1. School of Energy and Power Engineering Nanjing University of Science & Technology Nanjing 210094 China;
2. NARI Technology Development Limited Company Nanjing 210032 China
A power system security economic dispatch model considering transmission line thermal inertia effect was proposed based on model predictive control methodology. Originally, the meteorological parameters along the conductor were predicted with ARMA model, while the line current was predicted with sensitivity matrix under DC power flow network model. Thus, the future conductor temperature was estimated. Then a receding horizon optimization dispatch model in quadratic programming form was constructed, in which the estimated temperature of transmission line was limited by the maximum allowable temperature instead of traditional ampacity. In the end, the real measuring outputs were taken as the feedback information to close the control loop. On one hand, model economy is promoted by transmission line thermal inertia effect; on the other hand, system security is guaranteed by model predictive control. A simulation was carried out to demonstrate the validity of the proposed model.
[1] Sanders C W, Monroe C A.An algorithm for real- time security constrained economic dispatch[J]. IEEE Transactions on Power Systems, 1987, 2(4): 1068-1074.
[2] Yu Feili, Tu Fang.A real-time constraint manage- ment approach through constraint similarity and pattern recognition in power system[J]. IEEE Transa- ctions on Smart Grid, 2013, 4(4): 1743-1750.
[3] Kai E V H, Alejandro D D, Peter W S. Measurement- based real-time security-constrained economic dis- patch[J]. IEEE Transactions on Power Systems, 2016, 31(5): 3548-3560.
[4] Liu Yanchao, Michael C F, Feng Zhao.Com- putational study of security constrained economic dispatch with multi-stage rescheduling[J]. IEEE Transactions on Power Systems, 2015, 30(2): 920-929.
[5] Oliveira A R L, Soares S, Nepomuceno L. Optimal active power dispatch combining network flow and interior point approaches[J]. IEEE Transactions on Power Systems, 2003, 18(4): 1235-1240.
[6] 孙东磊, 韩学山. 计及电压调节效应的电力系统协同调度[J]. 电工技术学报, 2015, 30(17): 106-116.
Sun Donglei, Han Xueshan.Power system synergistic dispatch considering voltage regulation effect[J]. Transactions of China Electrotechnical Society, 2015, 30(17): 106-116.
[7] 刘文学, 梁军, 贠志皓, 等. 考虑节能减排的多目标模糊机会约束[J]. 电工技术学报, 2016, 31(1): 62-70.
Liu Wenxue, Liang Jun, Yun Zhihao, et al.Multi- objective fuzzy change constrained dynamic dispatch considering energy saving and emission reduction[J]. Transactions of China Electrotechnical Society, 2016, 31(1): 62-70.
[8] Mostafa N, Omid A M, Rachid C, et al.Security constrained unit commitment with dynamic thermal line rating[J]. IEEE Transactions on Power Systems, 2016, 31(3): 2014-2025.
[9] Stephen F, Jason S, Salman M.Temperature- dependent power flow[J]. IEEE Transactions on Power Systems, 2013, 28(4): 4007-4018.
[10] Banakar H, Alguacil N, Galiana F D.Electrothermal coordination: part I, theory and implementation scheme[J]. IEEE Transactions on Power Systems, 2005, 20(2): 798-805.
[11] Alguacil N, Banakar H, Galiana F D.Electrothermal coordination: part II, case studies[J]. IEEE Transa- ctions on Power Systems, 2005, 20(2): 1738-1745.
[12] 丁希亮, 韩学山, 张辉, 等. 电热协调潮流及输电线路温度的变化过程分析[J]. 中国电机工程学报, 2008, 28(19): 138-144.
Ding Xiliang, Han Xueshan, Zhang Hui, et al.Analysis on electrothermal coordination power flow and transmission line temperature variation process[J]. Proceedings of the CSEE, 2008, 28(19): 138-144.
[13] 王孟夏, 韩学山, 蒋哲, 等. 计及电热耦合的潮流数学模型与算法研究[J]. 电力系统自动化, 2008, 32(14): 30-34.
Wang Mengxia, Han Xueshan, Jiang Zhe, et al.Power flow model and algorithm considering electro- thermal coupling[J]. Automation of Electric Power Systems, 2008, 32(14): 30-34.
[14] 张辉, 王孟夏, 韩学山. 电力系统的超前热定值及其应用探讨[J]. 山东大学学报, 2008, 38(6): 25-29.
Zhang Hui, Wang Mengxia, Han Xueshan.The advanced thermal rating of power system and its application[J]. Journal of Shandong University, 2008, 38(6): 25-29.
[15] Wang Mengxia, Zhang Hui, Han Xueshan, et al.Advanced thermal rating and its application[C]// International Conference on Sustainable Power Generation & Supply, Nanjing, China, 2009: 1-5.
