Influence of Dynamic and Static Forces on Vibration of Reactor Core
Yan Rongge1,2, Cheng Yunfei1,2
1. State Key Laboratory of Reliability and Intelligence of Electrical Equipment Hebei University of Technology Tianjin 300130 China; 2. Hebei Provincial Key Laboratory of Electromagnetic Field and Electrical Appliance Reliability Hebei University of Technology Tianjin 300130 China
Abstract：In actual operation, the shunt reactor core with air gap structure is not only subjected to the static compression force exerted by the screw and the clamp, but also to the dynamic force of the magnetostrictive force and the Maxwell force between the core discs. It affects the magnetic properties of the iron core, which in turn affects the vibration characteristics of the reactor. The current research mainly focuses on the influence of static compression force on the magnetic properties of silicon steel sheets and the vibration characteristics of the reactor. The research on the influence of dynamic force has yet to be reported, let alone the influence of joint action. Considering the influence of the dynamic and static forces on the magnetic properties of the silicon steel sheets, its influence on the electromagnetic vibration of the reactor core is further analyzed. Firstly, a measurement platform for the magnetic properties of silicon steel sheets was built, and the magnetization and magnetostrictive properties under the combined action of dynamic and static forces were measured. When only considering the influence of static pressing force, the magnetic permeability decreases, and the magnetostrictive effect weakens. When considering the combined influence of dynamic and static forces, the magnetic permeability increases, and the magnetostrictive effect is further weakened. Secondly, the electromagnetic field-mechanical two-way coupling model of the reactor is established. Considering the influence of dynamic and static forces, the energy function of the reactor system is established, and the terms in the energy function are expanded according to the rectangular coordinate system. The three-dimensional axisymmetric field is discretized using tetrahedral elements. The functional variational problem is transformed into a multivariate function extremum problem, and the partial derivatives of the energy function to the magnetic vector potential component and the displacement vector component at each node are all zero. In the calculation process, the corresponding magnetic characteristic curve is selected at each time step, and the electromagnetic vibration calculation is performed on the established iron core model. When considering the influence of the dynamic and static forces on the magnetic properties of the silicon steel sheet, the magnetic characteristic curve of the silicon steel sheet is updated and recalculated according to different actual working conditions. The model converges when the calculation result of the two iterations is less than the set error. The Maxwell force is the main factor for the vibration of the shunt reactor. Therefore, when the influence of the dynamic and static forces on the magnetic properties of the silicon steel sheet is considered, the changing magnetic properties affect the calculation of the Maxwell force, which further affects the calculation results of the electromagnetic vibration of the reactor core. Finally, an experimental platform for vibration measurement is built to measure the vibration of the reactor core under different pressing forces. The results show that the calculation accuracy is higher when the combined effect of dynamic and static forces is considered, which verifies the rationality and accuracy of the modeling.
闫荣格, 程云飞. 动静态力共同作用对电抗器铁心振动影响[J]. 电工技术学报, 2023, 38(4): 1104-1114.
Yan Rongge, Cheng Yunfei. Influence of Dynamic and Static Forces on Vibration of Reactor Core. Transactions of China Electrotechnical Society, 2023, 38(4): 1104-1114.
