电源学报

基于磁路法的分段气隙磁心电感器磁损计算

PDF下载

谷爱昱 ¹ , 符立泉 ¹ , 董越 ²

电源学报 | 无源器件 2026,24(2): 10-17

收起

电源学报 |无源器件 2026 , 24 (2) : 10 -17

基于磁路法的分段气隙磁心电感器磁损计算

全屏

[Author(id=1322506795847893672, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322506794962895518, orderNo=0, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=guay@gdut.edu.cn, emailSecond=null, emailThird=null, correspondingAuthor=1, authorType=1, ext={EN=AuthorExt(id=1322506795931779754, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322506794962895518, authorId=1322506795847893672, language=EN, stringName=Aiyu GU, firstName=Aiyu, middleName=null, lastName=GU, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=¹, address=^1.School of Automation, Guangdong University of Technology, Guangzhou 510006, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1322506796011471531, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322506794962895518, authorId=1322506795847893672, language=CN, stringName=谷爱昱, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=¹, address=^1.广东工业大学自动化学院，广州　510006, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null)}, companyList=[AuthorCompany(id=1322506795654955681, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322506794962895518, xref=1., ext=[AuthorCompanyExt(id=1322506795663344290, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322506794962895518, companyId=1322506795654955681, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=^1.School of Automation, Guangdong University of Technology, Guangzhou 510006, China), AuthorCompanyExt(id=1322506795671732899, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322506794962895518, companyId=1322506795654955681, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=^1.广东工业大学自动化学院，广州　510006)])]), Author(id=1322506796074386093, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322506794962895518, orderNo=1, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=13413697149@139.com, emailSecond=null, emailThird=null, correspondingAuthor=0, authorType=1, ext={EN=AuthorExt(id=1322506796149883567, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322506794962895518, authorId=1322506796074386093, language=EN, stringName=Liquan FU, firstName=Liquan, middleName=null, lastName=FU, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=¹, address=^1.School of Automation, Guangdong University of Technology, Guangzhou 510006, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1322506796221186736, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322506794962895518, authorId=1322506796074386093, language=CN, stringName=符立泉, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=¹, address=^1.广东工业大学自动化学院，广州　510006, bio={"content":"

符立泉（1998—　），男，硕士研究生。研究方向：电力电子技术及磁集成技术。E-mail：13413697149@139.com。

"}, bioImg=null, bioContent=

符立泉（1998—　），男，硕士研究生。研究方向：电力电子技术及磁集成技术。E-mail：13413697149@139.com。

, aboutCorrespAuthor=null)}, companyList=[AuthorCompany(id=1322506795654955681, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322506794962895518, xref=1., ext=[AuthorCompanyExt(id=1322506795663344290, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322506794962895518, companyId=1322506795654955681, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=^1.School of Automation, Guangdong University of Technology, Guangzhou 510006, China), AuthorCompanyExt(id=1322506795671732899, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322506794962895518, companyId=1322506795654955681, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=^1.广东工业大学自动化学院，广州　510006)])]), Author(id=1322506796313461426, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322506794962895518, orderNo=2, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=dcdy2004@163.com, emailSecond=null, emailThird=null, correspondingAuthor=0, authorType=1, ext={EN=AuthorExt(id=1322506797936657077, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322506794962895518, authorId=1322506796313461426, language=EN, stringName=Yue DONG, firstName=Yue, middleName=null, lastName=DONG, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=², address=^2.Zhongwei Power Supply Company, State Grid Ningxia Electric Power Co., Ltd., Zhongwei 755000, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1322506798016348854, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322506794962895518, authorId=1322506796313461426, language=CN, stringName=董越, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=², address=^2.国网宁夏电力有限公司中卫供电公司，中卫　755000, bio={"content":"

