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Journal articles on the topic 'Winding numbers'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

GRIDIN, Vladimir M. "Brushless DC Motors with a Three-Section Winding and Two Inductors." Elektrichestvo 1, no. 1 (2021): 55–60. http://dx.doi.org/10.24160/0013-5380-2021-1-55-60.

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Two brushless DC motors (BLDC) with a three-section armature windiщ and two cylindrical inductors-magnets are considered. One motor has an ordinary drum-type armature windiщ, and numbers of radial poles in its two inductors differ from each other by a factor of three. The other motor has a toroidal armature winding, and the numbers of radial poles in its two inductors differ from each other by a factor of two. An expression for the distribution of the resulting armature winding magnetic induction over the air gap circumference is given. The optimal relationships between the parameters of two i

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2

Chernov (Tchernov), V. V., and Y. B. Rudyak. "On generalized winding numbers." St. Petersburg Mathematical Journal 20, no. 5 (2009): 837–49. http://dx.doi.org/10.1090/s1061-0022-09-01075-9.

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3

Shin, Homin, and Junghwan Chang. "Characteristics Analysis of Doubly Fed Magnetic Geared Motor Considering Winding Frequency Conditions." Energies 11, no. 10 (2018): 2564. http://dx.doi.org/10.3390/en11102564.

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The magnetic geared motor, which has improved torque density because of the magnetic gearing effect, has been researched. However, its narrow operating region due to the operating mechanism by the magnetic gearing effect and field flux by the PM is a challenge that needs to be overcome. Whereas, the doubly fed magnetic geared motor (DFMGM) can extend the operating region because of the double stator and double winding structure with the individual frequency control of the current fed to the inner and outer windings. However, two rotating magnetic fields, which are produced by the inner and out

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4

KNUDSEN, CARSTEN. "TOPOLOGICAL WINDING NUMBERS FOR PERIOD-DOUBLING CASCADES." International Journal of Bifurcation and Chaos 06, no. 01 (1996): 185–87. http://dx.doi.org/10.1142/s0218127496001934.

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We define the topological winding number for unimodal maps that share the essential properties of that of winding numbers for forced oscillators exhibiting period-doubling cascades. It is demonstrated how this number can be computed for any of the periodic orbits in the first period-doubling cascade. The limiting winding number at the accumulation point of the first period-doubling cascade is also derived. It is shown that the limiting value for the winding number ω∞ can be computed as the Farey sum of any two neighbouring topological winding numbers in the period-doubling cascade. The derivat

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5

ANTIPOV, Viktor N., Andrey D. GROZOV, and Anna V. IVANOVA. "The Use of Concentrated Windings for High-Power Synchronous Wind Generators." Elektrichestvo 4, no. 4 (2021): 50–57. http://dx.doi.org/10.24160/0013-5380-2021-4-50-57.

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Low-power machines were commonly considered as the main application field of concentrated windings. However, a lot of paper have recently been published, which address both the theory of these windings and specific cases of their application for large synchronous machines. The article presents an analysis of the parameters of concentrated windings having various configurations intended for use in high-power gear and gearless wind generators. In assessing the winding, not only the high winding factor value was taken into account, but also the star of slot EMFs, harmonic spectra of the MMFs and

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6

Afanasyev, Aleksandr A. "MAGNETOELECTRIC VALVE MOTORS WITH TOOTHED MULTI-POLE WINDINGS BASED ON 6DVM 300." Vestnik Chuvashskogo universiteta, no. 3 (September 29, 2022): 21–34. http://dx.doi.org/10.47026/1810-1909-2022-3-21-34.

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The paper considers valve motors with toothed windings with pole numbers 2, 4, 6, 8, the main dimensions of which correspond to the 6DVM 300 valve motor manufactured by JSC “Cheboksary electrical apparatus plant”. This approach allows us to evaluate the effect of the number of stator teeth on the electromagnetic moment and its harmonic composition. The three adjacent coils of the toothed windings in question belong to three different phases. The paper analyzes the MMF of the windings and magnets of the rotor. The distribution of magnetic induction in the gap, the EMF of the stator winding and

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7

Um, Dae-Yong, Seung-Ahn Chae, and Gwan-Soo Park. "AC-Winding-Resistance Calculation of Toroidal Inductors with Solid-Round-Wire and Litz-Wire Winding Based on Complex Permeability Modeling." Machines 12, no. 4 (2024): 228. http://dx.doi.org/10.3390/machines12040228.

