考虑不确定性和多主体博弈的增量配电网源网荷协同规划方法
|
摘要
在对增量配电网进行规划时,如何根据不同利益主体的市场行为获取最优的决策方案是目前亟需解决的重要问题。针对该问题,该文通过引入虚拟博弈者"大自然",实现了博弈理论和鲁棒优化的深度融合,提出一种考虑不确定性和多主体博弈的增量配电网源网荷协同规划方法。首先,分别构建DG投资运营商、配电网投资运营商和电力用户不同利益主体的规划决策模型;然后根据三者的传递关系分析分布式电源(distributed generation,DG)投资运营商和配电网投资运营商之间的静态博弈行为;同时采用鲁棒优化处理DG出力的不确定性,并引入虚拟博弈者"大自然",研究其与配电网投资运营商之间的动态博弈行为;在此基础上提出动–静态联合博弈规划模型,最后结合迭代搜索算法和极大极小值法对上述模型进行求解。仿真结果验证了文中方法的正确性和有效性。
How to obtain the optimal decision-making scheme based on the investment behavior of different stakeholders is an important issue that needs to be solved urgently when planning an incremental distribution network.To solve this problem, this paper introduced the virtual player"Nature" to realize the deep integration of game theory and robust optimization, and an incremental distribution network source-load collaborative planning method with uncertainties and multi-agent game was proposed. Firstly, the planning and decision-making models of the distributed generation(DG)investment operator, the grid investment operator and power users with different interests were constructed separately. Then,the static game behavior between the DG investment operator and the grid investment operator was analyzed based on the transfer relations between the three parties. At the same time,robust optimization was used to deal with the uncertainty of DG output, and the virtual player "Nature" was introduced to study the dynamic game behavior between it and the grid investment operator. On this basis, a dynamic-static joint game planning model was proposed. Finally, combination of iterative search algorithm and minimax method was used to solve the above model. The simulation results verify the correctness and effectiveness of the proposed method.
How to obtain the optimal decision-making scheme based on the investment behavior of different stakeholders is an important issue that needs to be solved urgently when planning an incremental distribution network.To solve this problem, this paper introduced the virtual player"Nature" to realize the deep integration of game theory and robust optimization, and an incremental distribution network source-load collaborative planning method with uncertainties and multi-agent game was proposed. Firstly, the planning and decision-making models of the distributed generation(DG)investment operator, the grid investment operator and power users with different interests were constructed separately. Then,the static game behavior between the DG investment operator and the grid investment operator was analyzed based on the transfer relations between the three parties. At the same time,robust optimization was used to deal with the uncertainty of DG output, and the virtual player "Nature" was introduced to study the dynamic game behavior between it and the grid investment operator. On this basis, a dynamic-static joint game planning model was proposed. Finally, combination of iterative search algorithm and minimax method was used to solve the above model. The simulation results verify the correctness and effectiveness of the proposed method.
引文
[1]马倩,王琛,李扬,等.增量配电业务放开下电网企业投资风险分析[J].电力建设,2017,38(9):139-144.Ma Qian,Wang Chen,Li Yang,et al.Investment risk analysis of power grid enterprises under incremental distribution businesses opening[J].Electric Power Construction,2017,38(9):139-144(in Chinese).
[2]苏剑,张丕沛,刘海涛,等.考虑不同利益主体的DG并网成本-效益分析与并网容量优化[J].电网技术,2016,40(4):1128-1133.Su Jian,Zhang Pipei,Liu Haitao,et al.Cost-benefit analysis of distributed generation and optimization of capacity considering different stakeholders[J].Power System Technology,2016,40(4):1128-1133(in Chinese).
[3]施泉生,郭良合,张孝君.综合考虑多主体经济效益的分布式电源优化配置研究[J].电力系统保护与控制,2016,44(1):85-91.Shi Quansheng,Guo Lianghe,Zhang Xiaojun.Research on optimal configuration of distributed generation considering economic benefits of the multi-agent[J].Power System Protection and Control,2016,44(1):85-91(in Chinese).
[4]李逐云,雷霞,邱少引,等.考虑“源-网-荷”三方利益的主动配电网协调规划[J].电网技术,2017,41(2):378-386.Li Zhuyun,Lei Xia,Qiu Shaoyin,et al.Coordinated planning of active distribution network considering“source-grid-load”benefits[J].Power System Technology,2017,41(2):378-386(in Chinese).
[5]Li Ran,Ma Huizhuo,Wang Feifei,et al.Game optimization theory and application in distribution system expansion planning,including distributed generation[J].Energies,2013,6(2):1101-1124.
[6]金秋龙,刘文霞,成锐,等.基于完全信息动态博弈理论的光储接入网源协调规划[J].电力系统自动化,2017,41(21):112-118.Jin Qiulong,Liu Wenxia,Cheng Rui,et al.Coordinated planning model for photovoltaic station,storage battery and grid based on complete information dynamic game[J].Automation of Electric Power Systems,2017,41(21):112-118(in Chinese).
