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An algorithm for fitting passive equivalent circuits for lumped parameter frequency dependent transmission line models

Challa, KK and Gurrala, G and Mukherjee, P (2021) An algorithm for fitting passive equivalent circuits for lumped parameter frequency dependent transmission line models. In: IET Generation, Transmission and Distribution .

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Official URL: https://doi.org/10.1049/gtd2.12172

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 (Formula presented.) -model and the universal 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. © 2021 The Authors. IET Generation, Transmission & Distribution published by John Wiley & Sons Ltd on behalf of The Institution of Engineering and Technology

Item Type: Journal Article
Publication: IET Generation, Transmission and Distribution
Publisher: John Wiley and Sons Inc
Additional Information: The copyright for this article belongs to John Wiley and Sons Inc
Keywords: Electric lines; Equivalent circuits; Frequency response; Rational functions; Timing circuits; Transmission line theory, Constant parameters; Fitting algorithms; Frequency dependencies; Frequency dependent transmission lines; Lumped parameter models; Single-step method; Switching transient; Universal line model, Lumped parameter networks
Department/Centre: Division of Electrical Sciences > Electrical Engineering
Date Deposited: 26 Mar 2021 09:53
Last Modified: 26 Mar 2021 09:53
URI: http://eprints.iisc.ac.in/id/eprint/68597

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