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This paper has investigated a method for calculating the frequency-dependent winding resistance of toroidal inductor windings with Litz-wire as well as solid-round wire. The modified Dowell’s model is employed to address the effectiveness for inductor windings with the low and high filling factors. To overcome the limitation of this model, especially for a winding densely wound around the core, an alternative approach based on the complex permeability and iterative calculations is proposed. For the calculated AC-resistance factor of five inductors with different numbers of turns, layers with t

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8

Kahane, Jean-Pierre. "Winding numbers and summation processes." Complex Variables and Elliptic Equations 55, no. 8-10 (2010): 911–22. http://dx.doi.org/10.1080/17476930903568381.

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9

Kahane, Jean-Pierre. "Winding numbers and fourier series." Proceedings of the Steklov Institute of Mathematics 273, no. 1 (2011): 191–95. http://dx.doi.org/10.1134/s0081543811040080.

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10

Feng, Nicole, Mark Gillespie, and Keenan Crane. "Winding Numbers on Discrete Surfaces." ACM Transactions on Graphics 42, no. 4 (2023): 1–17. http://dx.doi.org/10.1145/3592401.

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In the plane, the winding number is the number of times a curve wraps around a given point. Winding numbers are a basic component of geometric algorithms such as point-in-polygon tests, and their generalization to data with noise or topological errors has proven valuable for geometry processing tasks ranging from surface reconstruction to mesh booleans. However, standard definitions do not immediately apply on surfaces, where not all curves bound regions. We develop a meaningful generalization, starting with the well-known relationship between winding numbers and harmonic functions. By process

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11

Jurkovic, Sinisa, and Elias G. Strangas. "Comparison of PMAC Machines for Starter-Generator Application in a Series Hybrid-Electric Bus." International Journal of Vehicular Technology 2011 (April 6, 2011): 1–11. http://dx.doi.org/10.1155/2011/275785.

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This paper presents a comparative study of outer rotor PMAC machine candidates for starter-generator application in hybrid bus with series power train configuration. PMAC machines with interior and surface mount permanent magnets are considered and compared, although a complete analysis is only carried out for the SPM. Different design aspects such as concentrated versus distributed windings as well as interior and exterior rotor structures are evaluated. Different slot numbers per pole per phase configurations for concentrated winding PMAC machines are also examined. Comparison and evaluation

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12

Abouelsaood, Ahmed. "Gauge transformations with fractional winding numbers." Physical Review D 54, no. 4 (1996): 2889–98. http://dx.doi.org/10.1103/physrevd.54.2889.

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13

Söderberg, B. "Circle maps and reciprocal winding numbers." Journal of Mathematical Physics 29, no. 4 (1988): 837–42. http://dx.doi.org/10.1063/1.527980.

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14

Orlova, S., V. Pugachov, and R. Otankis. "Active Zone of Permanent Magnet Synchronous Machine with a Non-Overlapping Concentrated Winding." Latvian Journal of Physics and Technical Sciences 55, no. 4 (2018): 3–12. http://dx.doi.org/10.2478/lpts-2018-0024.

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Abstract The research is devoted to the investigation of NdFeB permanent magnet (PM) based synchronous generators with non-overlapping concentrated windings. The rotor of such a generator has 10 pole pairs (PMs), which is dictated by the nominal voltage frequency (f=50 Hz) and the rotational speed (n=300 RPM). Comparison is made for four generators with three-phase winding coils and stator tooth numbers 18, 21, 24 and 27.

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15

GRIDIN, Vladimir M. "Electromagnetic Processes in Two-Inductor Brushless DC Motors." Elektrichestvo, no. 3 (2022): 43–48. http://dx.doi.org/10.24160/0013-5380-2022-3-43-48.

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The electromagnetic processes that take place in two brushless direct current (BLDC) motors containing a three-section armature winding, three power transistors and two cylindrical magnet type inductors are studied. One of these motors has a conventional drum armature winding and two inductors with the numbers of their radial poles differing from each other by a factor of three. The other motor has a toroidal armature winding and two inductors with the numbers of their radial poles differing from each other by a factor of two. The electromagnetic processes were studied for the armature winding

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16

GRIDIN, Vladimir M. "Electromagnetic Processes in Two-Inductor Brushless DC Motors." Elektrichestvo, no. 3 (2022): 43–48. http://dx.doi.org/10.24160/0013-53-2022-3-43-48.

