基于黎曼积分的连续最优潮流模型
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摘要
在实际电力系统中,负荷在多种因素的综合影响下时刻变化着,一般将其看成是一个连续变化的函数,且目前智能电网的发展使连续时间的数据获取和发电机控制成为可能,所以对连续时间的负荷调度迫在眉睫。但是原先的静态、动态最优潮流仅能考虑离散函数的优化,其经济性和安全性受到了一定的局限。文中应用黎曼积分的思想对最优潮流进行拓展,考虑变量在时间上的连续性,从而建立基于黎曼积分的连续最优潮流模型。基于此理论对IEEE 5节点系统进行仿真,验证了此模型的准确性和实用性。最终结果表明了该模型能够解得一段连续时间内满足所有约束的连续调度时间方案,且发电机出力能很好地跟随负荷波动。
In the actual power system,the load changes at all times under the influence of various factors and it can be regarded as a continuous function. The development of smart grid makes continuous time data acquisition and generator control come true,so the continuous time load dispatching is imminent. However,the economy and security of the original static and dynamic optimal power flow are limited to some extent with considering the optimization of discrete functions. The Riemann integral method is applied to expand the optimal power flow,which consider continue time change of variables. A continuation optimal power flow model is established based on Riemann integral. The precision and efficiency of the algorithm is verified through the stimulation of IEEE 5-bus system. Simulation results show that a final optimal dispatching is found in the proposed model with all the chance constraints satisfied. Moreover,the active power outputs of generators flow the fluctuation of load well.
In the actual power system,the load changes at all times under the influence of various factors and it can be regarded as a continuous function. The development of smart grid makes continuous time data acquisition and generator control come true,so the continuous time load dispatching is imminent. However,the economy and security of the original static and dynamic optimal power flow are limited to some extent with considering the optimization of discrete functions. The Riemann integral method is applied to expand the optimal power flow,which consider continue time change of variables. A continuation optimal power flow model is established based on Riemann integral. The precision and efficiency of the algorithm is verified through the stimulation of IEEE 5-bus system. Simulation results show that a final optimal dispatching is found in the proposed model with all the chance constraints satisfied. Moreover,the active power outputs of generators flow the fluctuation of load well.
引文
[1]丁晓莺,王锡凡,陈皓勇.一种求解最优潮流的组合算法[J].中国电机工程学报,2002,22(12):11-16.DING Xiaoying,WANG Xifan,CHEN Haoyong. A combined algorithem for optimal power flow[J]. Proceedings of the CSEE,2002,22(12):11-16.
[2]CARPENTIER J. Contribution a l'etude du dispatching economique[J]. Bulletin de la Societe Francaise des Electriciens,1962,3(1):431-447.
[3]GRANVILLE S. Optimal reactive dispatch through interior-point methods[J]. IEEE Transactions on Power Systems,1994(9):136-146.
[4]WU Y C,DEBS A S,MARSTEN R E. A direct nonlinear predictor-corrector primal-dual interior point algorithm for optimal power flows[J]. IEEE Transactions on Power Systems,1994(9):876-883.
[5]ABIDO M A. Optimal power flow using particle swarm optimization[J]. International Journal of Electrical Power&Energy Systems,2002,24(7):563-571.
[6]OSMAN M S,ABOSINNA M A,MOUSA A. A solution to the optimal power flow using genetic algorithm[J]. Applied Mathematics and Computation,2004,155(2):391-405.
[7]CHENG C P. Unit commitment by lagrangian relaxation and genetic algorithms[J]. IEEE Transactions on Power System,2000,15(2):707-714.
[8]CONEJO A J,AGUADO J A. Multi-area coordinated decentralized DC optimal power flow[J]. IEEE Transactions on Power System,1998,13(4):1272-1278.
[9]王锡凡.现代电力系统分析[M].北京:科学出版社,2003,116-134.WANG Xifan. Modern power system analysis[M]. Beijing:Science Press,2003,116-134.
