Stability Criterion of Subsynchronous Oscillation of Direct Drive Permanent Magnet Synchronous Generator Based on Impedance Polynomial Fitting

doi:10.12096/j.2096-4528.pgt.19140

Abstract

Abstract:

Impedance analysis is the leading method of solving the stability issues of grid-connected renewable energy generation systems. Taking the grid-connected system of direct drive permanent magnet synchronous generator (D-PMSG) as an example, the characteristics and application scope of the existing Nyquist stability criterion were analyzed. In order to make up for the deficiency of the existing impedance stability criterion, a quantitative stability criterion based on the fitting of fractional polynomial function of impedance characteristic was proposed, which applied port impedance characteristics of wind turbine derived or measured by equivalent fitting theory of fractional polynomial function. Within the fitting frequency band, the fractional polynomial was equivalent to original impedance characteristic. The oscillation frequency and the damping level of the given system were calculated by finding the zero point of fitting polynomial, which could analyze quantitatively the stability characteristics of the system. Finally, the correctness and effectiveness of the fractional polynomial fitting criterion were verified by theoretical analysis and time domain simulation.

Key words: direct drive permanent magnet synchronous generator (D-PMSG), sequence impedance characteristic, polynomial fitting, sub/super-synchronous oscillation, stability criterion

CLC Number:

TM315
TM712

Yongjun YU,Lichao WANG,Mingyuan ZHANG,Shiwu XIAO,Xinyuan ZHANG. Stability Criterion of Subsynchronous Oscillation of Direct Drive Permanent Magnet Synchronous Generator Based on Impedance Polynomial Fitting[J]. Power Generation Technology, 2020, 41(4): 429-436.

