考虑次同步分量下时间周期问题的三维定点有限元法及变压器电磁特性分析

doi:10.19595/j.cnki.1000-6753.tces.211496

Abstract
Figure/Table
References
Related Citation (15)

Download: PDF (3089 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract The injection of subsynchronous frequency components causes periodic asymmetric bias of the transformer core. Taking the 3D magnetic vector potential A and the winding current I as the unknown variables, combining the fixed-point method and the field-circuit coupled relationship, a 3D time-periodic finite element model for calculating the magnetic field of the transformer core was established to study the steady-state magnetic properties of transformer core with subsynchronous frequency components. In the pre-processing, the current density direction vector was established for each element in the winding area. During the iteration, it is necessary to select a suitable local convergence fixed-point magnetoresistance for the non-linear anisotropic core region. The steady-state current calculated by the 2D time-periodic finite element method is used as the initial value of the 3D field-circuit coupled calculation to reduce the total iteration time. The calculation and experimental results were used to verify the effectiveness of the algorithm, and the effects of different amplitudes, frequencies, phase sequences and subsynchronous frequency components of three-phase distribution on the electromagnetic characteristics of transformer were analyzed.

Key words： Subsynchronous frequency component asymmetric bias 3D time-periodic finite element method field-circuit coupled fixed-point method

Received: 23 September 2021

PACS:

TM41

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors

Cite this article:

URL:

https://dgjsxb.ces-transaction.com/EN/10.19595/j.cnki.1000-6753.tces.211496 OR https://dgjsxb.ces-transaction.com/EN/Y2022/V37/I14/3475

