Networked Microgrids Planning Through Chance Constrained Stochastic Conic Programming
This paper presents a chance constrained stochastic conic program model for networked microgrids planning. Under a two-stage optimization framework, we integrate a multi-site microgrids investment problem and two sets of operational problems that correspond to the grid-connected and islanding modes,...
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| Vydané v: | IEEE transactions on smart grid Ročník 10; číslo 6; s. 6619 - 6628 |
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| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
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IEEE
01.11.2019
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
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| ISSN: | 1949-3053, 1949-3061 |
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| Abstract | This paper presents a chance constrained stochastic conic program model for networked microgrids planning. Under a two-stage optimization framework, we integrate a multi-site microgrids investment problem and two sets of operational problems that correspond to the grid-connected and islanding modes, respectively. To handle the uncertain nature of renewable energy generation and load variation, as well as the contingent islanding caused by external disruptions, stochastic scenarios are employed to capture randomness and a joint chance constraint is introduced to control the operational risks. A second-order conic program (SOCP) formulation is also utilized to accurately describe the AC optimal power flow (OPF) in operational problems. As the resulting mixed integer SOCP model is computationally difficult, we customize the bilinear Benders decomposition with non-trivial enhancement techniques to deal with practical instances. Numerical results on 5- and 69-bus networked microgrids demonstrate the effectiveness of the proposed planning model and the superior performance of our solution algorithm. |
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| AbstractList | Not provided. This paper presents a chance constrained stochastic conic program model for networked microgrids planning. Under a two-stage optimization framework, we integrate a multi-site microgrids investment problem and two sets of operational problems that correspond to the grid-connected and islanding modes, respectively. To handle the uncertain nature of renewable energy generation and load variation, as well as the contingent islanding caused by external disruptions, stochastic scenarios are employed to capture randomness and a joint chance constraint is introduced to control the operational risks. A second-order conic program (SOCP) formulation is also utilized to accurately describe the AC optimal power flow (OPF) in operational problems. As the resulting mixed integer SOCP model is computationally difficult, we customize the bilinear Benders decomposition with non-trivial enhancement techniques to deal with practical instances. Numerical results on 5- and 69-bus networked microgrids demonstrate the effectiveness of the proposed planning model and the superior performance of our solution algorithm. |
| Author | Wang, Jianxue Zeng, Bo Cao, Xiaoyu |
| Author_xml | – sequence: 1 givenname: Xiaoyu orcidid: 0000-0003-2775-1026 surname: Cao fullname: Cao, Xiaoyu email: cxykeven2013@stu.xjtu.edu.cn organization: School of Electrical Engineering, Xi'an Jiaotong University, Xi'an, China – sequence: 2 givenname: Jianxue orcidid: 0000-0002-0596-0815 surname: Wang fullname: Wang, Jianxue email: jxwang@mail.xjtu.edu.cn organization: School of Electrical Engineering, Xi'an Jiaotong University, Xi'an, China – sequence: 3 givenname: Bo orcidid: 0000-0002-8689-4281 surname: Zeng fullname: Zeng, Bo email: bzeng@pitt.edu organization: Department of Industrial Engineering, University of Pittsburgh, Pittsburgh, PA, USA |
| BackLink | https://www.osti.gov/biblio/1801328$$D View this record in Osti.gov |
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| Cites_doi | 10.1109/TSG.2017.2726941 10.1002/etep.2238 10.1109/TPWRS.2017.2747625 10.1049/iet-rpg.2017.0278 10.1109/61.19265 10.1016/j.rser.2016.10.047 10.1287/opre.29.3.464 10.1109/TSTE.2015.2442832 10.1109/TSG.2017.2776407 10.1109/TPWRS.2014.2361094 10.1109/TPWRS.2014.2369452 10.1109/TII.2017.2769656 10.1109/TPWRS.2017.2768302 10.1109/TSG.2015.2427513 10.1109/TPWRS.2012.2237043 10.1109/SEDST.2015.7315197 10.1049/iet-rpg.2016.0934 10.1016/j.sorms.2010.08.001 10.1109/IEEESTD.2011.5960751 10.1016/j.tej.2012.09.013 10.1109/TSTE.2014.2376356 10.1109/TSG.2016.2607422 10.1109/TPWRS.2006.879234 10.1109/TPWRS.2013.2290006 10.1016/j.orl.2008.01.005 10.1109/JPROC.2017.2685558 10.1287/mnsc.6.2.197 10.1287/educ.1080.0052 10.1109/TPWRS.2013.2255317 10.1109/TSG.2014.2329846 10.1007/s10479-012-1110-9 10.1109/TCNS.2014.2309732 10.1109/TSG.2016.2552642 10.4236/epe.2013.54B033 10.1109/TSG.2015.2456834 10.1109/TSTE.2017.2748882 10.1109/TAC.2014.2332712 10.1016/j.rser.2018.03.040 10.1109/TSTE.2015.2512819 10.1109/MPE.2017.2688599 10.1109/TSTE.2016.2599848 10.1109/TSG.2016.2601448 10.1109/TSG.2014.2321748 10.1109/TPWRS.2017.2734942 |
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| SubjectTerms | Algorithms Benders decomposition bilinear Benders decomposition chance constrained stochastic program Computational modeling Constraints Electric power distribution Electric power grids Electric power systems Engineering Investment Islanding Microgrids Mixed integer multi-site resource planning Networked microgrids Operational problems Optimization Planning Power flow Randomness second-order conic program Stochastic processes Uncertainty |
| Title | Networked Microgrids Planning Through Chance Constrained Stochastic Conic Programming |
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