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The electromagnetic processes that take place in two brushless direct current (BLDC) motors containing a three-section armature winding, three power transistors and two cylindrical magnet type inductors are studied. One of these motors has a conventional drum armature winding and two inductors with the numbers of their radial poles differing from each other by a factor of three. The other motor has a toroidal armature winding and two inductors with the numbers of their radial poles differing from each other by a factor of two. The electromagnetic processes were studied for the armature winding

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17

Hungerbühler, Norbert, and Micha Wasem. "Non-Integer Valued Winding Numbers and a Generalized Residue Theorem." Journal of Mathematics 2019 (March 11, 2019): 1–9. http://dx.doi.org/10.1155/2019/6130464.

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We define a generalization of the winding number of a piecewise C1 cycle in the complex plane which has a geometric meaning also for points which lie on the cycle. The computation of this winding number relies on the Cauchy principal value but is also possible in a real version via an integral with bounded integrand. The new winding number allows to establish a generalized residue theorem which covers also the situation where singularities lie on the cycle. This residue theorem can be used to calculate the value of improper integrals for which the standard technique with the classical residue

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18

Yakubovich, Dmitry. "Vector Semi-Fredholm Toeplitz Operators and Mean Winding Numbers." Nagoya Mathematical Journal 195 (2009): 57–75. http://dx.doi.org/10.1017/s0027763000009703.

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AbstractFor a continuous nonvanishing complex-valued function g on the real line, several notions of a mean winding number are introduced. We give necessary conditions for a Toeplitz operator with matrix-valued symbol G to be semi-Fredholm in terms of mean winding numbers of det G. The matrix function G is assumed to be continuous on the real line, and no other apriori assumptions on it are made.

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19

Quandt, Alexander. "Winding numbers, discriminants and topological phase transitions." Physica B: Condensed Matter 612 (July 2021): 412867. http://dx.doi.org/10.1016/j.physb.2021.412867.

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20

Baker, John A. "Plane Curves, Polar Coordinates and Winding Numbers." Mathematics Magazine 64, no. 2 (1991): 75. http://dx.doi.org/10.2307/2690753.

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21

Barill, Gavin, Neil G. Dickson, Ryan Schmidt, David I. W. Levin, and Alec Jacobson. "Fast winding numbers for soups and clouds." ACM Transactions on Graphics 37, no. 4 (2018): 1–12. http://dx.doi.org/10.1145/3197517.3201337.

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22

Baker, John A. "Plane Curves, Polar Coordinates and Winding Numbers." Mathematics Magazine 64, no. 2 (1991): 75–91. http://dx.doi.org/10.1080/0025570x.1991.11977580.

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23

Saller, H. "The winding numbers of the standard model." Il Nuovo Cimento A 106, no. 9 (1993): 1189–206. http://dx.doi.org/10.1007/bf02778208.

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24

Schöneborn, Torsten, and Günter M. Ziegler. "The Topological Tverberg Theorem and winding numbers." Journal of Combinatorial Theory, Series A 112, no. 1 (2005): 82–104. http://dx.doi.org/10.1016/j.jcta.2005.01.005.

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25

Baudoin, Fabrice, and Jing Wang. "Stochastic areas, winding numbers and Hopf fibrations." Probability Theory and Related Fields 169, no. 3-4 (2016): 977–1005. http://dx.doi.org/10.1007/s00440-016-0745-x.

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26

Abouelsaood, Ahmed. "Pseudo winding numbers and the spherical ansatz." Journal of Physics A: Mathematical and General 30, no. 10 (1997): 3279–84. http://dx.doi.org/10.1088/0305-4470/30/10/008.

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27

Donnelly, Harold. "Winding numbers and eigenfunctions of the Laplacian." Annals of Global Analysis and Geometry 44, no. 1 (2012): 1–3. http://dx.doi.org/10.1007/s10455-012-9352-y.