[1] Langella R, Testa A, Emanuel A E.On the effects of subsynchronous interharmonic voltages on power transformers: single phase units[J]. IEEE Transa-ctions on Power Delivery, 2008, 23(4): 2480-2487.
[2] Langella R, Testa A, Emanuel A E.On the effects of subsynchronous interharmonic voltages on power transformers: three phase units[J]. IEEE Transactions on Power Delivery, 2008, 23(4): 2461-2471.
[3] 孙佳安, 李琳. 含次同步分量下变压器时间周期有限元的Parareal求解模型[J]. 中国电机工程学报, 2020, 40(13): 4348-4358.
Sun Jiaan, Li Lin.Time-periodic FEM using Parareal for transformer electromagnetic characteristics analysis with sub-synchronous components[J]. Proceedings of the CSEE, 2020, 40(13): 4348-4358.
[4] 王帅兵, 李琳, 赵小军, 等. 定点时间周期有限元法及其在变压器直流偏磁特性分析中的应用[J]. 中国电机工程学报, 2017, 37(17): 5198-5205.
Wang Shuaibing, Li Lin, Zhao Xiaojun, et al.Fixed-point time-periodic finite element method and its application for DC bias characteristics of trans-former[J]. Proceedings of the CSEE, 2017, 37(17): 5198-5205.
[5] 赵小军, 曹越芝, 刘兰荣, 等. 交直流混合激励下变压器用叠片式磁构件杂散损耗问题的数值模拟及实验验证[J]. 电工技术学报, 2021, 36(1): 141-150.
Zhao Xiaojun, Cao Yuezhi, Liu Lanrong, et al.Numerical simulation and experimental verification of stray loss of laminated magnetic components for transformers under AC-DC hybrid excitation[J]. Transactions of China Electrotechnical Society, 2021, 36(1): 141-150.
[6] Hock-chuan T, Glenn W S. On the problem of trans-former overheating due to geomagnetically induced currents[J]. IEEE Transactions on Power Apparatus and Systems, 1985, 104(1): 212-219.
[7] Ding Dengwei, Zhao Dongbo, Zhang Xinhai, et al.Investigation of vibration impacts on HVAC trans-former from HVDC system under monopole oper-ation[J]. IEEE Transactions on Dielectrics and Elec-trical Insulation, 2016, 23(3): 1386-1392.
[8] 李冰, 王泽忠, 刘海波, 等. 直流偏磁下500kV单相变压器振动噪声的试验研究[J]. 电工技术学报, 2021, 36(13): 2801-2811.
Li Bing, Wang Zezhong, Liu Haibo, et al.Experiment on vibro-acoustic characteristic of 500kV single-phase transformer under DC-bias[J]. Transactions of China Electrotechnical Society, 2021, 36(13): 2801-2811.
[9] 王革鹏, 金文德, 曾向阳, 等. 特高压并联电抗器铁心振动的分析与控制研究[J]. 电工技术学报, 2022, 37(9): 2190-2198.
Wang Gepeng, Jin Wende, Zeng Xiangyang, et al.Analysis and control research on core vibration of UHV shunt reactor[J]. Transactions of China Electro-technical Society, 2022, 37(9): 2190-2198.
[10] 高璐, 徐策, 董光冬, 等. 基于电磁仿真软件的平面变压器共模电磁干扰建模方法及其应用[J]. 电工技术学报, 2020, 35(24): 5057-5063.
Gao Lu, Xu Ce, Dong Guangdong, et al.Common mode electro-magnetic interference modeling method of planar transformers based on CST software and its application[J]. Transactions of China Electrotechnical Society, 2020, 35(24): 5057-5063.
[11] Li Yang, Zhu Lihua, Zhu Jianguo.Calculation of core losses under DC bias and harmonics based on Jiles-Atherton dynamic hysteresis model combined with finite element analysis[C]//IEEE 2017 20th Inter-national Conference on Electrical Machines and Systems (ICEMS), Sydney, Australia, 2017: 1-5.
[12] 赵小军, 杜雨彤, 刘洋, 等. 应用磁-机械耦合场频域解法的铁芯直流偏磁振动特性分析[J]. 高电压技术, 2020, 46(4): 1216-1225.
Zhao Xiaojun, Du Yutong, Liu Yang, et al.Vibration characteristics analysis of iron core under DC-biased condition by solving coupled magneto-mechanical field in frequency-domain[J]. High Voltage Engineering, 2020, 46(4): 1216-1225.
[13] 罗超. 次同步振荡动态抑制器控制策略与工程应用研究[D]. 北京: 华北电力大学, 2017.
[14] 曹建春, 项祖涛, 武丹, 等. 风电次同步谐振对主变偏磁的影响机理[J]. 电网技术, 2019, 43(6): 2080-2086.
Cao Jianchun, Xiang Zutao, Wu Dan, et al.Influence mechanism of wind farm subsynchronous resonance on magnetic bias of transformer[J]. Power System Technology, 2019, 43(6): 2080-2086.
[15] 高本锋, 王飞跃, 于弘洋, 等. 应用静止同步串联补偿器抑制风电次同步振荡的方法[J]. 电工技术学报, 2020, 35(6): 1346-1356.
Gao Benfeng, Wang Feiyue, Yu Hongyang, et al.The suppression method of wind power sub-synchronous oscillation using static synchronous series com-pensator[J]. Transactions of China Electrotechnical Society, 2020, 35(6): 1346-1356.
[16] Putman T H, Ramey D G.Theory of the modulated reactance solution for subsynchronous resonance[J]. IEEE Transactions on Power Apparatus and System, 1982, 101(6): 1527-1535.
[17] 张佃青, 詹雄, 李芳灵, 等. SSSC型电网次同步振荡抑制器控制系统设计[J]. 电力电子技术, 2020, 54(8): 96-100.
Zhang Dianqing, Zhan Xiong, Li Fangling, et al.Design of control system for power grid sub-synchronous oscillator suppressor of SSSC type[J]. Power Electronics, 2020, 54(8): 96-100.
[18] 董晓亮, 田旭, 张勇, 等. 沽源风电场串补输电系统次同步谐振典型事件及影响因素分析[J]. 高电压技术, 2017, 43(1): 321-328.
Dong Xiaoliang, Tian Xu, Zhang Yong, et al.Practical SSR incidence and influencing factor analysis of DFIG-based series-compensated transmission system in Guyuan farms[J]. High Voltage Engineering, 2017, 43(1): 321-328.
[19] 郑彬, 印永华, 班连庚, 等. 新疆与西北主网联网第二通道工程系统调试[J]. 电网技术, 2014, 38(4): 980-986.
