Two-dimensional magnetic circuit modeling and frequency domain calculation method for transformer cores considering the effect of air gap

Two-dimensional magnetic circuit modeling and frequency domain calculation method for transformer cores considering the effect of air gap | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Two-dimensional magnetic circuit modeling and frequency domain calculation method for transformer cores considering the effect of air gap Haitao Yang, Chenchen Zhang, Guocheng Ding, Shudong Wang, Wei Liu, and 6 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6699223/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract The lapped area of transformer core is an important source of transformer vibration and noise due to the presence of air gap resulting in structural discontinuity and complex distortion of magnetic field characteristics. In this paper, through the refinement of the magnetic density distribution characteristics of the core lapped area, the two-port equivalent reluctance of the lapped area considering the air gap is established, which is applied to the magnetic circuit model of single-phase three-pillar transformer core, and solved in the frequency domain based on the harmonic balance theory. Finally, a laminated core test platform is constructed, and the experimental data and calculation results are compared and verified, and the results show that the excitation current, core magnetism and the measurement results are in good agreement with each other, and the error is less than 5%. This paper is of great significance for improving the accuracy of the study of the internal magnetic characteristics of transformer cores. Power transformer Electromagnetic coupling Harmonic balance method Transformer core Air gap Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-6699223","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":484715052,"identity":"323f5610-0e51-458b-a98e-6a98a8b8b9cd","order_by":0,"name":"Haitao Yang","email":"","orcid":"","institution":"Research Institute of Electric Power Science, State Grid Anhui Electric Power Co., Ltd, Hefei 230601, Anhui, China","correspondingAuthor":false,"prefix":"","firstName":"Haitao","middleName":"","lastName":"Yang","suffix":""},{"id":484715053,"identity":"df9a92cb-f90d-4154-8253-a5359db2c3c5","order_by":1,"name":"Chenchen 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In this paper, through the refinement of the magnetic density distribution characteristics of the core lapped area, the two-port equivalent reluctance of the lapped area considering the air gap is established, which is applied to the magnetic circuit model of single-phase three-pillar transformer core, and solved in the frequency domain based on the harmonic balance theory. Finally, a laminated core test platform is constructed, and the experimental data and calculation results are compared and verified, and the results show that the excitation current, core magnetism and the measurement results are in good agreement with each other, and the error is less than 5%. 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