Newton Power Flow Methods for Unbalanced Three-Phase Distribution Networks
Two mismatch functions (power or current) and three coordinates (polar, Cartesian and complex form) result in six versions of the Newton–Raphson method for the solution of power flow problems. In this paper, five new versions of the Newton power flow method developed for single-phase problems in our...
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| Format: | Article |
| Language: | English |
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MDPI AG
2017-10-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/10/10/1658 |
| _version_ | 1811303203540566016 |
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| author | Baljinnyam Sereeter Kees Vuik Cees Witteveen |
| author_facet | Baljinnyam Sereeter Kees Vuik Cees Witteveen |
| author_sort | Baljinnyam Sereeter |
| collection | DOAJ |
| description | Two mismatch functions (power or current) and three coordinates (polar, Cartesian and complex form) result in six versions of the Newton–Raphson method for the solution of power flow problems. In this paper, five new versions of the Newton power flow method developed for single-phase problems in our previous paper are extended to three-phase power flow problems. Mathematical models of the load, load connection, transformer, and distributed generation (DG) are presented. A three-phase power flow formulation is described for both power and current mismatch functions. Extended versions of the Newton power flow method are compared with the backward-forward sweep-based algorithm. Furthermore, the convergence behavior for different loading conditions, R / X ratios, and load models, is investigated by numerical experiments on balanced and unbalanced distribution networks. On the basis of these experiments, we conclude that two versions using the current mismatch function in polar and Cartesian coordinates perform the best for both balanced and unbalanced distribution networks. |
| first_indexed | 2024-04-13T07:43:51Z |
| format | Article |
| id | doaj.art-878c06b1c55f4b2dac378e680068c227 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-04-13T07:43:51Z |
| publishDate | 2017-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-878c06b1c55f4b2dac378e680068c2272022-12-22T02:55:48ZengMDPI AGEnergies1996-10732017-10-011010165810.3390/en10101658en10101658Newton Power Flow Methods for Unbalanced Three-Phase Distribution NetworksBaljinnyam Sereeter0Kees Vuik1Cees Witteveen2Faculty of Electrical Engineering, Mathematics and Computer Science, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The NetherlandsFaculty of Electrical Engineering, Mathematics and Computer Science, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The NetherlandsFaculty of Electrical Engineering, Mathematics and Computer Science, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The NetherlandsTwo mismatch functions (power or current) and three coordinates (polar, Cartesian and complex form) result in six versions of the Newton–Raphson method for the solution of power flow problems. In this paper, five new versions of the Newton power flow method developed for single-phase problems in our previous paper are extended to three-phase power flow problems. Mathematical models of the load, load connection, transformer, and distributed generation (DG) are presented. A three-phase power flow formulation is described for both power and current mismatch functions. Extended versions of the Newton power flow method are compared with the backward-forward sweep-based algorithm. Furthermore, the convergence behavior for different loading conditions, R / X ratios, and load models, is investigated by numerical experiments on balanced and unbalanced distribution networks. On the basis of these experiments, we conclude that two versions using the current mismatch function in polar and Cartesian coordinates perform the best for both balanced and unbalanced distribution networks.https://www.mdpi.com/1996-1073/10/10/1658power flow analysisNewton–Raphson methodthree-phaseunbalanceddistribution networks |
| spellingShingle | Baljinnyam Sereeter Kees Vuik Cees Witteveen Newton Power Flow Methods for Unbalanced Three-Phase Distribution Networks Energies power flow analysis Newton–Raphson method three-phase unbalanced distribution networks |
| title | Newton Power Flow Methods for Unbalanced Three-Phase Distribution Networks |
| title_full | Newton Power Flow Methods for Unbalanced Three-Phase Distribution Networks |
| title_fullStr | Newton Power Flow Methods for Unbalanced Three-Phase Distribution Networks |
| title_full_unstemmed | Newton Power Flow Methods for Unbalanced Three-Phase Distribution Networks |
| title_short | Newton Power Flow Methods for Unbalanced Three-Phase Distribution Networks |
| title_sort | newton power flow methods for unbalanced three phase distribution networks |
| topic | power flow analysis Newton–Raphson method three-phase unbalanced distribution networks |
| url | https://www.mdpi.com/1996-1073/10/10/1658 |
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