Zheng Bin, Yin Yonghua, Ban Liangeng, et al.System commissioning for the second transmission channel project interconnecting Xinjiang grid with northwest China main grid[J]. Power System Tech-nology, 2014, 38(4): 980-986.
[20] 高本锋, 肖湘宁, 赵成勇, 等. 混合串联补偿装置抑制次同步谐振的研究[J]. 电工技术学报, 2010, 25(11): 142-147.
Gao Benfeng, Xiao Xiangning, Zhao Chengyong, et al.Study of hybrid series compensator on sub-synchronous resonance damping[J]. Transactions of China Electrotechnical Society, 2010, 25(11): 142-147.
[21] Tria L A R, Zhang Daming, Fletcher J E. Planar PCB transformer model for circuit simulation[J]. IEEE Transactions on Magnetics, 2016, 52(7): 1-4.
[22] 赵小军, 李琳, 程志光, 等. 定点谐波平衡有限元法与叠片铁心直流偏磁磁化特性研究[J]. 中国电机工程学报, 2011, 31(9): 126-132.
Zhao Xiaojun, Li Lin, Cheng Zhiguang, et al.Fixed-point harmonic-balanced finite element method and DC-biasing magnetizing characteristics of laminated core[J]. Proceedings of the CSEE, 2011, 31(9): 126-132.
[23] 赵小军, 李琳, 程志光, 等. 应用谐波平衡有限元法的变压器直流偏磁现象分析[J]. 中国电机工程学报, 2010, 30(21): 103-108.
Zhao Xiaojun, Li Lin, Cheng Zhiguang, et al.Analysis of the DC bias phenomenon in transformers based on harmonic-balanced finite element method[J]. Proceedings of the CSEE, 2010, 30(21): 103-108.
[24] 王泽忠, 潘超, 周盛, 等. 基于棱边有限元的变压器场路耦合瞬态模型[J]. 电工技术学报, 2012, 27(9): 146-152.
Wang Zezhong, Pan Chao, Zhou Sheng, et al.Transient magnetic-circuit coupled model of trans-former based on edge finite element method[J]. Transactions of China Electrotechnical Society, 2012, 27(9): 146-152.
[25] Shilyashki G, Pfützner H, Palkovits M, et al.A tangential induction sensor for 3-D analyses of peripheral flux distributions in transformer cores[J]. IEEE Transactions on Magnetics, 2015, 51(6): 1-6.
[26] 潘超, 王泽忠, 李海龙, 等. 基于瞬态场路耦合模型的变压器直流偏磁计算[J]. 电工技术学报, 2013, 28(5): 174-181.
Pan Chao, Wang Zezhong, Li Hailong, et al.DC-bias calculation for single phase transformers based on transient field-circuit coupled model[J]. Transactions of China Electrotechnical Society, 2013, 28(5): 174-181.
[27] 康雅华, 白保东, 郭源成. 场路耦合方法在大型电力变压器三维瞬态有限元分析中的应用[J]. 电工技术学报, 2014, 29(9): 219-224.
Kang Yahua, Bai Baodong, Guo Yuancheng.Appli-cation of field-circuit coupling method of 3D transient finite element analysis for large power trans-formers[J]. Transactions of China Electrotechnical Society, 2014, 29(9): 219-224.
[28] Biro O, Preis K.On the use of the magnetic vector potential in the finite-element analysis of three-dimensional eddy currents[J]. IEEE Transactions on Magnetics, 1989, 25(4): 3145-3159.
[29] Mathekga M E, Mcmahon R A, Knight A M.Appli-cation of the fixed point method for solution in time stepping finite element analysis using the inverse vector Jiles-Atherton model[J]. IEEE Transactions on Magnetics, 2011, 47(10): 3048-3051.
[30] Saitz J.Newton-raphson method and fixed-point tech-nique in finite element computation of magnetic field problems in media with hysteresis[J]. IEEE Transa-ctions on Magnetics, 1999, 35(3): 1398-1401.
[31] Li Wei, Koh C S.Investigation of the vector Jiles-Atherton model and the fixed point method combined technique for time-periodic magnetic problems[J]. IEEE Transactions on Magnetics, 2014, 51(4): 7402906.
[32] Dlala E, Arkkio A.Analysis of the convergence of the fixed-point method used for solving nonlinear rota-tional magnetic field problems[J]. IEEE Transactions on Magnetics, 2008, 44(4): 473-478.
[33] Zhou Ping, Lin Dingsheng, Lu Chuan, et al.An adaptive fixed-point iteration algorithm for finite-element analysis with magnetic hysteresis materials[J]. IEEE Transactions on Magnetics, 2017, 53(10): 7300705.
[34] 谢德馨, 朱占新, 吴东阳, 等. 大规模工程涡流场有限元计算的困境与展望[J]. 中国电机工程学报, 2015, 35(5): 1250-1257.
Xie Dexin, Zhu Zhanxin, Wu Dongyang, et al.Plight and perspective of large-scale engineering eddy current field FEM computation[J]. Proceedings of the CSEE, 2015, 35(5): 1250-1257.
[35] 潘超. 基于时域场路耦合有限元的变压器直流偏磁电磁特性研究[D]. 北京: 华北电力大学, 2013.
[36] 李琳. 具有变压器功能的并联铁心电抗器特性分析与结构设计[J]. 华北电力大学学报, 2009, 36(2): 1-5.
Li Lin.Analysis and design of a shunt reactor with transformer function[J]. Journal of North China Elec-tric Power University, 2009, 36(2): 1-5.
[37] 曹建春. 抑制双馈风电场次同步谐振的STATCOM研究[D]. 北京: 中国电力科学研究院, 2018.
[38] 陈垣, 张波, 谢帆, 等. 电力电子化电力系统多时间尺度建模与算法相关性研究进展[J]. 电力系统自动化, 2021, 45(15): 172-183.
Chen Yuan, Zhang Bo, Xie Fan, et al.Research progress of interrelationship between multi-time-scale modeling and algorithm of power-electronized power system[J]. Automation of Electric Power Systems, 2021, 45(15): 172-183.
[39] Rai D.Damping subsynchronous resonance using static synchronous series compensators and static synchronous compasators[D]. Canada: University of Saskatchewan, 2008.