考虑漏感频变特性的三相立体卷铁心变压器建模及分析

doi:10.19595/j.cnki.1000-6753.tces.210966

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Abstract For a bidirectional inverter power supply with a wide input voltage range, the magnetic integration method can be used to increase the power density. Magnetic integration is used in two aspects: ①core magnetic circuit integration; ②filter inductor integration to isolate transformer leakage inductance. Compared with the traditional three-phase planar laminated core transformer, the 3D wound core transformer has the advantages of a symmetrical magnetic circuit and light weight. Due to the rich harmonic of PWM excitation, the frequency-dependent characteristics of the leakage inductance of the 3D wound core transformer need to be considered. This article intends to carry out related research on the modeling of the 3D wound core transformer considering the frequency-dependent characteristic of the leakage inductance under PWM non-sinusoidal excitation.
First, according to the principle of electromagnetic correspondence, the frequency-dependent leakage inductance in the circuit model was converted to the corresponding frequency-dependent reluctance in the magnetic circuit model. Based on the Foster frequency-dependent reluctance model, a 3D wound core transformer model considering the frequency-dependent characteristic of leakage inductance was proposed, and the model parameters were calculated by a global optimization algorithm.
Secondly, according to the cascaded H-bridge combined DC-AC topology, the harmonic characteristics of PWM non-sinusoidal excitation were analyzed, focusing on the relative phase relationship of the harmonics between different H-bridges. The two transformers were triangularly connected in series on the secondary side, and the various harmonic components between different H-bridges on the primary side could be divided into four categories: positive sequence, negative sequence, zero sequence (one and two groups can cancel), and zero sequence (one and two groups cannot cancel). The dead zone led to a slight reduction of fundamental amplitude and the harmonic amplitude of the multiplier switching-frequency sideband under the PWM voltage excitation. Under load conditions, the 150Hz zero-sequence component caused by the dead zone generated the corresponding harmonic currents in the primary and secondary windings. Since the impedance at 150Hz excitation was small (mainly the leakage inductance of the primary and secondary windings), a significant zero-sequence current component would be generated. Under no-load conditions, the switching current was small, and the anti-parallel diode renewed, so the switching shutdown time was extended, the dead-zone effect could be ignored, and transformer winding didn’t contain 150Hz harmonic current components.
Finally, an inverter power experimental platform was built, and steady-state and dynamic experiments were carried out to verify the accuracy of the model. Under the no-load steady-state condition and load steady-state condition of the inverter power supply, compared with the simulation results of the fixed leakage inductance magnetic circuit model, the fundamental frequency component of the primary current of the frequency-dependent leakage inductance magnetic circuit model had the same amplitude, and the simulation results of the main harmonic components of the multiplier switching-frequency sideband had higher accuracy. Under dynamic conditions, the relative error of the transient peak value of the primary current between the frequency-dependent leakage inductance magnetic circuit model and the experiment was 5.96%, which verified the accuracy of the frequency-dependent leakage inductance magnetic circuit model under dynamic conditions.
The frequency-dependent leakage inductance magnetic circuit model can be used to analyze the transient operating characteristics of the 3D wound core transformer under PWM non-sinusoidal excitation, and provide technical support for the application of the 3D wound core transformer in the field of power electronic conversion.

Key words： 3D wound core double-Fourier analysis leakage inductance frequency-dependent characteristic magnetic circuit model

Received: 30 June 2021

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TM401

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	Fan Xuexin
	Yang Beichao
	Jie Guisheng
	Wang Ruitian
	Gao Shan

Cite this article:

Fan Xuexin,Yang Beichao,Jie Guisheng等. Modeling and Analysis of 3D Wound Core Transformer Considering Frequency-Dependent Characteristics of Leakage Inductance[J]. Transactions of China Electrotechnical Society, 2023, 38(1): 140-152.

