Asynchronous Decomposition Method for the Coordinated Operation of Virtual Power Plants
Virtual Power Plant (VPP) aggregates and coordinates community-owned renewable distributed generations (DGs) and flexibility resources for participating in power system operation. In this paper, the coordinated operation problem of VPPs and the distribution system operator (DSO) is formulated as min...
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| Vydáno v: | IEEE transactions on power systems Ročník 38; číslo 1; s. 767 - 782 |
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| Hlavní autoři: | , , , , , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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New York
IEEE
01.01.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
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| ISSN: | 0885-8950, 1558-0679 |
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| Abstract | Virtual Power Plant (VPP) aggregates and coordinates community-owned renewable distributed generations (DGs) and flexibility resources for participating in power system operation. In this paper, the coordinated operation problem of VPPs and the distribution system operator (DSO) is formulated as minimizing the total operational cost constrained by linearized three-phase power flow equations and operational constraints. To preserve the VPPs' privacy, the DSO needs to coordinate the VPPs in a distributed manner. However, conventional synchronous distributed methods may suffer from communication delays or failures because of the flimsy communication conditions between DSO and VPPs. We propose an asynchronous distributed algorithm that is robust against communication uncertainties. Firstly, a hybrid alternative direction method of multipliers (ADMM) algorithm is developed, which can be applied to convex problems with promising convergence performance. In the hybrid ADMM framework, the delayed or missing data that transmitted from VPPs are compensated by a novel predicting algorithm combining the multi-parameter quadratic programming (MPQP) and autoregressive integrated moving average model (ARIMA). We prove that the proposed algorithm can converge under imperfect communication condition with some mild assumptions. Numerical tests on IEEE 33-bus and IEEE 123-bus systems indicate that the proposed method has more reliable and faster convergence performance than existing asynchronous methods in all cases. |
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| AbstractList | Virtual Power Plant (VPP) aggregates and coordinates community-owned renewable distributed generations (DGs) and flexibility resources for participating in power system operation. In this paper, the coordinated operation problem of VPPs and the distribution system operator (DSO) is formulated as minimizing the total operational cost constrained by linearized three-phase power flow equations and operational constraints. To preserve the VPPs’ privacy, the DSO needs to coordinate the VPPs in a distributed manner. However, conventional synchronous distributed methods may suffer from communication delays or failures because of the flimsy communication conditions between DSO and VPPs. We propose an asynchronous distributed algorithm that is robust against communication uncertainties. Firstly, a hybrid alternative direction method of multipliers (ADMM) algorithm is developed, which can be applied to convex problems with promising convergence performance. In the hybrid ADMM framework, the delayed or missing data that transmitted from VPPs are compensated by a novel predicting algorithm combining the multi-parameter quadratic programming (MPQP) and autoregressive integrated moving average model (ARIMA). We prove that the proposed algorithm can converge under imperfect communication condition with some mild assumptions. Numerical tests on IEEE 33-bus and IEEE 123-bus systems indicate that the proposed method has more reliable and faster convergence performance than existing asynchronous methods in all cases. |
