|
|
|
| Stability Analysis of Electrified Railway Multiple Train-Network System Based on Impedance Measurement Information |
| Tang Shengde1, Hu Haitao1, Xiao Donghua1, Chen Gang2, Li Xiaopeng2 |
1. School of Electrical Engineering Southwest Jiaotong University Chengdu 611756 China;
2. Electric Power Research Institute of State Grid Sichuan Electric Power Company Chengdu 610041 China |
|
|
|
Abstract With the increasing investment of electric trains in electrified railways, the wide-band oscillation phenomenon frequently occurs in the electric train-traction power supply network (train-network) system. The use of impedance measurement technology to accurately obtain the wide-band impedance characteristics of the traction power supply network and electric train has become an important way to reveal the wide-band oscillation problem of the electrified railway train-network system. However, the utilization of impedance measurement information is mainly focused on the stability analysis of single train system, lacking the wide-band stability analysis of multiple train system that consider the impedance of traction lines between difference trains. Moreover, existing analyses often focus on a single stability issue, only analyzing impedance measurement information in a specific frequency band, and have not fully applied the entire wide-band impedance information of train and network. Therefore, this paper presents a stability analysis method for the multiple train-network system based on impedance measurement information, which can conduct a unified analysis of typical wide-band oscillation problems in train-network system.
Firstly, an active measurement method for the dq-frame impedance matrix of traction power supply network nodes and train is provided, which is used to obtain the impedance information of train and network required for stability analysis. Secondly, considering the impedance of traction lines between different trains, a multiple train-network system model based on multi-nodes is established and its impedance transfer function matrix is derived, which can be equivalent to a multi-input multi-output (MIMO) negative feedback system. The stability of multi-train system is evaluated by the determinant of impedance return-difference matrix of the train and network system, and the oscillation frequency of system can be obtained by identifying its right half plane (RHP) zero, extremely simplifying the analysis process of the multiple train-network system. The proposed method is used to analyze three typical oscillation problems: low-frequency oscillation, harmonic resonance and harmonic instability in electrified railway, and compared with the cascaded system analysis method based on a single node. The results indicate that ignoring the impedance of the traction line may lead to incorrect analysis results. Finally, the analysis method is simulated and verified based on Matlab/Simulink. The simulation results of the multiple train-network system under different conditions are basically consistent with the stability analysis results, which proves the effectiveness of the proposed method.
The following conclusions can be drawn from the simulation analysis: (1) The three types of stability problems of electrified railways can be unified in the frequency domain by utilizing the measured train and network wide-band impedance information, which compensates for the shortcomings of only analyzing single oscillation problems. (2) The stability analysis process is simple, and the oscillation frequency of system can be directly identified by finding the RHP zero point of the determinant of impedance return-difference matrix, avoiding the tedious process of verifying the Nyquist curve for each eigenvalue. (3) Compared to stability analysis methods based on theoretical modeling, the proposed method only requires impedance measurement data and can predict the stability of multiple train-network system, without the need to master detailed parameters of the network and train.
|
|
Received: 09 August 2023
|
|
|
|
|
|
[1] 陶海东, 胡海涛, 姜晓锋, 等. 牵引供电低频网压振荡影响规律研究[J]. 电网技术, 2016, 40(6): 1830-1838.
Tao Haidong, Hu Haitao, Jiang Xiaofeng, et al.Research on low frequency voltage oscillation in traction power supply system and its affecting factors[J]. Power System Technology, 2016, 40(6): 1830-1838.
[2] 陶海东, 胡海涛, 朱晓娟, 等. 车网耦合下的牵引供电系统谐振不稳定机理分析[J]. 中国电机工程学报, 2019, 39(8): 2315-2324, 14.
Tao Haidong, Hu Haitao, Zhu Xiaojuan, et al.Mechanism on resonance instability of traction power supply system considering interaction between trains and networks[J]. Proceedings of the CSEE, 2019, 39(8): 2315-2324, 14.
[3] Zhou Yi, Hu Haitao, Yang Xiaowei, et al.Low frequency oscillation traceability and suppression in railway electrification systems[J]. IEEE Transactions on Industry Applications, 2019, 55(6): 7699-7711.
[4] 刘秋降, 吴命利, 张俊骐, 等. 基于分层控制策略的牵引供电系统谐波阻抗测试装置[J]. 电工技术学报, 2018, 33(13): 3098-3108.
