Reliability analysis of discrete-time multi-state star configuration power grid systems with performance sharing

Reliability analysis of discrete-time multi-state star configuration power grid systems with performance sharing | 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 Reliability analysis of discrete-time multi-state star configuration power grid systems with performance sharing Peng Su, Keyong Zhang, Honghua Shi This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3917810/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 28 Feb, 2025 Read the published version in Soft Computing → Version 1 posted 4 You are reading this latest preprint version Abstract This paper studies an assessment method for dynamic reliability of a discrete time multi-state star configuration power grid system with performance sharing. The proposed star configuration power grid system consists of n power generation subsystems fixed in star-terminal and one central collection and redistribution subsystem. All-star-terminal power generation subsystems are connected to the central subsystem in a point-to-point manner through their intermediate transmission links. It is assumed that the electric power of each generator and the demand of each star-terminal subsystem are random variables. The star-terminal subsystems with sufficient electric power can first transmit the surplus electric power to the central subsystem, and then the collected electric power in central subsystem is further redistributed to the star-terminal subsystems which are experiencing electric power deficiency through the corresponded transmission links. This paper investigates the dynamic reliability of the proposed power grid system when the demands of all star-terminal subsystems are satisfied after performance sharing. An algorithm based on the universal generating function (UGF) technique is presented to evaluate the dynamic reliability of the proposed power grid system with performance sharing. Finally, a numerical example and a case study are used to illustrate the accuracy of the proposed model and method. multi-state power grid system performance sharing star topology configuration universal generating function reliability Full Text Cite Share Download PDF Status: Published Journal Publication published 28 Feb, 2025 Read the published version in Soft Computing → Version 1 posted Editorial decision: Major Revision 07 Apr, 2024 Reviewers agreed at journal 27 Mar, 2024 Reviewers invited by journal 27 Mar, 2024 First submitted to journal 31 Jan, 2024 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. 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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-3917810","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":284505658,"identity":"eae1b623-aa28-4492-9876-81db48dc42d5","order_by":0,"name":"Peng Su","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAwUlEQVRIiWNgGAWjYPACGwjFQ4KWNNK1HCZBi/yM3IOPC36dzzM4foDxwds2BnlzQloMbuQlG8/su11scCaB2XBuG4PhzgZCWiRyzKR5e24nbrjBwCbN28aQYHCAoMNyzH/z9pwDaWH/TZQWhhs5Zsw8Pw6AbWEmSovBmXfJ0rwNyYkzzyQ2S845J2G4gaDD2nMPfub5Y5fYd/zwwQ9vymzkCTsMFBeMbSAGYwOQkCCoHqKF4Q8xCkfBKBgFo2DEAgAEf0BUVzvBAgAAAABJRU5ErkJggg==","orcid":"https://orcid.org/0000-0003-4893-7129","institution":"North University of China School of Economics and Management","correspondingAuthor":true,"prefix":"","firstName":"Peng","middleName":"","lastName":"Su","suffix":""},{"id":284505659,"identity":"4fe63107-2e7f-4c8e-8e7b-4cd4a954db88","order_by":1,"name":"Keyong Zhang","email":"","orcid":"","institution":"North University of China School of Economics and Management","correspondingAuthor":false,"prefix":"","firstName":"Keyong","middleName":"","lastName":"Zhang","suffix":""},{"id":284505660,"identity":"d908e62c-e825-4215-b156-c3bded01bf32","order_by":2,"name":"Honghua Shi","email":"","orcid":"","institution":"North University of China School of Economics and Management","correspondingAuthor":false,"prefix":"","firstName":"Honghua","middleName":"","lastName":"Shi","suffix":""}],"badges":[],"createdAt":"2024-02-01 14:49:23","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3917810/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3917810/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s00500-025-10478-2","type":"published","date":"2025-02-28T15:57:29+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":77622472,"identity":"3fa455dd-062d-4fb1-9bc7-5cd9611db4a2","added_by":"auto","created_at":"2025-03-03 16:07:13","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":565639,"visible":true,"origin":"","legend":"","description":"","filename":"SuZhangShi2024.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3917810/v1_covered_798fb72c-5a4e-4523-946b-007b3f299fe9.pdf"}],"financialInterests":"","formattedTitle":"Reliability analysis of discrete-time multi-state star configuration power grid systems with performance sharing","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":true,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"soft-computing","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"soco","sideBox":"Learn more about [Soft Computing](https://www.springer.com/journal/500)","snPcode":"500","submissionUrl":"https://submission.nature.com/new-submission/500/3","title":"Soft Computing","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"multi-state power grid system, performance sharing, star topology configuration, universal generating function, reliability","lastPublishedDoi":"10.21203/rs.3.rs-3917810/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3917810/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThis paper studies an assessment method for dynamic reliability of a discrete time multi-state star configuration power grid system with performance sharing. The proposed star configuration power grid system consists of n power generation subsystems fixed in star-terminal and one central collection and redistribution subsystem. All-star-terminal power generation subsystems are connected to the central subsystem in a point-to-point manner through their intermediate transmission links. It is assumed that the electric power of each generator and the demand of each star-terminal subsystem are random variables. The star-terminal subsystems with sufficient electric power can first transmit the surplus electric power to the central subsystem, and then the collected electric power in central subsystem is further redistributed to the star-terminal subsystems which are experiencing electric power deficiency through the corresponded transmission links. This paper investigates the dynamic reliability of the proposed power grid system when the demands of all star-terminal subsystems are satisfied after performance sharing. An algorithm based on the universal generating function (UGF) technique is presented to evaluate the dynamic reliability of the proposed power grid system with performance sharing. 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