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Robust Dynamic State Estimation of Doubly-Fed Induction Generator Considering Measurement Correlation in Wind Farms |
Zhu Maolin, Liu Hao, Bi Tianshu |
State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources North China Electric Power University Beijing 102206 China |
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Abstract Wind power is characterized by strong intermittency, random fluctuating and low schedulability. Dynamic state estimation (DSE) of doubly-fed induction generators (DFIGs) based on phasor measurement unit (PMU) can provide reliable data basis for wind farm energy management system, which helps to suppress the influence of wind power fluctuation on power grid. However, DSE of a single DFIG needs input its terminal measurements, but currently it is not common for wind farms (WFs) configuring PMUs for each wind turbine. Besides, DSE based on the prediction-filtering framework of Kalman filter is susceptible to bad measurement data and disturbances. To address these issues, this paper proposes a robust DSE method of DFIG considering the measurement correlation in WFs. Firstly, considering that a WF can be considered as a small radial grid, its topological characteristics are leveraged to obtain the optimal installation locations of PMUs. And the time-dimension constraint information of DFIG dynamic model is included to construct the redundant measurement set. Secondly, the terminal electrical quantities of all DFIGs are estimated by weighted least absolute value (WLAV) estimation method based on the redundant measurement set. This way, the bad data in the DSE inputs and measurements can be filtered out by WLAV after distinguishing disturbances and bad measurement data. Finally, when the innovation of cubature Kalman filter is abnormal, it can be considered that the prediction vector deviates from the true value. The process noise covariance matrix is then adjusted by introducing a process noise scale factor, which can reduce the influence of the predicted values on the final estimation results. Thus, this integrated method has low requirements for measurement configuration and can deal with disturbances and bad data in the DSE inputs and measurements simultaneously. Simulation results on a WF with 16 DFIGs show that, only 5 PMUs are needed to make all buses of the WF observable, and the dimension of the measurement set increases from 34 to 50 by incorporating the predicted terminal currents of all DFIGs as virtual measurements. As the measurement redundancy increases, the root-mean-square error (RMSE) of the estimated DFIG terminal electrical quantities reduces from 0.251 to 0.009 which is close to the RMSE of the ideal measurement set. Besides, based on the spatial correlation of the PMU measurements at the different buses, the voltage drop disturbance at the point of common coupling and bad measurement data at Bus 6 are correctly detected and discriminated. And when bad measurement data and disturbances exist, the mean RMSE of the dynamic states estimated by the proposed method is lower than other comparison methods. For example, the RMSE of rotor speed drops from 0.009 to 0.003. Simulation is also carried out on an actual wind farm in a certain area to verify the performance of the proposed method for large scale wind farms, and the results demonstrate its good generalization ability. The following conclusions can be drawn from the simulation analysis: ① With the optimal configuration of PMUs and the spatial correlation of phasor measurements, all wind farm buses can be observed with a small number of PMUs. The temporal correlation of DFIG dynamic states can be leveraged to construct the redundant measurement to improve the estimation accuracy. ② The spatial correlation of PMU measurements can be used to effectively distinguish disturbances and bad measurement data. And the robust WLAV method is used to estimate the terminal electrical quantities of all DFIGs. It can also filter out the influence of PMU bad data on input vector and measurement vector of DSE, which is difficult to cope with during the DSE execution. ③ The process noise scale factor introduced to reduce the weight of prediction value is able to deal with the inaccurate predicted states of DFIG when a disturbance occurs.