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28

ENGLISCH, VOLKER, and WERNER LAUTERBORN. "THE WINDING-NUMBER LIMIT OF PERIOD-DOUBLING CASCADES DERIVED AS FAREY-FRACTION." International Journal of Bifurcation and Chaos 04, no. 04 (1994): 999–1002. http://dx.doi.org/10.1142/s0218127494000708.

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29

Elbistan, Mahmut. "Weyl semimetal and topological numbers." International Journal of Modern Physics B 31, no. 29 (2017): 1750221. http://dx.doi.org/10.1142/s0217979217502216.

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Generalized Dirac monopoles in momentum space are constructed in even [Formula: see text] dimensions from the Weyl Hamiltonian in terms of Green’s functions. In [Formula: see text] dimensions, the (unit) charge of the monopole is equal to both the winding number and the Chern number, expressed as the integral of the Berry curvature. Based on the equivalence of the Chern and winding numbers, a chirally coupled and Lorentz invariant field theory action is studied for the Weyl semimetal phase. At the one loop order, the effective action yields both the chiral magnetic effect and the anomalous Hal

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30

Shangguan, Ming Zhu, Hui Juan Liu, Xin Xiao Song, and Hong Lin Lv. "Radial Force Analysis of Radial Laminated Magnetic-Barrier Rotor Brushless Doubly-Fed Machine." Advanced Materials Research 171-172 (December 2010): 454–57. http://dx.doi.org/10.4028/www.scientific.net/amr.171-172.454.

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In this paper, the respective harmonic magnetic field generated by the two sets of stator windings of radial laminated magnetic-barrier rotor brushless doubly-fed machine has been analyzed with the winding function method, the calculations of the radial forces on stator’s inner edge which are resulted from the fundamental and harmonic magnetic field that generated by the two sets of stator windings have been made, and the radial forces of three kinds of such machines with different rotor pole numbers have been compared, all the above can provide theoretical guidance for optimized design of rad

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31

Jiang, Yunping. "Winding numbers and full extendibility in holomorphic motions." Conformal Geometry and Dynamics of the American Mathematical Society 24, no. 5 (2020): 109–17. http://dx.doi.org/10.1090/ecgd/351.

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32

Jacobson, Alec, Ladislav Kavan, and Olga Sorkine-Hornung. "Robust inside-outside segmentation using generalized winding numbers." ACM Transactions on Graphics 32, no. 4 (2013): 1–12. http://dx.doi.org/10.1145/2461912.2461916.

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33

Shnerb, Nadav M., and David R. Nelson. "Winding Numbers, Complex Currents, and Non-Hermitian Localization." Physical Review Letters 80, no. 23 (1998): 5172–75. http://dx.doi.org/10.1103/physrevlett.80.5172.

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34

Haugset, T., and F. Ravndal. "Anyon winding numbers from the Chern-Simons interaction." Journal of Physics A: Mathematical and General 25, no. 8 (1992): L449—L451. http://dx.doi.org/10.1088/0305-4470/25/8/012.

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35

Geiger, J., and G. Kersting. "Winding numbers for 2-dimensional, positive recurrent diffusions." Potential Analysis 3, no. 2 (1994): 189–201. http://dx.doi.org/10.1007/bf01053432.

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36

Lasher, Gordon. "Winding numbers for SU (3) lattice gauge fields." Annals of Physics 204, no. 1 (1990): 52–63. http://dx.doi.org/10.1016/0003-4916(90)90120-d.

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37

Ding, E. J., and P. C. Hemmer. "Winding numbers for the supercritical sine circle map." Physica D: Nonlinear Phenomena 32, no. 1 (1988): 153–60. http://dx.doi.org/10.1016/0167-2789(88)90092-9.

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38

Gundogdu, Tayfun, Zi-Qiang Zhu, and Jean-Claude Mipo. "Design and Analysis of Advanced Nonoverlapping Winding Induction Machines for EV/HEV Applications." Energies 14, no. 20 (2021): 6849. http://dx.doi.org/10.3390/en14206849.

