Abstract:The uncertainty of wind power has effect on small disturbance stability of power system, and the wind speed of wind farm with near geographical position has a certain correlation. This paper established the dynamic model of doubly fed induction generator (DFIG), a wind farm cluster model considering wind speed correlation is established by using Nataf transform. Using stochastic response surface method (SRSM), taking wind speed as input, eigenvalues, damping ratio and frequency of system as output, the small disturbance stability is analysized. At the same time, probability distribution point selection method based on linear independent principle is used to choose the effective distribution point, which improves the computational efficiency of SRSM. In the 10 machine 39 bus system, comparing SRSM with Monte Carlo method, the results show that the SRSM calculation results are precise and reliable, the computation time is far less than the Monte Carlo computation time, and can realize the rapid assessment of the small disturbance stability analysis of power systems. Whether considering the correlation of wind speeds were compared. Results show that considering the correlation of wind speed has smaller fluctuation of the small disturbance analysis result, which has a more clear guiding significance for the safe and stable operation of power system.
马燕峰, 刘佳, 闫纪源. 基于随机响应面法的含风电电力系统小扰动稳定性分析[J]. 电工技术学报, 2017, 32(6): 49-57.
Ma Yanfeng, Liu Jia, Yan Jiyuan. Small Disturbance Stability Analysis of Power System Containing Wind Power Based on Stochastic Response Surface Method. Transactions of China Electrotechnical Society, 2017, 32(6): 49-57.
[1] 柳杰. 含风电场电力系统概率潮流模型研究及其在无功优化中的应用[D]. 成都: 西南交通大学, 2012. [2] Hockenberry J R, Lesieutre B C. Evaluation of uncertainty in dynamic simulations of power system models: the probabilistic collocation method[J]. IEEE Transactions on Power Systems, 2004, 19(3): 1483-1491. [3] 石东源, 蔡德福, 陈金富, 等. 计及输入变量相关性的半不变量法概率潮流计算[J]. 中国电机工程学报, 2012, 32(28): 104-113. Shi Dongyuan, Cai Defu, Chen Jinfu, et al. Probabi- listic load flow calculation based on cumulant method considering correlation between input variables[J]. Proceedings of the CSEE, 2012, 32(28): 104-113. [4] 洪芦诚, 石立宝, 姚良忠, 等. 计及风电场发电功率不确定性的电力系统模糊潮流[J]. 电工技术学报, 2010, 25(8): 116-122. Hong Lucheng, Shi Libao, Yao Liangzhong, et al. Fuzzy modelling and solution of load flow incur- porating uncertainties of wind farm generation[J]. Transactions of China Electrotechnical Society, 2010, 25(8): 116-122. [5] Yu H, Chung C Y, Wong K P, et al. Probabilistic load flow evaluation with hybrid Latin hypercube sampling and Cholesky decomposition[J]. IEEE Transactions on Power Systems, 2009, 24(2): 661-667. [6] 谭谨, 王晓茹, 李龙源. 含大规模风电的电力系统小扰动稳定研究综述[J]. 电力系统保护与控制, 2014, 42(3): 15-23. Tan Jin, Wang Xiaoru, Li Longyuan. A survey on small signal stability analysis of power systems with wind power integration[J]. Power System Protection and Control, 2014, 42(3): 15-23. [7] 边晓燕, 耿艳, 李学武, 等. 风电并网系统小干扰概率稳定性分析与改善[J]. 电力系统保护与控制, 2015, 43(20): 1-7. Bian Xiaoyan, Geng Yan, Li Xuewu, et al. Pro- babilistic small-signal stability analysis and improve- ment of power system with wind farm integration[J]. Power System Protection and Control, 2015, 43(20): 1-7. [8] 韩冬, 贺仁睦, 马进, 等. 基于随机响应面法的动态仿真不确定性分析[J]. 电力系统自动化, 2008, 32(20): 11-14, 100. Han Dong, He Renmu, Ma Jin, et al. Quantitative uncertainty analysis for power system dynamic simulation based on stochastic response surface method[J]. Automation of Electric Power Systems, 2008, 32(20): 11-14, 100. [9] 刘志刚, 刘欢, 柳杰. 计及风电场概率模型的多目标无功优化[J]. 电力系统保护与控制, 2013, 41(1): 197-203. Liu Zhigang, Liu Huan, Liu Jie. Multi-objective reactive power optimization considering wind farm probabilistic model[J]. Power System Protection and Control, 2013, 41(1): 197-203. [10] 韩冬, 马进, 贺仁睦, 等. 