| Author | Wang, Guannan Liu, Haitao Xi, Yanna Wang, Qi Wu, Wenchuan Wang, Shu Zhang, Jun Wang, Bin |
| Author_xml | – sequence: 1 givenname: Qi orcidid: 0000-0002-6927-2552 surname: Wang fullname: Wang, Qi email: wangq19@mails.tsinghua.edu.cn organization: Department of Electrical Engineering, Tsinghua University, Beijing, China – sequence: 2 givenname: Wenchuan orcidid: 0000-0002-8154-2412 surname: Wu fullname: Wu, Wenchuan email: wuwench@tsinghua.edu.cn organization: Department of Electrical Engineering, Tsinghua University, Beijing, China – sequence: 3 givenname: Bin orcidid: 0000-0002-4517-4210 surname: Wang fullname: Wang, Bin email: wb1984@tsinghua.edu.cn organization: Department of Electrical Engineering, Tsinghua University, Beijing, China – sequence: 4 givenname: Guannan surname: Wang fullname: Wang, Guannan email: wgn.victor@gmail.com organization: State Grid Jibei Electric Power Company Limited, Beijing, China – sequence: 5 givenname: Yanna surname: Xi fullname: Xi, Yanna email: xiyanna@163.com organization: State Grid Beijing Electric Power Company Limited, Beijing, China – sequence: 6 givenname: Haitao surname: Liu fullname: Liu, Haitao email: liu.haitao.b@jibei.sgcc.com.cn organization: State Grid Jibei Electric Power Company Limited, Beijing, China – sequence: 7 givenname: Shu surname: Wang fullname: Wang, Shu email: jyy78872@163.com organization: State Grid Beijing Electric Power Company Limited, Beijing, China – sequence: 8 givenname: Jun surname: Zhang fullname: Zhang, Jun email: zhang.jun.d@jibei.sgcc.com.cn organization: State Grid Jibei Electric Power Company Limited, Beijing, China |
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| Cites_doi | 10.1109/TSG.2021.3136650 10.1109/TSG.2016.2547939 10.1109/TII.2017.2752464 10.1016/j.segan.2021.100475 10.1109/TPWRS.2017.2734942 10.1109/TPWRS.2017.2710481 10.1109/TSG.2018.2873650 10.1007/978-0-387-75959-3 10.1109/PESGM40551.2019.8973443 10.1109/TSG.2018.2790638 10.1109/TSTE.2017.2754421 10.1007/978-3-642-28780-0_1 10.1109/TSG.2015.2396493 10.1016/j.comcom.2013.09.004 10.1137/140990309 10.1109/TSTE.2020.2980317 10.1137/120896219 10.1109/LCOMM.2020.3002551 10.23919/PSCC.2018.8442892 10.1016/j.epsr.2017.04.010 10.1016/j.apenergy.2021.116852 10.1109/TSTE.2013.2294467 10.1109/JSAC.2014.2332131 10.1109/TSG.2020.3022792 10.1561/2200000016 10.1049/iet-gtd.2018.5649 10.1007/BF02196592 10.1109/TSG.2016.2518644 10.1007/s10107-004-0552-5 10.1007/s10107-012-0530-2 10.1109/TSP.2016.2537271 10.1109/TII.2015.2414354 10.1109/TSG.2016.2622743 10.1049/iet-gtd.2019.0697 10.1109/TPWRS.2016.2518020 10.1109/TSG.2016.2532467 10.1109/TAC.2014.2354892 10.1109/TPWRS.2019.2944541 10.1016/b978-0-12-812154-2.00011-0 10.1016/j.epsr.2020.106479 10.1109/TPWRS.2015.2503426 10.1016/j.ifacol.2018.12.103 10.1109/TCNS.2017.2657460 10.1023/A:1017522623963 10.1109/TSIPN.2016.2593896 10.1109/TPWRS.2016.2594298 10.1109/TPWRS.2021.3081120 |
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| References | ref13 ref12 ref15 ref14 ref53 Wang (ref46) 2022 ref52 ref11 ref10 ref17 ref16 ref19 ref18 Cryer (ref35) 2008 ref51 Wang (ref37) 2022 ref45 Hooghiemstra (ref50) 2001 ref48 Nesterov (ref44) 1983; 27 ref47 ref42 ref41 ref43 ref49 ref8 ref7 ref9 ref4 ref6 ref5 ref40 ref34 ref36 ref31 ref30 ref33 ref32 ref2 ref1 ref39 ref38 ref24 ref23 ref26 ref25 ref20 ref22 ref21 ref28 ref27 ref29 (ref3) 2019 |
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| SubjectTerms | Algorithms asynchronous distributed algorithm Autoregressive models Communication Constraints Convergence Costs Distributed generation Flow equations Missing data multi-parameter programming Optimization Power flow Quadratic programming Reactive power Renewable energy sources Robustness (mathematics) Virtual power plant Virtual power plants Voltage Water heating |
| Title | Asynchronous Decomposition Method for the Coordinated Operation of Virtual Power Plants |
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