56 | 0 | 1176 |
下载次数 | 被引频次 | 阅读次数 |
分布式电源的广泛应用显著增加了配电网的复杂性,配电网与微电网(群)之间的协同有助于促进分布式能源消纳,但传统优化方法难以应对大规模非凸最优潮流问题,难以有效处理大规模系统的计算复杂性。为此,提出了一种基于半正定规划的配电网-微电网群分层调度方法,通过减少半正定矩阵约束的计算量,显著提高了半正定规划松弛模型的求解效率。实验结果表明,该方法在处理大规模电力系统时具有明显的计算优势,有助于推动电力系统最优潮流问题的进一步研究。
Abstract:The widespread adoption of distributed energy resources(DER) has significantly increased the complexity of distribution networks. Coordination between distribution networks and microgrid(s) can facilitate the integration of distributed energy, but traditional optimization methods struggle to address large-scale non-convex optimal power flow(OPF) problems and effectively handle the computational complexity of large-scale systems. To address this, a hierarchical dispatch method for distribution networks and microgrid clusters based on semidefinite programming(SDP) is proposed. By reducing the computational burden of semidefinite matrix constraints, the solving efficiency of the SDP relaxation model is significantly improved. Experimental results demonstrate that the proposed method exhibits notable computational advantages when applied to large-scale power systems, contributing to further research on OPF problems in power systems.
[1]万灿,崔文康,宋永华.新能源电力系统概率预测:基本概念与数学原理[J].中国电机工程学报,2021,41(19):6493-6509.WAN Can,CUI Wenkang,SONG Yonghua.Probabilistic forecasting for power systems with renewable energy sources:basic concepts and mathematical principles[J].Proceedings of the CSEE,2021,41(19):6493-6509.
[2]郭剑波,王铁柱,罗魁,等.新型电力系统面临的挑战及应对思考[J].新型电力系统,2023(1):32-43.GUO Jianbo,WANG Tiezhu,LUO Kui,et al. Development of new power systems:challenges and solutions[J].New Type Power Systems,2023(1):32-43.
[3]李志浩,倪筹帷,陈哲,等.考虑信息交互的微电网群分布式经济调度方法[J].浙江电力,2023,42(10):8-16.LI Zhihao,NI Chouwei,CHEN Zhe,et al.Distributed economic dispatching method for microgrid clusters considering information interaction[J]. Zhejiang Electric Power,2023,42(10):8-16.
[4]赵奇,吕洋,王毅,等.考虑微电网灵活调节潜力的主动配电网鲁棒优化[J].浙江电力,2022,41(1):55-63.ZHAO Qi,LYU Yang,WANG Yi,et al.Robust optimization of active distribution networks considering the flexible regulation potential of microgrids[J]. Zhejiang Electric Power,2022,41(1):55-63.
[5]陈哲,李山林,林达,等.考虑拓扑切换暂态波动的微电网群分布式协同控制策略[J].浙江电力,2023,42(11):1-10.CHEN Zhe,LI Shanlin,LIN Da,et al.A distributed cooperative control strategy for MGC considering transient fluctuations in topology switching[J]. Zhejiang Electric Power,2023,42(11):1-10.
[6]梅府贤,李昀熠,万灿,等.计及交互功率不确定性和柔性负荷的输配协同优化调度[J].高电压技术,2024,50(8):3521-3535.MEI Fuxian,LI Yunyi,WAN Can,et al.Coordinated optimal dispatch for transmission and distribution networks considering interactive power uncertainty and flexible load[J].High Voltage Engineering,2024,50(8):3521-3535.
[7] CARPENTIER J. Contribution to the economic dispatch problem[J].Bulletin Society Francaise Electriciens,1962,3(8):431-447.
