NDLI: Approximate Closed-Form Formula for Calculating Ohmic Resistance in Coils of Parallel Round Wires With Unequal Pitches

Content Provider	IEEE Xplore Digital Library
Author	Jinwook Kim Young-Jin Park
Copyright Year	1982
Abstract	An approximate closed-form formula for calculating the ohmic resistance of a circular multiloop coil with unequal pitches is presented. Skin effect and proximity effect are included in the formula. The proximity effect is expressed as a proximity factor obtained using transverse magnetic fields applied to a wire from the rest of the wires. For verification, the optimum dimension for minimum resistance of wires with an equal pitch is compared with the previous results, and both results agree. The formula is applied to calculate the ohmic resistance of helical and spiral coils and is verified by a 2-D finite-element-method simulation. Both calculation and simulation results are consistent as well. As a practical application, a spiral coil with unequal pitches is designed for uniform mutual inductance, and it is optimized for the lowest resistance using the formula. The measured ohmic resistance of the designed coil also agrees with the calculated and simulated results. The results show that the formula can be well applied to designing circular multiloop coils with minimum ohmic loss in wireless-power-transfer systems.
Sponsorship	IEEE Industrial Electronics Society
Starting Page	3482
Ending Page	3489
Page Count	8
File Size	1755269
File Format	PDF
ISSN	02780046
Volume Number	62
Issue Number	6
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Wires Coils Resistance Proximity effects Magnetic fields Skin Electrical resistance measurement wireless power transfer Multi-loop coil ohmic resistance parallel round wires proximity effect skin effect wireless power transfer (WPT) Multiloop coil
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Electrical and Electronic Engineering Computer Science Applications

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