[10]TORRES G L,QUINTANA V H. Optimal power flow by a nonlinear complementarity method[J]. IEEE Transactions on Power Systems,2000,15(3):1028-1033.
[11]XIE K,SONG Y H. Dynamic optimal power flow by interior point methods[J]. IET Proceedings-Generation Transmission and Distribution,2009,148(1):76-84.
[12]CHUNG C Y,YAN W,LIU F. Decomposed predictor-corrector interior point method for dynamic optimal power flow[J].IEEE Transactions on Power Systems, 2011, 26(3):1030-1039.
[13]李滨,杜培,韦化.含同步风电机组的电力系统动态最优潮流[J].电力系统保护与控制,2013,41(23):8-15.LI Bin,DU Pei,WEI Hua. Dynamic optimal power flow considering synchronous wind generator system[J]. Power System Protection and Control,2013,41(23):8-15.
[14]熊宁,吴越,蔡恒,等.考虑静态电压稳定的低碳电力调度[J].中国电机工程学报,2013,33(4):62-67.XIONG Ning,WU Yue,CAI Heng,et al. Low carbon generation dispatch considering static voltage stability[J]. Proceedings of the CSEE,2013,33(4):62-67.
[15]李学平,卢志刚,王浩锐,等.考虑碳减排日指标约束的碳捕集调度策略[J].中国电机工程学报,2012,32(31):159-165.LI Xueping,LU Zhigang,WANG Haorui,et al. Dispatch strategy for carbon capture considering day index constraints in carbon emission reduction[J]. Proceedings of the CSEE,2012,32(31):159-165.
[16]赖永生,刘明波.电力系统动态无功优化问题的快速解耦算法[J].中国电机工程学报,2008,28(7):32-39.LAI Yongsheng,LIU Mingbo. Fast decomposition algorithm for solution of dynamic reactive power optimization problem in power systems[J]. Proceedings of the CSEE,2008,28(7):32-39.
[17]董朝阳,赵俊华,文福拴,等.从智能电网到能源互联网:基本概念与研究框架[J].电力系统自动化,2014,38(15):1-11.DONG Zhaoyang,ZHAO Junhua,WEN Fushuan,et al. From smart grid to energy internet:basic concept and research framework[J]. Automation of Electric Power,2014,38(15):1-11.
[18]王高红,陈潇一.基于遗传算法的智能电网非侵入式电器监控策略[J].智慧电力,2017,45(11):42-46,71.WANG Gaohong,CHEN Xiaoyi. Monitoring strategy with noninvasion for electric appliances in smart grid based on genetic algorithm[J]. Smart Power,2017,45(11):42-46,71.
[19]彭显刚,李壮茂,邓小康,等.智能电网框架下的高级量测体系研究述评[J].广东电力,2017,30(12):7-14.PENG Xiangang,LI Zhuangmao,DENG Xiaokang,et al. Research on advanced metering infrastructure under smart grid framework[J]. Guangdong Electric Power,2017,30(12):7-14.
[20]刘松.黎曼积分的局限性和勒贝格积分的优越性[J].合肥学院学报,2016,33(4):14-17.LIU Song. The limitations of Riemann's integral and the superiority of Lebesgue's integral[J]. Journal of Hefei University,2013,41(23):14-17.
[2]CARPENTIER J. Contribution a l'etude du dispatching economique[J]. Bulletin de la Societe Francaise des Electriciens,1962,3(1):431-447.
[3]GRANVILLE S. Optimal reactive dispatch through interior-point methods[J]. IEEE Transactions on Power Systems,1994(9):136-146.
[4]WU Y C,DEBS A S,MARSTEN R E. A direct nonlinear predictor-corrector primal-dual interior point algorithm for optimal power flows[J]. IEEE Transactions on Power Systems,1994(9):876-883.
[5]ABIDO M A. Optimal power flow using particle swarm optimization[J]. International Journal of Electrical Power&Energy Systems,2002,24(7):563-571.
