Parameter Identification of Sub/Super-Synchronous Oscillations in Wind Farms Based on Improved Synchro-Reassigning Transform
Wang Lixin, Zhang Zihan, Sun Zhenglong, Jiang Shouqi, Cai Guowei
Key Laboratory of Modern Power System Simulation and Control & Renewable Energy Technology Ministry of Education Northeast Electric Power University Jilin 132012 China
Abstract:With the large-scale integration of wind farms into power grids, the issues of sub-synchronous and super-synchronous oscillations have become increasingly prominent. Accurate identification of oscillation parameters is of great significance for ensuring the safe and stable operation of power system equipment. However, existing identification methods generally suffer from poor noise robustness and modal aliasing problems. To address these issues, this paper proposes an improved synchro-reassigning transform (ISRT)-based decomposition method, combined with the Hilbert transform (HT), for the identification of sub-synchronous and super-synchronous oscillation modal parameters. Firstly, the wide-area measurement data are processed by short-time Fourier transform (STFT) to obtain the time-frequency coefficient matrix of the signal. Subsequently, noise-induced spurious modes are removed by applying mode energy weight. Then, a three-step selection rule is applied to extract the instantaneous frequency trajectories of the oscillation modes from the time-frequency matrix, enabling accurate separation and time-domain reconstruction of each mode. Subsequently, the Hilbert transform is employed to accurately extract the characteristic parameters of each oscillation mode, including oscillation frequency, damping factor, and amplitude. Finally, the effectiveness of the proposed method is validated through tests on synthetic signals, electromagnetic transient simulation signals, and field-measured power grid data. The simulation results demonstrate that the proposed method achieves higher identification accuracy and better noise robustness compared with STFT, SET, FSST and MSST algorithms. The main conclusion of this paper can be summarized as follows: (1) The proposed method extends one-dimensional time-domain signals to the two-dimensional time-frequency domain for analysis. By introducing a mode energy weight threshold, it effectively eliminates noisy pseudo-modes. Furthermore, a three-step selection criterion is applied to retain time-frequency coefficients corresponding to true oscillation modes. This approach significantly mitigates the scale ambiguity issue inherent in traditional time-frequency analysis methods, thereby improving the accuracy of time-frequency decomposition for measured signals and enhancing the precision of sub/super-synchronous oscillation parameter identification. (2) Compared with existing methods, such as STFT, FSST, SET, MSST, the proposed approach achieves higher concentration in the time-frequency representation, offers superior time-frequency resolution, effectively alleviates mode mixing and redundant information interference, and exhibits strong robustness against noise. These advantages contribute to improved accuracy in identifying sub/super-synchronous oscillation parameters under high-noise conditions. (3) The proposed method was validated using self-synthesized signals, electromagnetic transient simulation signals, and real-world power grid sub-synchronous oscillation data. The results demonstrate that the proposed method can accurately identify sub/super-synchronous oscillation parameters.
王丽馨, 张子晗, 孙正龙, 江守其, 蔡国伟. 基于改进同步重分配变换的风电场次/超同步振荡参数辨识[J]. 电工技术学报, 2026, 41(15): 5072-5089.
Wang Lixin, Zhang Zihan, Sun Zhenglong, Jiang Shouqi, Cai Guowei. Parameter Identification of Sub/Super-Synchronous Oscillations in Wind Farms Based on Improved Synchro-Reassigning Transform. Transactions of China Electrotechnical Society, 2026, 41(15): 5072-5089.