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https://dgjsxb.ces-transaction.com/EN/10.19595/j.cnki.1000-6753.tces.210966 OR https://dgjsxb.ces-transaction.com/EN/Y2023/V38/I1/140

[1] 施静容, 李勇, 贺悝, 等. 一种提升交直流混合微电网动态特性的综合惯量控制方法[J]. 电工技术学报, 2020, 35(2): 337-345.
Shi Jingrong, Li Yong, He Li, et al.A comprehensive inertia control method for improving the dynamic characteristics of hybrid AC-DC microgrid[J]. Transactions of China Electrotechnical Society, 2020, 35(2): 337-345.
[2] 刘计龙, 朱志超, 肖飞, 等. 一种面向舰船综合电力系统的模块化三端口直流变换器[J]. 电工技术学报, 2020, 35(19): 4085-4096.
Liu Jilong, Zhu Zhichao, Xiao Fei, et al.A modular three-port DC-DC converter for vessel integrated power system[J]. Transactions of China Electro-technical Society, 2020, 35(19): 4085-4096.
[3] 叶满园, 任威, 李宋, 等. 基于控制载波自由度的级联H桥逆变器改进型PWM技术[J]. 电工技术学报, 2021, 36(14): 3010-3021.
Ye Manyuan, Ren Wei, Li Song, et al.Improved PWM technology of cascaded H-bridge inverter based on control of carrier degree of freedom[J]. Transactions of China Electrotechnical Society, 2021, 36(14): 3010-3021.
[4] 陈仲, 孙健博, 许亚明, 等. 采用输出周期脉冲循环的级联H桥型逆变器功率均衡方法[J]. 电工技术学报, 2020, 35(4): 827-838.
Chen Zhong, Sun Jianbo, Xu Yaming, et al.Power balance method of cascaded H-bridge inverter based on pulse circulation in output period[J]. Transactions of China Electrotechnical Society, 2020, 35(4): 827-838.
[5] Miki A, Hosoya T, Okuyama K. A calculation method for impulse voltage distribution and transferred voltage in transformer windings[J]. IEEE Transactions on Power Apparatus and Systems, 1978, PAS-97(3): 930-939.
[6] 赵淳, 阮羚, 阮江军, 等. 基于多导体传输线模型的变压器绕组电压分布求解[J]. 变压器, 2009, 46(7): 31-34, 60.
Zhao Chun, Ruan Ling, Ruan Jiangjun, et al.Solution for voltage distribution in transformer winding based on model of multi-conductor transmission line[J]. Transformer, 2009, 46(7): 31-34, 60.
[7] 梁贵书, 王雁超. 考虑频变参数的油浸式变压器绕组分数阶传输线模型[J]. 电工技术学报, 2016, 31(17): 178-186.
Liang Guishu, Wang Yanchao.Fractional transmission line model of oil-immersed transformer winding considering frequency-dependent parameters[J]. Transactions of China Electrotechnical Society, 2016, 31(17): 178-186.
[8] 陈伟根, 胡金星, 杜林, 等. 基于准静态电磁场的变压器线圈中特快速暂态仿真建模[J]. 电网技术, 2005, 29(23): 56-61.
Chen Weigen, Hu Jinxing, Du Lin, et al.Modeling of transformer winding for very fast transient voltage simulation based on quasi-stationary electromagnetic field[J]. Power System Technology, 2005, 29(23): 56-61.
[9] de Leon F, Semlyen A. Time domain modeling of eddy current effects for transformer transients[J]. IEEE Transactions on Power Delivery, 1993, 8(1): 271-280.
[10] Martinez J A, Mork B A.Transformer modeling for low- and mid-frequency transients - a review[J]. IEEE Transactions on Power Delivery, 2005, 20(2): 1625-1632.
