Research on distributionally robust optimization method considering the flexibility of power grids along CZ railway
To avoid the problem of insufficient flexibility of the power grid along the cz railway due to source-load fluctuations, a distributionally robust optimization method considering flexibility is proposed in this paper. Firstly, Wasserstein distance is used to establish the uncertainty set of flexibil...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-03-01
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| Series: | Energy Reports |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S235248472202371X |
| _version_ | 1797843862143631360 |
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| author | Jiawei Liu Min Li Jing Gou Wenhao Sun Qiao Zhang Zhigang Liu |
| author_facet | Jiawei Liu Min Li Jing Gou Wenhao Sun Qiao Zhang Zhigang Liu |
| author_sort | Jiawei Liu |
| collection | DOAJ |
| description | To avoid the problem of insufficient flexibility of the power grid along the cz railway due to source-load fluctuations, a distributionally robust optimization method considering flexibility is proposed in this paper. Firstly, Wasserstein distance is used to establish the uncertainty set of flexibility demand caused by source-load fluctuation, and a risk-cost model of insufficient flexibility is constructed to couple to the objective function. Combined with the flexibility chance constraint, the flexibility over-limit probability is limited to a certain confidence level in the fuzzy set, and a distributionally robust chance constraint optimization model based on Wasserstein distance is established. Then, the proposed model is transformed into a linear programming problem to be solved by dual theory and inner approximation transformation. Finally, a simulation study of the power grid along the CZ railway is carried out to verify the correctness and effectiveness of the model. The experimental results show that the proposed method can improve the flexibility capacity of the system without sacrificing economy. |
| first_indexed | 2024-04-09T17:12:53Z |
| format | Article |
| id | doaj.art-9c8f3f523d4b4fa99a37336a68f3036a |
| institution | Directory Open Access Journal |
| issn | 2352-4847 |
| language | English |
| last_indexed | 2024-04-09T17:12:53Z |
| publishDate | 2023-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Energy Reports |
| spelling | doaj.art-9c8f3f523d4b4fa99a37336a68f3036a2023-04-20T04:36:55ZengElsevierEnergy Reports2352-48472023-03-019495504Research on distributionally robust optimization method considering the flexibility of power grids along CZ railwayJiawei Liu0Min Li1Jing Gou2Wenhao Sun3Qiao Zhang4Zhigang Liu5State Grid Sichuan Economic Research Institute, Chengdu, 610041, ChinaState Grid Sichuan Economic Research Institute, Chengdu, 610041, ChinaState Grid Sichuan Economic Research Institute, Chengdu, 610041, ChinaSchool of Electrical Engineering, Southwest Jiaotong University, Chengdu, 611756, China; Corresponding author.School of Electrical Engineering, Southwest Jiaotong University, Chengdu, 611756, ChinaSchool of Electrical Engineering, Southwest Jiaotong University, Chengdu, 611756, ChinaTo avoid the problem of insufficient flexibility of the power grid along the cz railway due to source-load fluctuations, a distributionally robust optimization method considering flexibility is proposed in this paper. Firstly, Wasserstein distance is used to establish the uncertainty set of flexibility demand caused by source-load fluctuation, and a risk-cost model of insufficient flexibility is constructed to couple to the objective function. Combined with the flexibility chance constraint, the flexibility over-limit probability is limited to a certain confidence level in the fuzzy set, and a distributionally robust chance constraint optimization model based on Wasserstein distance is established. Then, the proposed model is transformed into a linear programming problem to be solved by dual theory and inner approximation transformation. Finally, a simulation study of the power grid along the CZ railway is carried out to verify the correctness and effectiveness of the model. The experimental results show that the proposed method can improve the flexibility capacity of the system without sacrificing economy.http://www.sciencedirect.com/science/article/pii/S235248472202371XCZ railwayFlexibilityWasserstein distanceChance constraintsDistributionally robust |
| spellingShingle | Jiawei Liu Min Li Jing Gou Wenhao Sun Qiao Zhang Zhigang Liu Research on distributionally robust optimization method considering the flexibility of power grids along CZ railway Energy Reports CZ railway Flexibility Wasserstein distance Chance constraints Distributionally robust |
| title | Research on distributionally robust optimization method considering the flexibility of power grids along CZ railway |
| title_full | Research on distributionally robust optimization method considering the flexibility of power grids along CZ railway |
| title_fullStr | Research on distributionally robust optimization method considering the flexibility of power grids along CZ railway |
| title_full_unstemmed | Research on distributionally robust optimization method considering the flexibility of power grids along CZ railway |
| title_short | Research on distributionally robust optimization method considering the flexibility of power grids along CZ railway |
| title_sort | research on distributionally robust optimization method considering the flexibility of power grids along cz railway |
| topic | CZ railway Flexibility Wasserstein distance Chance constraints Distributionally robust |
| url | http://www.sciencedirect.com/science/article/pii/S235248472202371X |
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