Learning the LMP-Load Coupling From Data: A Support Vector Machine Based Approach
This paper investigates the fundamental coupling between loads and locational marginal prices (LMPs) in security-constrained economic dispatch (SCED). Theoretical analysis based on multi-parametric programming theory points out the unique one-to-one mapping between load and LMP vectors. Such one-to-...
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| Vydané v: | IEEE transactions on power systems Ročník 32; číslo 2; s. 1127 - 1138 |
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| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
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IEEE
01.03.2017
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| ISSN: | 0885-8950, 1558-0679 |
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| Abstract | This paper investigates the fundamental coupling between loads and locational marginal prices (LMPs) in security-constrained economic dispatch (SCED). Theoretical analysis based on multi-parametric programming theory points out the unique one-to-one mapping between load and LMP vectors. Such one-to-one mapping is depicted by the concept of system pattern region (SPR) and identifying SPRs is the key to understanding the LMP-load coupling. Built upon the characteristics of SPRs, the SPR identification problem is modeled as a classification problem from a market participant's viewpoint, and a Support Vector Machine based data-driven approach is proposed. It is shown that even without the knowledge of system topology and parameters, the SPRs can be estimated by learning from historical load and price data. Visualization and illustration of the proposed data-driven approach are performed on a 3-bus system as well as the IEEE 118-bus system. |
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| AbstractList | This paper investigates the fundamental coupling between loads and locational marginal prices (LMPs) in security-constrained economic dispatch (SCED). Theoretical analysis based on multi-parametric programming theory points out the unique one-to-one mapping between load and LMP vectors. Such one-to-one mapping is depicted by the concept of system pattern region (SPR) and identifying SPRs is the key to understanding the LMP-load coupling. Built upon the characteristics of SPRs, the SPR identification problem is modeled as a classification problem from a market participant's viewpoint, and a Support Vector Machine based data-driven approach is proposed. It is shown that even without the knowledge of system topology and parameters, the SPRs can be estimated by learning from historical load and price data. Visualization and illustration of the proposed data-driven approach are performed on a 3-bus system as well as the IEEE 118-bus system. |
| Author | Le Xie Xinbo Geng |
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| CitedBy_id | crossref_primary_10_1109_ACCESS_2020_2969549 crossref_primary_10_1109_TCNS_2020_3044258 crossref_primary_10_1109_TPWRS_2021_3106263 crossref_primary_10_1109_MPE_2018_2793479 crossref_primary_10_1109_TPWRS_2019_2921611 crossref_primary_10_1109_TPWRS_2016_2572138 crossref_primary_10_1109_TPWRS_2022_3167096 crossref_primary_10_1109_TSG_2020_3011266 crossref_primary_10_1109_TPWRS_2021_3125624 |
| Cites_doi | 10.1023/B:JOTA.0000004869.66331.5c 10.1109/PESGM.2015.7285827 10.1109/TPWRS.2011.2123118 10.1109/TPWRS.2004.825894 10.1007/BF01758841 10.1109/61.517499 10.1109/TPWRS.2009.2023268 10.1109/TPWRS.2007.907521 10.1007/BF00133356 10.1109/TPWRS.2010.2051168 10.1109/TPWRS.2016.2572138 10.1287/mnsc.18.7.406 10.1109/TPWRS.2009.2016599 10.1109/TPWRS.2011.2149548 10.1109/HICSS.2015.306 10.1214/aos/1028144844 10.1109/TPWRS.2005.857918 |
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| SubjectTerms | Couplings Economics Generators Locational marginal prices (LMPs) Programming security constrained economic dispatch (SCED) support vector machine (SVM) Support vector machines system pattern region Topology Transmission line matrix methods |
| Title | Learning the LMP-Load Coupling From Data: A Support Vector Machine Based Approach |
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