Access the full text.
Sign up today, get DeepDyve free for 14 days.
W. Hurley, Eugene Gath, John Breslin (2000)
Optimizing the AC resistance of multilayer transformer windings with arbitrary current waveforms30th Annual IEEE Power Electronics Specialists Conference. Record. (Cat. No.99CH36321), 1
W. Hurley, W. Wolfle, J. Breslin (1998)
Optimized transformer design: inclusive of high-frequency effectsIEEE Transactions on Power Electronics, 13
G. Grandi, M. Kazimierczuk, A. Massarini, U. Reggiani, G. Sancineto (2004)
Model of laminated iron-core inductors for high frequenciesIEEE Transactions on Magnetics, 40
M. Grimble (1992)
LOG optimal control design for uncertain systems, 139
M. Kazimierczuk, R. Wojda (2010)
Foil Winding Resistance and Power Loss in Individual Layers of InductorsInternational Journal of Electronics and Telecommunications, 56
M. Bartoli, N. Noferi, A. Reatti, M. Kazimierczuk (1996)
Modeling Litz-wire winding losses in high-frequency power inductorsPESC Record. 27th Annual IEEE Power Electronics Specialists Conference, 2
P. Dowell (1966)
Effects of eddy currents in transformer windings
E.C. Sneling
Soft Ferrites Properties and Applications
M. Kazimierczuk, H. Sekiya (2009)
Design of AC resonant inductors using area product method2009 IEEE Energy Conversion Congress and Exposition
R. Wojda, M. Kazimierczuk (2012)
Optimum foil thickness of inductors conducting DC and non-sinusoidal periodic currentsIet Power Electronics, 5
M. Bartoli, N. Noferi, A. Reatti, M. Kazimierczuk (1995)
Modelling Winding Losses in High-Frequency Power inductorsJ. Circuits Syst. Comput., 5
A. Reatti, M. Kazimierczuk (2002)
Comparison of various methods for calculating the AC resistance of inductorsIEEE Transactions on Magnetics, 38
R. Wojda, M. Kazimierczuk (2013)
Analytical Optimization of Solid–Round-Wire WindingsIEEE Transactions on Industrial Electronics, 60
M. Perry (1979)
Multiple Layer Series Connected Winding Design for Minimum LossesIEEE Transactions on Power Apparatus and Systems, PAS-98
M. Bartoli, A. Reatti, M. Kazimierczuk (1996)
Minimum copper and core losses power inductor designIAS '96. Conference Record of the 1996 IEEE Industry Applications Conference Thirty-First IAS Annual Meeting, 3
R. Wojda, M. Kazimierczuk (2012)
Winding resistance of litz-wire and multi-strand inductorsIet Power Electronics, 5
M. Kazimierczuk (2009)
High-Frequency Magnetic Components
E. Bennett, Sidney Larson (1940)
Effective resistance to alternating currents of multilayer windingsElectrical Engineering, 59
Purpose – The purpose of this paper is twofold. First, it aims to study the proximity‐effect power loss in the foil, strip (rectangular), square, and solid‐round wire inductor windings. Second, it aims to optimize the thickness of the foil, strip, square wire windings, and the diameter of the solid‐round‐wire, the minimum of winding AC resistance and the minimum of winding AC power loss for sinusoidal inductor current. Design/methodology/approach – The methodology of the analysis is as follows. First, the winding resistance of the single‐layer foil winding with a single turn per layer and uniform magnetic flux density B is derived. Second, the single‐layer foil winding with uniform magnetic flux density B is converted for the case, where the magnetic flux density B is a function of x . Third, the single‐layer winding is replaced by the winding with multiple layers isolated from each other. Fourth, transformation of the multi‐layer foil winding into different conductor shapes is performed. For the solid‐round‐wire windings, the results of the derivation are compared to Dowell's equation and verified by measurements. Findings – Closed‐form analytical equations for the optimum normalized winding size (thickness or diameter) at the global or local minimum of winding AC resistance are derived. It has been shown that the AC‐to‐DC winding resistance ratio is equal to 4/3 ( F Rv =4/3) at the optimum normalized thickness of foil and strip wire winding h opt /δ w . The AC‐to‐DC winding resistance ratio is equal to 2 ( F Rv =2) at the local minimum of the square wire and solid‐round‐wire winding AC resistances. Moreover, it has been shown that for the solid‐round wire winding, the proximity‐effect AC‐to‐DC winding resistance ratio is equal to Dowell's AC‐to‐DC winding resistance ratio at low and medium frequencies. The accuracy of equation for the winding AC resistance of the solid‐round wire winding inductors has been experimentally verified. The predicted results were in good agreement with the measured results. Research limitations/implications – It is assumed that the applied current density in the winding conductor is approximately constant and the magnetic flux density B is parallel to the winding conductor ( b >> h ). This implies that a low‐ and medium‐frequency 1‐D solution is considered and allows the winding size optimization. This is because the optimum normalized winding conductor size occurs in the low‐ and medium‐frequency range. The skin‐effect winding power loss is much lower than the proximity‐effect winding power loss and therefore, it is neglected. Originality/value – This paper presents derivations of closed‐form analytical equations for the optimum size (thickness or diameter) that yields the global minimum or the local minimum of proximity‐effect loss. A significant advantage of these derivations is their simplicity. Moreover, the paper derives equations for the AC‐to‐DC winding resistance ratio for the different shape wire windings, i.e. foil, strip, square and solid‐round, respectively.
COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering – Emerald Publishing
Published: Nov 9, 2012
Keywords: Eddy currents; Inductors; Optimization; Optimization techniques; Proximity effect; Winding loss
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.