李元, 林金山, 邵先军, 杨智, 张大宁, 张冠军. 基于等效媒质理论的高频变压器利兹线周期性结构均质化建模方法[J]. 高电压技术, 2024, 50(10): 4440-4449. DOI: 10.13336/j.1003-6520.hve.20240638
引用本文: 李元, 林金山, 邵先军, 杨智, 张大宁, 张冠军. 基于等效媒质理论的高频变压器利兹线周期性结构均质化建模方法[J]. 高电压技术, 2024, 50(10): 4440-4449. DOI: 10.13336/j.1003-6520.hve.20240638
LI Yuan, LIN Jinshan, SHAO Xianjun, YANG Zhi, ZHANG Daning, ZHANG Guanjun. Homogenization Modelling Method of High-frequency Transformer Litz-wire with Periodic Structure Based on Equivalent Media Theory[J]. High Voltage Engineering, 2024, 50(10): 4440-4449. DOI: 10.13336/j.1003-6520.hve.20240638
Citation: LI Yuan, LIN Jinshan, SHAO Xianjun, YANG Zhi, ZHANG Daning, ZHANG Guanjun. Homogenization Modelling Method of High-frequency Transformer Litz-wire with Periodic Structure Based on Equivalent Media Theory[J]. High Voltage Engineering, 2024, 50(10): 4440-4449. DOI: 10.13336/j.1003-6520.hve.20240638

基于等效媒质理论的高频变压器利兹线周期性结构均质化建模方法

Homogenization Modelling Method of High-frequency Transformer Litz-wire with Periodic Structure Based on Equivalent Media Theory

  • 摘要: 高频变压器是电力电子变压器实现新能源交直流系统电气隔离、电压转换的核心部件,具有体积小、功率密度高的特点。受高频集肤效应及邻近效应影响,高频变压器的绕组损耗一般很大,加之其结构紧凑、散热能力不足,设备局部温升极易越限。准确高效地计算绕组损耗对高频变压器的优化设计和可靠运行具有重要意义。该文分析了利兹线的微观蜂巢结构,提取基本周期单元从而简化电磁场分析,基于等效媒质理论提出了绕组电磁场均质化仿真模型与损耗计算方法。结果表明:均质化仿真模型具有很高的准确性与计算效率,以精细化2维模型仿真结果为参考,磁通密度和电场强度的仿真误差小于0.5%,计算效率提升了约12 000倍,运行内存需求减少了30.28倍;损耗计算方法在中低频段与主流模型的准确度近似,而在高频段的误差比Tourkhani模型降低了20%。该文提出的均质化模型显著降低了利兹线绕组电磁场仿真的建模难度和计算量,解决了高频涡流仿真难度大、损耗计算准确度低的问题,为高频变压器结构优化设计提供理论和模型支持。

     

    Abstract: High-frequency transformer is the core component of power electronic transformer to realize electrical isolation and voltage conversion of new energy AC/DC system, which has the characteristics of small volume and high power density. Affected by high-frequency skin effect and proximity effect, the winding loss of high-frequency transformer is generally large. In addition, due to its compact structure and insufficient heat dissipation capacity, it is easy to cause the local temperature rise of the equipment to exceed the limit. It is of great significance to calculate winding loss accurately and efficiently for the optimal design and reliable operation of high-frequency transformers. This paper analyzes the microscopic honeycomb structure of the Litz-wire, extracts the basic periodic unit to simplify the electromagnetic field analysis, and proposes the winding electromagnetic field homogenization simulation model and loss calculation method based on the equivalent medium theory. The results show that the homogenization simulation model has high accuracy and computational efficiency. By taking the simulation results of the refined two-dimensional model as a reference, the simulation error of the magnetic flux density and the electric field strength is less than 0.5%, the computational efficiency is improved by about 12 000 times, and the running memory requirement is reduced by 30.28 times. The accuracy of the proposed loss calculation formula is similar to that of the mainstream model in the middle- and low-frequency bands, while the error in the high-frequency band is 20% lower than that of the Tourkhani model. The homogenization model proposed in this paper significantly reduces the modeling difficulty and calculation amount of the electromagnetic field simulation of the Litz-wire winding, solves the problems of high-frequency eddy current simulation difficulty and low loss calculation accuracy, and provides theoretical and model supports for the structural optimization design of the high-frequency transformer.

     

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