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Paper Abstract and Keywords
Presentation 2025-03-10 16:25
Derivation of Extended ηmax kQ Theoretical Formula for Wireless Power Transfer using Multiple Cascaded Magnetic Coupling Relay Coils and Consideration of Efficiency and Power Characteristics for Placement and Number of Coils
Hideaki Abe WPT2024-51
Abstract (in Japanese) (See Japanese page) 
(in English) In magnetic coupling wireless power transfer, the ηmax kQ theoretical formula that indicates maximum transmission efficiency is very useful. This is a theoretical formula when there is one pair of transmitting and receiving coils. Author hypothesized a similar theoretical formula would also hold for multiple magnetic coupling. Already attempted to construct an extended ηmax kQ theoretical formula for 1:many and many:1 transmitting and receiving coils, and identified a formula that matches the theoretical value under limited conditions. In this study, conducted a detailed investigation of the efficiency characteristics, load voltage, and load power characteristics in relation to the arrangement position and number of repeater coils in a repeater coil array method. As a result, it was able to identify an extended ηmax kQ theoretical formula that is close to the true value from the efficiency characteristics. Then, gained some interesting knowledge into the efficiency, load voltage, and load power characteristics in relation to the arrangement position and number of repeater coils.
Keyword (in Japanese) (See Japanese page) 
(in English) Wireless Power Transfer / kQ Product Theory / ηmax kQ Theoretical Formula / Extended ηmax kQ Theoretical Formula / Multi-Relay Coil Magnetic Coupling / / /  
Reference Info. IEICE Tech. Rep., vol. 124, no. 427, WPT2024-51, pp. 61-66, March 2025.
Paper # WPT2024-51 
Date of Issue 2025-03-03 (WPT) 
ISSN Online edition: ISSN 2432-6380
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All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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Conference Information
Committee WPT  
Conference Date 2025-03-10 - 2025-03-11 
Place (in Japanese) (See Japanese page) 
Place (in English) Kyoto-Univ. (Uji campus) 
Topics (in Japanese) (See Japanese page) 
Topics (in English) SSPS Technology, General WPT 
Paper Information
Registration To WPT 
Conference Code 2025-03-WPT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Derivation of Extended ηmax kQ Theoretical Formula for Wireless Power Transfer using Multiple Cascaded Magnetic Coupling Relay Coils and Consideration of Efficiency and Power Characteristics for Placement and Number of Coils 
Sub Title (in English)  
Keyword(1) Wireless Power Transfer  
Keyword(2) kQ Product Theory  
Keyword(3) ηmax kQ Theoretical Formula  
Keyword(4) Extended ηmax kQ Theoretical Formula  
Keyword(5) Multi-Relay Coil Magnetic Coupling  
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1st Author's Name Hideaki Abe  
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Speaker Author-1 
Date Time 2025-03-10 16:25:00 
Presentation Time 25 minutes 
Registration for WPT 
Paper # WPT2024-51 
Volume (vol) vol.124 
Number (no) no.427 
Page pp.61-66 
#Pages
Date of Issue 2025-03-03 (WPT) 


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