Multivector Model Predictive Control for MultiphaseInduction Machines with Dead-Time Knowledge | 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 Article Multivector Model Predictive Control for MultiphaseInduction Machines with Dead-Time Knowledge Manuel Cordoba-Ramos, Rafael Lara-Lopez, Juan Carrillo-Rios, Ignacio Gonzalez-Prieto, and 4 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7923350/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 07 Apr, 2026 Read the published version in Scientific Reports → Version 1 posted 11 You are reading this latest preprint version Abstract As requirements in the field of energy efficiency and transport have become more demanding, multiphase technology hasbegun to emerge in commercial applications in order to meet these demands. In terms of multiphase electric drive regulation,model predictive control has gained traction thanks to its fast dynamic response, flexibility and easy control design. Furthermore,the development of implicit modulators such as multivector solutions has provided these schemes with competitive currentquality results. However, the use of higher sampling frequencies in the pursuit of an improved performance presents a blindspot for these control solutions. More concretely, the dead time of voltage source converters (VSCs) has an increasing impacton multiphase electric drives as the sampling frequency becomes higher. The present work first analyses how this phenomenonaffects the uniquely available subspaces which characterize multiphase systems. Following these results, dead-time informationis added in a multivector predictive scheme and the the cost function is reformulated to mitigate its impact. Different operatingmetrics have been employed to illustrate the effectiveness of the proposed algorithm to increase current quality in a six-phasedrive when dead-time effect appears. Physical sciences/Energy science and technology Physical sciences/Engineering Physical sciences/Mathematics and computing Full Text Additional Declarations No competing interests reported. Supplementary Files DIEMPC.pdf DIETemplateforsubmissionstoScientificReports.pdf Cite Share Download PDF Status: Published Journal Publication published 07 Apr, 2026 Read the published version in Scientific Reports → Version 1 posted Editorial decision: Revision requested 23 Feb, 2026 Reviews received at journal 21 Feb, 2026 Reviewers agreed at journal 10 Feb, 2026 Reviews received at journal 26 Nov, 2025 Reviewers agreed at journal 18 Nov, 2025 Reviewers agreed at journal 15 Nov, 2025 Reviewers invited by journal 10 Nov, 2025 Editor assigned by journal 10 Nov, 2025 Editor invited by journal 04 Nov, 2025 Submission checks completed at journal 03 Nov, 2025 First submitted to journal 03 Nov, 2025 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-7923350","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":546727126,"identity":"4f295a05-1dfb-40a3-9e0c-849a0c7455b4","order_by":0,"name":"Manuel Cordoba-Ramos","email":"","orcid":"","institution":"University of Malaga","correspondingAuthor":false,"prefix":"","firstName":"Manuel","middleName":"","lastName":"Cordoba-Ramos","suffix":""},{"id":546727127,"identity":"5e001239-af9d-4420-99b8-e545e722a644","order_by":1,"name":"Rafael Lara-Lopez","email":"","orcid":"","institution":"University of Malaga","correspondingAuthor":false,"prefix":"","firstName":"Rafael","middleName":"","lastName":"Lara-Lopez","suffix":""},{"id":546727128,"identity":"64afc549-e805-450c-8c40-52086ebf6f42","order_by":2,"name":"Juan Carrillo-Rios","email":"","orcid":"","institution":"University of Malaga","correspondingAuthor":false,"prefix":"","firstName":"Juan","middleName":"","lastName":"Carrillo-Rios","suffix":""},{"id":546727129,"identity":"dcb9bff0-c898-4324-9936-68eab5bdf83c","order_by":3,"name":"Ignacio Gonzalez-Prieto","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAj0lEQVRIiWNgGAWjYBACNgYGxgcka2E2IN0iCdLU8/GvPVbNm2PHwM9/gGgr3qXd5t2WzCA5I4FoLWfMgFqYGQxuEOswkJZi3m31DPbniXYYf48ZM++2wwwGDMQ7jC9Zcu624zwSN4jVIt9/9uCHt9uq5fj7iXUYg0QOmOIhVj0Q8J8hQfEoGAWjYBSMTAAAwmIhDpAFcLIAAAAASUVORK5CYII=","orcid":"","institution":"University of Malaga","correspondingAuthor":true,"prefix":"","firstName":"Ignacio","middleName":"","lastName":"Gonzalez-Prieto","suffix":""},{"id":546727133,"identity":"f3f983c4-2206-4594-9b16-a69a5bde1f90","order_by":4,"name":"Mario J. Duran","email":"","orcid":"","institution":"University of Malaga","correspondingAuthor":false,"prefix":"","firstName":"Mario","middleName":"J.","lastName":"Duran","suffix":""},{"id":546727138,"identity":"5c0b1979-7f42-4e71-a503-a8756dc3d455","order_by":5,"name":"Juan José Aciego","email":"","orcid":"","institution":"University of