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Journal ArticleDOI

Computationally efficient winding loss calculation with multiple windings, arbitrary waveforms, and two-dimensional or three-dimensional field geometry

Charles R. Sullivan
- 01 Jan 2001 - 
- Vol. 16, Iss: 1, pp 142-150
TLDR
The squared-field-derivative method for calculating eddy-current (proximity effect) losses in round-wire or litz-wire transformer and inductor windings is derived in this paper.
Abstract
The squared-field-derivative method for calculating eddy-current (proximity-effect) losses in round-wire or litz-wire transformer and inductor windings is derived. The method is capable of analyzing losses due to two-dimensional and three-dimensional field effects in multiple windings with arbitrary waveforms in each winding. It uses a simple set of numerical magnetostatic field calculations, which require orders of magnitude less computation time than numerical eddy-current solutions, to derive a frequency-independent matrix describing the transformer or inductor. This is combined with a second, independently calculated matrix, based on derivatives of winding currents, to compute total AC loss. Experiments confirm the accuracy of the method.

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Citations
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Proceedings ArticleDOI

PMSM and Inverter Efficiency Calculation Including Current Ripple, AC Loss and PM Segmentation for a High Performance Powertrain

TL;DR: In this article , the analytical calculation of PWM phase currents is combined with FE simulation to calculate the AC winding loss, permanent magnet eddy current loss and core loss, and the switching and conduction loss of the inverter and the loss due to air and bearing friction are included.
Proceedings ArticleDOI

An improved model for the high frequency resistance of non-layered windings

TL;DR: In this paper, an improved model for the calculation of high frequency resistance of windings that show an arbitrary conductor distribution within the available window space is presented, which is extracted after an extensive process of Finite Element Analysis simulations, followed by statistical treatment of the results, verified by experimental measurements on windings wound over cores with circular as well as rectangular center pole.
Journal ArticleDOI

Tangential magnetic field at the surface of pot core transformers

TL;DR: In this paper, an analytical approach using simplified expressions whereby the tangential component of the magnetic field at the surface of pot core transformers can be quickly estimated was presented. But the results were not in agreement with those obtained using an accurate numerical method.

Analytical Winding Loss and Inductance Models for Gapped Inductors With Litz or Solid Wires

TL;DR: In this paper , the authors proposed analytical formulas to calculate the inductance and the additional eddy current losses in gapped inductors with solid round wire and Litz wire windings.
Journal ArticleDOI

Analytical Winding Loss and Inductance Models for Gapped Inductors With Litz or Solid Wires

TL;DR: In this paper , the authors proposed analytical formulas to calculate the inductance and the additional eddy current losses in gapped inductors with solid round wire and Litz wire windings.
References
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Book

Static and dynamic electricity

W. R. Smythe
Journal ArticleDOI

Effects of eddy currents in transformer windings

P.L. Dowell
TL;DR: In this article, the effect of eddy currents on transformer windings is considered and a method is derived for calculating the variation of winding resistance and leakage inductance with frequency for transformers with single-layer, multilayer and sectionalised windings.
Journal ArticleDOI

Optimal choice for number of strands in a litz-wire transformer winding

TL;DR: In this paper, the number and diameter of strands to minimize loss in a litz-wire transformer winding is determined, and a power law to model insulation thickness is combined with standard analysis of proximity effect losses to find the optimal stranding.
Journal ArticleDOI

Improved analytical modeling of conductive losses in magnetic components

TL;DR: In this paper, the authors propose an orthogonality between skin effect and proximity effect to calculate the AC resistance of round conductor windings, which gives more accurate answers than the basic one-dimensional method because the exact analytical equations for round conductors can be used.
Journal ArticleDOI

Optimizing the AC resistance of multilayer transformer windings with arbitrary current waveforms

TL;DR: In this article, the authors present a new formula for the optimum foil or layer thickness, without the need for Fourier coefficients and calculations at harmonic frequencies, which is simple, straightforward and applies to any periodic wave shape.
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