电源学报

CLLC电路变压器圆形利兹线绕组损耗的精确计算

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周乐保 ¹ , 杨汝中国电源学会会员 ¹ , 杨红 ¹ , 廖慧 ²

电源学报 | 无源元件与材料 2025,23(8): 309-316

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电源学报 |无源元件与材料 2025 , 23 (8) : 309 -316

CLLC电路变压器圆形利兹线绕组损耗的精确计算

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周乐保¹, 杨汝中国电源学会会员¹, 杨红¹, 廖慧²

作者信息

^1.广州大学机械与电气工程学院，广州　510006

^2.广东创电科技有限公司，佛山　528200

通讯作者:

杨汝（1971—　），女，中国电源学会会员，通信作者，博士，教授。研究方向：电力电子非线性系统分析与控制。E-mail：yangru@gzhu.edu.cn

作者简介:

周乐保（1997—　），男，硕士研究生。研究方向：高频变压器损耗测量与计算。E-mail：2112207059@e.gzhu.edu.cn

杨红（1967—　），男，博士，副教授。研究方向：电机控制，人工智能，FPGA。E-mail：yanghong@gzhu.edu.cn

廖慧（1975—　），男，博士，副教授。研究方向：电力电子。E-mail：liaoh-cd@gzzg.com.cn

Accurate Calculation of Winding Losses of Circular Litz-wire in Transformer with CLLC Circuit

Lebao ZHOU¹, Ru YANG Member, CPSS¹, Hong YANG¹, Hui LIAO²

Affiliations

^1.School of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou 510006, China

^2.Guangdong Cemdeo Technology Co., Ltd., Foshan 528200, China

出版时间: 2025-12-30 doi: 10.13234/j.issn.2095-2805.2025.8.309

文章导航

摘要

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为了快速准确地计算CLLC谐振电路变压器的利兹线绕组损耗，利用集肤效应与邻近效应之间的正交关系，将绕组损耗分为集肤效应损耗和邻近效应损耗分别进行计算，这样可以避免绕组端部效应造成的误差。首先，利用占空比进行邻近效应的损耗计算，通过分析CLLC谐振电路变压器上的电流表达式，将其与集肤效应损耗和邻近效应损耗公式相结合，总结出了CLLC谐振电路变压器绕组损耗的经验计算公式。最后，设计制作了CLLC谐振电路的变压器，并进行了Maxwell仿真与实验测量验证，与修正后的Tourkhani模型进行比较。结果显示，提出的CLLC变压器利兹线绕组损耗模型能够精确计算CLLC变压器中利兹线绕组的损耗，从而实现对CLLC谐振电路中变压器利兹线绕组损耗的准确预测。

关键词

占空比 / CLLC谐振电路 / 高频变压器 / 绕组损耗 / 圆形利兹线

Abstract

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To quickly and accurately calculate the winding losses of Litz-wire in a transformer with a CLLC resonant circuit, the orthogonal relationship between the skin effect and proximity effect is utilized to divide the winding losses into those caused by the skin effect and proximity effect, so that these losses can be calculated separately to avoid errors caused by end effects in the windings. First, the duty cycle is used to calculate the losses caused by the proximity effect. By analyzing the current expressions for the transformer with a CLLC resonant circuit and further combining them with the formulas for losses caused by the skin effect and proximity effect, an empirical formula for calculating the winding losses of the transformer with a CLLC resonant circuit is derived. Finally, a transformer with a CLLC resonant circuit was designed and fabricated, Maxwell simulations and experimental measurements were conducted for validation, and the simulated and measured values were also compared with those calculated by a modified Tourkhani model. Results show that the proposed model can accurately calculate the winding losses of Litz-wire in the CLLC transformer, enabling precise prediction of winding losses of Litz-wire in transformers with CLLC resonant circuits.

Key words

Duty cycle / CLLC resonant circuit / high-frequency transformer / winding loss / circular Litz-wire

引用本文

周乐保, 杨汝中国电源学会会员, 杨红, 廖慧. CLLC电路变压器圆形利兹线绕组损耗的精确计算. 电源学报, 2025 , 23 (8) : 309 -316 . DOI: 10.13234/j.issn.2095-2805.2025.8.309

Lebao ZHOU, Ru YANG, Hong YANG, Hui LIAO. Accurate Calculation of Winding Losses of Circular Litz-wire in Transformer with CLLC Circuit[J]. Journal of Power Supply, 2025 , 23 (8) : 309 -316 . DOI: 10.13234/j.issn.2095-2805.2025.8.309

基金

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广东省科技项目(2022A1414020018)

参考文献

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2025年第23卷第8期

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文章信息

doi: 10.13234/j.issn.2095-2805.2025.8.309

接收时间：2024-06-07
首发时间：2026-10-26
出版时间：2025-12-30

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出版历史

收稿日期：2024-06-07
修回日期：2024-10-01
录用日期：2024-11-03

基金

Guangdong Provincial Science and Technology Project(2022A1414020018)

广东省科技项目(2022A1414020018)

作者信息

^1.广州大学机械与电气工程学院，广州　510006

^2.广东创电科技有限公司，佛山　528200

通讯作者:

杨汝（1971—　），女，中国电源学会会员，通信作者，博士，教授。研究方向：电力电子非线性系统分析与控制。E-mail：yangru@gzhu.edu.cn

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https://castjournals.cast.org.cn/joweb/dyxb/CN/10.13234/j.issn.2095-2805.2025.8.309

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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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