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# Reduced Order Model of A Lumped Parameter Frequency Dependent Transmission Line

Gurrala, G and Mukherjee, P and Challa, KK (2019) Reduced Order Model of A Lumped Parameter Frequency Dependent Transmission Line. In: 2019 9th International Conference on Power and Energy Systems (ICPES), 10-12 Dec. 2019, Perth, Australia, Australia.

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Official URL: https://dx.doi.org/10.1109/ICPES47639.2019.9105401

## Abstract

Accurately fitting rational functions to the frequency response of modal impedances is very 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 a R-L equivalent circuit is obtained from rational functions to get lumped parameter transmission line model in the modal domain. A single-step method is proposed in this paper to directly fit a R-L equivalent circuit to the frequency response of modal impedances. A close enough fitting is achieved with lesser number of passive elements using the proposed method. This method is validated by comparing its EMTP-RV simulation results for a 3-Ï� 220kV line with cascaded constant lumped parameter Ï�-model and the standard frequency dependent line of EMTP-RV. Â© 2019 IEEE.

Item Type: Conference Paper 2019 9th International Conference on Power and Energy Systems, ICPES 2019 Institute of Electrical and Electronics Engineers Inc. cited By 0; Conference of 9th International Conference on Power and Energy Systems, ICPES 2019 ; Conference Date: 10 December 2019 Through 12 December 2019; Conference Code:160542 Electric lines; Equivalent circuits; Frequency response; Frequency standards; Rational functions; Transmissions, Frequency dependencies; Frequency dependent; Frequency dependent transmission lines; Lumped parameter models; Modal impedances; Reduced order models; Single-step method; Transmission line modeling, Lumped parameter networks Division of Electrical Sciences > Electrical Engineering 30 Sep 2020 10:47 30 Sep 2020 10:47 http://eprints.iisc.ac.in/id/eprint/65826

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