基于混合整数二阶锥的配电-气网联合规划
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摘要
提出了一种考虑配电网重构及小时级潮流变化的配电-气网(EGDN)联合规划模型。一方面,融入配电网重构来优化系统的运行状态,两网协同规划能发挥不同能源间的互补共济作用,提升系统的可靠性和运行效率;另一方面,所提模型考虑小时级配电网和配气网的潮流方程,以精细化描述系统的运行状态。为了求解该非线性非凸模型,适当松弛原问题,将其转换为可直接求解的混合整数二阶锥规划(MISOCP)问题。仿真结果表明所提规划模型显著提升了系统的可靠性,降低了相关设备的配置容量,减少了能量传输损耗,降低了总体规划与运行费用,证明了MISOCP模型与简单的混合整数线性规划模型相比,更能获得满足实际工程需求的规划方案。
A joint planning model of EGDN(Electricity-Gas Distribution Network) considering the reconfiguration of electricity distribution network and hourly power flow variation is proposed. On the one hand,the reconfiguration of electricity distribution network is integrated to optimize the operation state of the system,and the collaborative planning between the two networks can play a complementary and mutual role among different energy sources and improve the system's reliability and operational efficiency. On the other hand,the operation state of the system is des-cribed in detail by considering the power flow equation of electricity distribution network and gas distribution network hourly. In order to solve this non-linear non-convex model,the original problem is appropriately relaxed and converted into a MISOCP(Mixed Integer Second-Order Cone Programming) problem which can be solved directly. Simulative results show that the proposed planning model significantly improves the reliability of the system,reduces the configuration capacity of related equipment,decreases the energy transmission loss,and reduces the overall planning and operating costs. It proves that MISOCP model is more able to obtain the planning scheme meeting the actual engineering requirements,compared with the simple mixed integer linear programming model.
A joint planning model of EGDN(Electricity-Gas Distribution Network) considering the reconfiguration of electricity distribution network and hourly power flow variation is proposed. On the one hand,the reconfiguration of electricity distribution network is integrated to optimize the operation state of the system,and the collaborative planning between the two networks can play a complementary and mutual role among different energy sources and improve the system's reliability and operational efficiency. On the other hand,the operation state of the system is des-cribed in detail by considering the power flow equation of electricity distribution network and gas distribution network hourly. In order to solve this non-linear non-convex model,the original problem is appropriately relaxed and converted into a MISOCP(Mixed Integer Second-Order Cone Programming) problem which can be solved directly. Simulative results show that the proposed planning model significantly improves the reliability of the system,reduces the configuration capacity of related equipment,decreases the energy transmission loss,and reduces the overall planning and operating costs. It proves that MISOCP model is more able to obtain the planning scheme meeting the actual engineering requirements,compared with the simple mixed integer linear programming model.
引文
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[22] 赵霞,杨仑,瞿小斌,等.电-气综合能源系统能流计算的改进方法[J].电工技术学报,2018,33(3):467-477.ZHAO Xia,YANG Lun,QU Xiaobin,et al.An improved energy flow calculation method for integrated electricity and natural gas system[J].Transactions of China Electrotechnical Society,2018,33(3):467-477.
[23] SáNCHEZ C B,BENT R,BACKHAUS S,et al.Convex optimization for joint expansion planning of natural gas and power systems[C]//2016 49th Hawaii International Conference on System Sciences(HICSS).Koloa,HI,USA:IEEE,2016:2536-2545.
[24] MCCORMICK G P.Computability of global solutions to factorable nonconvex programs:Part I:Convex underestimating problems[J].Mathematical Programming,1976,10(1):147-175.
[25] 吴聪,唐巍,白牧可,等.基于能源路由器的用户侧能源互联网规划[J].电力系统自动化,2017,41(4):20-28.WU Cong,TANG Wei,BAI Muke,et al.Energy router based planning of energy internet at user side[J].Automation of Electric Power Systems,2017,41(4):20-28.
[2] 彭克,张聪,徐丙垠,等.多能协同综合能源系统示范工程现状与展望[J].电力自动化设备,2017,37(6):3-10.PENG Ke,ZHANG Cong,XU Bingyin,et al.Status and prospect of pilot projects of integrated energy system with multi-energy collaboration[J].Electric Power Automation Equipment,2017,37(6):3-10.
[3] SHAHIDEHPOUR M,FU Y,WIEDMAN T.Impact of natural gas infrastructure on electric power systems[J].Proceedings of the IEEE,2005,93(5):1042-1056.
[4] UNSIHUAY-VILA C,MARANGON-LIMA J W,SOUZA A C Z D,et al.A model to long-term,multiarea,multistage,and integrated expansion planning of electricity and natural gas systems[J].IEEE Transactions on Power Systems,2010,25(2):1154-1168.
[5] BARATI F,SEIFI H,SEPASIAN M S,et al.Multi-period integrated framework of generation,transmission,and natural gas grid expansion planning for large-scale systems[J].IEEE Transactions on Power Systems,2015,30(5):2527-2537.
