Construction of equivalents of large equations systems of electrical network based on matrix annulators
An original method of reducing the equations of node voltages is proposed with the aim of equivalence of the electric network. The method is based on the matrix transformations of the indicated equations with the help of matrix annulators. It is shown that this method, in comparison with the traditi...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2017-01-01
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| Series: | E3S Web of Conferences |
| Online Access: | https://doi.org/10.1051/e3sconf/20172503002 |
| _version_ | 1818919146112417792 |
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| author | Gadzhiev Magomed Misrikhanov Misrikhan Ryabchenko Vladimir Sharov Yuriy |
| author_facet | Gadzhiev Magomed Misrikhanov Misrikhan Ryabchenko Vladimir Sharov Yuriy |
| author_sort | Gadzhiev Magomed |
| collection | DOAJ |
| description | An original method of reducing the equations of node voltages is proposed with the aim of equivalence of the electric network. The method is based on the matrix transformations of the indicated equations with the help of matrix annulators. It is shown that this method, in comparison with the traditional one, makes it possible to improve the conditionality of the solved equations by an order of magnitude or more. This has a significant effect on the numerical stability of the resulting electrical network equivalents. The results of reduction of a small, large, and very large system of nodal stress equations are presented. |
| first_indexed | 2024-12-20T01:01:13Z |
| format | Article |
| id | doaj.art-f67ab0cabf5f4a6eb5ac787fc0288ea1 |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-12-20T01:01:13Z |
| publishDate | 2017-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-f67ab0cabf5f4a6eb5ac787fc0288ea12022-12-21T19:59:00ZengEDP SciencesE3S Web of Conferences2267-12422017-01-01250300210.1051/e3sconf/20172503002e3sconf_rses2017_03002Construction of equivalents of large equations systems of electrical network based on matrix annulatorsGadzhiev MagomedMisrikhanov MisrikhanRyabchenko VladimirSharov YuriyAn original method of reducing the equations of node voltages is proposed with the aim of equivalence of the electric network. The method is based on the matrix transformations of the indicated equations with the help of matrix annulators. It is shown that this method, in comparison with the traditional one, makes it possible to improve the conditionality of the solved equations by an order of magnitude or more. This has a significant effect on the numerical stability of the resulting electrical network equivalents. The results of reduction of a small, large, and very large system of nodal stress equations are presented.https://doi.org/10.1051/e3sconf/20172503002 |
| spellingShingle | Gadzhiev Magomed Misrikhanov Misrikhan Ryabchenko Vladimir Sharov Yuriy Construction of equivalents of large equations systems of electrical network based on matrix annulators E3S Web of Conferences |
| title | Construction of equivalents of large equations systems of electrical network based on matrix annulators |
| title_full | Construction of equivalents of large equations systems of electrical network based on matrix annulators |
| title_fullStr | Construction of equivalents of large equations systems of electrical network based on matrix annulators |
| title_full_unstemmed | Construction of equivalents of large equations systems of electrical network based on matrix annulators |
| title_short | Construction of equivalents of large equations systems of electrical network based on matrix annulators |
| title_sort | construction of equivalents of large equations systems of electrical network based on matrix annulators |
| url | https://doi.org/10.1051/e3sconf/20172503002 |
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