[1] 郑涛, 赵彦杰. 超/特高压可控并联电抗器关键技术综述[J]. 电力系统自动化, 2014, 38(7): 127-135. Zheng Tao, Zhao Yanjie.Overview of key techniques of EHV/UHV controllable shunt reactor[J]. Auto-mation of Electric Power Systems, 2014, 38(7): 127-135. [2] 张鹏宁, 李琳, 程志光, 等. 并联电抗器与变压器模型铁心振动仿真与试验对比[J]. 电工技术学报, 2018, 33(22): 5273-5281. Zhang Pengning, Li Lin, Cheng Zhiguang, et al.Vibration simulation and experiment comparison of shunt reactor and transformer model core[J]. Transa-ctions of China Electrotechnical Society, 2018, 33(22): 5273-5281. [3] 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. [4] 伍文科, 杜林林, 秦敬伟, 等. 干式铁芯电抗器设备振动控制措施研究[J]. 噪声与振动控制, 2022, 42(2): 214-218, 246. Wu Wenke, Du Linlin, Qin Jingwei, et al.Research on vibration control measures of dry-type reactor equipment[J]. Noise and Vibration Control, 2022, 42(2): 214-218, 246. [5] Zhang Pengning, Li Lin, Cheng Zhiguang, et al.Study on vibration of iron core of transformer and reactor based on maxwell stress and anisotropic mag-netostriction[J]. IEEE Transactions on Magnetics, 2019, 55(2): 1-5. [6] 赵小军, 王瑞, 杜振斌, 等. 交直流混合激励下取向硅钢片磁滞及损耗特性模拟方法[J]. 电工技术学报, 2021, 36(13): 2791-2800. Zhao Xiaojun, Wang Rui, Du Zhenbin, et al.Hysteretic and loss modeling of grain oriented silicon steel lamination under AC-DC hybrid magneti-zation[J]. Transactions of China Electrotechnical Society, 2021, 36(13): 2791-2800. [7] 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. [8] 张长庚, 田亚坤, 李永建, 等. 谐波及直流偏磁下变压器叠片式磁屏蔽杂散损耗模拟与验证[J]. 电工技术学报, 2022, 37(15): 3733-3742. Zhang Changgeng, Tian Yakun, Li Yongjian, et al.Modeling and validation of stray-field loss in laminated magnetic shield of transformer under harmonics and DC bias[J]. Transactions of China Electrotechnical Society, 2022, 37(15): 3733-3742. [9] 高树国, 汲胜昌, 孟令明, 等. 基于在线监测系统与声振特征预测模型的高压并联电抗器运行状态评估方法[J]. 电工技术学报, 2022, 37(9): 2179-2189. Gao Shuguo, Ji Shengchang, Meng Lingming, et al.Operation state evaluation method of high-voltage shunt reactor based on on-line monitoring system and vibro-acoustic characteristic prediction model[J]. Transactions of China Electrotechnical Society, 2022, 37(9): 2179-2189. [10] Dou Yu, Li Yongjian, Zhang Changgeng, et al.Effects of uniaxial stress along different directions on alternating magnetic properties of silicon steel sheets[J]. IEEE Transactions on Magnetics, 2020, 56(3): 1-4. [11] Ding Xiaofeng, Ren Suping, Xiong Yanwen, et al.2-D magnetic properties measurement system for electrical steel sheets considering laminated direction mechanical stress[J]. IEEE Transactions on Magnetics, 2017, 53(10): 1-11. [12] Ben Tong, Yang Qingxin, Yan Rongge, et al.Mag-netically controlled saturable reactor core vibration under practical working conditions[J]. IEEE Transa-ctions on Magnetics, 2017, 53(6): 1-4. [13] 闫荣格, 郜玉香, 贲彤, 等. 考虑实际工况下串联铁心电抗器的振动研究[J]. 电气传动, 2019, 49(1): 78-82. Yan Rongge, Gao Yuxiang, Ben Tong, et al.Research on vibration of series iron-core reactors under the practical working conditions[J]. Electric Drive, 2019, 49(1): 78-82. [14] 闫荣格, 谷浩伟, 张晓杰, 等. 拉紧螺杆对并联电抗器的振动影响分析[J]. 电工电能新技术, 2021, 40(3): 39-45. Yan Rongge, Gu Haowei, Zhang Xiaojie, et al.Analysis of vibration effect of tightening screw on shunt reactor[J]. Advanced Technology of Electrical Engineering and Energy, 2021, 40(3): 39-45. [15] 张会燕, 王昱皓, 张俊杰, 等. 压应力对硅钢片磁特性的影响研究[J]. 河北工业大学学报, 2021, 50(4): 10-16. Zhang Huiyan, Wang Yuhao, Zhang Junjie, et al.Study on the effect of compressive stress on magnetic properties of silicon steel sheets[J]. Journal of Hebei University of Technology, 2021, 50(4): 10-16. [16] 祝丽花, 石永恒, 杨庆新. 夹紧力对非晶合金磁特性及铁芯振动的影响研究[J]. 中国电机工程学报, 2020, 40(24): 8155-8164, 8252. Zhu Lihua, Shi Yongheng, Yang Qingxin.Effect of clamping force on magnetic properties and core vibration of amorphous alloys[J]. Proceedings of the CSEE, 2020, 40(24): 8155-8164, 8252. [17] 常晨, 刘兰荣, 卢美林, 等. 并联电抗器等效模型的振动噪声特性试验研究[J]. 电气技术, 2019, 20(2): 37-41, 47. Chang Chen, Liu Lanrong, Lu Meilin, et al.Investi-gates the characteristics of vibration and noisebased on the equivalent model to shunt reactor[J]. Electrical Engineering, 2019, 20(2): 37-41, 47.
2023, Vol. 38 