董越（1991—　），男，本科，工程师。研究方向：配网运维检修技术。E-mail：dcdy2004@163.com。

"}, bioImg=null, bioContent=

董越（1991—　），男，本科，工程师。研究方向：配网运维检修技术。E-mail：dcdy2004@163.com。

, aboutCorrespAuthor=null)}, companyList=[AuthorCompany(id=1322506795751424676, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322506794962895518, xref=2., ext=[AuthorCompanyExt(id=1322506795764007589, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322506794962895518, companyId=1322506795751424676, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=^2.Zhongwei Power Supply Company, State Grid Ningxia Electric Power Co., Ltd., Zhongwei 755000, China), AuthorCompanyExt(id=1322506795776590502, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1322506794962895518, companyId=1322506795751424676, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=^2.国网宁夏电力有限公司中卫供电公司，中卫　755000)])])]

谷爱昱¹, 符立泉¹, 董越²

作者信息

^1.广东工业大学自动化学院，广州　510006

^2.国网宁夏电力有限公司中卫供电公司，中卫　755000

通讯作者:

谷爱昱（1970—　），女，通信作者，博士，教授。研究方向：电机及其系统控制，特种电磁装置。E-mail：guay@gdut.edu.cn。

作者简介:

符立泉（1998—　），男，硕士研究生。研究方向：电力电子技术及磁集成技术。E-mail：13413697149@139.com。

董越（1991—　），男，本科，工程师。研究方向：配网运维检修技术。E-mail：dcdy2004@163.com。

Core Loss Calculation of Segmented Air Gap Core Inductor Based on Magnetic Circuit Method

Aiyu GU¹, Liquan FU¹, Yue DONG²

Affiliations

^1.School of Automation, Guangdong University of Technology, Guangzhou 510006, China

^2.Zhongwei Power Supply Company, State Grid Ningxia Electric Power Co., Ltd., Zhongwei 755000, China

出版时间: 2026-02-28 doi: 10.13234/j.issn.2095-2805.2026.2.10

文章导航

摘要

收起

在开关电源电感器与变压器的设计中，磁路参数的计算具有重要意义。针对中柱分段气隙的磁心磁阻和磁心损耗难以精确计算的问题，以EC型电感器磁心为例，基于精确域求解和保角变换，提出1种改进的电感器磁心磁路模型。通过理论分析，推导出磁心中柱气隙附近扩散磁通等效磁阻的解析表达式，并提出了1种磁心内角不均匀磁通的磁阻计算模型。最后，在ANSYS Maxwell仿真软件的涡流场中建立3D模型并进行实物实验，将理论所得与仿真结果、实验数据进行对比，验证了理论分析的准确性，为开关电源中分段气隙的电感器或变压器的各类磁心的优化设计和工业生产提供了理论指导和参考。

关键词

分段气隙 / 电感器磁心 / 磁路模型 / 扩散磁通 / 磁阻计算

Abstract

收起

In the design of inductors for switching power supply and transformers, the calculation of magnetic circuit parameters is of significance. Given that it is difficult to accurately calculate the core reluctance and core loss of the center-column segmented air gap, an improved magnetic circuit model of the inductor core is proposed with an EC-type inductor core as an example, which is based on the exact domain solution and conformal transformation. Through theoretical analysis, the analytical expression for the equivalent magnetic reluctance of diffused magnetic flux near the center-column air gap in the magnetic core is derived, and a calculation model of magnetic reluctance for the uneven magnetic flux in the inner angle of the magnetic core is put forward as well. Finally, a 3D model was established in the eddy current field of ANSYS Maxwell simulation software, and physical experiments were also carried out. A comparison of theoretical results with simulation results and experimental data verified the accuracy of the theoretical analysis, providing theoretical guidance and reference for the optimization design and industrial production of various magnetic cores of inductors or transformers used in segmented air gaps in switching power supply.

