Abstract
The Dowell and Ferreira calculation methods for the loss resistance of choke windings are analyzed in this paper. We determine that the neglect of the winding geometry influence is the cause of their error, because the problem is solved on a plane. The influence of winding geometrical parameters on current distribution in conductors is investigated for verification. The influence of single layer winding geometry on loss resistance for conductors of different diameters is considered. It is determined that the influence of winding geometry on the loss resistance is significant (up to 40%), and it increases with increasing conductor diameter and frequency, and decreasing coil diameter. There is non-uniformity in current distribution of coiled into a ring conductor caused by proximity effect. The influence of inter-winding distance for a single layer winding on its loss resistance is studied. The influence of interturn proximity effect is significant and increases with decreasing inter-winding distance. The reason for discrepancy with known methods is the non-uniformity of current distribution in the outer and inner turns. The peculiarities of current distribution in square cross-section conductors and equivalent in area cylindrical conductors presented as straight single conductors, single turns, and single layer windings are considered. The influence of the conductor shape on current distribution and its density are determined.
References
C. K. Alexander, M. N. O. Sadiku, Fundamentals of Electric Circuits (McGraw-Hill, New York, NY, 2009).
M. Kazimierczuk, High-Frequency Magnetic Components (Wiley, 2013). DOI: https://doi.org/10.1002/9781118717806.
G. Bocock, Essential Guide to Power Supplies (XP Power, [no info], 2014).
C. W. T. McLyman, Transformer and Inductor Design Handbook (CRC Press, New York, 2004). DOI: https://doi.org/10.1201/9780203913598.
K. Jensen, "Liz wire: Practical design consideration for today`s high frequency application," in Power Magnetics & High Frequency Workshop (2020). URI: https://www.psma.com/sites/default/files/uploads/files/Litz Wire Practical Design Considerations for Todays HF Applications Jensen%2C Rubadue.pdf.
V. I. Siforov, Radio Receiving Devices (Military Publishing House of Ministry of Defense of USSR, Moscow, 1954).
A. I. Pressman, K. Billings, T. Morey, Switching Power Supply Design (McGraw-Hill Companies, New York, 2009).
H. Choi, "Pre-matching circuit for high-frequency ultrasound transducers," Sensors, v.22, n.22, p.8861 (2022). DOI: https://doi.org/10.3390/s22228861.
G. Haobijam, R. P. Palathinkal, Design and Analysis of Spiral Inductors (Springer India, New Delhi, 2014). DOI: https://doi.org/10.1007/978-81-322-1515-8.
P. L. Dowell, "Effects of eddy currents in transformer windings," Proc. Inst. Electr. Eng., v.113, n.8, p.1387 (1966). DOI: https://doi.org/10.1049/piee.1966.0236.
J. A. Ferreira, "Improved analytical modeling of conductive losses in magnetic components," IEEE Trans. Power Electron., v.9, n.1, p.127 (1994). DOI: https://doi.org/10.1109/63.285503.
H. Johnson, M. Graham, "To understand skin effect, you must first understand how eddy currents operate...," in High Speed Signal Propagation: Advanced Black Magic (Prentice Hall, 2003).
A. Ducluzaux, "Extra losses caused in high current conductors by skin and proximity effects," Cahier technique, No. 83 (1983).
А. P. Seredin, А. V. Movchaniuk, "Analysis of techniques and modification of existing expressions for calculating choke loss resistance at ultrasonic frequencies," in Proc. of Int. Sci. Tech. Conf. on Radio Fields, Signals, Apparatus and Systems (Igor Sikorsky Kyiv Polytechnic Institute, Kyiv, 2020).
X. Nan, C. R. Sullivan, "An improved calculation of proximity-effect loss in high-frequency windings of round conductors," in IEEE 34th Annual Conference on Power Electronics Specialist, 2003. PESC ’03. (IEEE, Acapulco, 2003). DOI: https://doi.org/10.1109/PESC.2003.1218168.
N. Kumar, Comprehensive Physics XII (Laxmi Publications, New Delhi, 2003).
D. W. Knight, "Practical continuous functions for the internal impedance of solid cylindrical conductors" (2016).
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A. P. Seredin and A. V. Movchaniuk
The authors declare that they have no conflicts of interest.
This article does not contain any studies with human participants or animals performed by any of the authors.
The initial version of this paper in Russian is published in the journal “Izvestiya Vysshikh Uchebnykh Zavedenii. Radioelektronika,” ISSN 2307-6011 (Online), ISSN 0021-3470 (Print) on the link http://radio.kpi.ua/article/view/S002134702301003X with DOI: https://doi.org/10.20535/S002134702301003X
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii. Radioelektronika, No. 10, pp. 644-656, October, 2022 https://doi.org/10.20535/S002134702301003X .
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Seredin, A.P., Movchaniuk, A.V. Influence of Single Layer Winding Geometry of Inductive Element on Loss Resistance. Radioelectron.Commun.Syst. 65, 551–561 (2022). https://doi.org/10.3103/S073527272301003X
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DOI: https://doi.org/10.3103/S073527272301003X