An Online Estimation Method of Power Grid Equivalent Inertia Based on Augmented Recursive Least Squares

doi:10.3969/j.issn.1008-0198.2024.04.006

Abstract

Abstract: In this paper, an online estimation method of equivalent inertia based on measurement data is proposed to solve the problem of equivalent inertia level perception under high proportion of non-synchronous power supply. Firstly, using the data of generator active power change and node frequency, auto regression and moving average model with exogenous input(ARMAX)model models active power-frequency dynamic changes in each region/whole power grid. Furthermore, the recursive extended least squares (RELS) algorithm is used to solve the unknown parameters in the ARMAX model, and the estimated values of the inertia constant of the system or region are identified. In addition, considering the inertia support provided by the interregional contact line, the coupling phenomenon of regional inertia through the contact line after unbalanced power disturbance is estimated and analyzed. Finally, based on the actual data of a provincial power grid, the correctness and effectiveness of the proposed method are verified by simulation tests, and the inertia support provided by the interconnecting regional lines is analyzed.

Key words: equivalent inertia, ARMAX model, RELS algorithm, frequency, tie-line

CLC Number:

TM711

LIU Yonggang, WANG Jingwen, WU Jinbo, SUN Mingrui, LIAO Bangkun, WEN Yunfeng. An Online Estimation Method of Power Grid Equivalent Inertia Based on Augmented Recursive Least Squares[J]. Hunan Electric Power, 2024, 44(4): 40-46.

References

[1] 文云峰,杨伟峰,林晓煌.低惯量电力系统频率稳定分析与控制研究综述及展望[J].电力自动化设备,2020,40(9): 211-222.
[2] POUDYAL A,TAMRAKAR U,TREVIZAN R, et al. Multiarea inertia estimation using convolutional neural networks and federated learning[J]. IEEE Systems Journal, 2022,16(4): 6401-6412.
[3] 孙华东,许涛,郭强,等.英国“8·9”大停电事故分析及对中国电网的启示[J].中国电机工程学报,2019,39(21): 6183-6192.
[4] 刘方蕾,毕天姝,闫家铭,等.基于PMU同步测量的分区惯量估计方法[J].华北电力大学学报(自然科学版),2020,47(3): 19-26.
[5] SUN M,FENG Y,Wall P,et al. On-line power system inertia calculation using wide area measurements[J].International Journal of Electrical Power and Energy Systems, 2019, 109: 325-331.
[6] WALL P,TERZIJA V. Simultaneous estimation of the time of disturbance and inertia in power systems[J]. IEEE Transactions on Power Delivery, 2014, 29(4):2018-2031.
[7] SCHIFFER J,ARISTIDOU P,ORTEGA R.Online estimation of power system inertia using dynamic regressor extension and mixing[J]. IEEE Transactions on Power Systems, 2019,34(6):4993-5001.
[8] TUTTELBERG K,KILTER J,WILSON D,et al. Estimation of power system inertia from ambient wide area measurements[C] //2019 IEEE Power＆Energy Society General Meeting(PESGM),Atlanta,GA,USA.IEEE,2019:1.
[9] 李世春,夏智雄,程绪长,等.基于类噪声扰动的电网惯量常态化连续估计方法[J].中国电机工程学报,2020,40(14): 4430-4439,4723.
[10] 黄思维,张俊勃,曾繁宏.适用于电力系统惯性秒级追踪的高效在线算法[J].高电压技术,2021,47(10): 3519-3527.
[11] 李元臣,文云峰,叶希,等.基于多新息辨识的电力系统节点惯量估计方法[J].电力自动化设备,2022,42(8):89-95.
[12] 王洵阳,李霞林,郭力,等.基于断面信息的多区域互联系统频率响应模型参数估计方法[J].电网技术,2022,46(11): 4277-4291.
[13] 刘巨,赵红生,李梦颖,等. 基于功率谱密度分析的新能源电力系统等效惯量评估[J].高电压技术,2022,48(1):178-188.
[14] SUSUKI Y,HAMASAKI R,ISHIGAME A.Estimation of power system inertia using nonlinear koopman modes[C] //2018 IEEE Power ＆Energy Society General Meeting(PESGM).Portland,OR,USA.IEEE,2018:1-5.
[15] BIZZARRI F,GIUDICE D,GRILLO S, et al. Inertia estimation through covariance matrix[J].IEEE Transactions on Power Systems, 2024, 39(1):947-956.
[16] YANG L,LIU Z H,JIANG W, et al. A Versatile Multi-Agent Reinforcement Learning Benchmark for Inventory Management[EB/OL].(2023-06-13)[2024-04-11].https://arxiv.org/abs/2306.07542.
[17] DING Y L,FENG M X,LIU G Z,et al. Multi-agent reinforcement learning with shared resources for inventory management[EB/OL].(2022-12-18)[2024-04-11].https://arxiv.org/abs/2212.07684.
[18] ZHANG C, WANG X, JIANG W, et al. Whittle index with multiple actions and state constraint for inventory management[C] //2024 12th International Conference on Learning Representations(ICLR).Vienna,Austria.2024.5.
[19] LJUNG L. System identification: Theory for the user[M]. Prentice-Hall RTR,1999.
[20] 刘金琨,沈晓蓉,赵龙.系统辨识理论及MATLAB仿真[M].北京:电子工业出版社,2013.
[21] 方斌.控制系统中的双线性变换研究[J].电子科技大学学报,2002,31(2): 192-195
[22] KUNDUR P. Power system stability and control[M].北京:中国电力出版社,1994.
[23] REHIMI S,MIRZAEI R,BEVRANI H.Interconnected microgrids frequency response model: An inertia-based approach[J].Energy Reports,2020,6: 179-186.