[6]OSMAN M S,ABOSINNA M A,MOUSA A. A solution to the optimal power flow using genetic algorithm[J]. Applied Mathematics and Computation,2004,155(2):391-405.
[7]CHENG C P. Unit commitment by lagrangian relaxation and genetic algorithms[J]. IEEE Transactions on Power System,2000,15(2):707-714.
[8]CONEJO A J,AGUADO J A. Multi-area coordinated decentralized DC optimal power flow[J]. IEEE Transactions on Power System,1998,13(4):1272-1278.
[9]王锡凡.现代电力系统分析[M].北京:科学出版社,2003,116-134.WANG Xifan. Modern power system analysis[M]. Beijing:Science Press,2003,116-134.
[10]TORRES G L,QUINTANA V H. Optimal power flow by a nonlinear complementarity method[J]. IEEE Transactions on Power Systems,2000,15(3):1028-1033.
[11]XIE K,SONG Y H. Dynamic optimal power flow by interior point methods[J]. IET Proceedings-Generation Transmission and Distribution,2009,148(1):76-84.
[12]CHUNG C Y,YAN W,LIU F. Decomposed predictor-corrector interior point method for dynamic optimal power flow[J].IEEE Transactions on Power Systems, 2011, 26(3):1030-1039.
[13]李滨,杜培,韦化.含同步风电机组的电力系统动态最优潮流[J].电力系统保护与控制,2013,41(23):8-15.LI Bin,DU Pei,WEI Hua. Dynamic optimal power flow considering synchronous wind generator system[J]. Power System Protection and Control,2013,41(23):8-15.
[14]熊宁,吴越,蔡恒,等.考虑静态电压稳定的低碳电力调度[J].中国电机工程学报,2013,33(4):62-67.XIONG Ning,WU Yue,CAI Heng,et al. Low carbon generation dispatch considering static voltage stability[J]. Proceedings of the CSEE,2013,33(4):62-67.
[15]李学平,卢志刚,王浩锐,等.考虑碳减排日指标约束的碳捕集调度策略[J].中国电机工程学报,2012,32(31):159-165.LI Xueping,LU Zhigang,WANG Haorui,et al. Dispatch strategy for carbon capture considering day index constraints in carbon emission reduction[J]. Proceedings of the CSEE,2012,32(31):159-165.
[16]赖永生,刘明波.电力系统动态无功优化问题的快速解耦算法[J].中国电机工程学报,2008,28(7):32-39.LAI Yongsheng,LIU Mingbo. Fast decomposition algorithm for solution of dynamic reactive power optimization problem in power systems[J]. Proceedings of the CSEE,2008,28(7):32-39.
[17]董朝阳,赵俊华,文福拴,等.从智能电网到能源互联网:基本概念与研究框架[J].电力系统自动化,2014,38(15):1-11.DONG Zhaoyang,ZHAO Junhua,WEN Fushuan,et al. From smart grid to energy internet:basic concept and research framework[J]. Automation of Electric Power,2014,38(15):1-11.
[18]王高红,陈潇一.基于遗传算法的智能电网非侵入式电器监控策略[J].智慧电力,2017,45(11):42-46,71.WANG Gaohong,CHEN Xiaoyi. Monitoring strategy with noninvasion for electric appliances in smart grid based on genetic algorithm[J]. Smart Power,2017,45(11):42-46,71.
[19]彭显刚,李壮茂,邓小康,等.智能电网框架下的高级量测体系研究述评[J].广东电力,2017,30(12):7-14.PENG Xiangang,LI Zhuangmao,DENG Xiaokang,et al. Research on advanced metering infrastructure under smart grid framework[J]. Guangdong Electric Power,2017,30(12):7-14.
[20]刘松.黎曼积分的局限性和勒贝格积分的优越性[J].合肥学院学报,2016,33(4):14-17.LIU Song. The limitations of Riemann's integral and the superiority of Lebesgue's integral[J]. Journal of Hefei University,2013,41(23):14-17.