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Received: 29 July 2022
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[1] 周博, 艾小猛, 方家琨, 等. 计及超分辨率风电出力不确定性的连续时间鲁棒机组组合[J]. 电工技术学报, 2021, 36(7): 1456-1467. Zhou Bo, Ai Xiaomeng, Fang Jiakun, et al.Continuous-time modeling based robust unit commitment considering beyond-the-resolution wind power uncertainty[J]. Transactions of China Electrotechnical Society, 2021, 36(7): 1456-1467. [2] 陈昌松, 段善旭, 殷进军, 等. 基于发电预测的分布式发电能量管理系统[J]. 电工技术学报, 2010, 25(3): 150-156. Chen Changsong, Duan Shanxu, Yin Jinjun, et al.Energy management system of distributed generation based on power forecasting[J]. Transactions of China Electrotechnical Society, 2010, 25(3): 150-156. [3] Zhao Junbo, Gómez-Expósito A, Netto M, et al.Power system dynamic state estimation: motivations, definitions, methodologies, and future work[J]. IEEE Transactions on Power Systems, 2019, 34(4): 3188-3198. [4] 贾宁, 王彬, 孙宏斌, 等. 基于全景精细化模型的风电场能量管理系统研制及应用[J]. 电力系统保护与控制, 2016, 44(14): 61-68. Jia Ning, Wang Bin, Sun Hongbin, et al.Development and application of panoramic fine modeling based wind farm energy management system[J]. Power System Protection and Control, 2016, 44(14): 61-68. [5] 王彤, 高明阳, 黄世楼, 等. 基于自适应容积卡尔曼滤波的双馈风力发电机动态状态估计[J]. 电网技术, 2021, 45(5): 1837-1845. Wang Tong, Gao Mingyang, Huang Shilou, et al.Dynamic state estimation for doubly fed induction generator wind turbine based on adaptive cubature Kalman filter[J]. Power System Technology, 2021, 45(5): 1837-1845. [6] Yu Shenglong, Fernando T, Iu H H C, et al. Realization of state-estimation-based DFIG wind turbine control design in hybrid power systems using stochastic filtering approaches[J]. IEEE Transactions on Industrial Informatics, 2016, 12(3): 1084-1092. [7] Yu Shenglong, Emami K, Fernando T, et al.State estimation of doubly fed induction generator wind turbine in complex power systems[J]. IEEE Transactions on Power Systems, 2016, 31(6): 4935-4944. [8] Liu Hao, Bi Tianshu, Xu Sudi, et al.A full-view synchronized measurement system for the renewables, controls, loads, and waveforms of power-electronics-enabled power distribution grids[J]. IEEE Transactions on Smart Grid, 2022, 13(5): 3879-3890. [9] 巫春玲, 胡雯博, 孟锦豪, 等. 基于最大相关熵扩展卡尔曼滤波算法的锂离子电池荷电状态估计[J]. 电工技术学报, 2021, 36(24): 5165-5175. Wu Chunling, Hu Wenbo, Meng Jinhao, et al.State of charge estimation of lithium-ion batteries based on maximum correlation-entropy criterion extended Kalman filtering algorithm[J]. Transactions of China Electrotechnical Society, 2021, 36(24): 5165-5175. [10] Anagnostou G, Kunjumuhammed L P, Pal B C.Dynamic state estimation for wind turbine models with unknown wind velocity[J]. IEEE Transactions on Power Systems, 2019, 34(5): 3879-3890. [11] 焦自权, 范兴明, 张鑫, 等. 基于改进粒子滤波算法的锂离子电池状态跟踪与剩余使用寿命预测方法[J]. 电工技术学报, 2020, 35(18): 3979-3993. Jiao Ziquan, Fan Xingming, Zhang Xin, et al.State tracking and remaining useful life predictive method of Li-ion battery based on improved particle filter algorithm[J]. Transactions of China Electrotechnical Society, 2020, 35(18): 3979-3993. [12] 马安安, 江全元, 熊鸿韬, 等. 考虑量测坏数据的发电机动态状态估计方法[J]. 