考虑风电场接入的输电网与储能扩展鲁棒规划
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摘要
本文考虑含风电场的输电网结构优化,提出了一种输电网与储能联合扩展规划方法。基于鲁棒优化思想,采用不确定性集合刻画负荷需求和风电出力的随机特征。考虑因风电场出力以及负荷不确定性导致的极端场景,建立了一种自适应min-max-min鲁棒规划模型,基于此实现输电线路、储能以及输电网结构的优化。针对所建立的模型,采用了基于原始剖切面的分解算法对模型进行求解,将鲁棒规划模型分解为主模型和从模型,使得非凸问题转变为便用直接使用CPLEX求解器的混合整数线性规划问题。基于IEEE 24-bus测试系统对所提方法进行仿真验证,优化结果证明了所提出方法的有效性。
This paper proposes a joint expansion planning method for transmission network and energy storage considering the optimization of transmission network structure with wind farms. The set of uncertainties is used to characterize the random features related to load demand and the wind power output based on robust optimization. Considering the extreme conditions caused by wind farm output and load uncertainty, a self-adaptive min-max-min robust planning model is proposed to optimize the robust expansion planning scheme and structure scheme of transmission lines and energy storage. This paper proposes a decomposition algorithm based on the original section plane for the proposed model. The robust planning model is devided into master model and slave model, then the non-convex problem can be transformed to a mix integer liner programming problem, which can be solved by CPLEX directly. The proposed method is verified by simulation on an IEEE 24-node system, and the optimization results demonstrate the effectiveness of the proposed method.
This paper proposes a joint expansion planning method for transmission network and energy storage considering the optimization of transmission network structure with wind farms. The set of uncertainties is used to characterize the random features related to load demand and the wind power output based on robust optimization. Considering the extreme conditions caused by wind farm output and load uncertainty, a self-adaptive min-max-min robust planning model is proposed to optimize the robust expansion planning scheme and structure scheme of transmission lines and energy storage. This paper proposes a decomposition algorithm based on the original section plane for the proposed model. The robust planning model is devided into master model and slave model, then the non-convex problem can be transformed to a mix integer liner programming problem, which can be solved by CPLEX directly. The proposed method is verified by simulation on an IEEE 24-node system, and the optimization results demonstrate the effectiveness of the proposed method.
引文
[1] 洪绍云,程浩忠,曾平良,等.输电网扩展优化规划研究综述[J].电网技术,2016,40(10):3102-3107.HONG Shaoyun,CHENG Haozhong,ZENG Pingliang,et al.Review of transmission network expansion optimization planning [J].Power System Technology,2016,40(10):3102-3107.
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[8] JABR R A.Robust transmission network expansion planning with uncertain renewable generation and loads [J].IEEE Transactions on Power Systems,2013,28(4):4558-4567.
[9] 甘磊,谷纪亭,钟宇军,等.考虑多形态间歇性电源集中接入的输电网随机双层规划方法[J].电网技术,2016,40(10):3125-3131.GAN Lei,GU Jiting,ZHONG Yujun,et al.Bi-level stochastic planning method of transmission networks with multiple centralized intermittent generations [J].Power System Technology,2016,40(10):3125-3131.
[10] BARINGO L,CONEJO A J.Transmission and wind power investment [J].IEEE Transactions on Power Systems,2012,27(2):885-893.
[11] BERTSIMAS D,BROWN D B,CARAMANIS C.Theory and applications of robust optimization [J].SIAM Review,2010,53(3):464-501.
[12] BARINGO L,CONEJO A J.Correlated wind-power production and electric load scenarios for investment decisions [J].Applied Energy,2013,101(1):475-482.
[13] BEAUDIN M,ZAREIPOUR H,SCHELLENBERGLABE A,et al.Energy storage for mitigating the variability of renewable electricity sources:an updated review [J].Energy for Sustainable Development,2010,14(4):302-314.
[14] ZHANG F,HU Z,SONG Y.Mixed-integer linear model for transmission expansion planning with line losses and energy storage systems [J].IET Generation Transmission & Distribution,2013,7(8):919-928.
[15] POZO D,CONTRERAS J,SAUMA E E.Unit commitment with ideal and generic energy storage units [J].IEEE Transactions on Power Systems,2014,29(6):2974-2984.