Malaga","correspondingAuthor":false,"prefix":"","firstName":"Juan","middleName":"José","lastName":"Aciego","suffix":""},{"id":546727139,"identity":"bb52fdf9-521d-4df0-ba4d-6c3e957ca647","order_by":6,"name":"Pablo Mora-Moreno","email":"","orcid":"","institution":"University of Malaga","correspondingAuthor":false,"prefix":"","firstName":"Pablo","middleName":"","lastName":"Mora-Moreno","suffix":""},{"id":546727140,"identity":"0b155a4e-db99-44e1-b11e-d7eb07f16a7c","order_by":7,"name":"Angel Gonzalez-Prieto","email":"","orcid":"","institution":"Technical University of Madrid","correspondingAuthor":false,"prefix":"","firstName":"Angel","middleName":"","lastName":"Gonzalez-Prieto","suffix":""}],"badges":[],"createdAt":"2025-10-22 12:08:27","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-7923350/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-7923350/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1038/s41598-026-46936-6","type":"published","date":"2026-04-07T15:58:16+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":96259741,"identity":"a001dc85-0bfc-44bf-87ba-6da8bc333c7c","added_by":"auto","created_at":"2025-11-19 07:56:02","extension":"json","order_by":0,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":8653,"visible":true,"origin":"","legend":"","description":"","filename":"39ab564c2b404aebb0bad85a8f6ae5f1.json","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/27f69b57f2fe53fc89e02ca1.json"},{"id":96260003,"identity":"b672b1db-cd29-4085-bf06-a4d28fe33548","added_by":"auto","created_at":"2025-11-19 07:56:16","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":136473,"visible":true,"origin":"","legend":"","description":"","filename":"Bancada.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/1985b388c5953675bbb686fe.pdf"},{"id":96259803,"identity":"caeeb5e0-bc44-47c0-93af-fef21e0f81dd","added_by":"auto","created_at":"2025-11-19 07:56:07","extension":"pdf","order_by":2,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":284274,"visible":true,"origin":"","legend":"","description":"","filename":"ComparacionCorrientes500rpm.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/c56bf99a03dd555aabe8d976.pdf"},{"id":96259810,"identity":"5706bfab-3036-4b90-9be9-cc53c9be73f2","added_by":"auto","created_at":"2025-11-19 07:56:08","extension":"pdf","order_by":3,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":313863,"visible":true,"origin":"","legend":"","description":"","filename":"ComparacionCorrientes800rpm.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/97c2d6afa6d899f222b59b5c.pdf"},{"id":96259614,"identity":"ca438baf-74f5-4750-8a73-c1c09b421fe2","added_by":"auto","created_at":"2025-11-19 07:55:59","extension":"pdf","order_by":4,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":59821,"visible":true,"origin":"","legend":"","description":"","filename":"Coverletterdie.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/3543e248f4fe53bb178f8be8.pdf"},{"id":96259581,"identity":"bd7aac79-e3fd-41dc-9062-cb0ac62fcae4","added_by":"auto","created_at":"2025-11-19 07:55:55","extension":"pdf","order_by":5,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":2257607,"visible":true,"origin":"","legend":"","description":"","filename":"DIEMPC.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/330181ff287449661163d4be.pdf"},{"id":96259767,"identity":"2390fb8e-4fc0-406d-828e-a38c75669565","added_by":"auto","created_at":"2025-11-19 07:56:04","extension":"pdf","order_by":6,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":2257895,"visible":true,"origin":"","legend":"","description":"","filename":"DIETemplateforsubmissionstoScientificReports.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/e8353a0b09f9a3d9b3865851.pdf"},{"id":96259812,"identity":"5e671c24-4409-4eb6-87d1-2382653ca81f","added_by":"auto","created_at":"2025-11-19 07:56:09","extension":"pdf","order_by":7,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":2257809,"visible":true,"origin":"","legend":"","description":"","filename":"DIETemplateforsubmissionstoScientificReportseditorversion.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/6bc48344bda7eaa082589be5.pdf"},{"id":96259805,"identity":"b5e6c2a1-c866-49d2-819a-05fde285b580","added_by":"auto","created_at":"2025-11-19 07:56:07","extension":"pdf","order_by":8,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":332950,"visible":true,"origin":"","legend":"","description":"","filename":"Dinamico.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/a62fc9a161ba389cd918d2be.pdf"},{"id":96259735,"identity":"fb8b4399-b82b-4e46-aed2-bc6e98646325","added_by":"auto","created_at":"2025-11-19 07:56:02","extension":"pdf","order_by":9,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":339346,"visible":true,"origin":"","legend":"","description":"","filename":"DinamicovNature.