[1] 徐衍会, 李佳晏, 李文韬, 等. 基于工频测量阻抗的新能源并网系统次/超同步振荡源定位方法[J]. 电工技术学报, 2025, 40(14): 4601-4613. Xu Yanhui, Li Jiayan, Li Wentao, et al.Oscillation source location method of renewable energy grid-connected system based on fundamental frequency measurement impedance[J]. Transactions of China Electrotechnical Society, 2025, 40(14): 4601-4613. [2] 甄永赞, 狄依容, 胡永强, 等. 数据驱动的风光场站次同步振荡多机协同阻尼控制方法[J]. 电工技术学报, 2024, 39(18): 5855-5867, 5898. Zhen Yongzan, Di Yirong, Hu Yongqiang, et al.Data-driven multi-machine cooperative damping control for wind and photovoltaic plants restraining sub-synchronous oscillation[J]. Transactions of China Electrotechnical Society, 2024, 39(18): 5855-5867, 5898. [3] 姜涛, 张鹏, 李雪, 等. 基于多元同步压缩广义S变换的电力系统次同步振荡源定位[J]. 电力系统自动化, 2025, 49(9): 135-145. Jiang Tao, Zhang Peng, Li Xue, et al.Location of subsynchronous oscillation source in power systems using multivariate synchrosqueezing generalized S-transform[J]. Automation of Electric Power Systems, 2025, 49(9): 135-145. [4] 张放, 李佳欣, 史静舒. 基于基波同步相量的次/超同步振荡参数辨识探究: 频谱特性和关键问题[J]. 电工技术学报, 2024, 39(19): 6018-6038, 6053. Zhang Fang, Li Jiaxin, Shi Jingshu.Research on subsynchronous/supersynchronous oscillation parameter identification based on fundamental synchrophasor: spectrum characteristics and essential issues[J]. Transactions of China Electrotechnical Society, 2024, 39(19): 6018-6038, 6053. [5] 马宁宁, 谢小荣, 亢朋朋, 等. 高比例风电并网系统次同步振荡的广域监测与分析[J]. 中国电机工程学报, 2021, 41(1): 65-74. Ma Ningning, Xie Xiaorong, Kang Pengpeng, et al.Wide-area monitoring and analysis of subsynchronous oscillation in power systems with high-penetration of wind power[J]. Proceedings of the CSEE, 2021, 41(1): 65-74. [6] Sun Bo, Wu Xi, Chen Xi, et al.Parameter estimation of sub-/super-synchronous oscillation based on interpolated all-phase fast Fourier transform with optimized window function[J]. Journal of Modern Power Systems and Clean Energy, 2024, 12(4): 1031-1041. [7] 马钺, 蔡东升, 黄琦. 基于Rife-Vincent窗和同步相量测量数据的风电次同步振荡参数辨识[J]. 中国电机工程学报, 2021, 41(3): 789-802. Ma Yue, Cai Dongsheng, Huang Qi.Parameter identification of wind power sub-synchronous oscillation based on Rife-Vincent window and synchrophasor data[J]. Proceedings of the CSEE, 2021, 41(3): 789-802. [8] 金涛, 刘对. 基于广义形态滤波与改进矩阵束的电力系统低频振荡模态辨识[J]. 电工技术学报, 2017, 32(6): 3-13. Jin Tao, Liu Dui.Power system low frequency oscillation identification based on the generalized morphological method and improved matrix pencil algorithm[J]. Transactions of China Electrotechnical Society, 2017, 32(6): 3-13. [9] Zeng Xueyang, Chen Gang, Liu Yilin, et al.Parameter identification of power grid subsynchronous oscillations based on eigensystem realization algorithm[J]. Energies, 2024, 17(11): 2575. [10] 张骞, 边晓燕, 徐鑫裕, 等. 基于SVD-Prony及主成分回归的次同步振荡阻尼特性影响因素研究[J]. 电工技术学报, 2022, 37(17): 4364-4376. Zhang Qian, Bian Xiaoyan, Xu Xinyu, et al.Analysis of influencing factors on damping characteristics of subsynchronous oscillation based on singular value decomposition-Prony and principal component regression[J]. Transactions of China Electrotechnical Society, 2022, 37(17): 4364-4376. [11] 王丽馨, 蔡国伟, 杨德友, 等. 基于自适应变分模态分解的电力系统机电振荡特征提取[J]. 电网技术, 2019, 43(4): 1387-1395. Wang Lixin, Cai Guowei, Yang Deyou, et al.Extracting modes from electromechanical oscillation signals for power system based on adaptive variational mode decomposition[J]. Power System Technology, 2019, 43(4): 1387-1395. [12] 马燕峰, 赵书强. 用改进的Hilbert-Huang变换辨识电力系统低频振荡[J]. 高电压技术, 2012, 38(6): 1492-1499. Ma Yanfeng, Zhao Shuqiang.Identification of low-frequency oscillations in power system based on improved Hilbert-Huang transform[J]. High Voltage Engineering, 2012, 38(6): 1492-1499. [13] 姜涛, 高浛, 李雪, 等. 电力系统强迫振荡源定位的耗散能量谱方法[J]. 