Liu Qiujiang, Wu Mingli, Zhang Junqi, et al.Harmonic impedance measuring apparatus of traction power supply system based on hierarchical control strategy[J]. Transactions of China Electrotechnical Society, 2018, 33(13): 3098-3108.
[5] Liu Qiujiang, Wu Mingli, Li Jing, et al.Frequency-scanning harmonic generator for (inter)harmonic impedance tests and its implementation in actual 2×25kV railway systems[J]. IEEE Transactions on Industrial Electronics, 2021, 68(6): 4801-4811.
[6] Pan Pengyu, Hu Haitao, Yang Xiaowei, et al.Impedance measurement of traction network and electric train for stability analysis in high-speed railways[J]. IEEE Transactions on Power Electronics, 2018, 33(12): 10086-10100.
[7] Hu Haitao, Pan Pengyu, Song Yitong, et al.A novel controlled frequency band impedance measurement approach for single-phase railway traction power system[J]. IEEE Transactions on Industrial Electronics, 2020, 67(1): 244-253.
[8] Pan Pengyu, Hu Haitao, Xiao Donghua, et al.An improved controlled-frequency-band impedance mea-surement scheme for railway traction power system[J]. IEEE Transactions on Industrial Electronics, 2021, 68(3): 2184-2195.
[9] 肖冬华, 胡海涛, 潘鹏宇, 等. 高速列车dq阻抗测量方法及其装置设计[J]. 中国电机工程学报, 2020, 40(22): 7230-7240.
Xiao Donghua, Hu Haitao, Pan Pengyu, et al.dq impedance measurement method and its device design of high-speed train[J]. Proceedings of the CSEE, 2020, 40(22): 7230-7240.
[10] 刘方平, 葛兴来, 余思儒, 等. 一种高速列车-牵引网阻抗测量方法及其稳定性分析[J]. 电力自动化设备, 2020, 40(8): 154-159, 178, 160-161.
Liu Fangping, Ge Xinglai, Yu Siru, et al. Impedance measurement method and stability analysis of high-speed train-traction network[J]. Electric Power Automation Equipment, 2020, 40(8): 154-159, 178, 160-161.
[11] 潘鹏宇, 胡海涛, 肖冬华, 等. 高速列车变流器“扫频式”dq阻抗测量中的频率耦合干扰机理及抑制策略[J]. 电工技术学报, 2022, 37(4): 990-999, 1009.
Pan Pengyu, Hu Haitao, Xiao Donghua, et al.Frequency coupling interference mechanism and suppression strategy for frequency-sweeping-based dq impedance measurement of high-speed train converter[J]. Transactions of China Electrotechnical Society, 2022, 37(4): 990-999, 1009.
[12] 廖一橙. 高速铁路多车并联系统低频稳定性研究[D]. 成都: 西南交通大学, 2018.
Liao Yicheng.Research on low-frequency stability of high-speed railway system with multiple vehicles paralleled multi-vehicle parallel[D]. Chengdu: South-west Jiaotong University, 2018.
[13] Hu Haitao, Tao Haidong, Wang Xiongfei, et al.Train-network interactions and stability evaluation in high-speed railways—part II: influential factors and verifications[J]. IEEE Transactions on Power Electronics, 2018, 33(6): 4643-4659.
[14] 刘诗慧. 基于阻抗分析的电气化铁路车-网-车耦合作用及系统稳定性研究[D]. 北京: 北京交通大学, 2020.
Liu Shihui.Research on coupling effect and system stability of train-network-train in electrified railway based on impedance analysis[D]. Beijing: Beijing Jiaotong University, 2020.
[15] Tao Haidong, Hu Haitao, Wang Xiongfei, et al.Impedance-based harmonic instability assessment in a multiple electric trains and traction network interaction system[J]. IEEE Transactions on Industry Applications, 2018, 54(5): 5083-5096.
[16] Hu Haitao, Zhou Yi, Li Xin, et al.Low-frequency oscillation in electric railway depot: a comprehensive review[J]. IEEE Transactions on Power Electronics, 2021, 36(1): 295-314.
[17] 胡海涛. 高速铁路牵引供电系统谐波传输及谐振规律研究[D]. 成都: 西南交通大学, 2014.
Hu Haitao.Harmonic propagation and resonance analysis for traction power supply system of high-speed railway[D]. Chengdu: Southwest Jiaotong University, 2014.