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/ee0d960f50a630be6e96ada2.pdf"},{"id":96259758,"identity":"d5aaba2b-7ab8-4b8b-8f19-7ee4b0e00494","added_by":"auto","created_at":"2025-11-19 07:56:03","extension":"pdf","order_by":10,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":57306,"visible":true,"origin":"","legend":"","description":"","filename":"Editorreply.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/90023094362eda8b0a57bd74.pdf"},{"id":96259757,"identity":"41af6ca1-41ce-4868-8380-bfec1d4cc294","added_by":"auto","created_at":"2025-11-19 07:56:03","extension":"pdf","order_by":11,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":76348,"visible":true,"origin":"","legend":"","description":"","filename":"ErrorPU.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/b85f795391237e14845f15f0.pdf"},{"id":96259734,"identity":"4271ff6e-6c13-45e1-a74f-4951a5dc7b2a","added_by":"auto","created_at":"2025-11-19 07:56:02","extension":"pdf","order_by":12,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":76906,"visible":true,"origin":"","legend":"","description":"","filename":"EvolucionCorrientes3.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/5929d850929f384e130a64aa.pdf"},{"id":96260121,"identity":"0943a604-08bc-4ce7-9071-ad12bf5aa1d3","added_by":"auto","created_at":"2025-11-19 07:56:23","extension":"pdf","order_by":13,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":95282,"visible":true,"origin":"","legend":"","description":"","filename":"EvolucionCorrientesNature.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/01bbaf9739e519b048dc48f9.pdf"},{"id":96259867,"identity":"24207ccd-d7bf-4582-9b51-d239565a1e97","added_by":"auto","created_at":"2025-11-19 07:56:12","extension":"pdf","order_by":14,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":99921,"visible":true,"origin":"","legend":"","description":"","filename":"FlowChartDefinitivocropped.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/9a936b1ab0bf4af47b1d71ee.pdf"},{"id":96260061,"identity":"3813283d-54d1-47b6-bf01-b8853657bcb8","added_by":"auto","created_at":"2025-11-19 07:56:20","extension":"pdf","order_by":15,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":11363,"visible":true,"origin":"","legend":"","description":"","filename":"InverterLegsFlowChartSdt.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/18fbb6d9d42b6d3336ac8919.pdf"},{"id":96259737,"identity":"27e4bbc7-2a6e-4cbc-9805-1b7692f63225","added_by":"auto","created_at":"2025-11-19 07:56:02","extension":"pdf","order_by":16,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":109039,"visible":true,"origin":"","legend":"","description":"","filename":"InverterLegsFlowChartSdtNature.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/7bd9aac702f0fdd02e1d1587.pdf"},{"id":96259809,"identity":"c817f30b-08da-48c4-8788-d6d76e7789c4","added_by":"auto","created_at":"2025-11-19 07:56:08","extension":"pdf","order_by":17,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":39080,"visible":true,"origin":"","legend":"","description":"","filename":"MapeoVV3.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/302cac7d4097da3cc8d1ea49.pdf"},{"id":96259818,"identity":"7e21719b-26bc-4936-816e-1abaffcf64de","added_by":"auto","created_at":"2025-11-19 07:56:10","extension":"pdf","order_by":18,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":69288,"visible":true,"origin":"","legend":"","description":"","filename":"MapeoVVNature.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/8a16a4df1f860e02b7f1779c.pdf"},{"id":96259575,"identity":"558bd725-f807-4014-a181-a1bc2cfdd726","added_by":"auto","created_at":"2025-11-19 07:55:55","extension":"pdf","order_by":19,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":513886,"visible":true,"origin":"","legend":"","description":"","filename":"ResultadosKxy3.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/ed11e8ec1d46f6ae4b1a6ae3.pdf"},{"id":96260033,"identity":"b49ccbb8-d8dd-4490-8bf9-ada2aa5bbd59","added_by":"auto","created_at":"2025-11-19 07:56:19","extension":"pdf","order_by":20,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":229341,"visible":true,"origin":"","legend":"","description":"","filename":"Resultados500rpm.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/481c3284325bcbc3e5a2795f.pdf"},{"id":96259761,"identity":"86f6689f-e4b6-4c9a-a810-aeb6e6eb37f1","added_by":"auto","created_at":"2025-11-19 07:56:03","extension":"pdf","order_by":21,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":232669,"visible":true,"origin":"","legend":"","description":"","filename":"Resultados800rpm.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/82d768546c94cd4919f2373d.pdf"},{"id":96259611,"identity":"c1b2204f-8159-4873-b86b-c689a222b389","added_by":"auto","created_at":"2025-11-19 07:55:59","extension":"pdf","order_by":22,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":64111,"visible":true,"origin":"","legend":"","description":"","filename":"SWstates.