1.College of Electrical and Information Engineering Hunan University Changsha 410082 China 2.State Grid Jiangxi Electric Power Company Electric Power Research Institute Nanchang 330096 China
Abstract：Aiming at the problem of the trade-off between accuracy and real-time performance in power system frequency estimation, this paper proposes a single-cycle frequency measurement method based on the multi-level set. Specifically, the high frequency interference signals are removed by the digital low-pass filter before reconstructing the sampling points around the threshold by using the cubic spline (not-a-knot) interpolation method, and then obtain the frequency estimation results through the optimal combination weighting method. This method is classified as time-domain frequency estimation, and is characterized by robust toward the accuracy of the measurement and low computational effort, which enables power system frequency to get accurate measurement in a single cycle. The reliability and effectiveness of this method are proved by the theoretical analysis as well as the simulation studies.
张政,温和,黎福海,滕召胜,朱亮. 多水平集单周期电力系统频率测量方法及应用[J]. 电工技术学报, 2017, 32(7): 119-127.
Zhang Zheng,Wen He,Li Fuhai,Teng Zhaosheng,Zhu Liang. Multi-Level Set Single-Cycle Power System Frequency Measurement Method and Its Application. Transactions of China Electrotechnical Society, 2017, 32(7): 119-127.
[1] 刘梦欣,王杰,陈陈.电力系统频率控制理论与发展[J].电工技术学报,2007,22(11):135-145. Liu Mengxin,Wang Jie,Chen Chen.Theory and development of power system frequency control[J].Transactions of China Electrotechnical Society,2007,22(11):135-145. [2] 张恒旭,李常刚,刘玉田,等.电力系统动态频率分析与应用研究综述[J].电工技术学报,2010,25(11):169-176. Zhang Hengxu,Li Changgang,Liu Yutian,et al.Reviews on power system dynamic frequency analysis and its application[J].Transactions of China Electrotechnical Society,2010,25(11):169-176. [3] 赵茜茜,王晓茹.电力系统扰动后稳态频率预测快速算法[J].电力系统保护与控制,2011,39(1):72-77. Zhao Qianqian,Wang Xiaoru.A fast predictive algorithm for power system post disturbances steady frequency[J].Power System Protection and Control,2011,39(1):72-77. [4] 杨德友,蔡国伟.基于广域局部量测信息的复杂电力系统自适应低频保护策略研究[J].电工技术学报,2014,29(10):266-275. Yang Deyou,Cai Guowei.Adaptive under frequency load shedding schemes for complex power systems using local measurements[J].Transactions of China Electrotechnical Society,2014,29(10):266-275. [5] 赵晶晶,吕雪,符杨,等.基于可变系数的双馈风机虚拟惯量与超速控制协调的风光柴微电网频率调节技术[J].电工技术学报,2015,30(5):59-68. Zhao Jingjing,Lü Xue,Fu Yang,et al.Frequency regulation of the wind/photovoltaic/diesel microgrid based on DFIG cooperative strategy with variable coefficients between virtual inertia and over-speed control[J].Transactions of China Electrotechnical Society,2015,30(5):59-68. [6] 张辉,蒲天骄,王刚,等.基于实测频率轨迹的机组调速器参数辨识[J].电力系统保护与控制,2014,42(1):24-33. Zhang Hui,Pu Tianjiao,Wang Gang,et al.Governor parameter identification of generation system based on measured frequency curve[J].Power System Protection and Control,2014,42(1):24-33. [7] 燕跃豪,鲍薇,李晓方,等.基于波动传递函数的电网扰动传播频率特性分析[J].电工技术学报,2015,30(21):111-117. Yan Yuehao,Bao Wei,Li Xiaofang,et al.The frequency characteristic analysis of disturbance propagation in power networks based on wave transfer function[J].Transactions of China Electrotechnical Society,2015,30(21):111-117. [8] GB/T 15945-2008.电能质量电力系统频率偏差[S].2008. [9] 赵成勇,胥国毅,何明锋,等.基于改进递归小波的电力系统频率测量[J].电工技术学报,2005,20(6):62-65,76. Zhao Chengyong,Xu Guoyi,He Mingfeng,et al.Power system frequency measurement based on IRWT[J].Transactions of China Electrotechnical Society,2005,20(6):62-65,76. [10]谢小荣,韩英铎.电力系统频率测量综述[J].电力系统自动化,1999,23(3):54-58. Xie Xiaorong,Han Yingduo.An overview on power system frequency measurement[J].Automation of Electric Power Systems,1999,23(3):54-58. [11]Cai Deyu,Regulski P,Osborne M,et al.Wide area Inter-Area oscillation monitoring using fast nonlinear estimation algorithm[J].IEEE Transactions on Smart Grid,2013,4(3):1 173-1721. [12]Sachdev M S,Giray M M.A least error squares technique for determining power system frequency[J].IEEE Transactions on Power Apparatus and Systems,1985,PAS-104(2):437 - 444. [13]Nutaro J,Protopopescu V.A new model of frequency delay in power systems[J].IEEE Transactions on Circuits & Systems II Express Briefs,2012,59(11):840 - 844. [14]卞星明,文远芳,雷琴,等.