Details
| Original language | English |
|---|---|
| Article number | 7940031 |
| Journal | IEEE Transactions on Magnetics |
| Volume | 53 |
| Issue number | 10 |
| Publication status | Published - Oct 2017 |
Abstract
The winding factor is an operand in order to consider the effect of winding distribution and chording on the spatial distribution of the magnetic field in the air gap of synchronous and induction machines. The sinusoidal functions for winding factor calculation presented in literature are not defined and valid for every irregular winding, e.g., single-layer fractional-slot, combined star-delta, multilayer (greater than two), and asymmetrical windings. Although the summation of induced voltage phasors (star of slots) is the most accurate method, asymmetrical windings require to be decomposed in symmetrical components. In this paper, in addition to deriving the symmetrical components for asymmetrical multiphase windings, the analytical formulation is presented to relate the harmonic content of winding functions to winding factors. The harmonic leakage factor is accurately formulated from the winding function instead of the Görges diagram without the need for summing up an infinite number of normalized winding factors quadratically. Without restriction of the number of layers and the distribution of the winding, including full-pitch, chorded and fractional-slot symmetrical and asymmetrical windings, the suggested analysis method is validated with the star of slots and sinusoidal functions of distribution and pitch factors, where applicable.
Keywords
- Electromotive force (EMF), fast Fourier transform (FFT), fractional-slot concentrated winding (FSCW), fractional-slot distributed winding (FSDW), Görges diagram, harmonic leakage factor, magnetomotive force (MMF), symmetrical components, winding factor for all spatial harmonics, winding function approach
ASJC Scopus subject areas
- Materials Science(all)
- Electronic, Optical and Magnetic Materials
- Engineering(all)
- Electrical and Electronic Engineering
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In: IEEE Transactions on Magnetics, Vol. 53, No. 10, 7940031, 10.2017.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Winding Function Approach for Winding Analysis
AU - Raziee, Seyed Morteza
AU - Misir, Onur
AU - Ponick, Bernd
N1 - Funding Information: ACKNOWLEDGMENT This work was supported in part by Niedersächsisches Ministerium für Wissenschaft und Kultur and in part by Leibniz Universität Hannover, especially the Institute for Drive Systems and Power Electronics. Publisher Copyright: © 1965-2012 IEEE. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2017/10
Y1 - 2017/10
N2 - The winding factor is an operand in order to consider the effect of winding distribution and chording on the spatial distribution of the magnetic field in the air gap of synchronous and induction machines. The sinusoidal functions for winding factor calculation presented in literature are not defined and valid for every irregular winding, e.g., single-layer fractional-slot, combined star-delta, multilayer (greater than two), and asymmetrical windings. Although the summation of induced voltage phasors (star of slots) is the most accurate method, asymmetrical windings require to be decomposed in symmetrical components. In this paper, in addition to deriving the symmetrical components for asymmetrical multiphase windings, the analytical formulation is presented to relate the harmonic content of winding functions to winding factors. The harmonic leakage factor is accurately formulated from the winding function instead of the Görges diagram without the need for summing up an infinite number of normalized winding factors quadratically. Without restriction of the number of layers and the distribution of the winding, including full-pitch, chorded and fractional-slot symmetrical and asymmetrical windings, the suggested analysis method is validated with the star of slots and sinusoidal functions of distribution and pitch factors, where applicable.
AB - The winding factor is an operand in order to consider the effect of winding distribution and chording on the spatial distribution of the magnetic field in the air gap of synchronous and induction machines. The sinusoidal functions for winding factor calculation presented in literature are not defined and valid for every irregular winding, e.g., single-layer fractional-slot, combined star-delta, multilayer (greater than two), and asymmetrical windings. Although the summation of induced voltage phasors (star of slots) is the most accurate method, asymmetrical windings require to be decomposed in symmetrical components. In this paper, in addition to deriving the symmetrical components for asymmetrical multiphase windings, the analytical formulation is presented to relate the harmonic content of winding functions to winding factors. The harmonic leakage factor is accurately formulated from the winding function instead of the Görges diagram without the need for summing up an infinite number of normalized winding factors quadratically. Without restriction of the number of layers and the distribution of the winding, including full-pitch, chorded and fractional-slot symmetrical and asymmetrical windings, the suggested analysis method is validated with the star of slots and sinusoidal functions of distribution and pitch factors, where applicable.
KW - Electromotive force (EMF)
KW - fast Fourier transform (FFT)
KW - fractional-slot concentrated winding (FSCW)
KW - fractional-slot distributed winding (FSDW)
KW - Görges diagram
KW - harmonic leakage factor
KW - magnetomotive force (MMF)
KW - symmetrical components
KW - winding factor for all spatial harmonics
KW - winding function approach
UR - http://www.scopus.com/inward/record.url?scp=85029939780&partnerID=8YFLogxK
U2 - 10.1109/tmag.2017.2712570
DO - 10.1109/tmag.2017.2712570
M3 - Article
AN - SCOPUS:85029939780
VL - 53
JO - IEEE Transactions on Magnetics
JF - IEEE Transactions on Magnetics
SN - 0018-9464
IS - 10
M1 - 7940031
ER -