[16] 王孟夏, 韩学山, 陈芳, 等. 静态安全分析中计及电热耦合的事故筛选和排序方法[J]. 中国电机工程学报, 2009, 29(增刊1): 11-16.
Wang Mengxia, Han Xueshan, Chen Fang, et al.A contingency screening and ranking method for static security analysis considering electro-thermal coupling[J]. Proceedings of the CSEE, 2009, 29(S1): 11-16.
[17] 王孟夏, 韩学山, 黄金鑫, 等. 计及输电元件热惯性效应的安全约束最优潮流[J]. 中国电机工程学报, 2016, 36(5): 1181-1189.
Wang Mengxia, Han Xueshan, Huang Jinxin, et al.Security constrained optimal power flow considering thermal inertia effect of transmission component[J]. Proceedings of the CSEE, 2016, 36(5): 1181-1189.
[18] De Giorgi M G, Ficarella A, Tarantino M. Error analysis of short term wind power prediction models[J]. Applied Energy, 2011, 88(4): 1298-1311.
[19] 孙靖, 程大章. 基于季节性时间序列模型的空调负荷预测[J]. 电工技术学报, 2004, 19(3): 88-91.
Sun Jing, Cheng Dazhang.Air-conditioning load prediction based on seasonal time series methods[J]. Transactions of China Electrotechnical Society, 2004, 19(3): 88-91.
[20] 蔡宇, 林今, 宋永华, 等. 基于模型预测控制的主动配电网电压控制[J]. 电工技术学报, 2015, 30(23): 42-49.
Cai Yu, Lin Jin, Song Yonghua, et al.Voltage control strategy in active distribution network based on model predictive control[J]. Transactions of China Electrotechnical Society, 2015, 30(23): 42-49.
[21] Moradzadeh M, Boel R, Vandevelde L.Voltage coordination in multi-area power systems via distri- buted model predictive control[J]. IEEE Transactions on Power Systems, 2013, 28(1): 513-521.
[22] 张伯明, 陈建华, 吴文传. 大规模风电接入电网的有功分层模型预测控制方法[J].电力系统自动化, 2014, 38(9): 6-14.
Zhang Boming, Chen Jianhua, Wu Wenchuan.A hierarchical model control method of active power for accommodating large-scale wind farm power integration[J]. Automation of Electric Power Systems, 2014, 38(9): 6-14.
[23] Xia Xiaohua, Zhang Jiangfeng, Elaiw Ahmed.An application of model predictive control to the dynamic economic dispatch of power generation[J]. Control Engineering Practice, 2011, 19(6): 638-648.
[24] 杨冬锋, 周苏荃, 魏剑啸. 基于MPC的超短期优化调度策略研究[J].电力系统保护与控制, 2015, 43(11): 21-26.
Yang Dongfeng, Zhou Suquan, Wei Jianxiao, et al.Ultra-short term optimal dispatch method based on MPC[J]. Power System Protection and Control, 2015, 43(11): 21-26.
[25] 刘萌, 褚晓东, 张文. 计及网络约束的源-荷协同频率控制策略[J]. 电工技术学报, 2016, 31(6): 195-205.
Liu Meng, Chu Xiaodong, Zhang Wen.Cooperative generation-load frequency control strategy accounting for power network constraints[J]. Transactions of China Electrotechnical Society, 2016, 31(6): 195-205.
[26] Mads R A, Ian A H.Model-predictive cascade mitigation in electric power systems with storage and renewables-part I: theory and implementation[J]. IEEE Transactions on Power Systems, 2015, 30(1): 67-77.
[27] 邹涛, 丁宝苍, 张端. 模型预测控制工程应用导论[M]. 北京: 化学工业出版社, 2010.
[28] IEC 1995 Overhead electrical conductors-calculation methods for stranded bare conductors[S]. 1995.
[29] Van Horn K E, Dominguez-Garacia A D, Saue P W. Measurement-based real-time security-constrained economic dispatch[J]. IEEE Transactions on Power Systems, 2016, 31(5): 3548-3560.
[30] 李彩华, 郭志忠. 电力系统优化调度概述-经济调度与最优潮流[J]. 电力系统及其自动化学报, 2002, 14(2): 60-63.
Li Caihua, Guo Zhizhong.Summary of power system optimal dispatch-economic dispatch and optimal power flow[J]. Proceedings of the EPSA, 2002, 14(2): 60-63.
[31] 韩祯祥. 电力系统分析[M]. 杭州: 浙江大学出版社, 2010.
[32] Nejdawi I M, Clements K A, Davis P W.An efficient interior point method for sequential quadratic programming based optimal power flow[J]. IEEE Transactions on Power Systems, 2000, 15(4): 1179-1183.