[7]梅生伟,王莹莹,刘锋.风-光-储混合电力系统的博弈论规划模型与分析[J].电力系统自动化,2011,35(20):13-19.Mei Shengwei,Wang Yingying,Liu Feng.A game theory based planning model and analysis for hybrid power system with wind generators-photovoltaic panels-storage batteries[J].Automation of Electric Power Systems,2011,35(20):13-19(in Chinese).
[8]温俊强,曾博,张建华.市场环境下考虑各利益主体博弈的分布式电源双层规划方法[J].电力系统自动化,2015,39(15):61-67.Wen Junqiang,Zeng Bo,Zhang Jianhua.Bi-level programming method for distributed generator considering stakeholders'game relationship in an electricity market environment[J].Automation of Electric Power Systems,2015,39(15):61-67(in Chinese).
[9]刘洪,范博宇,唐翀,等.基于博弈论的主动配电网扩展规划与光储选址定容交替优化[J].电力系统自动化,2017,41(23):38-45.Liu Hong,Fan Boyu,Tang Chong,et al.Game theory based alternate optimization between expansion planning of active distribution system and siting and sizing of photovoltaic and energy storage[J].Automation of Electric Power Systems,2017,41(23):38-45(in Chinese).
[10]Zeng Bo,Shi Jinyue,Wen Junqiang,et al.Agame-theoretic framework for active distribution network planning to benefit different participants under the electricity market[J].Turkish Journal of Electrical Engineering&Computer Sciences,2017,25(1):83-94.
[11]高红均,刘俊勇,魏震波,等.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,et al.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).
[12]Gao Hongjun,Liu Junyong,Liu Youbo,et al.A robust model for multistage distribution network planning[C]//2015 International Symposium on Smart Electric Distribution Systems and Technologies.Vienna,Austria:IEEE,2015:37-41.
[13]Amjady N,Attarha A,Dehghan S,et al.Adaptive robust expansion planning for a distribution network with DERs[J].IEEE Transactions on Power Systems,2018,33(2):1689-1715.
[14]温俊强,曾博,张建华.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.Adjustable robust optimization for distributed wind power planning in distribution network[J].Power System Technology,2016,40(1):227-233(in Chinese).
[15]Srikantha P,Kundur D.A game theoretic approach to real-time robust distributed generation dispatch[J].IEEETransactions on Industrial Informatics,2017,13(3):1006-1016.
[16]Dai Ting,Qiao Wei.Trading wind power in a competitive electricity market using stochastic programing and game theory[J].IEEE Transactions on Sustainable Energy,2013,4(3):805-815.
[17]梅生伟,刘锋,魏韡.工程博弈论基础及电力系统应用[M].北京:科学出版社,2016:216-225.Mei Shengwei,Liu Feng,Wei Wei.Engineering Game Theory Foundation and Power System Application[M].Beijing:Science Press,2016:216-225(in Chinese).
[18]郭腾云,刘艳.基于博弈方法的含分布式电源配电网重构优化[J].电力系统保护与控制,2017,45(7):28-34.Guo Tengyun,Liu Yan.Game theory based reconfiguration optimization for distribution network with distributed generations[J].Power System Protection and Control,2017,45(7):28-34(in Chinese).
[19]Weaver W W,Krein P T.Game-theoretic control of small-scale power systems[J].IEEE Transactions on Power Delivery,2009,24(3):1560-1567.
[20]Zhu Quanyan,Zhang Jiangmeng,Sauer P W,et al.Agame-theoretic framework for control of distributed renewable-based energy resources in smart grids[C]//2012American Control Conference.Montreal,QC,Canada:IEEE,2012:3623-3628.
[21]梅生伟,魏韡.智能电网环境下主从博弈模型及应用实例[J].系统科学与数学,2014,34(11):1331-1344.Mei Shengwei,Wei Hua.Hierarchal game and its applications in the smart grid[J].Journal of Systems Science and Complexity,2014,34(11):1331-1344(in Chinese).
[2]苏剑,张丕沛,刘海涛,等.考虑不同利益主体的DG并网成本-效益分析与并网容量优化[J].电网技术,2016,40(4):1128-1133.Su Jian,Zhang Pipei,Liu Haitao,et al.Cost-benefit analysis of distributed generation and optimization of capacity considering different stakeholders[J].Power System Technology,2016,40(4):1128-1133(in Chinese).
[3]施泉生,郭良合,张孝君.综合考虑多主体经济效益的分布式电源优化配置研究[J].电力系统保护与控制,2016,44(1):85-91.Shi Quansheng,Guo Lianghe,Zhang Xiaojun.Research on optimal configuration of distributed generation considering economic benefits of the multi-agent[J].Power System Protection and Control,2016,44(1):85-91(in Chinese).
