On convergence of nonlinear topological algorithms for calculation of steady modes of electric networks
The paper presents the results of a study of topological algorithms for the formation of a steady state of a complex electrical network, on the convergence of the iterative process. For a power transmission with distributed parameters, consisting of 5 nodes with a voltage of 500 kV, operating on a s...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2023-01-01
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| Series: | E3S Web of Conferences |
| Subjects: | |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/98/e3sconf_rses23_01024.pdf |
| _version_ | 1827373201537105920 |
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| author | Akhmetbaev Dauren Akhmetbaev Arman |
| author_facet | Akhmetbaev Dauren Akhmetbaev Arman |
| author_sort | Akhmetbaev Dauren |
| collection | DOAJ |
| description | The paper presents the results of a study of topological algorithms for the formation of a steady state of a complex electrical network, on the convergence of the iterative process. For a power transmission with distributed parameters, consisting of 5 nodes with a voltage of 500 kV, operating on a system of unlimited power, it is shown that there are two solutions and the need to introduce restrictions to obtain real solutions to nonlinear systems of equations. As the regime becomes heavier, the topological method ensures convergence and slow growth of the iterative process compared to the results obtained using the RASTR software package. |
| first_indexed | 2024-03-08T11:13:26Z |
| format | Article |
| id | doaj.art-72398a3a60b049e4b1ba2ca4afdd0420 |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-03-08T11:13:26Z |
| publishDate | 2023-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-72398a3a60b049e4b1ba2ca4afdd04202024-01-26T10:39:43ZengEDP SciencesE3S Web of Conferences2267-12422023-01-014610102410.1051/e3sconf/202346101024e3sconf_rses23_01024On convergence of nonlinear topological algorithms for calculation of steady modes of electric networksAkhmetbaev Dauren0Akhmetbaev Arman1L.N. Gumilyov Eurasian National UniversityJSC KazakhtelecomThe paper presents the results of a study of topological algorithms for the formation of a steady state of a complex electrical network, on the convergence of the iterative process. For a power transmission with distributed parameters, consisting of 5 nodes with a voltage of 500 kV, operating on a system of unlimited power, it is shown that there are two solutions and the need to introduce restrictions to obtain real solutions to nonlinear systems of equations. As the regime becomes heavier, the topological method ensures convergence and slow growth of the iterative process compared to the results obtained using the RASTR software package.https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/98/e3sconf_rses23_01024.pdfdirected graphtreechordcurrent distribution coefficientsnodal voltages |
| spellingShingle | Akhmetbaev Dauren Akhmetbaev Arman On convergence of nonlinear topological algorithms for calculation of steady modes of electric networks E3S Web of Conferences directed graph tree chord current distribution coefficients nodal voltages |
| title | On convergence of nonlinear topological algorithms for calculation of steady modes of electric networks |
| title_full | On convergence of nonlinear topological algorithms for calculation of steady modes of electric networks |
| title_fullStr | On convergence of nonlinear topological algorithms for calculation of steady modes of electric networks |
| title_full_unstemmed | On convergence of nonlinear topological algorithms for calculation of steady modes of electric networks |
| title_short | On convergence of nonlinear topological algorithms for calculation of steady modes of electric networks |
| title_sort | on convergence of nonlinear topological algorithms for calculation of steady modes of electric networks |
| topic | directed graph tree chord current distribution coefficients nodal voltages |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/98/e3sconf_rses23_01024.pdf |
| work_keys_str_mv | AT akhmetbaevdauren onconvergenceofnonlineartopologicalalgorithmsforcalculationofsteadymodesofelectricnetworks AT akhmetbaevarman onconvergenceofnonlineartopologicalalgorithmsforcalculationofsteadymodesofelectricnetworks |