References

1	田军, 张闻一, 王玉鹏, 等. 风电并网系统次同步振荡建模与分析[J]. 分布式能源, 2018, 3 (5): 22- 27.
1	Tian J , Zhang W Y , Wang Y P , et al. Modeling and analysis of sub-synchronous oscillation in wind power grid connection system[J] Distributed Energy, 2018, 3 (5): 22- 27.
2	方力, 潘学萍, 鞠平. SVC对双馈风电场次同步振荡影响及抑制策略[J]. 广东电力, 2019, 32 (3): 52- 58.
2	Fang L , Pan X P , Ju P . Impact of SVC on sub-synchronous oscillation of DFIG-based wind farms and suppression strategy[J] Guangdong Electric Power, 2019, 32 (3): 52- 58.
3	袁华, 陈景召. 联合模糊聚类和多样本SSO优化SVR的配电通信网络流量预测[J]. 电网与清洁能源, 2018, 34 (5): 36- 43.
3	Yuan H , Chen J Z . Prediction method based on FCM and multi-sample social spider optimization SVR for distribution communication network traffic[J] Power System and Clean Energy, 2018, 34 (5): 36- 43.
4	王一珺, 杜文娟, 陈晨, 等. 基于复转矩系数法研究并网双馈风电场引发电力系统次同步振荡问题综述[J]. 发电技术, 2018, 39 (3): 195- 203.
4	Wang Y J , Du W J , Chen C , et al. A review of investigations on sub-synchronous oscillations in power systems caused by DFIG wind farms based on the complex torque coefficients method[J] Power Generation Technology, 2018, 39 (3): 195- 203.
5	于笑, 陈武晖. 风力发电并网系统次同步振荡研究[J]. 发电技术, 2018, 39 (4): 304- 312.
5	Yu X , Chen W H . Review of subsynchronous oscillation induced by wind power generation integrated system[J] Power Generation Technology, 2018, 39 (4): 304- 312.
6	邱衍江, 张新燕, 张超, 等. 新能源汇集地区广域次同步振荡监测系统研究与构建[J]. 电力系统保护与控制, 2019, 47 (1): 88- 94.
6	Qiu Y J , Zhang X Y , Zhao C , et al. Research and construction of wide-area subsynchronous oscillation monitoring system in new energy influx area[J] Power System Protection and Control, 2019, 47 (1): 88- 94.
7	董晓亮, 谢小荣, 杨煜, 等. 双馈风机串补输电系统次同步谐振影响因素及稳定区域分析[J]. 电网技术, 2015, 39 (1): 189- 193.
7	Dong X L , Xie X R , Yang Y , et al. Impacting factors and stable area analysis of subsynchronous resonance in DFIG based wind farms connected to series-compensated power system[J] Power System Technology, 2015, 39 (1): 189- 193.
8	毕天姝, 李景一. 基于聚合短路比的大型风场次同步振荡风险初筛[J]. 电力系统保护与控制, 2019, 47 (5): 52- 59.
8	Bi T S , Li J Y . Risk screening of SSO induced in large-scale wind farms based on aggregated short circuit ratio[J] Power System Protection and Control, 2019, 47 (5): 52- 59.
9	Sun J . Small-signal methods for AC distributed power systems:a review[J] IEEE Transaction on Power Electronics, 2009, 24 (11): 2545- 2554.
10	Wen B , Boroyevich D , Burgos R , et al. Small-signal stability analysis of three-phase AC systems in the presence of constant power loads based on measured d-q frame impedances[J] IEEE Transactions on Power Electronics, 2015, 30 (10): 5952- 5963.
11	Wen B , Dong D , Boroyevich D , et al. Impedance-based analysis of grid-synchronization stability for three-phase paralleled converters[J] IEEE Transactions on Power Electronics, 2015, 31 (1): 26- 38.
12	桑顺, 高宁, 蔡旭, 等. 功率-电压控制型并网逆变器及其弱电网适应性研究[J]. 中国电机工程学报, 2017, 37 (8): 2339- 2350.
12	Sang S , Gao N , Cai X , et al. A power-voltage controlled grid-connected inverter and its adaptability research under weak grid conditions[J] Proceedings of the CSEE, 2017, 37 (8): 2339- 2350.
13	刘青, 王金星. 大电网新能源系统的数学建模和功率控制策略[J]. 电力科学与工程, 2017, 33 (7): 1- 8.
13	Liu Q , Wang J X . The mathematical modeling and power control strategy of large power grid new energy system[J] Electric Power Science and Engineering, 2017, 33 (7): 1- 8.
14	张明远, 肖仕武, 田恬, 等. 基于阻抗灵敏度的直驱风电场并网次同步振荡影响因素及参数调整分析[J]. 电网技术, 2018, 42 (9): 2768- 2777.
14	Zhang M Y , Xiao S W , Tian T , et al. Analysis of SSO influencing factors and parameter adjustment for grid-connected full-converter wind farm based on impedance sensitivity[J] Power System Technology, 2018, 42 (9): 2768- 2777.
15	Cespedes M , Sun J . Impedance modeling and analysis of grid-connected voltage-source converters[J] IEEE Transactions on Power Electronics, 2013, 29 (3): 1254- 1261.
16	辛焕海, 李子恒, 董炜, 等. 三相变流器并网系统的广义阻抗及稳定判据[J]. 中国电机工程学报, 2017, 37 (5): 1277- 1292.
16	Xin H H , Li Z H , Dong W , et al. Generalized-impedance and stability criterion for grid-connected converters[J] Proceedings of the CSEE, 2017, 37 (5): 1277- 1292.
17	Sun J . Impedance-based stability criterion for grid-connected inverters[J] IEEE Transactions on Power Electronics, 2011, 26 (11): 3075- 3078.
18	刘方诚, 刘进军, 张昊东, 等. 基于G-范数和sum-范数的三相交流级联系统稳定性判据[J]. 中国电机工程学报, 2014, 34 (24): 4092- 4100.
18	Liu F C , Liu J J , Zhang H D , et al. G-norm and sum-norm based stability criterion for three-phase AC cascade systems[J] Proceedings of the CSEE, 2014, 34 (24): 4092- 4100.
19	刘华坤, 谢小荣, 何国庆, 等. 新能源发电并网系统的同步参考坐标系阻抗模型及其稳定性判别方法[J]. 中国电机工程学报, 2017, 37 (14): 4002- 4007.
19	Liu H K , Xie X R , He G Q , et al. Synchronous reference frame based impedance model and stability criterion for grid-connected renewable energy generation systems[J] Proceedings of the CSEE, 2017, 37 (14): 4002- 4007.
20	Liu H , Xie X , Zhang C , et al. Quantitative SSR analysis of series-compensated DFIG-based wind farms using aggregated RLC circuit model[J] IEEE Transactions on Power Systems, 2016, 32 (1): 474- 483.
21	Miao Z . Impedance-model-based SSR analysis for type 3 wind generator and series-compensated network[J] IEEE Transactions on Energy Conversion, 2012, 27 (4): 984- 991.
22	Liu H, Xie X, Yu L, et al.A small-signal impedance method for analyzing the SSR of series-compensated DFIG-based wind farms[C]//Power & Energy Society General Meeting.Denver, CO, USA: IEEE, 2015: 1-5.

[1]	Lei ZHANG, Jiying LI, Qinwei LI, Mince ZHANG, Yunfeng GUO, Lidong ZHANG. Status and Prospect of Yaw System Control Strategy for Wind Turbines [J]. Power Generation Technology, 2021, 42(3): 306-312.
[2]	Changxing YANG, Luping LI. Research Progress on Blade Damage Fault Detection Technology of Wind Turbine [J]. Power Generation Technology, 2020, 41(6): 599-607.
[3]	HU Yan-jun, SHI Bo. Optimization of the SCD 3.0MW High-power Double-blades Wind Turbine Generator [J]. Power Generation Technology, 2017, 38(4): 47-51.
[4]	KONG De-tong, JIA Si-yuan, WANG Tian-pin, LIU Qing-chao. Wind Turbines Fault Diagnosis Method Researched by Vibration Analysis [J]. Power Generation Technology, 2017, 38(1): 54-58.
[5]	LIU Yang-lin, YE Xiao-guang, YANG Chao, LIU Qing-chao. A Method to Verify the Wind Speed-power Curve of Wind Turbine [J]. Power Generation Technology, 2017, 38(1): 59-62.