[18] 孟昭斐. 含多类型变流器的高速铁路“车—网”耦合供电系统稳定性分析[D]. 成都: 西南交通大学, 2022.
Meng Zhaofei.Stability analysis of “vehicle-network” coupled power supply system of high-speed railway with multiple types of converters[D]. Chengdu: Southwest Jiaotong University, 2022.
[19] 涂春鸣, 邹凯星, 高家元, 等. 基于不对称正负反馈效应的PQ功率控制并网逆变器稳定性分析[J]. 电工技术学报, 2023, 38(2): 496-509.
Tu Chunming, Zou Kaixing, Gao Jiayuan, et al.Stability analysis of grid-connected inverter under PQ power control based on asymmetric positive-negative-feedback effects[J]. Transactions of China Electro-technical Society, 2023, 38(2): 496-509.
[20] 王晴, 刘增, 韩鹏程, 等. 基于变流器输出阻抗的直流微电网下垂并联系统振荡机理与稳定边界分析[J]. 电工技术学报, 2023, 38(8): 2148-2161.
Wang Qing, Liu Zeng, Han Pengcheng, et al.Analysis of oscillation mechanism and stability boundary of droop-controlled parallel converters based on output impedances of individual converters in DC micro-grids[J]. Transactions of China Electrotechnical Society, 2023, 38(8): 2148-2161.
[21] Cao Wenchao, Ma Yiwei, Yang Liu, et al.D-Q impedance based stability analysis and parameter design of three-phase inverter-based AC power systems[J]. IEEE Transactions on Industrial Electronics, 2017, 64(7): 6017-6028.
[22] Zhang Haitao, Mehrabankhomartash M, Saeedifard M, et al.Stability analysis of a grid-tied interlinking converter system with the hybrid AC/DC admittance model and determinant-based GNC[J]. IEEE Transactions on Power Delivery, 2022, 37(2): 798-812.
[23] Jiang Shan, Zhu Ye, Konstantinou G.Settling angle-based stability criterion for power-electronics-dominated power systems[J]. IEEE Transactions on Power Electronics, 2023, 38(3): 2972-2984.
[24] Fan Lingling, Miao Zhixin.Admittance-based stability analysis: Bode plots, nyquist diagrams or eigenvalue analysis?[J]. IEEE Transactions on Power Systems, 2020, 35(4): 3312-3315.
[25] Liao Yicheng, Wang Xiongfei.Impedance-based stability analysis for interconnected converter systems with open-loop RHP poles[J]. IEEE Transactions on Power Electronics, 2020, 35(4): 4388-4397.
[26] 李杨, 帅智康, 方俊彬, 等. 基于阻抗测量的多逆变器系统稳定性校验方法[J]. 电力系统自动化, 2021, 45(11): 95-101.
Li Yang, Shuai Zhikang, Fang Junbin, et al.Stability check method for multi-inverter system based on impedance measurement[J]. Automation of Electric Power Systems, 2021, 45(11): 95-101.
[27] 洪芦诚, 徐佳裕, 唐润悦, 等. 三相LCL型逆变器序阻抗简化建模方法及并网稳定性分析[J]. 电力系统自动化, 2023, 47(7): 150-157.
Hong Lucheng, Xu Jiayu, Tang Runyue, et al.Simplified modeling method of sequence impedance and grid-connected stability analysis for three-phase LCL inverter[J]. Automation of Electric Power Systems, 2023, 47(7): 150-157.
[28] 徐少博, 徐永海, 陶顺, 等. 计及边带分量频率耦合的电压源型换流器输入导纳建模[J]. 电工技术学报, 2023, 38(11): 2883-2893.
Xu Shaobo, Xu Yonghai, Tao Shun, et al.Voltage source converter input admittance model considering frequency coupling of sideband components[J]. Transactions of China Electrotechnical Society, 2023, 38(11): 2883-2893.
[29] 韩应生, 孙海顺, 秦世耀, 等. 电压源型双馈风电并网系统小扰动低频稳定性分析[J]. 电工技术学报, 2023, 38(5): 1312-1324, 1374.
Han Yingsheng, Sun Haishun, Qin Shiyao, et al.Low-frequency stability analysis of voltage-sourced doubly-fed wind power grid-connected system under small disturbance[J]. Transactions of China Electro-technical Society, 2023, 38(5): 1312-1324, 1374. |
|
|
|
2024, Vol. 39 