电力系统测频算法比较[J].高电压技术,2006,32(5):111-114. Bian Xingming,Wen Yuanfang,Lei Qin,et al.Comparison on power system frequency measurement algorithm[J].High Voltage Engineering,2006,32(5):111-114. [15]Ghahremani E,Kamwa I.Dynamic state estimation in power system by applying the extended kalman filter with unknown inputs to phasormeasurements[J].IEEE Transactions on Power Systems,2011,26(4):2 556-2566. [16]Dash P K,Krishnanand K R,Padhee M.Fast recursive Gauss-Newton adaptive filter for the estimation of power system frequency and harmonics in a noisy environment[J].IET Generation,Transmission & Distribution,2011,5(12):1 128-1277. [17]赵仁德,马帅,李海舰,等.基于强跟踪滤波器的电力系统频率测量算法[J].电力系统保护与控制,2013,41(7):85-90. Zhao Rende,Ma Shuai,Li Haijian,et al.Strong tracking filter based frequency-measuring algorithm for power system[J].Power System Protection and Control,2013,41(7):85-90. [18]He Wen,Teng Zhaosheng,Yong Wang,et al.Simple interpolated FFT algorithm based on minimize sidelobe Windows for power-harmonic analysis[J].IEEE Transactions on Power Electronics,2011,26(9):2570-2579. [19]肖朵艳,谭卫斌,张维.一种实用的电力系统频率实时测量方法[J].电力系统保护与控制,2014,42(21):29-33. Xiao Duoyan,Tan Weibin,Zhang Wei.A practical method of real-time measurement for power system frequency[J].Power System Protection and Control,2014,42(21):29-33. [20]谷文静,金涛.基于小波变换的电力系统谐波分析研究[J].电气技术,2012(8):36-40. Gu Wenjing,Jin Tao.Researching of power system harmonic analysis based on wavelet theory[J].Electrical Engineering,2012(8):36-40. [21]李军,王越超.一种基于幅值调制的新型电力系统正弦频率测量方法[J].电工技术学报,2015,30(7):144-150. Li Jun,Wang Yuechao.A novel power system sinusoidal frequency measurement method based on amplitude modulation[J].Transactions of China Electrotechnical Society,2015,30(7):144-150. [22]沈开奎,李延龙,赵媛,等.电网瞬时频率跟踪算法设计[J].电力系统保护与控制,2015,43(5):75-80. Shen Kaikui,Li Yanlong,Zhao Yuan,et al.Design of the grid instantaneous frequency tracking algorithm[J].Power System Protection and Control,2015,43(5):75-80. [23]许珉,杨阳,章梦哲,等.一种加三项余弦窗的加窗插值FFT算法[J].电力系统保护与控制,2010,38(17):11-15. Xu Min,Yang Yang,Zhang Mengzhe,et al.An interpolated FFT algorithm based on three-item cosine window[J].Power System Protection and Control,2010,38(17):11-15. [24]Dyer S A,Dyer J S.Cubic-spline interpolation.1[J].Instrumentation & Measurement Magazine,IEEE,2001,4(1):44-46. [25]Hong Shaohua,Wang Lin,Trieu-Kien T,et al.Novel approaches to the parametric Cubic-Spline interpolation[J].IEEE Transactions on Image Processing,,2013,22(3):1124-1233. [26]Xu Jianzhong,Qu Xiaoyu.Evaluation of environmental technology innovation capacity of equipment manufacturing industry based on optimal combination weights[C]//International Conference on Management Science & Engineering,2014:1677-1685. [27]Hu Runbo,Yang Deli,DiaoXinjun,et al.The research of a reputation assistant decision model in mobile commerce based on optimal combination determining weights method[C]//Wireless Communications,Networking and Mobile Computing,2008:1-4. [28]Penny W D,Husmeier D,Roberts S J.Covariance-based weighting for optimal combination of model predictions[C]//International Conference on Artificial Neural Networks,1999:826-831. [29]Hashem S,Schmeiser B,Yih Y.Optimal linear combinations of neural networks:an overview[C]//IEEE World Congress on IEEE International Conference on Neural Networks,1994:1507-1512. [30]陈华友.多属性决策中基于离差最大化的组合赋权方法[J].系统工程与电子技术,2004,26(2):194-197. Chen Huayou.Combination determining weights method for multiple attribute decision making based on maximizing deviations[J].Systems Engineering and Electronics,2004,26(2):194-197.
2017, Vol. 32 
