计及时段粒化的电-气综合能源系统低碳经济调度
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摘要
燃气轮机装机容量日益增加,推动了电-气综合能源系统的联合调度研究。为了减少碳排放和加快求解速度,本文提出了一种计及时段粒化的电-气综合能源系统低碳经济调度策略。首先,考虑碳交易机制,建立了电-气综合能源系统低碳调度模型;其次,提出了一种计及时段粒化的快速求解策略,该策略利用改进的k-means聚类方法把调度周期的96个时段粒化,从而加快模型的求解速度;最后,采用电力39节点和天然气20节点的电-气综合能源系统进行算例仿真,仿真结果验证了构建模型与所提出策略的可行性和有效性。
The increasing installed capacity of gas turbines has promoted the research on the joint dispatch of integrated electricity and natural gas energy systems. To reduce carbon emission and improve the convergence speed, this paper proposes a low-carbon economic dispatch strategy for integrated electricity and natural gas energy systems that considers the granulation of time periods. Firstly, the low-carbon scheduling model of the integrated electricity and natural gas energy systems is established under the carbon trading mechanism.Secondly, a fast solving strategy, i.e. the granulation of time periods, is proposed. This strategy uses the improved k-means clustering method to granulate the 96 scheduling periods, which can accelerate the convergence speed of the presented model.Finally, the simulation is carried out on the 39-bus power system and 20-node natural gas system, and the simulation results have verified the feasibility and effectiveness of the proposed model and the solution strategy.
The increasing installed capacity of gas turbines has promoted the research on the joint dispatch of integrated electricity and natural gas energy systems. To reduce carbon emission and improve the convergence speed, this paper proposes a low-carbon economic dispatch strategy for integrated electricity and natural gas energy systems that considers the granulation of time periods. Firstly, the low-carbon scheduling model of the integrated electricity and natural gas energy systems is established under the carbon trading mechanism.Secondly, a fast solving strategy, i.e. the granulation of time periods, is proposed. This strategy uses the improved k-means clustering method to granulate the 96 scheduling periods, which can accelerate the convergence speed of the presented model.Finally, the simulation is carried out on the 39-bus power system and 20-node natural gas system, and the simulation results have verified the feasibility and effectiveness of the proposed model and the solution strategy.
引文
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[21]张鹏,张旭涵,张铭洋.粒计算在电力系统优化调度中的应用探索[J].东北电力技术,2016,37(1):27-29.Zhang Peng,Zhang Xuhan,Zhang Mingyang.Application on granular computing in optimal dispatch of power system[J].Northeast Electric Power Technology,2016,37(1):27-29(in Chinese).
[22]卢志刚,杨宇,耿丽君,等.基于Benders分解法的电热综合能源系统低碳经济调度[J].中国电机工程学报,2018,38(7):1922-1934+2208.Lu Zhigang,Yang Yu,Geng Lijun,et al.Low-carbon economic dispatch of the integrated electrical and heating systems based on Benders decomposition[J].Proceedings of the CSEE,2018,38(7):1922-1934+2208(in Chinese).
[23]王信,袁方.碳排放权交易中的排放权分配和价格管理[J].金融发展评论,2010(11):48-57.Wang Xin,Yuan Fang.Carbon emission allocation and price management in emission trading scheme[J].Financial Development Comment,2010(11):48-57(in Chinese).
[24]Correa-Posada CM,Sánchez-Martin P.Integrated power and natural gas model for energy adequacy in short-term operation[J].IEEE Transactions on Power Systems,2015,30(6):3347-3355.
[25]胡源,别朝红,李更丰,等.天然气网络和电源、电网联合规划的方法研究[J].中国电机工程学报,2017,37(1):45-54.Hu Yuan,Bie Zhaohong,Li Gengfeng,et al.Integrated planning of natural gas network and composite power system[J].Proceedings of the CSEE,2017,37(1):45-54(in Chinese).
[26]张燕平,张铃,吴涛.不同粒度世界的描述法-商空间法[J].计算机学报,2004,27(3):328-333.Zhang Yanping,Zhang Ling,Wu Tao.A description method of different granularity world-quotient space method[J].Chinese Journal of Computers,2004,27(3):328-333(in Chinese).
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[2]国家发展和改革委员会发展规划司.天然气发展“十三五”规划[EB/OL].北京:中华人民共和国国家发展和改革委员会,2017,[2017-06-07].http://www.ndrc.gov.cn/fzgggz/fzgh/ghwb/gjjgh/201706/W020170607564599576985.pdf.
[3]An S,Li Q,Gedra T W.Natural gas and electricity optimal power flow[C].Transmission and Distribution Conference and Exposition,2003 IEEE PES,138-143.
[4]Unsihuay C,Lima J W M,Souza A C Z D.Modeling the integrated natural gas and electricity optimal power flow[J].IEEEPower Engineering Society General Meeting,2007,1:1-7.
[5]王伟亮,王丹,贾宏杰,等.考虑天然气网络状态的电力-天然气区域综合能源系统稳态分析[J].中国电机工程学报,2017,37(5):1293-1305.Wang Weiliang,Wang Dan,Jia Hongjie,et al.Steady state analysis of electricity-gas regional integrated energy system with consideration of NGS network status[J].2017,37(5):1293-1305(in Chinese).
[6]Wen Y,Qu X,Li W,et al.Synergistic operation of electricity and natural gas networks via ADMM[J].IEEE Transactions on Smart Grid,2018,9(5):4555-4565.
