Optimization of Lumped Parameter Models to Mitigate Numerical Oscillations in the Transient Responses of Short Transmission Lines
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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display=...
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/14/20/6534 |
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| author | Jaimis S. L. Colqui Anderson R. J. de Araújo Sérgio Kurokawa José Pissolato Filho |
| author_facet | Jaimis S. L. Colqui Anderson R. J. de Araújo Sérgio Kurokawa José Pissolato Filho |
| author_sort | Jaimis S. L. Colqui |
| collection | DOAJ |
| description | 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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>π</mi></semantics></math></inline-formula>-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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>π</mi></semantics></math></inline-formula>-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. |
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| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-10T06:36:03Z |
| publishDate | 2021-10-01 |
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| series | Energies |
| spelling | doaj.art-da5595e5e3ee4c4a9f7c51ca837c47c82023-11-22T18:04:36ZengMDPI AGEnergies1996-10732021-10-011420653410.3390/en14206534Optimization of Lumped Parameter Models to Mitigate Numerical Oscillations in the Transient Responses of Short Transmission LinesJaimis S. L. Colqui0Anderson R. J. de Araújo1Sérgio Kurokawa2José Pissolato Filho3School of Electrical and Computer Engineering, State University of Campinas (UNICAMP), Campinas 13.083-872, BrazilSchool of Electrical and Computer Engineering, State University of Campinas (UNICAMP), Campinas 13.083-872, BrazilDepartment of Electrical Enegineering, São Paulo State University (UNESP), Ilha Solteira 15.385-000, BrazilSchool of Electrical and Computer Engineering, State University of Campinas (UNICAMP), Campinas 13.083-872, BrazilThe 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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>π</mi></semantics></math></inline-formula>-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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>π</mi></semantics></math></inline-formula>-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.https://www.mdpi.com/1996-1073/14/20/6534electromagnetic transientsshort transmission lineslumped parameter modelnumerical spurious oscillations |
| spellingShingle | Jaimis S. L. Colqui Anderson R. J. de Araújo Sérgio Kurokawa José Pissolato Filho Optimization of Lumped Parameter Models to Mitigate Numerical Oscillations in the Transient Responses of Short Transmission Lines Energies electromagnetic transients short transmission lines lumped parameter model numerical spurious oscillations |
| title | Optimization of Lumped Parameter Models to Mitigate Numerical Oscillations in the Transient Responses of Short Transmission Lines |
| title_full | Optimization of Lumped Parameter Models to Mitigate Numerical Oscillations in the Transient Responses of Short Transmission Lines |
| title_fullStr | Optimization of Lumped Parameter Models to Mitigate Numerical Oscillations in the Transient Responses of Short Transmission Lines |
| title_full_unstemmed | Optimization of Lumped Parameter Models to Mitigate Numerical Oscillations in the Transient Responses of Short Transmission Lines |
| title_short | Optimization of Lumped Parameter Models to Mitigate Numerical Oscillations in the Transient Responses of Short Transmission Lines |
| title_sort | optimization of lumped parameter models to mitigate numerical oscillations in the transient responses of short transmission lines |
| topic | electromagnetic transients short transmission lines lumped parameter model numerical spurious oscillations |
| url | https://www.mdpi.com/1996-1073/14/20/6534 |
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