[4]李逐云,雷霞,邱少引,等.考虑“源-网-荷”三方利益的主动配电网协调规划[J].电网技术,2017,41(2):378-386.Li Zhuyun,Lei Xia,Qiu Shaoyin,et al.Coordinated planning of active distribution network considering“source-grid-load”benefits[J].Power System Technology,2017,41(2):378-386(in Chinese).
[5]Li Ran,Ma Huizhuo,Wang Feifei,et al.Game optimization theory and application in distribution system expansion planning,including distributed generation[J].Energies,2013,6(2):1101-1124.
[6]金秋龙,刘文霞,成锐,等.基于完全信息动态博弈理论的光储接入网源协调规划[J].电力系统自动化,2017,41(21):112-118.Jin Qiulong,Liu Wenxia,Cheng Rui,et al.Coordinated planning model for photovoltaic station,storage battery and grid based on complete information dynamic game[J].Automation of Electric Power Systems,2017,41(21):112-118(in Chinese).
[7]梅生伟,王莹莹,刘锋.风-光-储混合电力系统的博弈论规划模型与分析[J].电力系统自动化,2011,35(20):13-19.Mei Shengwei,Wang Yingying,Liu Feng.A game theory based planning model and analysis for hybrid power system with wind generators-photovoltaic panels-storage batteries[J].Automation of Electric Power Systems,2011,35(20):13-19(in Chinese).
[8]温俊强,曾博,张建华.市场环境下考虑各利益主体博弈的分布式电源双层规划方法[J].电力系统自动化,2015,39(15):61-67.Wen Junqiang,Zeng Bo,Zhang Jianhua.Bi-level programming method for distributed generator considering stakeholders'game relationship in an electricity market environment[J].Automation of Electric Power Systems,2015,39(15):61-67(in Chinese).
[9]刘洪,范博宇,唐翀,等.基于博弈论的主动配电网扩展规划与光储选址定容交替优化[J].电力系统自动化,2017,41(23):38-45.Liu Hong,Fan Boyu,Tang Chong,et al.Game theory based alternate optimization between expansion planning of active distribution system and siting and sizing of photovoltaic and energy storage[J].Automation of Electric Power Systems,2017,41(23):38-45(in Chinese).
[10]Zeng Bo,Shi Jinyue,Wen Junqiang,et al.Agame-theoretic framework for active distribution network planning to benefit different participants under the electricity market[J].Turkish Journal of Electrical Engineering&Computer Sciences,2017,25(1):83-94.
[11]高红均,刘俊勇,魏震波,等.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,et al.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).
[12]Gao Hongjun,Liu Junyong,Liu Youbo,et al.A robust model for multistage distribution network planning[C]//2015 International Symposium on Smart Electric Distribution Systems and Technologies.Vienna,Austria:IEEE,2015:37-41.
[13]Amjady N,Attarha A,Dehghan S,et al.Adaptive robust expansion planning for a distribution network with DERs[J].IEEE Transactions on Power Systems,2018,33(2):1689-1715.
[14]温俊强,曾博,张建华.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.Adjustable robust optimization for distributed wind power planning in distribution network[J].Power System Technology,2016,40(1):227-233(in Chinese).
[15]Srikantha P,Kundur D.A game theoretic approach to real-time robust distributed generation dispatch[J].IEEETransactions on Industrial Informatics,2017,13(3):1006-1016.
[16]Dai Ting,Qiao Wei.Trading wind power in a competitive electricity market using stochastic programing and game theory[J].IEEE Transactions on Sustainable Energy,2013,4(3):805-815.
[17]梅生伟,刘锋,魏韡.工程博弈论基础及电力系统应用[M].北京:科学出版社,2016:216-225.Mei Shengwei,Liu Feng,Wei Wei.Engineering Game Theory Foundation and Power System Application[M].Beijing:Science Press,2016:216-225(in Chinese).
[18]郭腾云,刘艳.基于博弈方法的含分布式电源配电网重构优化[J].电力系统保护与控制,2017,45(7):28-34.Guo Tengyun,Liu Yan.Game theory based reconfiguration optimization for distribution network with distributed generations[J].Power System Protection and Control,2017,45(7):28-34(in Chinese).
[19]Weaver W W,Krein P T.Game-theoretic control of small-scale power systems[J].IEEE Transactions on Power Delivery,2009,24(3):1560-1567.
[20]Zhu Quanyan,Zhang Jiangmeng,Sauer P W,et al.Agame-theoretic framework for control of distributed renewable-based energy resources in smart grids[C]//2012American Control Conference.Montreal,QC,Canada:IEEE,2012:3623-3628.
[21]梅生伟,魏韡.智能电网环境下主从博弈模型及应用实例[J].系统科学与数学,2014,34(11):1331-1344.Mei Shengwei,Wei Hua.Hierarchal game and its applications in the smart grid[J].Journal of Systems Science and Complexity,2014,34(11):1331-1344(in Chinese).
© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号 地址：北京市海淀区学院路29号 邮编：100083 电话：办公室：(+86 10)66554848；文献借阅、咨询服务、科技查新：66554700 |