Master-Slave-Splitting Based Distributed Global Power Flow Method for Integrated Transmission and Distribution Analysis
With the recent rapid development of smart grid technology, the distribution grids become more active, and the interaction between transmission and distribution grids becomes more significant. However, in traditional power flow calculations, transmission and distribution grids are separated, which i...
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| Published in: | IEEE transactions on smart grid Vol. 6; no. 3; pp. 1484 - 1492 |
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| Main Authors: | , , , , , |
| Format: | Journal Article |
| Language: | English |
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IEEE
01.05.2015
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| ISSN: | 1949-3053, 1949-3061 |
| Online Access: | Get full text |
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| Abstract | With the recent rapid development of smart grid technology, the distribution grids become more active, and the interaction between transmission and distribution grids becomes more significant. However, in traditional power flow calculations, transmission and distribution grids are separated, which is not suitable for such future smart grids. To achieve a global unified power flow solution to support an integrated analysis for both transmission and distribution grids, we propose a global power flow (GPF) method that considers transmission and distribution grids as a whole in this paper. We construct GPF equations, and develop a master-slave-splitting (MSS) iterative method with convergence guarantee to alleviate boundary mismatches between the transmission and distribution grids. In our method, the GPF problem is split into a transmission power flow and a number of distribution power flow sub-problems, which supports on-line geographically distributed computation. Each sub-problem can be solved using a different power flow algorithm to capture the different features of transmission and distribution grids. An equivalent method is proposed to improve the convergence of the MSS-based GPF calculation for distribution grids that include loops. Numerical simulations validate the effectiveness of the proposed method, in particular when the distribution grid has loops or distributed generators. |
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| AbstractList | With the recent rapid development of smart grid technology, the distribution grids become more active, and the interaction between transmission and distribution grids becomes more significant. However, in traditional power flow calculations, transmission and distribution grids are separated, which is not suitable for such future smart grids. To achieve a global unified power flow solution to support an integrated analysis for both transmission and distribution grids, we propose a global power flow (GPF) method that considers transmission and distribution grids as a whole in this paper. We construct GPF equations, and develop a master-slave-splitting (MSS) iterative method with convergence guarantee to alleviate boundary mismatches between the transmission and distribution grids. In our method, the GPF problem is split into a transmission power flow and a number of distribution power flow sub-problems, which supports on-line geographically distributed computation. Each sub-problem can be solved using a different power flow algorithm to capture the different features of transmission and distribution grids. An equivalent method is proposed to improve the convergence of the MSS-based GPF calculation for distribution grids that include loops. Numerical simulations validate the effectiveness of the proposed method, in particular when the distribution grid has loops or distributed generators. |
| Author | Zhengshuo Li Ye Guo Hongbin Sun Jianhui Wang Boming Zhang Qinglai Guo |
| Author_xml | – sequence: 1 givenname: Hongbin surname: Sun fullname: Sun, Hongbin – sequence: 2 givenname: Qinglai surname: Guo fullname: Guo, Qinglai – sequence: 3 givenname: Boming surname: Zhang fullname: Zhang, Boming – sequence: 4 givenname: Ye surname: Guo fullname: Guo, Ye – sequence: 5 givenname: Zhengshuo surname: Li fullname: Li, Zhengshuo – sequence: 6 givenname: Jianhui surname: Wang fullname: Wang, Jianhui |
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| Cites_doi | 10.1016/j.epsr.2011.03.001 10.1109/HICSS.1997.663231 10.1109/59.317563 10.1109/TPWRD.2010.2094627 10.1109/TPWRS.2007.901476 10.1109/TPAS.1982.317385 10.1109/59.486141 10.1016/j.epsr.2008.10.003 10.1109/ICPST.2008.4745299 10.1109/59.544627 10.1109/61.193906 10.1109/59.373979 10.1109/TPWRS.2006.876696 10.1109/59.260926 10.1016/S0378-7796(02)00094-9 10.1109/61.19265 10.1109/61.97741 10.1109/59.99396 10.1109/61.141868 10.1109/59.192932 10.1109/61.85860 10.1016/0142-0615(89)90039-2 10.1109/67.318916 10.1109/TPWRD.2010.2042825 10.1109/TPAS.1970.292566 |
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| SubjectTerms | Convergence Distributed computation distribution grid Equations integrated transmission and distribution Iterative methods master--slave-splitting (MSS) Mathematical model power flow Power systems Sensitivity transmission grid Vectors |
| Title | Master-Slave-Splitting Based Distributed Global Power Flow Method for Integrated Transmission and Distribution Analysis |
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