中国电机工程学报, 2023, 43(8): 2940-2952. Jiang Tao, Gao Han, Li Xue, et al.Forced oscillation source location in power system using dissipation energy spectrum[J]. Proceedings of the CSEE, 2023, 43(8): 2940-2952. [14] Jiang Tao, Bai Linquan, Li Guoqing, et al.Estimating inter-area dominant oscillation mode in bulk power grid using multi-channel continuous wavelet transform[J]. Journal of Modern Power Systems and Clean Energy, 2016, 4(3): 394-405. [15] 赵妍, 崔浩瀚, 荣子超. 次同步振荡在线监测的同步提取变换和朴素贝叶斯方法[J]. 电力系统自动化, 2019, 43(3): 187-192. Zhao Yan, Cui Haohan, Rong Zichao.On-line monitoring of subsynchronous oscillation based on synchroextracting transform and naive Bayes method[J]. Automation of Electric Power Systems, 2019, 43(3): 187-192. [16] 魏东辉, 房俊龙. 基于高阶傅里叶同步挤压变换与希尔伯特变换的次同步振荡分析[J]. 高电压技术, 2022, 48(3): 1192-1203. Wei Donghui, Fang Junlong.Analysis of subsynchronous oscillation based on high-order Fourier synchrosqueezed transform and Hilbert transform[J]. High Voltage Engineering, 2022, 48(3): 1192-1203. [17] Ma Yue, Huang Qi, Zhang Zhenyuan, et al.Application of multisynchrosqueezing transform for subsynchronous oscillation detection using PMU data[J]. IEEE Transactions on Industry Applications, 2021, 57(3): 2006-2013. [18] 喻敏, 王斌, 陈绪轩, 等. 同步挤压小波变换在电力系统低频振荡模态参数提取中的应用[J]. 电工技术学报, 2017, 32(6): 14-20. Yu Min, Wang Bin, Chen Xuxuan, et al.Application of synchrosqueezed wavelet transform for extraction of the oscillatory parameters of low frequency oscillation in power systems[J]. Transactions of China Electrotechnical Society, 2017, 32(6): 14-20. [19] Li Miaofen, Wang Tianyang, Kong Yun, et al.Synchro-reassigning transform for instantaneous frequency estimation and signal reconstruction[J]. IEEE Transactions on Industrial Electronics, 2022, 69(7): 7263-7274. [20] Wang Jianguo, Tian Ye, Dai Fufeng, et al.Local maximum synchrosqueezing reassigning chirplet transform and its application to gearbox fault diagnosis[J]. Measurement Science and Technology, 2024, 35(8): 086121. [21] Song Yuanwei, Hu Ying, Chen Xuping, et al.Time-reassigning transform for the time-frequency analysis of seismic data[J]. IEEE Transactions on Geoscience and Remote Sensing, 2024, 62: 4505811. [22] Yu Gang, Yu Mingjin, Xu Chuanyan.Synchro-extracting transform[J]. IEEE Transactions on Industrial Electronics, 2017, 64(10): 8042-8054. [23] Ahrabian A, Mandic D P.Selective time-frequency reassignment based on synchrosqueezing[J]. IEEE Signal Processing Letters, 2015, 22(11): 2039-2043. [24] Carmona R A, Hwang W L, Torresani B.Multiridge detection and time-frequency reconstruction[J]. IEEE Transactions on Signal Processing, 1999, 47(2): 480-492. [25] Messina A R, Vittal V.Nonlinear, non-stationary analysis of interarea oscillations via Hilbert spectral analysis[J]. IEEE Transactions on Power Systems, 2006, 21(3): 1234-1241. [26] 陈志同, 徐晋, 李国杰, 等. 基于变分模态分解和压缩感知的电力系统宽频振荡监测方法[J]. 电力系统保护与控制, 2022, 50(23): 63-74. Chen Zhitong, Xu Jin, Li Guojie, et al.Monitoring method of power system wide-band oscillation based on variational mode decomposition and compressive sensing[J]. Power System Protection and Control, 2022, 50(23): 63-74. [27] Baraniuk R G, Flandrin P, Janssen A J E M, et al. Measuring time-frequency information content using the Renyi entropies[J]. IEEE Transactions on Information Theory, 2001, 47(4): 1391-1409. [28] Zhang Fang, Li Jiaxin, Liu Jun, et al.An improved interpolated DFT-based parameter identification for sub-/super-synchronous oscillations with synchro-phasors[J]. IEEE Transactions on Power Systems, 2023, 38(2): 1714-1727. [29] Philip J G, Jung J, Onen A.Empirical wavelet transform based method for identification and analysis of sub-synchronous oscillation modes using PMU data[J]. Journal of Modern Power Systems and Clean Energy, 2024, 12(1): 34-40.