[6] QIU J,DONG Z Y,ZHAO J H,et al.Multi-stage flexible expansion co-planning under uncertainties in a combined electricity and gas market[J].IEEE Transactions on Power Systems,2015,30(4):2119-2129.
[7] QIU J,YANG H,DONG Z Y,et al.A linear programming approach to expansion co-planning in gas and electricity markets[J].IEEE Transactions on Power Systems,2016,31(5):3594-3606.
[8] CHAUDRY M,JENKINS N,QADRDAN M,et al.Combined gas and electricity network expansion planning[J].Applied Energy,2014,113(6):1171-1187.
[9] QIU J,DONG Z Y,ZHAO J H,et al.Low carbon oriented expansion planning of integrated gas and power systems[J].IEEE Transactions on Power Systems,2015,30(2):1035-1046.
[10] ZHANG Y,HU Y,MA J,et al.A mixed-integer linear programming approach to security-constrained co-optimization expansion planning of natural gas and electricity transmission systems[J].IEEE Tran-sactions on Power Systems,2018,33(6):6368-6378.
[11] BENT R,BLUMSACK S,VAN HENTENRYCK P,et al.Joint electricity and natural gas transmission planning with endogenous market feedbacks[J].IEEE Transactions on Power Systems,2018,33(6):6397-6409.
[12] SALDARRIAGA C A,HINCAPIé R A,SALAZAR H.A holistic approach for planning natural gas and electricity distribution networks[J].IEEE Transactions on Power Systems,2013,28(4):4052-4063.
[13] SALDARRIAGA C A,HINCAPIE R A,SALAZAR H.An integrated expansion planning model of electric and natural gas distribution systems considering demand uncertainty[C]//Power & Energy Society General Meeting.Denver,CO,USA:IEEE,2015:1-5.
[14] CAPITANESCU F,OCHOA L F,MARGOSSIAN H,et al.Assessing the potential of network reconfiguration to improve distributed gene-ration hosting capacity in active distribution systems[J].IEEE Transactions on Power Systems,2015,30(1):346-356.
[15] 廖秋萍,吕林,刘友波,等.考虑重构的含可再生能源配电网电压控制模型与算法[J].电力系统自动化,2017,41(18):32-39.LIAO Qiuping,LüLin,LIU Youbo,et al.Reconfiguration based model and algorithm of voltage regulating for distribution network with renewable energy[J].Automation of Electric Power Systems,2017,41(18):32-39.
[16] 朱正,廖清芬,刘涤尘,等.考虑新能源与电动汽车接入下的主动配电网重构策略[J].电力系统自动化,2015,39(14):82-88,96.ZHU Zheng,LIAO Qingfen,LIU Dichen,et al.Strategy of distribu-tion network reconfiguration considering wind power and electric vehicle integration[J].Automation of Electric Power Systems,2015,39(14):82-88,96.
[17] HEIDARI S,FOTUHI-FIRUZABAD M,KAZEMI S.Power distribution network expansion planning considering distribution automation[J].IEEE Transactions on Power Systems,2015,30(3):1261-1269.
[18] ZHANG X,SHAHIDEHPOUR M,ALABDULWAHAB A,et al.Optimal expansion planning of energy hub with multiple energy infrastructures[J].IEEE Transactions on Smart Grid,2015,6(5):2302-2311.
[19] BARAN M E,WU F F.Network reconfiguration in distribution systems for loss reduction and load balancing[J].IEEE Transactions on Power Delivery,1989,4(2):1401-1407.
[20] TAYLOR J A,HOVER F S.Convex models of distribution system reconfiguration[J].IEEE Transactions on Power Systems,2012,27(3):1407-1413.
[21] LOBO M S,VANDENBERGHE L,BOYD S,et al.Applications of second-order cone programming[J].Linear Algebra & Its Applications,1998,284(1-3):193-228.
[22] 赵霞,杨仑,瞿小斌,等.电-气综合能源系统能流计算的改进方法[J].电工技术学报,2018,33(3):467-477.ZHAO Xia,YANG Lun,QU Xiaobin,et al.An improved energy flow calculation method for integrated electricity and natural gas system[J].Transactions of China Electrotechnical Society,2018,33(3):467-477.
[23] SáNCHEZ C B,BENT R,BACKHAUS S,et al.Convex optimization for joint expansion planning of natural gas and power systems[C]//2016 49th Hawaii International Conference on System Sciences(HICSS).Koloa,HI,USA:IEEE,2016:2536-2545.
[24] MCCORMICK G P.Computability of global solutions to factorable nonconvex programs:Part I:Convex underestimating problems[J].Mathematical Programming,1976,10(1):147-175.
[25] 吴聪,唐巍,白牧可,等.基于能源路由器的用户侧能源互联网规划[J].电力系统自动化,2017,41(4):20-28.WU Cong,TANG Wei,BAI Muke,et al.Energy router based planning of energy internet at user side[J].Automation of Electric Power Systems,2017,41(4):20-28.
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