Optimization of Lumped Parameter Models to Mitigate Numerical Oscillations in the Transient Responses of Short Transmission Lines

Jaimis S. L. Colqui, Anderson R. J. de Araújo, Sérgio Kurokawa and José Pissolato Filho
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Jaimis S. L. Colqui: School of Electrical and Computer Engineering, State University of Campinas (UNICAMP), Campinas 13.083-872, Brazil
Anderson R. J. de Araújo: School of Electrical and Computer Engineering, State University of Campinas (UNICAMP), Campinas 13.083-872, Brazil
Sérgio Kurokawa: Department of Electrical Enegineering, São Paulo State University (UNESP), Ilha Solteira 15.385-000, Brazil
José Pissolato Filho: School of Electrical and Computer Engineering, State University of Campinas (UNICAMP), Campinas 13.083-872, Brazil

Energies, 2021, vol. 14, issue 20, 1-20

Abstract: The Lumped Parameter Model (LPM) is a known approach to represent overhead transmission lines (TLs), especially when these elements comprehend a few tens of kilometers. LPMs employ a large number of cascaded π -circuits to compute accurately the transient responses. These responses contain numerical spurious oscillations (NSO) characterized by erroneous peaks which distort the transient responses, mainly their peak values. Two modified LPM topologies composed of damping resistances inserted along the longitudinal or transversal branches of the cascaded π -circuits offer significant mitigations in the NSO. In this paper, in an effort to have the maximum mitigation of the NSO and low distortion in the transient responses, two modified topologies with optimized damping resistances are proposed to represent short TLs. Results demonstrate expressive attenuation in the peaks of NSO which reflect good agreement in comparison with the responses computed by the Bergeron’s line model. The mitigation of the NSO is carried out directly in the time domain and it does not require either analog or digital filters.Furthermore, no frequency-to-time transformations are necessary in this procedure. These alternative topologies can be incorporated into any electromagnetic transient program to study switching operations in power systems.

Keywords: electromagnetic transients; short transmission lines; lumped parameter model; numerical spurious oscillations (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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