Single-phase transformer modeling taking into account the characteristics of the magnetic core

Single-phase transformer modeling taking into account the characteristics of the magnetic core | 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 Single-phase transformer modeling taking into account the characteristics of the magnetic core NANA Bonaventure, ZAMBO Marcelle, WOAFO Paul This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7097078/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 This paper describes the modeling of an electrical transformer taking into account the saturation of the magnetic core material. Our transformer model is described by two coupled nonlinear differential equations and presents advantages because the entire magnetizing characteristics can be directly obtained from only three measured values (Saturation flux density, remanence flux density, and coercive magnetic field). In the second part of the work, the model has been used to simulate three different transformers namely a power transformer, a distribution transformer, and a small transformer. The simulated results are in excellent agreement with the values provided by the manufacturers. For more verification, the dynamics of an RLC series circuit containing a small transformer are investigated theoretically and experimentally in the last part. The circuit provides regular and chaotic regimes when supplied with a square voltage source. An excellent agreement is found between our numerical results and experimental ones. Electrical transformer saturation flux nonlinear coercive chaos 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-7097078","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":491959696,"identity":"db6fa55d-2ec3-4247-ab74-67118cd80fd8","order_by":0,"name":"NANA Bonaventure","email":"","orcid":"","institution":"University of Bamenda","correspondingAuthor":false,"prefix":"","firstName":"NANA","middleName":"","lastName":"Bonaventure","suffix":""},{"id":491959697,"identity":"80ca0ce1-3a65-4d72-99ff-23a1d4ccd5ba","order_by":1,"name":"ZAMBO Marcelle","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABA0lEQVRIiWNgGAWjYNCCAgsGBmYg/YHHBkgyNh4grMVAAqyFcYZMGkhLA5FagICZx+YwmIFXi2772YcfPhhIyJmz8x78OCPnvN3a9sNAW2psonFpMTuTbiw5w0DC2LKZL1niw5nbydvOJAK1HEvLbcCl5UAaGzOPgUTihsM8BpIze24nmx0AamFsOIxby/lnbMx/DCTqgVqMf/P+O5dsdv4hAS03gLYAvZ9gcJjHTJqH54Cd2Q1Cttx4xizZYyBhCLTFzHIGT3KC2Q2gLQn4/HI+jfHDjwobeYPzZ4xvfOCxszc7n/7wwYcaG5xaMEAiWGUCscpBwJ4UxaNgFIyCUTAyAAByDV9fqqxItAAAAABJRU5ErkJggg==","orcid":"","institution":"University of Bamenda","correspondingAuthor":true,"prefix":"","firstName":"ZAMBO","middleName":"","lastName":"Marcelle","suffix":""},{"id":491959698,"identity":"903d0ee1-58c4-4f93-a567-c71648207c04","order_by":2,"name":"WOAFO Paul","email":"","orcid":"","institution":"University of Yaoundé I","correspondingAuthor":false,"prefix":"","firstName":"WOAFO","middleName":"","lastName":"Paul","suffix":""}],"badges":[],"createdAt":"2025-07-11 02:53:11","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-7097078/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-7097078/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":92406343,"identity":"5752ffe8-0afc-4bdf-95ab-6575a7c50e38","added_by":"auto","created_at":"2025-09-29 11:17:21","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":20064359,"visible":true,"origin":"","legend":"","description":"","filename":"TRANSFORMERS.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7097078/v1_covered_2afe13da-fbe8-424d-a3ee-06451da68b2f.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Single-phase transformer modeling taking into account the characteristics of the magnetic core","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Electrical transformer, saturation flux, nonlinear, coercive, chaos","lastPublishedDoi":"10.21203/rs.3.rs-7097078/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7097078/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"This paper describes the modeling of an electrical transformer taking into account the saturation of the magnetic core material. 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