Magnetic Core Losses Under High-Frequency Typical Non-Sinusoidal Voltage Magnetization
Chen Bin, Li Lin, Zhao Zhibin
China State Key Laboratory of Alternate Electrical Power System with Renewable Energy SourcesNorth China Electric Power University Beijing 102206 China
Abstract：Accurately predicting the core loss under non-sinusoidal voltage magnetization is essential for the optimal design of high-frequency (HF) transformers used in the bidirectional isolated DC-DC converter with dual active bridges (DABs). In this paper, the modified Steinmetz formulae and statistical loss model (STL) that relate the core loss with the magnetization frequency, peak magnetic flux density, and waveform parameters like duty cycle and rise time, are presented to determine the core loss under rectangular and trapezoidal voltage magnetization in typical of DAB DC-DC converters. The empirical parameters of Steinmetz equation and the fixed coefficients of STL are calculated by using a regression analysis and a limited set of measured loss data in sinusoidal flux for any peak magnetic flux density value. Calculated non-sinusoidal core losses for nanocrystalline, amorphous, MnZn ferrite, and 3% grain-oriented silicon steel are compared with the measurements.
[1] Kjellqvist T, Norrga S, Ostlund S.Design con- siderations for a medium frequency transformer in a line side power conversion system[C]//The 35th IEEE Annual Power Electronics Specialists Conference, Aachen, 2004: 704-710. [2] Kheraluwala M N, Gascoigne R W, Divan D M, et al.Performance characterization of a high-power dual active bridge DC-to-DC converter[J]. IEEE Transa- ctions on Industry Application, 1992, 28(6): 1294-1301. [3] Zhao Zhenghan, Wang Youhua, Ling Yuesheng, et al.Calculation and analysis of loss in high-capacity high- frequency transformers[J]. Transactions of China Electrotechnical Society, 2014, 29(5): 261-270. [4] Jovcic D.Bidirectional high-power DC transformer[J]. IEEE Transactions on Power Delivery, 2009, 24(4): 2276-2283. [5] Jürgen Reinert, Ansgar Brockmeyer, Rik W A A De Doncker. Calculation of losses in ferro- and ferromagnetic materials based on the modified Steinmetz equation[J]. IEEE Transactions on Industry, 2001, 37(4): 1055-1061. [6] Li Jieli, Abdallah T, Sullivan C R.Improved calcu- lation of core loss with nonsinusoidal waveforms[C]// Proceedings of IEEE Industry Applications Con- ference, Chicago, USA, 2001: 2203-2210. [7] Venkatachalani K, Sullivan C R, Abdallah T, et al.Accurate prediction of ferrite core loss with nonsinusoidal waveforms using only Steinmetz parameters[C]//IEEE Workshop on Computers in Power Electronics, Mayagüez, USA, 2002: 1-6. [8] Shen W.Design of high-density transformers for high frequency high power converters[D]. Virginia: Virginia Polytechnic Institute, 2006. [9] Zhang Ning, Li Lin, Wei Xiaoguang.Calculation method and experimental verification of core losses under nonsinusoidal excitation[J]. Transactions of China Electrotechnical Society, 2016, 31(17): 224-232. [10] Yang Qingxin, Li Yongjian.Characteristics and developments of advanced magnetic materials in electrical engineering: a review[J]. Transactions of China Electrotechnical Society, 2016, 31(20): 1-12. [11] Steinmetz C P.On the law of hysteresis[J]. Pro- ceedings of the IEEE, 1984, 72(2): 197-221. [12] Bertotti G.General properties of power losses in soft ferromagnetic materials[J]. IEEE Transactions on Magnetics, 1988, 24(1): 621-630. [13] Barbisio E, Fiorillo F, Ragusa C.Predicting loss in magnetic steels under arbitrary induction waveform and with minor hysteresis loops[J]. IEEE Transa- ctions on Magnetics, 2004, 40(4): 1810-1819.
2018, Vol. 33 