基于随机响应面法的电力系统仿真不确定性分析[J]. 电力系统自动化, 2011, 35(24): 12-16, 52. Han Dong, Ma Jin, He Renmu, et al. Uncertainty analysis based on stochastic response surface method in power system simulation[J]. Automation of Elec- tric Power Systems, 2011, 35(24): 12-16, 52. [11] 陈妮亚, 钱政, 孟晓风, 等. 基于空间相关法的风电场风速多步预测模型[J]. 电工技术学报, 2013, 28(5): 15-21. Chen Niya, Qian Zheng, Meng Xiaofeng, et al. Multi-step ahead wind speed forecasting model based on spatial correlation and support vector machine[J]. Transactions of China Electrotechnical Society, 2013, 28(5): 15-21. [12] 蒋程, 刘文霞, 张建华, 等. 含风电接入的发输电系统风险评估[J]. 电工技术学报, 2014, 29(2): 260-270. Jiang Cheng, Liu Wenxia, Zhang Jianhua, et al. Risk assessment of generation and transmission systems considering wind power penetration[J]. Transactions of China Electrotechnical Society, 2014, 29(2): 260-270. [13] 简金宝, 刘思东. 风速空间相关性和最优风电分配[J]. 电力系统保护与控制, 2013, 41(19): 110-117. Jian Jinbao, Liu Sidong. Wind speed spatial corre- lation and optimal wind power allocation[J]. Power System Protection and Control, 2013, 41(19): 110-117. [14] 潘雄, 刘文霞, 徐玉琴, 等. 基于SRSM和Nataf方法的含风电场群电力系统暂态稳定分析[J]. 中国电机工程学报, 2013, 33(16): 56-62. Pan Xiong, Liu Wenxia, Xu Yuqin, et al. Transient stability analysis of power system integrated with wind farm groups based on SRSM and Nataf method[J]. Proceedings of the CSEE, 2013, 33(16): 56-62. [15] 秦志龙, 李文沅, 熊小伏. 考虑风速相关性的发输电系统可靠性评估[J]. 电力系统自动化, 2013, 37(16): 47-52. Qin Zhilong, Li Wenyuan, Xiong Xiaofu. Reliability assessment of composite generation and transmission system considering wind speed correlation[J]. Auto- mation of Electric Power Systems, 2013, 37(16): 47-52. [16] 蔡德福, 陈金富, 石东源, 等. 风速相关性对配电网运行特性的影响[J]. 电网技术, 2013, 37(1): 150-155. Cai Defu, Chen Jinfu, Shi Dongyuan, et al. Impact of wind speed correlation on operation characteristics of distribution network[J]. Power System Technology, 2013, 37(1): 150-155. [17] 张龙, 黄家栋, 王莉莉. 风速相关性对电力系统暂态稳定的影响[J]. 电力系统保护与控制, 2014, 42(6): 77-83. Zhang Long, Huang Jiadong, Wang Lili. Impact of wind speed correlation on transient stability of power system[J]. Power System Protection and Control, 2014, 42(6): 77-83. [18] 吴巍, 汪可友, 韩蓓, 等. 基于Pair Copula的随机潮流三点估计法[J]. 电工技术学报, 2015, 30(9): 121-128. Wu Wei, Wang Keyou, Han Bei, et al. Pair Copula based three-point estimate method for probabilistic load flow calculation[J]. Transactions of China Elec- trotechnical Society, 2015, 30(9): 121-128. [19] 潘雄, 周明, 孔晓民, 等. 风速相关性对最优潮流的影响[J]. 电力系统自动化, 2013, 37(6): 37-41. Pan Xiong, Zhou Ming, Kong Xiaoming, et al. Impact of wind speed correlation on optimal power flow[J]. Automation of Electric Power Systems, 2013, 37(6): 37-41. [20] 张立波, 程浩忠, 曾平良, 等. 基于Nataf逆变换的概率潮流三点估计法[J]. 电工技术学报, 2016, 31(6): 187-194. Zhang Libo, Cheng Haozhong, Zeng Pingliang, et al. A three-point estimate method for solving pro- babilistic load flow based on inverse Nataf transfor- mation[J]. Transactions of China Electrotechnical Society, 2016, 31(6): 187-194. [21] 蒋水华, 李典庆, 周创兵. 随机响应面法最优概率配点数目分析[J]. 计算力学学报, 2012, 29(3): 345-351. Jiang Shuihua, Li Dianqing, Zhou Chuangbing. Study on optimal probabilistic collocation points of stochastic response surface method[J]. Chinese Journal of Computational Mechanics, 2012, 29(3): 345-351. [22] 杜文娟, 王海风. 电力系统低频振荡功率振荡阻尼转矩分析理论与方法[M]. 北京: 科学出版社, 2015. [23] Ribrant J, Margareta L. Survey of failures in wind power systems with focus on Swedish wind power plant[J]. IEEE Transactions on Energy Conversion, 2007, 22(1): 167-173. [24] 江劲舟. 考虑大规模风电并网的电力系统小干扰概率稳定性研究[D]. 保定: 华北电力大学, 2015. [25] Carta J, Pamírez P, Velázquez S. A review of wind speed probability distributions used in wind energy analysis[J]. Renewable and Sustainable Energy Reviews, 2009, 13(5): 933-955. [26] 刘文霞. 大型风电场接入对区域电网暂态电压稳定影响的研究[D]. 保定: 华北电力大学, 2013.