Stability analysis of catenary electric road system with variable stiffness and damping

Stability analysis of catenary electric road system with variable stiffness and damping | 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 Stability analysis of catenary electric road system with variable stiffness and damping Xiao Zhang, Xinjiang Lu This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6299123/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 Catenary electric road systems enable dynamic charging by powering pantograph-equipped trucks from the catenary. Nonlinear variation of the catenary stiffness and damping make the stability region of the pantograph-catenary system difficult to estimate. To alleviate this difficulty, an analytical-solution based stability analysis method is proposed for the pantograph-catenary system. First, it derives a pantograph-catenary vibration model with variable stiffness and damping. A solving method is then developed to obtain an analytical solution. Using this analytical solution, the condition for stability region is derived and the nonlinear vibration behavior is estimated. The analytical results are further verified using both simulations and experiments conducted under different vehicle speeds. Pantograph-catenary system Variable stiffness Variable damping Stability region Full Text Additional Declarations No competing interests reported. Supplementary Files Graphicalabstract.docx 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-6299123","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":441244082,"identity":"35f2fe2e-2b89-4f2f-99f1-eee9463b7c5a","order_by":0,"name":"Xiao Zhang","email":"","orcid":"","institution":"Central South University","correspondingAuthor":false,"prefix":"","firstName":"Xiao","middleName":"","lastName":"Zhang","suffix":""},{"id":441244083,"identity":"5589edd3-1e3c-45db-a38e-88bba2caa6ba","order_by":1,"name":"Xinjiang Lu","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAsElEQVRIiWNgGAWjYBACPiA2+ABhGxCnhQ2IDWeQrIWZhzQtEjkGxTY1dYkN7M3bJBhq7hCjJS3BOOfY4cQGnmNlEgzHnhGjJfmAcW7DgcQGiRwzCcaGw8RoSWwwtmwAOkz+DdFagLYwNjADbeEhVgvPswTDnmOHjdt40ootEo4RoYWfPcfM4EdNnWw/++GNNz7UEKEFZBE4PkARxJBAlAZgTD4gUuEoGAWjYBSMVAAADMwxAqPA7BEAAAAASUVORK5CYII=","orcid":"","institution":"Central South University","correspondingAuthor":true,"prefix":"","firstName":"Xinjiang","middleName":"","lastName":"Lu","suffix":""}],"badges":[],"createdAt":"2025-03-25 02:08:13","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6299123/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6299123/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":82395758,"identity":"89791f74-0a5b-48b9-9b43-b5c3c6cca329","added_by":"auto","created_at":"2025-05-09 20:16:30","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":563790,"visible":true,"origin":"","legend":"","description":"","filename":"Stabilityanalysisofcatenaryelectricroadsystemwithvariablestiffnessanddamping.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6299123/v1_covered_12896e5c-8b75-4f79-bd68-692bdcf8fe48.pdf"},{"id":81020882,"identity":"7141055f-2a97-4e7d-b82e-4e201e571c46","added_by":"auto","created_at":"2025-04-21 09:40:08","extension":"docx","order_by":0,"title":"","display":"","copyAsset":false,"role":"supplement","size":1445922,"visible":true,"origin":"","legend":"","description":"","filename":"Graphicalabstract.docx","url":"https://assets-eu.researchsquare.com/files/rs-6299123/v1/a32b827dd80002de9faa011e.docx"}],"financialInterests":"No competing interests reported.","formattedTitle":"Stability analysis of catenary electric road system with variable stiffness and damping","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":"Pantograph-catenary system, Variable stiffness, Variable damping, Stability region","lastPublishedDoi":"10.21203/rs.3.rs-6299123/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6299123/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eCatenary electric road systems enable dynamic charging by powering pantograph-equipped trucks from the catenary. 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