电力系统自动化, 2017, 41(14): 140-146. Ma Anan, Jiang Quanyuan, Xiong Hongtao, et al.Dynamic state estimation method for generator considering measurement of bad data[J]. Automation of Electric Power Systems, 2017, 41(14): 140-146. [13] 毕天姝, 陈亮, 薛安成, 等. 基于鲁棒容积卡尔曼滤波器的发电机动态状态估计[J]. 电工技术学报, 2016, 31(4): 163-169. Bi Tianshu, Chen Liang, Xue Ancheng, et al.Dynamic state estimator for synchronous machines based on robust cubature Kalman filter[J]. Transactions of China Electrotechnical Society, 2016, 31(4): 163-169. [14] 刘朋成, 项中明, 江全元, 等. 基于鲁棒容积卡尔曼滤波的同步发电机实时动态状态估计方法[J]. 电网技术, 2019, 43(8): 2860-2868. Liu Pengcheng, Xiang Zhongming, Jiang Quanyuan, et al.Real-time dynamic state estimation for synchronous machines based on robust CKF[J]. Power System Technology, 2019, 43(8): 2860-2868. [15] 魏博, 邵冲, 张柏林, 等. 基于下垂特性的风电场参与电网快速频率调整实测分析[J]. 电气技术, 2020, 21(6): 39-44, 62. Wei Bo, Shao Chong, Zhang Bolin, et al.Actual measurement and analysis of wind power plant participating in power grid fast frequency regulation base on droop characteristic[J]. Electrical Engineering, 2020, 21(6): 39-44, 62. [16] Simon D.Optimal state estimation[M]. Hoboken: Wiley, 2006. [17] 李龙源, 付瑞清, 吕晓琴, 等. 接入弱电网的同型机直驱风电场单机等值建模[J]. 电工技术学报,2022: 1-14. Li Longyuan, Fu Ruiqing, Lü Xiaoqin, et al.Single machine equivalent modeling of weak grid connected wind farm with same type PMSGs[J]. Transactions of China Electrotechnical Society, 2022: 1-14. [18] Chen Xuebing, Wei Feng, Cao Shuyu, et al.PMU placement for measurement redundancy distribution considering zero injection bus and contingencies[J]. IEEE Systems Journal, 2020, 14(4): 5396-5406. [19] Ghosh S, Isbeih Y J, Azman S K, et al.Optimal PMU allocation strategy for completely observable networks with enhanced transient stability characteristics[J]. IEEE Transactions on Power Delivery, 2022, 37(5): 4086-4102. [20] 刘灏, 朱世佳, 毕天姝. 基于局部离群因子的PMU连续坏数据检测方法[J]. 电力系统自动化, 2022, 46(1): 25-32. Liu Hao, Zhu Shijia, Bi Tianshu.Continuous bad data detection method for PMU based on local outlier factor[J]. Automation of Electric Power Systems, 2022, 46(1): 25-32. [21] 杨晓梅, 罗月婉, 肖先勇, 等. 基于自适应阈值和奇异值分解的电能质量扰动检测新方法[J]. 电网技术, 2018, 42(7): 2286-2294. Yang Xiaomei, Luo Yuewan, Xiao Xianyong, et al.A new detection approach of power quality disturbances based on adaptive threshold and singular value decomposition[J]. Power System Technology, 2018, 42(7): 2286-2294. [22] Rouhani A, Abur A.Linear phasor estimator assisted dynamic state estimation[J]. IEEE Transactions on Smart Grid, 2018, 9(1): 211-219. [23] 国家质量监督检验检疫总局, 中国国家标准化管理委员会. GB/T 26862—2011 电力系统同步相量测量装置检测规范[S]. 北京: 中国标准出版社, 2011. [24] 国家电网公司. Q/GDW 11491-2015 风电机组建模验证及参数校验导则[S]. 北京,2016. [25] 赵洪山, 田甜. 基于自适应无迹卡尔曼滤波的电力系统动态状态估计[J]. 电网技术, 2014, 38(1): 188-192. Zhao Hongshan, Tian Tian.Dynamic state estimation for power system based on an adaptive unscented Kalman filter[J]. Power System Technology, 2014, 38(1): 188-192. [26] 韩佶, 苗世洪, 李力行, 等. 基于多视角迁移学习的风场内机群划分及等值风场参数综合优化[J]. 中国电机工程学报, 2020, 40(15): 4866-4881. Han Ji, Miao Shihong, Li Lixing, et al.Wind turbines clustering in wind farm based on multi-view transfer learning and synthetic optimization of parameters in equivalent wind farm[J]. Proceedings of the CSEE, 2020, 40(15): 4866-4881. |
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