1. 湖北省输电线路工程技术研究中心(三峡大学),宜昌,443002
2. 三峡大学电气与新能源学院,宜昌,443002
3. 国网湖北省电力有限公司宜昌供电公司,宜昌,443002
4. 国网新疆电力有限公司喀什供电公司,喀什,844099
收稿:2025-04-27,
纸质出版:2026
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陈彬, 王文博, 杨楚原, 等. 基于磁场能量法的环形高频变压器漏电感解析计算方法[J]. 高电压技术, 2026,52(4):1994-2005.
CHEN Bin, WANG Wenbo, YANG Chuyuan, et al. 基于磁场能量法的环形高频变压器漏电感解析计算方法[J]. 2026, 52(4): 1994-2005.
陈彬, 王文博, 杨楚原, 等. 基于磁场能量法的环形高频变压器漏电感解析计算方法[J]. 高电压技术, 2026,52(4):1994-2005. DOI: 10.13336/j.1003-6520.hve.20250229.
CHEN Bin, WANG Wenbo, YANG Chuyuan, et al. 基于磁场能量法的环形高频变压器漏电感解析计算方法[J]. 2026, 52(4): 1994-2005. DOI: 10.13336/j.1003-6520.hve.20250229.
由于环形高频变压器独特的环形磁芯结构与非对称绕线方式,导致其漏磁场分布特性与壳式和芯式变压器存在显著差异,采用传统的变压器漏电感计算方法存在局限性。针对环形高频变压器漏电感精确计算问题,提出了一种新的解析计算方法。首先,基于磁场能量法和安培环路定律,推导出圆导线自身电流及周围导线电流产生的内部磁场强度和外部磁场强度的解析表达式;然后,根据漏磁场分布特性实施空间区域细分,对各子区域的漏磁能量进行独立积分计算;此外,充分考虑高频工况下的涡流损耗效应对漏电感的影响,同时间接计及匝间不规则空隙的漏磁能量,以提高计算精度;最后,通过设计并制作环形变压器样机开展实验验证,结果显示实测值与理论计算值的相对误差不超过4%,显著优于传统计算方法。为系统验证解析方法的适用性,构建包含16组不同规格的仿真验证体系:1组与实测样机同规格的基准模型,15组通过磁芯参数单变量离散调整生成的衍生模型。计算值与仿真值的相对偏差低于5%,验证了所提方法的有效性和准确性。
The distinctive toroidal core structure and asymmetric winding mode of toroidal high-frequency transformers facilitate the leakage magnetic field distribution characteristics to differ significantly from those of shell and core transformers. Consequently
the conventional method for calculating transformer leakage inductance is limited. This paper introduces a novel analytical approach for determining the leakage inductance of toroidal high-frequency transformers. Analytical expressions for the internal and external magnetic field intensities generated by a round conductor and a surrounding conductor are derived by using the magnetic field energy method and Ampere’s law. Spatial subdivisions are then implemented based on the distribution characteristics of the leakage magnetic field
and the magnetic leakage energy of each sub-region is calculated through independent integration. The impact of eddy current loss on leakage inductance at high frequencies is thoroughly taken into account
and the leakage magnetic energy of irregular gaps between turns is indirectly considered to enhance calculation accuracy. A toroidal transformer prototype is designed and fabricated for experimental validation
demonstrating a relative error of less than 4% between the measured and theoretical values
surpassing traditional calculation methods. To systematically assess the analytical approach
16 sets of simulation verification systems are established
comprising one benchmark group mirroring the prototype’s specifications and 15 derivative groups with core parameters adjusted discretely. The relative deviation between calculated and simulated values is below 5%
verifying the efficacy and accuracy of the proposed method.
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