[8]刘承锡,徐慎凯,赖秋频.基于全纯嵌入法的非迭代电力系统最优潮流计算[J].电工技术学报,2023,38(11):2870-2882.LIU Chengxi,XU Shenkai,LAI Qiupin.Non-iterative optimal power flow calculation based on holomorphic embedding method[J]. Transactions of China Electrotechnical Society,2023,38(11):2870-2882.
[9]孙乾皓,张耀,周一丹,等.基于半正定规划的交直流主动配电网三相有功无功联合优化[J].电工技术学报,2024,39(9):2608-2620.SUN Qianhao,ZHANG Yao,ZHOU Yidan,et al.Threephase active-reactive power optimization of AC-DC active distribution network based on semi-definite programming[J].Transactions of China Electrotechnical Society,2024,39(9):2608-2620.
[10]巨云涛,黄炎,张若思.基于二阶锥规划凸松弛的三相交直流混合主动配电网最优潮流[J].电工技术学报,2021,36(9):1866-1875.JU Yuntao,HUANG Yan,ZHANG Ruosi. Optimal power flow of three-phase hybrid AC-DC in active distribution network based on second order cone programming[J].Transactions of China Electrotechnical Society,2021,36(9):1866-1875.
[11]林哲,胡泽春,宋永华.最优潮流问题的凸松弛技术综述[J].中国电机工程学报,2019,39(13):3717-3728.LIN Zhe,HU Zechun,SONG Yonghua. Convex relaxation for optimal power flow problem:a recent review[J].Proceedings of the CSEE,2019,39(13):3717-3728.
[12]田君杨,韦化,白晓清.半定规划优潮流的并行计算方法[J].电网技术,2014,38(1):175-180.TIAN Junyang,WEI Hua,BAI Xiaoqing.A parallel computational method for optimal power flow in semidefinite programming[J].Power System Technology,2014,38(1):175-180.
[13] HIJAZI H,COFFRIN C,VAN HENTENRYCK P.Polynomial SDP cuts for optimal power flow[C]//2016Power Systems Computation Conference(PSCC). June20-24,2016,Genoa,Italy.IEEE,2016:1-7.
[14] FAZEL M,HINDI H,BOYD S P.Log-det heuristic for matrix rank minimization with applications to Hankel and Euclidean distance matrices[C]//Proceedings of the 2003American Control Conference,2003.June 4-6,2003,Denver,CO,USA.IEEE,2003:2156-2162.
[15] MADANI R,ASHRAPHIJUO M,LAVAEI J.Promises of conic relaxation for contingency-constrained optimal power flow problem[J].IEEE Transactions on Power Systems,2016,31(2):1297-1307.
[16]郑佳滨,刘明波,谢敏.求解含储能装置的微电网动态最优潮流的对偶半定规划方法[J].电网技术,2017,41(9):2879-2887.ZHENG Jiabin,LIU Mingbo,XIE Min.Dual semi-definite programming method for dynamic optimal power flow with energy storage device[J]. Power System Technology,2017,41(9):2879-2887.
[17]张世旭,苗世洪,杨炜晨,等.基于自适应步长ADMM的配电网分布式鲁棒优化调度策略[J].高电压技术,2021,47(1):81-93.ZHANG Shixu,MIAO Shihong,YANG Weichen,et al.Distributed robust optimal dispatch for active distribution networks based on alternative direction method of multipliers with dynamic step size[J].High Voltage Engineering,2021,47(1):81-93.
[18] TOH K C,TODD M J,TüTüNCüR H. SDPT3:a Matlab software package for semidefinite programming,Version 1.3[J]. Optimization Methods and Software,1999,11(1/2/3/4):545-581.
基本信息:
DOI:10.19585/j.zjdl.202506004
中图分类号:TM73
引用信息:
[1]陈哲,李志浩,唐雅洁等.基于半正定规划松弛的配-微电网协同调度方法[J].浙江电力,2025,44(06):41-49.DOI:10.19585/j.zjdl.202506004.
基金信息:
国家电网有限公司科技项目(5400-202319829A-4-1-KJ)