电源学报

分布气隙变压器的利兹线绕组损耗计算方法研究

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沈焜 ¹ , 李世茂 ¹ , 黄晓生 ¹ , 孔毅鹏 ² , 陈为 ²

电源学报 | 无源器件 2026,24(1): 10-20

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电源学报 |无源器件 2026 , 24 (1) : 10 -20

分布气隙变压器的利兹线绕组损耗计算方法研究

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沈焜¹, 李世茂¹, 黄晓生¹, 孔毅鹏², 陈为²

作者信息

^1.福建理工大学电子电气与物理学院，福州　350118

^2.福州大学电气工程与自动化学院，福州　350108

通讯作者:

黄晓生（1986—　），男，通信作者，博士，副教授。研究方向：电力电子功率变换及高频电磁技术。E-mail：hxs@fjut.edu.cn。

作者简介:

沈焜（2000—　），男，硕士研究生。研究方向：DC-DC谐振变换器及其磁元件设计。E-mail：413287450@qq.com。

李世茂（1999—　），男，硕士研究生。研究方向：DC-DC谐振变换器及其设计。E-mail：lishimao99@qq.com。

孔毅鹏（1992—　），男，博士。研究方向：电力电子功率变换及高频电磁技术。E-mail：578291892@qq.com。

陈为（1958—　），男，博士，教授。研究方向：电力电子功率变换/高频磁技术，电磁兼容诊断与滤波器，电磁场分析与应用，电磁检测。E-mail：chw@fzu.edu.cn。

Study on Calculation Method for Litz Wire Winding Losses in Distributed Air Gap Transformer

Kun SHEN¹, Shimao LI¹, Xiaosheng HUANG¹, Yipeng KONG², Wei CHEN²

Affiliations

^1.School of Electronic, Electrical Engineering and Physics, Fujian University of Technology, Fuzhou 350118, China

^2.College of Electrical Engineering and Automation, Fuzhou University, Fuzhou 350108, China

出版时间: 2026-01-30 doi: 10.13234/j.issn.2095-2805.2026.1.10

文章导航

摘要

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高频变压器绕组损耗的计算是CLLC变换器效率优化的关键，目前缺乏能准确、高效计算绕组损耗，尤其是利兹线绕组损耗的方法，因此针对利兹线高频变压器提出1种基于互阻抗等效电路的绕组损耗计算方法。首先，对比分析了基于一维Dowell模型及二维Bessel函数法的利兹线绕组损耗解析计算方法。然后，建立了1种用于简化绕组损耗计算的互阻等效模型，给出具体算例，并与二维有限元仿真的阻抗矩阵进行对比，算例的等效串联电阻计算结果与有限元法的相对误差不高于6%，验证了所提方法的有效性和准确性。最后，搭建了用于CLLC变换器的高频变压器样机，通过实验测量验证了所提方法的可行性。

关键词

CLLC谐振变换器 / 利兹线 / 绕组损耗 / Dowell模型 / 有限元模型

Abstract

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The calculation of high-frequency transformer winding losses is crucial for optimizing the efficiency of CLLC converters. However, there remains a lack of accurate and efficient methods for calculating the winding losses, particularly the winding losses in Litz wire. A mutual-impedance equivalent circuit-based method for calculating the winding losses in Litz wire high-frequency transformers is proposed. First, the analytical approaches for calculating the Litz wire winding losses based on a one-dimensional Dowell model and a two-dimensional Bessel function method are comparatively analyzed. Then, a mutual-impedance equivalent model is established to simplify the calculation of winding losses. A specific case study is given, and the values calculated using the proposed method are compared with the impedance matrix results derived from two-dimensional finite element simulations. Results demonstrate that the relative error between the equivalent series resistances calculated using the proposed method and the results based on the finite element method does not exceed 6%, validating the effectiveness and accuracy of the proposed method. Finally, a high-frequency transformer prototype for the CLLC converter was constructed, and experimental measurements verified the feasibility of the proposed method.

Key words

CLLC resonant converter / Litz wire / winding loss / Dowell model / finite element model

引用本文

沈焜, 李世茂, 黄晓生, 孔毅鹏, 陈为. 分布气隙变压器的利兹线绕组损耗计算方法研究. 电源学报, 2026 , 24 (1) : 10 -20 . DOI: 10.13234/j.issn.2095-2805.2026.1.10

Kun SHEN, Shimao LI, Xiaosheng HUANG, Yipeng KONG, Wei CHEN. Study on Calculation Method for Litz Wire Winding Losses in Distributed Air Gap Transformer[J]. Journal of Power Supply, 2026 , 24 (1) : 10 -20 . DOI: 10.13234/j.issn.2095-2805.2026.1.10

基金

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福建省自然科学基金资助项目(2023J01949; 2022J01950)

参考文献

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参考文献引证文献

排序方式：

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2026年第24卷第1期

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文章信息

doi: 10.13234/j.issn.2095-2805.2026.1.10

接收时间：2024-12-19
首发时间：2026-10-26
出版时间：2026-01-30

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出版历史

收稿日期：2024-12-19
修回日期：2025-02-26
录用日期：2025-03-06

基金

Natural Science Foundation of Fujian Province(2023J01949; 2022J01950)

福建省自然科学基金资助项目(2023J01949; 2022J01950)

作者信息

^1.福建理工大学电子电气与物理学院，福州　350118

^2.福州大学电气工程与自动化学院，福州　350108

通讯作者:

黄晓生（1986—　），男，通信作者，博士，副教授。研究方向：电力电子功率变换及高频电磁技术。E-mail：hxs@fjut.edu.cn。

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https://castjournals.cast.org.cn/joweb/dyxb/CN/10.13234/j.issn.2095-2805.2026.1.10

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2种不同金属材料的力学参数

科 Family	属数 Number of genus	种数 Number of species	占总种数比例 Percentage of total species (%)	属 Genus	种数 Number of species	占总种数比例 Percentage of total species (%)
鹅膏菌科Amanitaceae	2	11	5.26	鹅膏菌属 Amanita	10	4.78
小菇科 Mycenaceae	2	12	5.74	丝盖伞属 Inocybe	5	2.39
多孔菌科 Polyporaceae	8	14	6.70	蜡蘑属 Laccaria	5	2.39
红菇科 Russulaceae	3	23	11.00	小皮伞属 Marasmius	6	2.87
				小菇属 Mycena	11	5.26
				光柄菇属 Pluteus	5	2.39
				红菇属 Russula	17	8.13
				栓菌属 Trametes	5	2.39

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