[11] Upadhyay G, Singh A, Seth S K, et al.FEM based no-load loss calculation of triangular wound core transformer[C]//2016 IEEE 1st International Con-ference on Power Electronics, Intelligent Control and Energy Systems (ICPEICES), Delhi, India, 2016: 1-4.
[12] 郑黎明. 油浸式立体卷铁心变压器的优化设计研究[D]. 广州: 华南理工大学, 2013.
[13] 陈彬, 李琳, 赵志斌. 一种考虑频变特性的大容量高频变压器漏电感解析计算方法[J]. 中国电机工程学报, 2017, 37(13): 3928-3937.
Chen Bin, Li Lin, Zhao Zhibin.An analytical calculation method of leakage inductance in high-power high-frequency transformers considering frequency-dependence characteristics[J]. Proceedings of the CSEE, 2017, 37(13): 3928-3937.
[14] Dowell P L.Effects of eddy currents in transformer windings[J]. Proceedings of the Institution of Electrical Engineers, 1966, 113(8): 1387-1394.
[15] Dommel H W, 著. 电力系统电磁暂态计算理论[M]. 李永庄, 等译. 北京: 水利电力出版社, 1991.
[16] 范学鑫, 彭方成, 王瑞田, 等. 大容量变流器DCM模式下带逆变器级联系统静态稳定性分析[J]. 海军工程大学学报, 2020, 32(3): 18-25.
Fan Xuexin, Peng Fangcheng, Wang Ruitian, et al.Static stability analysis of cascaded system with high-capacity converter and inverter in DCM[J]. Journal of Naval University of Engineering, 2020, 32(3): 18-25.
[17] 陈龙, 易琼洋, 贲彤, 等. 全局优化算法在Preisach磁滞模型参数辨识问题中的应用与性能对比[J]. 电工技术学报, 2021, 36(12): 2585-2593, 2606.
Chen Long, Yi Qiongyang, Ben Tong, et al.Application and performance comparison of global optimization algorithms in the parameter identification problems of the Preisach hysteresis model[J]. Transactions of China Electrotechnical Society, 2021, 36(12): 2585-2593, 2606.
[18] 郭健, 林鹤云, 徐子宏, 等. 三相三柱变压器零序阻抗的场路耦合计算与分析[J]. 电工技术学报, 2009, 24(3): 80-85.
Guo Jian, Lin Heyun, Xu Zihong, et al.Calculation and analysis of zero-sequence impedance of three-phase and three limbs transformer based on field circuit coupled method[J]. Transactions of China Electrotechnical Society, 2009, 24(3): 80-85.
[19] 陈轶涵, 郭鸿浩, 陈家伟. 基于载波移相控制的模块化串并联逆变器非理想条件谐波特性分析[J]. 电工技术学报, 2020, 35(8): 1690-1704.
Chen Yihan, Guo Honghao, Chen Jiawei.Analysis of harmonic characteristics in non-ideal conditions of modular series/parallel inverter based on carrier phase shift control[J]. Transactions of China Electrotechnical Society, 2020, 35(8): 1690-1704.
[20] 刘凤君. 现代逆变技术及应用[M]. 北京: 电子工业出版社, 2006.
[21] 陈杰, 章新颖, 闫震宇, 等. 基于虚拟阻抗的逆变器死区补偿及谐波电流抑制分析[J]. 电工技术学报, 2021, 36(8): 1671-1680.
Chen Jie, Zhang Xinying, Yan Zhenyu, et al.Dead-time effect and background grid-voltage harmonic suppression methods for inverters with virtual impedance control[J]. Transactions of China Electrotechnical Society, 2021, 36(8): 1671-1680.
[22] 罗毅飞, 刘宾礼, 汪波, 等. IGBT开关机理对逆变器死区时间的影响[J]. 电机与控制学报, 2014, 18(5): 62-68, 75.
Luo Yifei, Liu Binli, Wang Bo, et al.The influence of IGBT switching mechanism on the dead-time of inverters[J]. Electric Machines and Control, 2014, 18(5): 62-68, 75.