Key words

Segmented air gap / inductor core / magnetic circuit model / diffused magneticflux / reluctance calculation

引用本文

谷爱昱, 符立泉, 董越. 基于磁路法的分段气隙磁心电感器磁损计算. 电源学报, 2026 , 24 (2) : 10 -17 . DOI: 10.13234/j.issn.2095-2805.2026.2.10

Aiyu GU, Liquan FU, Yue DONG. Core Loss Calculation of Segmented Air Gap Core Inductor Based on Magnetic Circuit Method[J]. Journal of Power Supply, 2026 , 24 (2) : 10 -17 . DOI: 10.13234/j.issn.2095-2805.2026.2.10

基金

收起

国家自然青年基金资助项目(62103109)
广州市科技计划资助项目(201802010045)

参考文献

收起

文献

收起

参考文献引证文献

排序方式：

[1]

于挽涛. 高效小功率反激开关电源的设计[D]. 武汉: 华中科技大学, 2016. Yu Wantao. Research and design of high efficiency and low power flyback power supply[D]. Wuhan: Huazhong University of Science and Technology, 2016. (in Chinese)

[2]

王星, 程志江, 孟德炀, 等. 高频低压平面变压器磁心气隙的研究[J]. 计算机仿真, 2021, 38(3): 190-193, 244. Wang Xing, Cheng Zhijiang, Meng Deyang, et al. Research on air gap of magnetic core of low voltage HPT[J]. Computer Simulation, 2021, 38(3): 190-193, 244. (in Chinese)

[3]

侯宇琦, 王议锋, 陈晨, 等. 改进型分段气隙的高频平面变压器研究[J]. 电力系统及其自动化学报, 2021, 33(6): 110-120. Hou Yuqi, Wang Yifeng, Chen Chen, et al. Research on high-frequency planar transformer with modified sectional-air-gap structure[J]. Proceedings of the CSU-EPSA, 2021, 33(6): 110-120. (in Chinese)

[4]

旷建军. 开关电源中磁性元件绕组损耗的分析与研究[D]. 南京: 南京航空航天大学, 2007. Kuang Jianjun. Analysis and research on winding losses of magnetic components in switching power supply[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2007. (in Chinese)

[5]

Li Yongjian, Liu Huan, Sun He, et al. High-frequency loss modeling of amorphous and nanocrystalline cores with different air gaps[J]. IEEE Transactions on Magnetics, 2022, 58(2): 8400105.

[6]

张建伟, 曹彪. EE型松耦合变压器的精确磁路模型和仿真分析[J]. 电子设计工程, 2013, 21(11): 81-84. Zhang Jianwei, Cao Biao. Magnetic circuit and simulation of EE type loosely coupled transformer[J]. Electronic Design Engineering, 2013, 21(11): 81-84. (in Chinese)

[7]

王莹莹, 周玉斐, 刘帅, 等. 一种结构优化的混合绕制松耦合变压器[J]. 电力电子技术, 2021, 55(7): 30-34. Wang Yingying, Zhou Yufei, Liu Shuai, et al. A hybrid wound loosely coupled transformer with optimized structure[J]. Power Electronics, 2021, 55(7): 30-34. (in Chinese)

[8]

陈庚, 黄思仲, 杨玉岗, 等. 基于磁场分割法的EE型电感器磁路参数计算[J]. 电源学报, 2024, 22(4): 301-308. Chen Geng, Huang Sizhong, Yang Yugang, et al. Calculation of magnetic circuit parameters of EE-type inductor based on magnetic field division method[J]. Journal of Power Supply, 2024, 22(4): 301-308. (in Chinese)

[9]

汪小娜, 张筱琛, 吴旭升, 等. 基于磁场分割法的IPT系统耦合线圈电感计算[J]. 华中科技大学学报(自然科学版), 2022, 50(1): 31-37. Wang Xiaona, Zhang Xiaochen, Wu Xusheng, et al. Inductance calculation of coupling coils IPT system based on magnetic-field division[J]. Journal of Huazhong University of Science and Technology (Nature Science Edition), 2022, 50(1): 31-37. (in Chinese)

[10]

张志弘, 韩勤锴, 徐学平, 等. 基于保角变换与等效磁路法的永磁直驱发电机气隙磁场计算[J]. 电工技术学报, 2023, 38(3): 703-711. Zhang Zhihong, Han Qinkai, Xu Xueping, et al. Air gap magnetic field calculation of permanent magnet direct drive generator based on conformal mapping and magnetic equivalent circuit method[J]. Transactions of China Electrotechnical Society, 2023, 38(3): 703-711. (in Chinese)

[11]

Muhlethaler J, Kolar J W, Ecklebe A. A novel approach for 3D air gap reluctance calculations[C]//8th International Conference on Power Electronics - ECCE Asia. Jeju, Korea, 2011: 446-452.

