Abstract:An accurate multi-winding high-frequency transformer equivalent circuit model is required to implement the circuit simulation of the power converter. The traditional multi-winding transformer star model not only has the oscillating problem caused by negative leakage inductance, but also has poor accuracy in simulating transient problems. The multi-winding transformer model based on duality principle is more accurate in simulating transient problems, but its topology is complex. It is difficult to determine model parameters based on port measurements information. In this paper, the magnetic field distribution of multi-winding transformers is analysed numerically. The dual model of multi-winding high-frequency transformers with alternating winding structure and its parameters are determined. An inductance determination method is proposed by observing the magnetic energy and magnetic flux of each reluctance in the magnetic circuit, and it makes the complex model topology no longer be limited by the port measurements information. The nonlinear reluctance in the magnetic circuit is determined by applying various excitation currents, and then the nonlinear inductance is obtained by conversion. The equivalent circuit model is compared with the polygon model and experimental results to verify the accuracy of the proposed model.
[1] Vu T, Driscoll S, Ringwood J.Nonlinear dynamic transformer time-domain identification for power converter application[J]. IEEE Transactions on Power Electronics, 2014, 29(1): 318-327. [2] Mohammed O, Liu Z, Liu S.Finite-element-based nonlinear physical model of iron-core transformers for dynamic simulations[J]. IEEE Transactions on Magnetics, 2006, 42(4): 1027-1030. [3] Deng Xianming, Cheng En, Liu Na.A novel transformer with adjustable leakage inductance[J]. International Journal of Applied Electromagnetics and Mechanics, 2017, 55(S1):1-14. [4] Park C, Lee H, Lee B.A study on the design parameters of inductive power transformers[J]. International Journal of Applied Electromagnetics and Mechanics, 2012, 39(4): 809-815. [5] Starr F.Equivalent circuits—I[J]. Transactions of the American Institute of Electrical Engineers, 1932, 51(2): 287-298. [6] Boyajian A.Theory of three-circuit transformers[J]. Transactions of the American Institute of Electrical Engineers, 1924, 23: 508-529. [7] Álvarez-Mariño C, de León F, López-Fernández X M. Equivalent circuit for the leakage inductance of multiwinding transformers: unification of terminal and duality models[J]. IEEE Transactions on Power Delivery, 2012, 27(1): 353-361. [8] Jazebi S, Zirka S E, Lambert M, et al.Duality derived transformer models for low-frequency electromagnetic transients part I: topological models[J]. IEEE Transactions on Power Delivery, 2016, 31(5): 2410-2419. [9] Brandwajn V, Dommel H W, Dommel I I.Matrix representation of three-phase N-winding transformers for steady-state and transient studies[J]. IEEE Transactions on Power Apparatus and Systems, 1982, 101(6): 1369-1378. [10] 陈彬, 李琳, 赵志斌. 双向全桥DC-DC 变换器中大容量高频变压器绕组与磁心损耗计算[J]. 电工技术学报, 2017, 32(22): 123-133. 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): 123-133. [11] Cherry E C.The duality between interlinked electric and magnetic circuits and the formation of transformer equivalent circuits[J]. Proceedings of Physics Society, 1949, 62(2): 101-111. [12] Slemon G R.Equivalent circuits for transformers and machines including nonlinear effects[J]. Proceedings of the IEE-Part IV: Institution Monographs, 1953, 100(5): 129-143. [13] Pedra J, Corcoles F, Sainz L, et al.Harmonic nonlinear transformer modeling[J]. IEEE Transactions on Power Delivery, 2004, 19(2): 884-890. [14] Blume L F, Boyajian A, Camilli G, et al.Transformer Engineering[M]. NewYork: Wiley, 1951. [15] Starr F.An equivalent circuit for the four-winding transformer[J]. General Electric Review, 1933, 36(3): 150-152. [16] Aicher L C.A useful equivalent circuit for a five-winding transformer[J]. Electrical Engineering 1943, 62(2): 66-70. [17] de León F, Martinez-Velasco J A. Dual three-winding transformer equivalent circuit matching leakage measurements[J]. IEEE Transactions on Power Delivery, 2009, 24(1): 160-168. [18] 高志刚, 冬雷, 李永东, 等. 基于高频变压器的背靠级联 H桥型变换器[J]. 电工技术学报, 2013, 28(6): 122-128. Gao Zhigang, Dong Lei, Li Yongdong, et al.Research on back to back cascaded H-bridge converter based on high frequency transformer[J]. Transactions of China Electrotechnical Society, 2013, 28(6): 133-138. [19] 刘树林, 曹剑, 胡传义, 等. 正-反激组合变换器的能量传输模式及输出纹波电压分析[J]. 电工技术学报, 2019, 34(8): 1648-1656. Liu Shulin, Cao Jian, Hu Chuanyi, et al.Energy transmission modes and output ripple voltage of forward-flyback converter[J]. Transactions of China Electrotechnical Society, 2019, 34(8): 1648-1656. [20] 黄阳强, 许建平, 殷刚, 等. 准谐振软开关双管反激变换器[J]. 电工技术学报, 2018, 33(18): 4314-4322. Huang Yangqiang, Xu Jianping, Yin Gang, et al.Quasi-resonant soft-switched two-switch flyback converter[J]. Transactions of China Electrotechnical Society, 2018, 33(18): 4314-4322.