风电全消纳下的配电网储能可调鲁棒优化配置

4 结论

本文构建了基于风电全消纳的配电网储能系统可调鲁棒规划模型,然后进行适当处理使其转化为易于求解的等价模型。最终通过算例仿真得出以下结论：

1)由于考虑了风电出力的不确定性,鲁棒规划中储能的容量配置会适当提高,从而使系统在实际运行过程中风电出力出现不确定波动时,能有效降低主网购电成本以及网损成本。可调参数的引入使得规划人员能够根据实际情况设定总调节参数,从而获得更具经济性的规划方案。

2)对于配电网,储能系统可在低电价时段存储电能留待高电价时段使用,能够减少高电价时段向主网的购电量,降低运行成本。

3)储能的配置容量与风速预测误差有关,预测误差越大,系统的储能需求越大。

4)通过对模型进行二阶锥松弛以及拉格朗日对偶,使得原问题转化为易于求解的单层凸规划问题,且转化误差能够满足规划要求。

表A1 单个储能单元参数

Tab. A1 Parameters of a single ESS unit

图A1 IEEE-33节点配电网系统

Fig. A1 Structure of IEEE 33-node distribution system

图A2 总有功负荷波动

Fig. A2 Active Load demand

图A3 风速波动区间

Fig. A3 Wind speed fluctuation interval

参考文献

[1] Yuan Y,Zhang X S,Ju P,et al.Determination of economic dispatch of wind  farm-battery energy storage system using genetic algorithm[J].International  Transactions on Electrical Energy Systems,2014,24(2):264-280.

[2] 王成山,于波,肖峻,等.平滑可再生能源发电系统输出波动的储能系统容量优化方法[J].中国电机工程学报,2012,32(16):1-8.  Wang Chengshan,Yu Bo,XiaoJun,et al.Hybrid energy storage system and control  system design for wind power balancing[J].Proceedings of the  CSEE,2012,32(16):1-8(in Chinese).

[3] 胡永强,刘晨亮,赵书强,等.基于模糊相关机会规划的储能优化控制[J].电力系统自动化,2014,38(6):20-25. Hu  Yongqiang,Liu Chenliang,ZhaoShuqiang,et al.Optimal control of energy storage  based on fuzzy correlated-chance programming[J].Automation of Electric Power  Systems,2014,38(6):20-25(in Chinese).

[4] Jiang Q,Gong Y,Wang H.A battery energy storage system dual-layer  control strategy for mitigating windfarm fluctuations[J].IEEE Transactions on  Power Systems,2013,28(3):3263-3273.

[5] 杨水丽,李建林,惠东,等.用于跟踪风电场计划出力的电池储能系统容量优化配置[J].电网技术,2014,38(6):1485-1491.  Yang Shuili,Li Jianlin,Hui Dong,et al.Optimal capacity configuration of battery  energy storage system to track planned output of wind farm[J].Power System  Technology,2014,38(6):1485-1491(in Chinese).

[6] Hartmann B,Dan A.Cooperation of a grid-connected wind farm and an  energy storage unit-demonstration of a simulation tool[J].IEEE Trans on  Sustainable Energy,2012,3(1):49-56.

[7] 兑潇玮,朱桂萍,刘艳章.考虑预测误差的风电场储能配置优化方法[J].电网技术,2017,41(2):434-439. Dui  Xiaowei,Zhu Guiping,Liu Yanzhang.Research on battery storage sizing for wind  farm considering fore error[J].Power System Technology,2017,41(2):434-439(in  Chinese).

[8]  赵书强,王扬,徐岩,等.基于机会约束目标规划的高风电接入比例下大规模储能与火电协调调度[J].中国电机工程学报,2016,36(4):969-977. Zhao  Shuqiang,Wang Yang,Xu Yan,et al.Coordinated dispatch of large scale energy  storage system and thermal generation in high wind power penetration level  system based on chance constrained goal programming[J].Proceedings of the  CSEE,2016,36(4):969-977(in Chinese).

[9]  黎静华,文劲宇,程时杰,等.基于p_有效点理论的含大规模风电电力系统最小储能功率配置方法[J].中国电机工程学报,2013,33(13):45-52. Li  Jinghua,Wen Jinyu,Cheng Shijie,et al.Method of minimum energy storage power  allocation for electric power systems with large-scale wind power based on  p-efficient point theory[J].Proceedings of the CSEE,2013,33(13):45-52(in  Chinese).

[10]  郑乐,胡伟,陆秋瑜,等.储能系统用于提高风电接入的规划和运行综合优化模型[J].中国电机工程学报,2014,34(16):2533-2542. Zheng  Le,Hu Wei,Lu Qiuyu,et al.Research on planning and operation model for energy  storage system to optimize wind power integration[J].Proceedings of the  CSEE,2014,34(16):2533-2542(in Chinese).

[11] Dutta S,Sharma R.Optimal storage sizing for integrating wind and load  fore uncertainties[C]//Innovative Smart Grid Technologies  (ISGT).IEEE,2012:1-7.

[12] Zhang N,Kang C Q,Kirschen D S,et al.Planning pumped storage capacity  for wind power integration[J].IEEE Transactions on Sustainable  Energy,2013,4(2):393-401.