[7]瞿小斌,文云峰,叶希,等.基于串行和并行ADMM算法的电-气能量流分布式协同优化[J].电力系统自动化,2017,41(4):12-19.Qu Xiaobin,Wen Yunfeng,Ye Xi,et al.Distributed optimization of electric-gas integrated energy flow using serial and parallel iterative modes for alternating direction method of multipliers[J].Automation of Electric Power Systems,2017,41(4):12-19(in Chinese).
[8]He Y,Yan M,Shahidehpour M,et al.Decentralized optimization of multi-area electricity-natural gas flows based on cone reformulation[J].IEEE Transactions on Power Systems,2018,33(4):4531-4542.
[9]程耀华,张宁,康重庆,等.低碳多能源系统的研究框架及展望[J].中国电机工程学报,2017,37(14):4060-4069+4285.Cheng Yaohua,Zhang Ning,Kang Chongqing,et al.Research framework and prospects of low-carbon multiple energy systems[J].Proceedings of the CSEE,2017,37(14):4060-4069+4285(in Chinese).
[10]卫志农,张思德,孙国强,等.基于碳交易机制的电-气互联综合能源系统低碳经济运行[J].电力系统自动化,2016,40(15):9-16.Wei Zhinong,Zhang Side,Sun Guoqiang,et al.Carbon trading based low-carbon economic operation for integrated electricity and natural gas energy system[J].Automation of Electric Power Systems,2016,40(15):9-16(in Chinese).
[11]秦婷,刘怀东,王锦桥,等.基于碳交易的电-热-气综合能源系统低碳经济调度[J].电力系统自动化,2018,42(14):8-13+22.Qin Ting,Liu Huaidong,Wang Jinqiao,et al.Carbon trading based low-carbon economic dispatch for integrated electricityheat-gas energy system[J].Automation of Electric Power Systems,2018,42(14):8-13+22(in Chinese).
[12]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.
[13]Qu K,Yu T,Huang L,et al.Decentralized optimal multienergy flow of large-scale integrated energy systems in a carbon trading market[J].Energy,2018,149:779-791.
[14]He L,Lu Z,Zhang J,et al.Low-carbon economic dispatch for electricity and natural gas systems considering carbon capture systems and power-to-gas[J].Applied Energy,2018,224:357-370.
[15]Y.Y.Yao,Perspectives of granular computing[C].Proc.IEEEInt.Conf.Granul.Comput.,Jul.2005,1:85-99.
[16]O.Hryniewicz,K.Kaczmarek,Bayesian analysis of time series using granular computing approach[J].Applied Soft Computing,2016,47:644-652.
[17]J.Juszczyk,E.Pietka,B.Pyciński,Granular computing in model based abdominal organs detection[J].Computerized Medical Imaging and Graphics,2015,46:121-130.
[18]A.Gacek,Granular modelling of signals:A framework of granular computing[J].Information Sciences,2013,221:1-11.
[19]L.Zhang,F.G.He,Y.P.Zhang,et al,A new algorithm for optimal path finding in complex networks based on the quotient space[J].Fund.Inf.,2009,93(4):459-469.
[20]Li X,Fang L,Lu Z,et al.A line flow granular computing approach for economic dispatch with line constraints[J].IEEETransactions on Power Systems,2017,32(6):4832-4842.
[21]张鹏,张旭涵,张铭洋.粒计算在电力系统优化调度中的应用探索[J].东北电力技术,2016,37(1):27-29.Zhang Peng,Zhang Xuhan,Zhang Mingyang.Application on granular computing in optimal dispatch of power system[J].Northeast Electric Power Technology,2016,37(1):27-29(in Chinese).
[22]卢志刚,杨宇,耿丽君,等.基于Benders分解法的电热综合能源系统低碳经济调度[J].中国电机工程学报,2018,38(7):1922-1934+2208.Lu Zhigang,Yang Yu,Geng Lijun,et al.Low-carbon economic dispatch of the integrated electrical and heating systems based on Benders decomposition[J].Proceedings of the CSEE,2018,38(7):1922-1934+2208(in Chinese).
[23]王信,袁方.碳排放权交易中的排放权分配和价格管理[J].金融发展评论,2010(11):48-57.Wang Xin,Yuan Fang.Carbon emission allocation and price management in emission trading scheme[J].Financial Development Comment,2010(11):48-57(in Chinese).
[24]Correa-Posada CM,Sánchez-Martin P.Integrated power and natural gas model for energy adequacy in short-term operation[J].IEEE Transactions on Power Systems,2015,30(6):3347-3355.
[25]胡源,别朝红,李更丰,等.天然气网络和电源、电网联合规划的方法研究[J].中国电机工程学报,2017,37(1):45-54.Hu Yuan,Bie Zhaohong,Li Gengfeng,et al.Integrated planning of natural gas network and composite power system[J].Proceedings of the CSEE,2017,37(1):45-54(in Chinese).
[26]张燕平,张铃,吴涛.不同粒度世界的描述法-商空间法[J].计算机学报,2004,27(3):328-333.Zhang Yanping,Zhang Ling,Wu Tao.A description method of different granularity world-quotient space method[J].Chinese Journal of Computers,2004,27(3):328-333(in Chinese).
[27]谢中华.MATLAB统计分析与应用:40个案例分析[M].北京:北京航空航天大学出版社,2010:319-322.Xie Zhonghua.Statistical analysis and application of MATLAB:an analysis of 40 cases[M].Beijing:Beihang University Press,2010:319-322(in Chinese).