[12]

Mu Mingkai. High frequency magnetic core loss study[D]. Virginia: Virginia Tech, 2013.

[13]

Arikan P, Balci S, Battal F. Determination of the roll-off value in the air-gapped inductor of a DC-DC Boost converter circuit with FEA parametric simulations[J]. Balkan Journal of Electrical and Computer Engineering, 2020, 8(2): 135-141.

[14]

王晓东. 面向数字孪生应用的功率电感建模方法研究[D]. 重庆: 中国科学院大学(中国科学院重庆绿色智能技术研究院), 2020. Wang Xiaodong. Modeling method of power inductor oriented to digital twin application[D]. Chongqing: Chongqing Institute of Green and Intelligent Technology, Chinese Academy of Sciences, 2020. (in Chinese)

[15]

黎曙. 基于磁网络的磁场调制式磁齿轮设计方法研究[D]. 北京: 中国舰船研究院, 2016. Li Shu. Research of design method of field modulated permanent magnetic gear based on magnetic network method[D]. Beijing: China Ship Research and Development Academy, 2016. (in Chinese)

[16]

张炳义, 冯永, 冯桂宏, 等. 轴向磁通调速磁力耦合器漏磁系数分析计算与试验研究[J]. 电机与控制学报, 2019, 23(3): 73-80. Zhang Bingyi, Feng Yong, Feng Guihong, et al. Calculation method of magnetic flux leakage coefficient and experimental study of permanent magnet coupler with axial magnetic flux[J]. Electric Machines and Control, 2019, 23(3): 73-80. (in Chinese)

[17]

Wang Xiaodong, Chen Hui, Shi Mingquan, et al. A novel magnetic equivalent circuit model for the corner of inductor core[J]. Applied Sciences, 2019, 9(24): 5341.

[18]

顾泽煜, 谢小高. 基于有限元仿真的LLC谐振变换器集成式高频变压器优化设计[J]. 电源学报, 2025, 23(6): 23-31. Gu Zeyu, Xie Xiaogao. Optimal design of integrated high-frequency transformer for LLC resonant converter based on finite element simulation[J]. Journal of Power Supply, 2025, 23(6): 23-31. (in Chinese)

[19]

谭玉彬. 平面小型化变压器的研究与设计[D]. 成都: 电子科技大学, 2021. Tan Yubin. Research and design of planar miniaturized transformer[D]. Chengdu: University of Electronic Science and Technology of China, 2021. (in Chinese)

2026年第24卷第2期

PDF下载

引用本文

BibTeX

文章信息

doi: 10.13234/j.issn.2095-2805.2026.2.10

接收时间：2023-06-07
首发时间：2026-10-29
出版时间：2026-02-28

补充材料

相关文章

文章信息

作者

出版历史

收稿日期：2023-06-07
修回日期：2023-09-18
录用日期：2023-10-20

基金

National Natural Science Foundation of China(62103109)

国家自然青年基金资助项目(62103109)

Guangzhou Science and Technology Planning Project(201802010045)

广州市科技计划资助项目(201802010045)

作者信息

^1.广东工业大学自动化学院，广州　510006

^2.国网宁夏电力有限公司中卫供电公司，中卫　755000

通讯作者:

谷爱昱（1970—　），女，通信作者，博士，教授。研究方向：电机及其系统控制，特种电磁装置。E-mail：guay@gdut.edu.cn。

参考文献

分享链接

https://castjournals.cast.org.cn/joweb/dyxb/CN/10.13234/j.issn.2095-2805.2026.2.10

分享至

全文二维码

扫描看全文

引用本文

BibTeX

本文的引用情况

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

关闭全屏

BibTeX
EndNote
RefWorks
TxT