Abstract：Intermittent powers connected to the grid bring about significant economic and emission reduction benefits.But their uncertainty outputs cause new problems to the grid dynamic economic dispatch.In order to solve this problem,a multi-objective fuzzy chance constrained dynamic economic dispatch model with intermittent powers considering energy saving and emission reduction is proposed.Firstly the fuzzy characteristics of the prediction errors in different power prediction regions are analyzed and then the distribution parameters are fitted.Thus the fuzzy membership functions of the intermittent powers’ output and the load are obtained.Secondly,different fuzzy chance constraints with different measures for different system constraints are considered with the fuzzy theory.A multi-objective fuzzy chance constrained dynamic economic dispatch model considering operating expenses and CO2 and SO2 emissions is then established.To solve the model,the multiple objectives are transformed into a single objective through defining the objective membership function and the product convex fuzzy decision,the chance constraints are turned into their clear equivalent forms using clear equivalent,and an improved firefly optimization algorithm is used.The feasibility and the effectiveness of the proposed model and algorithm are verified by the analysis of the case.
[1] 魏一鸣,刘兰翠,范英,等.中国能源报告2008:碳排放研究[M].北京:科学出版社,2008. [2] Han X S,Gooi H B,Kirschen D S.Dynamic economic dispatch:feasible and optimal solutions[J].IEEE Transactions on Power Systems,2001,3(1):22-28. [3] 杨明,韩学山,梁军,等.基于等响应风险约束的动态经济调度[J].电力系统自动化,2009,33(1):14-17. Yang Ming,Han Xueshan,Liang Jun,et al.Dynamic economic dispatch with equal response risk constraints[J].Automation of Electric Power Systems,2009,33(1):14-17. [4] 张晓辉,董兴华.含风电场多目标低碳电力系统动态经济调度研究[J].电网技术,2013,37(1):24-31. Zhang Xiaohui,Dong Xinghua.Research on Multi-objective scheduling for low-carbon power system with wind farms[J].Power System Technology,2013,37(1):24-31. [5] 杨柳青,林舜江,刘明波,等.考虑风电接入的大型电力系统多目标动态优化调度[J].电工技术学报,2014,29(10):286-295. Yang Liuqing,Lin Shunjiang,Liu Miangbo,et al.Multi-objective dynamic optimal dispatch for large-scale power systems considering wind power penetration[J].Transactions of China Electrotechnical Society,2014,29(10):286-295. [6] 陈道君,龚庆武,张茂林,等.考虑能源环境效益的含风电场多目标优化调度[J].中国电机工程学报,2011,31(13):10-17. Chen Daojun,Gong Qingwu,Zhang Maolin,et al.Multi-objective optimal dispatch in wind power integrated system incorporating energy-environmental efficiency[J].Proceedings of the CSEE,2011,31(13):10-17. [7] 刘燕华,李伟花,刘冲,等.短期风电功率预测误差的混合偏态分布模型[J].中国电机工程学报,2015,35(10):2375-2382. Liu Yanhua,Li Weihua,Liu Chong,et al.Mixed skew distribution model of short-term wind power prediction error[J].Proceedings of the CSEE,2015,35(10):2375-2382. [8] 孙元章,吴俊,李国杰,等.基于风速预测和随机规划的含风电场电力系统动态经济调度[J].中国电机工程学报,2009,29(4):41-47. Sun Yuanzhang,Wu Jun,Li Guojie,et al.Dynamic economic dispatch considering wind power penetration based on wind speed forecasting and stochastic programming[J].Proceedings of the CSEE,2009,29(4):41-47. [9] Wang Qianfan,Guan Yongpei,Wang Jianhui.A chance-constrained two-stage stochastic program for unit commitment with uncertain wind power output[J].IEEE Transactions on Power Systems,2012,27(1):206-215. [10]Vrakopoulou M,Margellos K,Lygeros J,et al.A probabilistic framework for reserve scheduling and N-1 security assessment of systems with high wind power penetration[J].IEEE Transactions on Power Systems,2013,28(4):3885-3896. [11]陈海焱,陈金富,段献忠.含风电场电力系统经济调度的模糊建模及优化算法[J].电力系统自动化,2006,30(2):22-26. Chen Haiyan,Chen Jinfu,Duan Xianzhong.Fuzzy modeling and optimization algorithm on dynamic economic dispatching wind power integrated system[J].Automation of Electric Power Systems,2006,30(2):22-26. [12]熊虎,向铁元,陈红坤,等.含大规模间歇式电源的模糊机会约束机组组合研究[J].中国电机工程学报,2013,33(13):36-44. Xiong Hu,Xiang Tieyuan,Chen Hongkun,et al.Research of fuzzy chance constrained unit commitment containing large-scale intermittent power[J].Proceedings of the CSEE,2013,33(13):36-44. [13]艾欣,刘晓.基于可信性理论的含风电场电力系统动态经济调度[J].中国电机工程学报,2011,31(增):12-19. Ai Xin,Liu Xiao.Dynamic economic dispatch for wind farms integrated power system based on credibility theory[J].Proceedings of the CSEE,2011,31(Sul):12-19. [14]Liang Rueyhuun,Liao Jianhao.A fuzzy optimization approach for generation scheduling with wind and solar energy systems[J].IEEE Transactions on Power Systems,2007,22(4):1665-1674. [15]Cai Jiejin,Ma Xiaoqian,Li Qiong.A multi-objective chaotic ant swarm optimization for environmental/economic dispatch[J].Electrical Power and Energy Systems,2010,32(5):337-344. [16]刘宝碇,赵瑞清,王纲.不确定规划及应用[M].北京:清华大学出版社,2003. [17]徐曼,乔颖,鲁宗相.短期风电功率预测误差综合评价方法[J].电力系统自动化,2011,35(12):20-26. Xu Man,Qiao Ying,Lu Zongxiang.A comprehensive error evaluation method for short-term wind power prediction[J].Automation of Electric Power Systems,2011,35(12):20-26. [18]徐玖平,李军.多目标决策的理论与方法[M].北京:清华大学出版社,2005. [19]陈功贵,陈金富.含风电场电力系统环境经济动态 调度建模与算法[J].中国电机工程学报,2013,33(10):27-35. Chen Gonggui,Chen Jinfu.Environmental/economic dynamic dispatch modeling and method for power systems integrating wind farms[J].Proceedings of the CSEE,2013,33(10):27-35. [20]翁振星,石立宝,徐政,等.计及风电成本的电力系统动态经济调度[J].中国电机工程学报,2014,32(4):514-523. Weng Zhenxing,Shi Libao,Xu Zheng,et al.Power system dynamic economic dispatch incorporating wind power cost[J].Proceedings of the CSEE,2014,32(4):514-523. [21]赵玉新,杨新社,刘利强.新兴元启发式优化方法[M].北京:科学出版社,2013. [22]徐华丽,苏守宝,严扔荣.一种混沌多样性控制的萤火虫优化算法[J].中国科学技术大学学报,2014,44(7):612-619. Xu Huali,Su Shoubao,Yan Rengyong.A firefly algorithm with chaotic diversity control[J].Journal of University of Science and Technology of China,2014,44(7):612-619. [23]张晓花,赵晋泉,陈星莺.节能减排多目标机组组合问题的模糊建模及优化[J].中国电机工程学报,2010,30(22):71-76. Zhang Xiaohua,Zhao Jinquan,Chen Xingying.Multi-objective unit commitment fuzzy modeling and optimization for energy-saving and emission reduction[J].Proceedings of the CSEE,2010,30(22):71-76.
2016, Vol. 31 
