Influence of the Error of Saturation Magnetization of Core Material on the Solution of Transformer Inrush Current
Wang Yingying1, Yuan Jiansheng2
1. School of Mechanical Electronic and Information EngineeringChina University of Mining and Technology (Beijing) Beijing 100083 China; 2. Department of Electrical Engineering Tsinghua University Beijing 100084 China
Abstract:The measured magnetizing curve usually fails to meet the requirements of inrush current simulation. Since there are no standards for measuring magnetizing curve by measurement devices, it is usually expressed approximately by a function. In this paper, the magnetizing curves are extended by quadratic and cubic functions (Akima interpolation method), where the cubic function is closer to the available measurement results. Saturation magnetization Ms is a key quantity in forming magnetizing curve in deep saturation. The influences of Ms on the magnetizing curve and the solution of transformer current were analyzed by the nonlinear transient finite element method. When Ms decreases, the magnetizing curve as well as the dynamic permeability goes down, the current hence increases under a certain voltage. When the voltage is about 1.38 times the rated voltage, the errors of the current caused by Ms are maximum. The results show that an error of 5% of Ms can cause an error of 66% of the current solution. Although it is not easy to get high accurate Ms for silicon steel sheet by measurement, its error should be managed to reduce to obtain the relatively high accuracy of the over-voltage operation simulation.
王迎迎, 袁建生. 铁心材料饱和磁化强度的偏差对求解变压器涌流的影响[J]. 电工技术学报, 2019, 34(12): 2452-2459.
Wang Yingying, Yuan Jiansheng. Influence of the Error of Saturation Magnetization of Core Material on the Solution of Transformer Inrush Current. Transactions of China Electrotechnical Society, 2019, 34(12): 2452-2459.
[1] Specification of individual materials-cold-rolled non- oriented electrical steel strip and sheet delivered in the fully-processed state[S]. IEC Standard, 60404-8-4, 1998. [2] IEC 60404-2-1996 Magnetic materials-Part 2: Methods of measurement of the magnetic properties of electrical steel sheet and strip by means of an Epstein frame[S]. 1996. [3] Otome D, Nakano M, Takahashi N.Development of measurement system of magnetic properties at high flux density using novel single-sheet tester[J]. IEEE Transactions on Magnetics, 2009, 45(10): 3889-3892. [4] Qu Qing Chang.Precise magnetic properties measurement on electrical sheet steels under deep saturation[J]. IEEE Transactions on Magnetics, 1984, 20(5): 1717-1719. [5] Hofmann M, Kahraman D, Herzog H G, et al.Numerical determination of the effective magnetic path length of a single-sheet tester[J]. IEEE Transa- ctions on Magnetics, 2014, 50(2): 7023004. [6] Cheng Z G, Takahashi N, Forghani B.Electro- magnetic and thermal field modeling and application in electrical engineering[M]. Beijing: Science Press, 2009. [7] Knight A M, Dorrell D G.Improving the torque prediction of saturated automotive drive machines by accurate representation of saturated curves[J]. IEEE Transactions on Magnetics, 2012, 48(11): 4630-4633. [8] He Xiaoqing, Liu Shuping, Li Panhong, et al.Eliminating the single-phase transformer inrush current based on pre-magnetizing[J]. Power System Protection and Control, 2014, 42(17): 120-124. [9] Yao Dongxiao, Deng Maojun, Ni Chuankun, et al.Transformer's multi-side inrush current generation mechanism and its influence on the differential pro- tection's fast action zone[J]. Power System Protection and Control, 2016, 44(5): 36-41. [10] Hurt D, Li S, Amann A.Versatile SQUID suscepto- meter with multiple measurement modes[J]. IEEE Transactions on Magnetics, 2013, 49(7): 3541-3544. [11] Li S, Hurt D, Toth M, et al.A low background magneto-optic probe for high sensitivity SQUID susceptometer[J]. IEEE Transactions on Magnetics, 2014, 50(11): 1-4. [12] Zhao Xiaojun, Li Lin, Cheng Zhiguang, et al.Analysis of magnetizing characteristic of laminated core based on the DC-biasing experiment[J]. Transa- ctions of China Electrotechnical Society, 2011, 26(1): 8-13. [13] Vakilian M, Degeneff R C.A method for modeling nonlinear core characteristics of transformers during transients[J]. IEEE Transactions on Power Delivery, 1994, 9(4): 1916-1925. [14] Rioual M, Guillot Y, Crepy C.Determination of the saturated inductance of transformers by analytical formulae, comparison with an electromagnetic field calculation approach and validation by on-site tests[C]//IEEE Power Tech Conference, Bucharest, Romania, 2009: 1-6. [15] Chi Qingguang, Zhang Yanli, Ren Yajun, et al.Improvement on rotational loss model and measure- ment of local loss in the iron core[J]. Power System Protection and Control, 2018, 33(17): 3951-3957. [16] Qiao Ji, Xu Zhiwei, Zou Jun, et al.A high-accuracy iterative method of characteristics without deutsch assumption for calculating ion-flow field of HVDC overhead lines[J]. Transactions of China Electro- technical Society, 2018, 33(19): 4419-4425. [17] Zhang Pengfei, Zou Jun, Wu Xiaogang, et al.A fast and precise method for calculating dynamic inductance of common mode chock[J]. Transactions of China Electrotechnical Society, 2018, 33(19): 4458-4466. [18] Chen Bin, Li Lin, Zhao Zhibin.Calculation of high- power high-frequency transformer's copper loss and magnetic core loss in dual-active-bridge DC-DC converter[J]. Transactions of China Electrotechnical Society, 2017, 32(22): 124-133. [19] Zhang Yanli, Peng Zhihua, Xie Dexin, et al.Effect of different magnetization curves on simulation for transformer core loss under DC bias[J]. Transactions of China Electrotechnical Society, 2014, 29(5): 43-47. [20] Chen Junquan, Wang Dong, Chen Zhihua, et al.Review of precise modeling technology of electrical soft magnetic material applied in vessel equipment[J]. Transactions of China Electrotechnical Society, 2017, 32(22): 167-175. [21] Shao Wenquan, Qiao Ni, Wang Jianbo.A novel algorithm of identifying inrush current based on waveform cross-correlation coefficient[J]. Power System Protection and Control, 2015, 43(23): 15-20.