[16] MACEDO L H,FRANCO J F,RIDER M J,et al.Optimal operation of distribution networks considering energy storage devices [J].IEEE Transactions on Smart Grid,2015,6(6):2825-2836.
[17] LEVRON Y,GUERRERO J M,BECK Y.Optimal power flow in microgrids with energy storage [J].IEEE Transactions on Power Systems,2013,28(3):3226-3234.
[18] KHODAEI A,SHAHIDEHPOUR M,KAMALINIA S.Transmission switching in expansion planning [J].IEEE Transactions on Power Systems,2010,25(3):1722-1733.
[19] 李昀昊,王建学,曹晓宇,等.面向风电场-储能-输电网联合规划的机会约束IGDT模型[J/OL].电网技术,2018,1-10 [2019- 01- 01].DOI:10.13335/j.1000-3673.pst.2018.1929.LI Junhao,WANG Jianxue,CAO Xiaoyu,et.al,A chance-constrained IGDT model for joint planning of wind farm,energy storage and transmission[J/OL] Power System Technology,2018,1-10 [2019- 01- 01].DOI:10.13335/j.1000-3673.pst.2018.1929.
[20] 黄启航,王秀丽,齐世雄,等.考虑负荷和风电相关性的多场景鲁棒输电网规划[J].电力建设,2018,39(6):63-70.HUANG Qihang,WANG Xiuli,QI Shixiong,et al.Multi-scenario robust transmission planning considering correlation between wind power and load demand [J].Electric Power Construction,2018,39(6):63-70.
[21] JABR R A,D?AFI.Robust optimization of storage investment on transmission networks [J].IEEE Transactions on Power Systems,2014,30(1):531-539.
[22] CHEN L Y,COHN A,FAN N,et al.Contingency-risk informed power system design [J].IEEE Transactions on Power Systems,2014,29(5):2087-2096.
[23] ZENG B,ZHAO L.Solving two-stage robust optimization problems using a column-and-constraint generation method [J].Operations Research Letters,2013,41(5):457-461.
[24] SCHNEIDER A W.The IEEE reliability test system [J].IEEE Transactions on Power Systems,1999,14(3):1019-1020.
[25] FALUGI P,KONSTANTELOS I,STRBAC G.Planning with multiple transmission and storage investment options under uncertainty:a nested decomposition approach [J].IEEE Transactions on Power Systems,2018,33(4):3559-3572.
[2] 程浩忠,李隽,吴耀武,等.考虑高比例可再生能源的交直流输电网规划挑战与展望[J].电力系统自动化,2017,41(9):19-27.CHENG Haozhong,LI Jun,WU Yaowu,et al.Challenges and prospects for AC/DC transmission expansion planning considering high proportion of renewable energy [J].Automation of Electric Power Systems,2017,41(9):19-27.
[3] 陈伟,刘莹,刘晓宇.考虑网架对短路电流适应性的输电网扩展规划[J].四川电力技术,2018,41(1):74-82.CHEN Wei,LIU Ying,LIU Xiaoyu.Transmission expansion planning considering adaptability of grid to short-circuit current [J].Sichuan Electric Power Technology,2018,41(1):74-82.
[4] 徐谦,方卜珣,兰洲,等.输电网规划模型中失负荷概率约束的嵌入及转换方法研究[J].电网技术,2018,42(6):1760-1767.LIU Qian,FANG Buxun,LAN Zhou,et al.Deterministic transformation of LOLP-constraints in transmission system planning model [J].Power System Technology,2018,42(6):1760-1767.
[5] 于慧莉,李勤新,丛颖,等.基于熵权和归一化样本的输电网规划方案灰色模糊综合决策方法[J].华电技术,2014,36(3):12-16.YU Huili,LI Qinxin,CONG Ying,et al.Gray fuzzy comprehensive decision method of power grid planning scheme based on entropy weight and normalized sample [J].Huadian Technology,2014,36(3):12-16.
[6] 付蓉,魏萍,万秋兰,等.市场环境下基于Benders分解的输电网规划决策[J].电力系统及其自动化学报,2006,18(6):1-5.FU Rong,WEI Ping,WAN Qiulan,et al.Transmission expansion planning decision based on benders decomposition under market environment [J].Proceedings of the CSU-EPSA,2006,18(6):1-5.
