Robust transmission expansion planning using pair-based convex hull uncertainty sets under high penetration of renewable energy generation
Robust optimization is a practical and effective mathematical framework for coping with uncertainty in the transmission expansion planning (TEP) process, while computing the full convex hull is an outstanding data-driven means of searching for robust boundaries in the uncertainty sets employed in ro...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-11-01
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| Series: | Energy Reports |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2352484722006400 |
| _version_ | 1797902009780666368 |
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| author | Xin Yin Haoyong Chen Zipeng Liang Qianya He |
| author_facet | Xin Yin Haoyong Chen Zipeng Liang Qianya He |
| author_sort | Xin Yin |
| collection | DOAJ |
| description | Robust optimization is a practical and effective mathematical framework for coping with uncertainty in the transmission expansion planning (TEP) process, while computing the full convex hull is an outstanding data-driven means of searching for robust boundaries in the uncertainty sets employed in robust TEP processes. However, computing the full convex hull becomes intractable as the number of uncertain factors increases. This study addresses this issue by proposing a two-stage, four-level robust TEP model with uncertainty sets constructed using pair-based convex hulls. Employing a pair-based convex hull enables high-dimensional uncertainty to be characterized by constructing multiple low-dimensional uncertainty sets, and thereby decreases the computational burden associated with solving the robust TEP model while reducing the conservativeness of planning solutions. The model is then solved by means of a parallel column and constraint generation method. The proposed model is demonstrated to characterize the high-dimensional uncertainty efficiently and provide TEP solutions with relatively low conservativeness and high robustness based on numerical simulations of Garver’s 6-bus and IEEE 118-bus test systems. |
| first_indexed | 2024-04-10T09:11:01Z |
| format | Article |
| id | doaj.art-6e6b6855eb854884b696f3b8a9789d14 |
| institution | Directory Open Access Journal |
| issn | 2352-4847 |
| language | English |
| last_indexed | 2024-04-10T09:11:01Z |
| publishDate | 2022-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Energy Reports |
| spelling | doaj.art-6e6b6855eb854884b696f3b8a9789d142023-02-21T05:10:55ZengElsevierEnergy Reports2352-48472022-11-01844914501Robust transmission expansion planning using pair-based convex hull uncertainty sets under high penetration of renewable energy generationXin Yin0Haoyong Chen1Zipeng Liang2Qianya He3School of Electric Power, South China University of Technology, Tianhe District Wushan Road No. 381, 510640, ChinaSchool of Electric Power, South China University of Technology, Tianhe District Wushan Road No. 381, 510640, China; Correspondence to: School of Electric Power, South China University of Technology, Guangzhou Tianhe District Wushan Road No. 381, 510640, ChinaSchool of Electrical Engineering and Telecommunications, the University of New South Wales, 330 Anzac Parade, Sydney, Kensington NSW, 2033, AustraliaSchool of Electric Power, South China University of Technology, Tianhe District Wushan Road No. 381, 510640, ChinaRobust optimization is a practical and effective mathematical framework for coping with uncertainty in the transmission expansion planning (TEP) process, while computing the full convex hull is an outstanding data-driven means of searching for robust boundaries in the uncertainty sets employed in robust TEP processes. However, computing the full convex hull becomes intractable as the number of uncertain factors increases. This study addresses this issue by proposing a two-stage, four-level robust TEP model with uncertainty sets constructed using pair-based convex hulls. Employing a pair-based convex hull enables high-dimensional uncertainty to be characterized by constructing multiple low-dimensional uncertainty sets, and thereby decreases the computational burden associated with solving the robust TEP model while reducing the conservativeness of planning solutions. The model is then solved by means of a parallel column and constraint generation method. The proposed model is demonstrated to characterize the high-dimensional uncertainty efficiently and provide TEP solutions with relatively low conservativeness and high robustness based on numerical simulations of Garver’s 6-bus and IEEE 118-bus test systems.http://www.sciencedirect.com/science/article/pii/S2352484722006400High-dimensional uncertaintyRobust optimizationTransmission expansion planningPair-based convex hullTwo-loop column and constraint generation method |
| spellingShingle | Xin Yin Haoyong Chen Zipeng Liang Qianya He Robust transmission expansion planning using pair-based convex hull uncertainty sets under high penetration of renewable energy generation Energy Reports High-dimensional uncertainty Robust optimization Transmission expansion planning Pair-based convex hull Two-loop column and constraint generation method |
| title | Robust transmission expansion planning using pair-based convex hull uncertainty sets under high penetration of renewable energy generation |
| title_full | Robust transmission expansion planning using pair-based convex hull uncertainty sets under high penetration of renewable energy generation |
| title_fullStr | Robust transmission expansion planning using pair-based convex hull uncertainty sets under high penetration of renewable energy generation |
| title_full_unstemmed | Robust transmission expansion planning using pair-based convex hull uncertainty sets under high penetration of renewable energy generation |
| title_short | Robust transmission expansion planning using pair-based convex hull uncertainty sets under high penetration of renewable energy generation |
| title_sort | robust transmission expansion planning using pair based convex hull uncertainty sets under high penetration of renewable energy generation |
| topic | High-dimensional uncertainty Robust optimization Transmission expansion planning Pair-based convex hull Two-loop column and constraint generation method |
| url | http://www.sciencedirect.com/science/article/pii/S2352484722006400 |
| work_keys_str_mv | AT xinyin robusttransmissionexpansionplanningusingpairbasedconvexhulluncertaintysetsunderhighpenetrationofrenewableenergygeneration AT haoyongchen robusttransmissionexpansionplanningusingpairbasedconvexhulluncertaintysetsunderhighpenetrationofrenewableenergygeneration AT zipengliang robusttransmissionexpansionplanningusingpairbasedconvexhulluncertaintysetsunderhighpenetrationofrenewableenergygeneration AT qianyahe robusttransmissionexpansionplanningusingpairbasedconvexhulluncertaintysetsunderhighpenetrationofrenewableenergygeneration |