Abstract:Many reasons, such as power system load changes, sub-synchronous resonance and so on, will cause the system frequency to deviate from the nominal frequency of the system. The maximum frequency deviation specified in IEEE standard C37.118.1 and the latest revised C37.118.1a can reach 5Hz and larger frequency deviation will cause Taylor-Fourier to produce serious analysis errors. This paper proposed a dynamic synchronous phasor estimator considering frequency deviation. In this estimator, multiple discrete frequencies were generated at fixed frequency intervals on both sides of the nominal frequency, and then the corresponding dynamic filters were generated offline based on these frequencies, and the filter coefficients were saved to the memory for use during online operation. When the algorithm was running, Taylor-Fourier was used as a frequency detector to predict the signal frequency, and the closest discrete frequency was selected according to the predicted frequency. Then, the corresponding filter was found through the lookup table method to analyze the input signal and accurate measurement of synchronous phasor was realized under the frequency deviation case. Finally, the proposed estimator was tested through simulation and actual signal data. Test results show that the estimator can estimate the synchrophasor, frequency and rate of change of frequency under frequency deviation conditions.
[1] Wang M, Sun Y.A practical, precise method for frequency tracking and phasor estimation[J]. IEEE Transactions on Power Delivery, 2004, 19(4): 1547-1552. [2] 金涛, 陈毅阳, 段小华, 等. 基于改进DFT的电力系统同步相量测量算法研究[J]. 电工技术学报, 2017, 32(17): 1-10. Jin Tao, Chen Yiyang, Duan Xiaohua, et al.Research on synchronous phasor measurement algorithm of power system based on improved DFT[J]. Transactions of China Electrotechnical Society, 2017, 32(17): 1-10. [3] Frigo G, Dervikadi A, Paolone M.Reduced leakage synchrophasor estimation: hilbert transform plus interpolated DFT[J]. IEEE Transactions on Instrumentation and Measurement, 2019, 68(10): 3468-3483. [4] 许苏迪, 刘灏, 毕天姝, 等. 一种适用于同步相量测量装置校准器的高精度相量测量方法[J]. 电工技术学报, 2020, 35(2): 372-382. Xu Sudi, Liu Hao, Bi Tianshu, et al.A high accuracy phasor estimation algorithm for phasor measurement units calibrator[J]. Transactions of China Electrotechnical Society, 2020, 35(2): 372-382. [5] Serna J A de la O. Dynamic phasor estimates for power system oscillations and transient detection[C]// Power Engineering Society General Meeting, Montreal, QC, 2007: 7. [6] Serna J A de la O. Dynamic phasor estimates for power system oscillations[J]. IEEE Transactions on Instrumentation & Measurement, 2007, 56(5): 1648-1657. [7] Garza M A P, Antonio D L O S J. Dynamic phasor estimates through maximally flat differentiators[C]// 2008 IEEE Power and Energy Society General Meeting- Conversion and Delivery of Electrical Energy in the 21st Century, Pittsburgh, PA, 2008: 1-8. [8] Garza M A P, Serna J A de la O. Dynamic phasor and frequency estimates through maximally flat differen-tiators[J]. IEEE Transactions on Instrumentation & Measurement, 2010, 59(7): 1803-1811. [9] Garza M A P, Serna J A de la O. Polynomial implementation of the taylor-fourier transform for harmonic analysis[J]. IEEE Transactions on Instrumentation & Measurement, 2014, 63(12):2846-2854. [10] 刘洁波,黄纯,江亚群,等. 基于强跟踪泰勒-卡尔曼滤波器的动态相量估计算法[J]. 电工技术学报, 2018, 33(2): 433-441. Liu Jiebo, Huang Chun, Jiang Yaqun, et al.Dynamic phasor estimator based on strong tracking Taylor-Kalman filter[J]. Transactions of China Electrotechnical Society, 2018, 33(2): 433-441. [11] Garza M A P, Serna J A de la O. Dynamic harmonic analysis through taylor-fourier transform[J]. IEEE Transactions on Instrumentation & Measurement, 2011, 60(3): 804-813. [12] Kusljevic M D, Tomic J J.Multiple-resonator-based power system Taylor-fourier harmonic analysis[J]. IEEE Transactions on Instrumentation & Measurement, 2015, 64(2): 554-563. [13] Bertocco M, Frigo G, Narduzzi C, et al.Compressive sensing of a Taylor-fourier multifrequency model for synchrophasor estimation[J]. IEEE Transactions on Instrumentation & Measurement, 2015, 64(12): 3274-3283. [14] Narduzzi C, Bertocco M, Frigo G, et al.Fast-TFM-multifrequency phasor measurement for distribution networks[J]. IEEE Transactions on Instrumentation and Measurement, 2018, 67(8): 1825-1835. [15] Lei Chen, Wei Zhao, Qing Wang, et al.Dynamic harmonic synchrophasor estimator based on sinc interpolation functions[J]. IEEE Transactions on Instrumentation and Measurement, 2019, 68(9): 3054-3065. [16] Fu Ling, Zhang Jiayi, Xiong Siyu, et al.A Modified dynamic synchrophasor estimation algorithm considering frequency deviation[J]. IEEE Transactions on Smart Grid, 2017, 8(2): 640-650. [17] IEEE. Synchrophasors for power systems: C37.118—2005[S]. 2006, doi: 10.1109/IEEESTD.2006.99376. [18] IEEE. Synchrophasor measurements for power systems: C37.118.1—2011[S]. 2011, doi: 10.1109/IEEESTD. 2011. 6111219. [19] IEEE. Synchrophasor measurements for power systems—amendment 1: modification of selected performance requirements: C37.118.1a-2014[S]. 2014, doi: 10.1109/IEEESTD.2014.6804630. [20] 卿柏元, 滕召胜, 高云鹏, 等. 基于Nuttall窗双谱线插值FFT的电力谐波分析方法[J]. 中国电机工程学报, 2008, 28(25): 153-158. Qing Baiyuan, Teng Zhaosheng, Gao Yunpeng, et al.An approach for electrical harmonic analysis based on nuttall window double-spectrum-line interpolation FFT[J]. Proceedings of the CSEE, 2008, 28(25): 153-158. [21] 杨才伟, 王剑, 游小杰, 等. 二阶广义积分器锁频环数字实现准确性对比[J]. 电工技术学报, 2019, 34(12): 2584-2596. Yang Caiwei, Wang Jian, You Xiaojie, et al.Accuracy comparison of digital implementation on the second-order generalized integrator frequency-locked loop[J]. Transactions of China Electrotechnical Society, 2019, 34(12): 2584-2596. [22] Golestan S, Guerrero Ge J M, Vasquez J, et al. Modeling, tuning, and performance comparison of second-order-generalized-integrator-based FLLs[J]. IEEE Transactions on Power Electronics, 2018, 33(12): 10229-10239.