[7] 黄启航,王秀丽,齐世雄,等.考虑负荷和风电相关性的多场景鲁棒输电网规划[J].电力建设,2018,39(6):63-70.HUANG Qihang,WANG Xiuli,QI Shixiong,et al.Multi-scenario robust transmission planning considering correlation between wind power and load demand [J].Electric Power Construction,2018,39(6):63-70.
[8] JABR R A.Robust transmission network expansion planning with uncertain renewable generation and loads [J].IEEE Transactions on Power Systems,2013,28(4):4558-4567.
[9] 甘磊,谷纪亭,钟宇军,等.考虑多形态间歇性电源集中接入的输电网随机双层规划方法[J].电网技术,2016,40(10):3125-3131.GAN Lei,GU Jiting,ZHONG Yujun,et al.Bi-level stochastic planning method of transmission networks with multiple centralized intermittent generations [J].Power System Technology,2016,40(10):3125-3131.
[10] BARINGO L,CONEJO A J.Transmission and wind power investment [J].IEEE Transactions on Power Systems,2012,27(2):885-893.
[11] BERTSIMAS D,BROWN D B,CARAMANIS C.Theory and applications of robust optimization [J].SIAM Review,2010,53(3):464-501.
[12] BARINGO L,CONEJO A J.Correlated wind-power production and electric load scenarios for investment decisions [J].Applied Energy,2013,101(1):475-482.
[13] BEAUDIN M,ZAREIPOUR H,SCHELLENBERGLABE A,et al.Energy storage for mitigating the variability of renewable electricity sources:an updated review [J].Energy for Sustainable Development,2010,14(4):302-314.
[14] ZHANG F,HU Z,SONG Y.Mixed-integer linear model for transmission expansion planning with line losses and energy storage systems [J].IET Generation Transmission & Distribution,2013,7(8):919-928.
[15] POZO D,CONTRERAS J,SAUMA E E.Unit commitment with ideal and generic energy storage units [J].IEEE Transactions on Power Systems,2014,29(6):2974-2984.
[16] MACEDO L H,FRANCO J F,RIDER M J,et al.Optimal operation of distribution networks considering energy storage devices [J].IEEE Transactions on Smart Grid,2015,6(6):2825-2836.
[17] LEVRON Y,GUERRERO J M,BECK Y.Optimal power flow in microgrids with energy storage [J].IEEE Transactions on Power Systems,2013,28(3):3226-3234.
[18] KHODAEI A,SHAHIDEHPOUR M,KAMALINIA S.Transmission switching in expansion planning [J].IEEE Transactions on Power Systems,2010,25(3):1722-1733.
[19] 李昀昊,王建学,曹晓宇,等.面向风电场-储能-输电网联合规划的机会约束IGDT模型[J/OL].电网技术,2018,1-10 [2019- 01- 01].DOI:10.13335/j.1000-3673.pst.2018.1929.LI Junhao,WANG Jianxue,CAO Xiaoyu,et.al,A chance-constrained IGDT model for joint planning of wind farm,energy storage and transmission[J/OL] Power System Technology,2018,1-10 [2019- 01- 01].DOI:10.13335/j.1000-3673.pst.2018.1929.
[20] 黄启航,王秀丽,齐世雄,等.考虑负荷和风电相关性的多场景鲁棒输电网规划[J].电力建设,2018,39(6):63-70.HUANG Qihang,WANG Xiuli,QI Shixiong,et al.Multi-scenario robust transmission planning considering correlation between wind power and load demand [J].Electric Power Construction,2018,39(6):63-70.
[21] JABR R A,D?AFI.Robust optimization of storage investment on transmission networks [J].IEEE Transactions on Power Systems,2014,30(1):531-539.
[22] CHEN L Y,COHN A,FAN N,et al.Contingency-risk informed power system design [J].IEEE Transactions on Power Systems,2014,29(5):2087-2096.
[23] ZENG B,ZHAO L.Solving two-stage robust optimization problems using a column-and-constraint generation method [J].Operations Research Letters,2013,41(5):457-461.
[24] SCHNEIDER A W.The IEEE reliability test system [J].IEEE Transactions on Power Systems,1999,14(3):1019-1020.
[25] FALUGI P,KONSTANTELOS I,STRBAC G.Planning with multiple transmission and storage investment options under uncertainty:a nested decomposition approach [J].IEEE Transactions on Power Systems,2018,33(4):3559-3572.