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/f5e23a63304bb5f7390be15c.pdf"},{"id":96259708,"identity":"dc653d18-3418-450b-b3d0-6fe0e913180d","added_by":"auto","created_at":"2025-11-19 07:56:01","extension":"pdf","order_by":23,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":61421,"visible":true,"origin":"","legend":"","description":"","filename":"TopologiaV2.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/fbab5bc87ca5bb829090c49e.pdf"},{"id":96259798,"identity":"a61bcd6b-6661-47d2-a315-d47c31469a94","added_by":"auto","created_at":"2025-11-19 07:56:06","extension":"pdf","order_by":24,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":8595,"visible":true,"origin":"","legend":"","description":"","filename":"VectorResultante6.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/776d5f1c4582d22d3a8421fa.pdf"},{"id":96363636,"identity":"32117903-df66-4cd5-97b7-e1ef96b5b17e","added_by":"auto","created_at":"2025-11-20 10:07:36","extension":"ldf","order_by":25,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":49107,"visible":true,"origin":"","legend":"","description":"","filename":"jabbrvltwaall.ldf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/0fa8e3b8ece121e13b491502.ldf"},{"id":96260036,"identity":"02c85a6e-f1ce-4e21-acc2-d73ffd7fa47e","added_by":"auto","created_at":"2025-11-19 07:56:19","extension":"ldf","order_by":26,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":268657,"visible":true,"origin":"","legend":"","description":"","filename":"jabbrvltwaen.ldf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/b394ea4db82525b7e958fe92.ldf"},{"id":96363414,"identity":"d00bfbfd-6e11-4652-bc32-c08aa02e883c","added_by":"auto","created_at":"2025-11-20 10:06:44","extension":"sty","order_by":27,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":15480,"visible":true,"origin":"","legend":"","description":"","filename":"jabbrv.sty","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/573fb2f425a9596623c89595.sty"},{"id":96259710,"identity":"6eeecacd-b7d4-4622-995a-351a3afa4658","added_by":"auto","created_at":"2025-11-19 07:56:02","extension":"bst","order_by":28,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":36153,"visible":true,"origin":"","legend":"","description":"","filename":"naturemagdoi.bst","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/77127434a1794de963192c9b.bst"},{"id":96259804,"identity":"1e4d7fd9-aac6-4fa2-af73-03c90083ba7c","added_by":"auto","created_at":"2025-11-19 07:56:07","extension":"cls","order_by":29,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":5844,"visible":true,"origin":"","legend":"","description":"","filename":"wlscirep.cls","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/c3bcd148e819d8aa97ce1257.cls"},{"id":96260069,"identity":"39d6cc0e-551d-4f7e-a2a2-f13335eefaad","added_by":"auto","created_at":"2025-11-19 07:56:20","extension":"xml","order_by":30,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":106381,"visible":true,"origin":"","legend":"","description":"","filename":"39ab564c2b404aebb0bad85a8f6ae5f11structuring.xml","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/7ddd33e4ef72307df67aa21e.xml"},{"id":106809162,"identity":"82953733-132b-4b39-8caf-0d56fce77384","added_by":"auto","created_at":"2026-04-13 16:07:23","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":2171111,"visible":true,"origin":"","legend":"","description":"","filename":"DIETemplateforsubmissionstoScientificReportseditorversion.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1_covered_96317db8-f880-4a90-ac67-cc161147a03d.pdf"},{"id":96259852,"identity":"99498a2e-be01-4412-9018-c4daf064d7d5","added_by":"auto","created_at":"2025-11-19 07:56:12","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"supplement","size":2257607,"visible":true,"origin":"","legend":"","description":"","filename":"DIEMPC.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/c5d26bd9a600f8f89e89927c.pdf"},{"id":96259579,"identity":"9cf41b59-5a56-4902-8e20-0e0d2d7fe2db","added_by":"auto","created_at":"2025-11-19 07:55:55","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"supplement","size":2257895,"visible":true,"origin":"","legend":"","description":"","filename":"DIETemplateforsubmissionstoScientificReports.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7923350/v1/f090facc92b6448ae2adf214.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Multivector Model Predictive Control for MultiphaseInduction Machines with Dead-Time Knowledge","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":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"
