (numerical analysis) Power systems Power transmission lines and cables Interpolation and function approximation (numerical analysis) Power engineering computing |
| title | An algorithm for fitting passive equivalent circuits for lumped parameter frequency dependent transmission line models |
| title_full | An algorithm for fitting passive equivalent circuits for lumped parameter frequency dependent transmission line models |
| title_fullStr | An algorithm for fitting passive equivalent circuits for lumped parameter frequency dependent transmission line models |
| title_full_unstemmed | An algorithm for fitting passive equivalent circuits for lumped parameter frequency dependent transmission line models |
| title_short | An algorithm for fitting passive equivalent circuits for lumped parameter frequency dependent transmission line models |
| title_sort | algorithm for fitting passive equivalent circuits for lumped parameter frequency dependent transmission line models |
| topic | Interpolation and function approximation (numerical analysis) Power systems Power transmission lines and cables Interpolation and function approximation (numerical analysis) Power engineering computing |
| url | https://doi.org/10.1049/gtd2.12172 |
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