[13] 崔杨,朱加明,葛延峰,等.计及限风特性与经济性的大规模集中充放电储能系统容量配置研究[J].电网技术,2016,40(2):484-490.  Cui Yang,Zhu Jiaming,Ge Yanfeng,et al.Study on capacity configuration of  large-scale energy storage system under concentrated ge and disge based  on wind curtailment acteristics and economics[J].Power System  Technology,2016,40(2):484-490(in Chinese).

[14] Abbey C,Joós G.A stochastic optimization approach to rating of energy  storage systems in wind-diesel isolated grids[J].IEEE Transactions on Power  Systems,2009,24(1):418-426.

[15] 张沈习,程浩忠,邢海军,等.配电网中考虑不确定性的分布式电源规划研究综述[J].电力自动化设备,2016,36(8):1-9. Zhang  Shenxi,Cheng Haozhong,Xing Haijun,et al.Review of DG planning considering  uncertainties for distribution network[J].Electric Power Automation  Equipment,2016,36(8):1-9(in Chinese).

[16] 韩杏宁,黎嘉明,文劲宇,等.含多风电场的电力系统储能鲁棒优化配置方法[J].中国电机工程学报,2015,35(9):2120-2127.  Han Xingning,Li Jiaming,Wen Jinyu,et al.Optimization for robust energy storage  allocation in power system with multiple wind farms integrated[J].Proceedings of  the CSEE,2015,35(9):2120-2127(in Chinese).

[17] Ding Tao,Liu Shiyu,Yuan Wei,et al.A two-stage robust reactive power  optimization considering uncertain wind power integration in active distribution  networks[J].IEEE Transactions on Sustainable Energy,2016,7(1):301-311.

[18] Peng Xiong,Panida Jirutitijaroen,Chanan Singh.A distributionally  robust optimization model for unit commitment considering uncertain wind power  generation[J].IEEE Transactions on Power Systems,2017,32(1):39-49.

[19]  向月,刘俊勇,魏震波,等.考虑可再生能源出力不确定性的微电网能量优化鲁棒模型[J].中国电机工程学报,2014,34(19):3063-3072. Xiang  Yue,Liu Junyong,Wei Zhenbo,et al.Robust model of microgrid energy optimization  with uncertain renewable energy sources[J].Proceedings of the  CSEE,2014,34(19):3063-3072(in Chinese).

[20] 温俊强,曾博,张建华,等.配电网中分布式风电可调鲁棒优化规划[J].电网技术,2016,40(1):227-233.Wen  Junqiang,Zeng Bo,Zhang Jianhua,et al.Adjustable robust optimization for  distributed wind power planning in distribution network[J].Power System  Technology,2016,40(1):227-233(in Chinese).

[21] 赵金利,于莹莹,李鹏,等.基于锥优化的储能系统参与配电网运行调节快速计算方法[J].电力系统自动化,2016,40(2):30-35.  Zhao Jinli,Yu Yingying,Li Peng,et al.A fast calculation method of energy system  in distribution network based on conic programming[J].Automation of Electric  Power Systems,2016,40(2):30-35(in Chinese).

[22] 李洪美,崔翰韬,万秋兰.考虑电动汽车充电策略的配网重构二阶锥规划模型[J].中国电机工程学报,2015,35(18):4674-4681.  Li Hongmei,Cui Hantao,Wan Qiulan.Distribution network reconfiguration based on  second-order conic programming considering EV ging strategy[J].Proceedings  of the CSEE,2015,35(18):4674-4681(in Chinese).

[23] Jabr R A.Radial distribution load flow using conic programming[J].IEEE  Transactions on Power Systems,2006,21(3):1458-1459.

[24] Farivar M,Low S H.Branch flow model:relaxations and convexification  (part I)[J].IEEE Transactions on Power Systems,2013,28(3):2554-2564.

[25] Taylor J A,Hover F S.Convex models of distribution system  reconfiguration[J].IEEE Transactions on Power Systems,2012,27(3):1407-1413.

[26] Li N,Chen L,Low S H.Exact convex relaxation of OPF for radial networks  using branch flow model[C]//2012 Smart Grid Communications(Smart Grid  Comm).Tainan:IEEE,2012:7-12.

[27] Beck A,Bental A.Duality in robust optimization:primal worst equals  dual best[J].Operations Research Letters,2009,37(1):1-6.

[28] 李静. 锥规划及其对偶锥规划的若干性质及应用[D].武汉:武汉理工大学,2005:20-33.

[29] 李秀磊,耿光飞,季玉琦,等.主动配电网中储能和需求侧响应的联合优化规划[J].电网技术,2016,40(12):3803-3810. Li  Xiulei,Geng Guangfei,Ji Yuqi,et al.Integrated optimal planning of energy storage  and demand side response in active power distribution network[J].Power System  Technology,2016,40(12):3803-3810(in Chinese).

[30] 高红均,刘俊勇,魏震波.主动配电网分层鲁棒规划模型及其求解方法[J].中国电机工程学报,2017,37(5):1389-1400. Gao  Hongjun,Liu Junyong,Wei Zhenbo.A bi-level robust planning model of active  distribution network and its solution method[J].Proceedings of the  CSEE,2017,37(5):1389-1400(in Chinese).