Study on Frequency Tracking and Active Rectifier Constant Voltage Output of Full Digital Phase-Locked Loop for Wireless Power Transmission System | 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 Study on Frequency Tracking and Active Rectifier Constant Voltage Output of Full Digital Phase-Locked Loop for Wireless Power Transmission System Yongxiu Zhao, Mengxiang Wei, Longji Zhu, Haoyang Jia, Yi Zhang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6802729/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 09 Apr, 2026 Read the published version in Electrical Engineering → Version 1 posted 13 You are reading this latest preprint version Abstract Frequency tracking is one of the effective solutions to improve the transmission efficiency and output power of Magnetically Coupled Resonant Wireless Power Transmission (MCR-WPT) systems. Investigating the detuning control strategies is crucial for enhancing the transmission performance of WPT systems. Therefore, an equivalent circuit model of the MCR-WPT system is established for the SS topology, and the mathematical expressions for the output power and transmission efficiency of the MCR-WPT system were derived. The voltage and current equations of the WPT transmitter and receiver are established, and the system impedance angle expressions are solved. The effects of frequency offset, impedance change, coil axial offset, radial offset and angular offset on the system impedance angle are explored through numerical solutions. Based on this, a frequency tracking control strategy of differential phase identification digital phase-locked loop was proposed. In view of the constant voltage output for MCR-WPT system, a constant voltage output control strategy based on half-controlled active rectifier was proposed. Finally, an experimental platform was built to verify the correctness of the proposed control strategy. Frequency tracking Coil offset Constant voltage output Semi-controlled rectifier Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 09 Apr, 2026 Read the published version in Electrical Engineering → Version 1 posted Editorial decision: Revision requested 29 Oct, 2025 Reviews received at journal 09 Oct, 2025 Reviews received at journal 06 Oct, 2025 Reviewers agreed at journal 29 Sep, 2025 Reviewers agreed at journal 27 Sep, 2025 Reviewers agreed at journal 27 Sep, 2025 Reviewers agreed at journal 27 Sep, 2025 Reviews received at journal 27 Sep, 2025 Reviewers agreed at journal 27 Sep, 2025 Reviewers invited by journal 27 Sep, 2025 Editor assigned by journal 05 Jun, 2025 Submission checks completed at journal 03 Jun, 2025 First submitted to journal 02 Jun, 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-6802729","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":525732009,"identity":"d3990775-bcfd-4bb0-aaa1-c1501b9a9fc0","order_by":0,"name":"Yongxiu Zhao","email":"","orcid":"","institution":"Xi'an University of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"Yongxiu","middleName":"","lastName":"Zhao","suffix":""},{"id":525732010,"identity":"4a768a80-3d12-4e41-a215-db60750c5e29","order_by":1,"name":"Mengxiang 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