[email protected]","identity":"scientific-reports","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"scirep","sideBox":"Learn more about [Scientific Reports](http://www.nature.com/srep/)","snPcode":"","submissionUrl":"","title":"Scientific Reports","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Scientific Reports","inReviewEnabled":true,"inReviewRevisionsEnabled":true},"keywords":"","lastPublishedDoi":"10.21203/rs.3.rs-7923350/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7923350/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"As requirements in the field of energy efficiency and transport have become more demanding, multiphase technology hasbegun to emerge in commercial applications in order to meet these demands. In terms of multiphase electric drive regulation,model predictive control has gained traction thanks to its fast dynamic response, flexibility and easy control design. Furthermore,the development of implicit modulators such as multivector solutions has provided these schemes with competitive currentquality results. However, the use of higher sampling frequencies in the pursuit of an improved performance presents a blindspot for these control solutions. More concretely, the dead time of voltage source converters (VSCs) has an increasing impacton multiphase electric drives as the sampling frequency becomes higher. The present work first analyses how this phenomenonaffects the uniquely available subspaces which characterize multiphase systems. Following these results, dead-time informationis added in a multivector predictive scheme and the the cost function is reformulated to mitigate its impact. Different operatingmetrics have been employed to illustrate the effectiveness of the proposed algorithm to increase current quality in a six-phasedrive when dead-time effect appears.","manuscriptTitle":"Multivector Model Predictive Control for MultiphaseInduction Machines with Dead-Time Knowledge","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-11-19 07:43:58","doi":"10.21203/rs.3.rs-7923350/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Revision requested","date":"2026-02-23T13:24:44+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2026-02-21T18:46:26+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"63615235727157975162455973278400284983","date":"2026-02-10T12:49:27+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-11-26T06:46:29+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"176991524086865327860029092814746394137","date":"2025-11-18T06:06:34+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"144185644425727800884680962035673289871","date":"2025-11-15T07:53:50+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2025-11-10T07:20:39+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2025-11-10T07:11:03+00:00","index":"","fulltext":""},{"type":"editorInvited","content":"","date":"2025-11-04T07:25:52+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2025-11-03T17:47:06+00:00","index":"","fulltext":""},{"type":"submitted","content":"Scientific Reports","date":"2025-11-03T13:51:08+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"
[email protected]","identity":"scientific-reports","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"scirep","sideBox":"Learn more about [Scientific Reports](http://www.nature.com/srep/)","snPcode":"","submissionUrl":"","title":"Scientific Reports","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Scientific Reports","inReviewEnabled":true,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"725f814b-de3d-457b-83d5-2166ed8f190c","owner":[],"postedDate":"November 19th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[{"id":58160878,"name":"Physical sciences/Energy science and technology"},{"id":58160879,"name":"Physical sciences/Engineering"},{"id":58160880,"name":"Physical sciences/Mathematics and computing"}],"tags":[],"updatedAt":"2026-04-13T16:03:51+00:00","versionOfRecord":{"articleIdentity":"rs-7923350","link":"https://doi.org/10.1038/s41598-026-46936-6","journal":{"identity":"scientific-reports","isVorOnly":false,"title":"Scientific Reports"},"publishedOn":"2026-04-07 15:58:16","publishedOnDateReadable":"April 7th, 2026"},"versionCreatedAt":"2025-11-19 07:43:58","video":"","vorDoi":"10.1038/s41598-026-46936-6","vorDoiUrl":"https://doi.org/10.1038/s41598-026-46936-6","workflowStages":[]},"version":"v1","identity":"rs-7923350","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-7923350","identity":"rs-7923350","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}
Text is read by the "Ask this paper" AI Q&A widget below.
Extraction quality varies by source — PMC NXML preserves structure
cleanly, OA-HTML may include some navigation residue, and OA-PDF can
have broken hyphenation. The publisher copy
(via DOI)
is the canonical version.