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This paper presents a detailed analysis and design guidelines for advanced nonoverlapping winding induction machines (AIMs) with coil-pitch of two slot-pitches by considering some vital empirical rules and flux-weakening characteristics. The aim of the study is to develop a type of new winding and stator topology for induction machines (IMs) that will lead to a decrease in total axial length without sacrificing torque, power, and efficiency. The key performance characteristics of the improved AIMs are investigated by 2D time-stepping finite element analysis (FEA) and compared with those of IMs

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39

Mcsharry, Patrick E., and Paulo R. C. Ruffino. "Asymptotic angular stability in non-linear systems: rotation numbers and winding numbers." Dynamical Systems 18, no. 3 (2003): 191–200. http://dx.doi.org/10.1080/1468936031000155927.

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40

Spainhour, Jacob, David Gunderman, and Kenneth Weiss. "Robust Containment Queries over Collections of Rational Parametric Curves via Generalized Winding Numbers." ACM Transactions on Graphics 43, no. 4 (2024): 1–14. http://dx.doi.org/10.1145/3658228.

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Point containment queries for regions bound by watertight geometric surfaces, i.e., closed and without self-intersections, can be evaluated straightforwardly with a number of well-studied algorithms. When this assumption on domain geometry is not met, such methods are either unusable, or prone to misclassifications that can lead to cascading errors in downstream applications. More robust point classification schemes based on generalized winding numbers have been proposed, as they are indifferent to these imperfections. However, existing algorithms are limited to point clouds and collections of

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41

HAYASHI, HIROTAKA, KEISUKE OKAMURA, RYO SUZUKI, and BENOÎT VICEDO. "LARGE WINDING SECTOR OF AdS/CFT." International Journal of Modern Physics A 23, no. 14n15 (2008): 2241–42. http://dx.doi.org/10.1142/s0217751x08040925.

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We find a new family of classical oscillating strings with large winding numbers, which are constructed by interchanging τ and σ of helical strings' solutions. We also give a finite-gap interpretation of interchanging τ and σ. Gauge dual operators are discussed at the end.

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42

Liu, Nai-Wen, Kuo-Yuan Hung, Shih-Chin Yang, Feng-Chi Lee, and Chia-Jung Liu. "Design of High-Speed Permanent Magnet Motor Considering Rotor Radial Force and Motor Losses." Energies 13, no. 22 (2020): 5872. http://dx.doi.org/10.3390/en13225872.

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Different from the design of conventional permanent magnet (PM) motors, high-speed motors are primarily limited by rotor unbalanced radial forces, rotor power losses, and rotor mechanical strength. This paper aimed to propose a suitable PM motor with consideration of these design issues. First, the rotor radial force is minimized based on the selection of stator tooth numbers and windings. By designing a stator with even slots, the rotor radial force can be canceled, leading to better rotor strength at high speed. Second, rotor power losses proportional to rotor frequency are increased as moto

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43

Berger, M. A., and P. H. Roberts. "On the winding number problem with finite steps." Advances in Applied Probability 20, no. 2 (1988): 261–74. http://dx.doi.org/10.2307/1427389.

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The winding number problem (Lévy (1940)) concerns the net angle through which the route of a random walk winds about the origin. We consider the problem of finding the winding number for a walk with finite step sizes; the eigenfunction method (Roberts and Ursell (1960)) is shown to be inapplicable because the probability distribution for a sequence of steps of different length depends on the order in which those steps are taken. In the diffusion limit, however, commutivity is restored. We derive the winding number distribution for a diffusion process, starting from a point displaced from the o

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44

Berger, M. A., and P. H. Roberts. "On the winding number problem with finite steps." Advances in Applied Probability 20, no. 02 (1988): 261–74. http://dx.doi.org/10.1017/s0001867800016967.

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The winding number problem (Lévy (1940)) concerns the net angle through which the route of a random walk winds about the origin. We consider the problem of finding the winding number for a walk with finite step sizes; the eigenfunction method (Roberts and Ursell (1960)) is shown to be inapplicable because the probability distribution for a sequence of steps of different length depends on the order in which those steps are taken. In the diffusion limit, however, commutivity is restored. We derive the winding number distribution for a diffusion process, starting from a point displaced from the o

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45

Vasantha Gowri, N., M. Ramalinga Raju, and B. P.Singh. "Analysis of Partial Discharge Due to Movement of Spherical Particle in Power Transformer Using Computational Fluid Dynamics." International Journal of Engineering & Technology 7, no. 3.3 (2018): 73. http://dx.doi.org/10.14419/ijet.v7i3.3.14489.

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Power transformer is costly and very important equipment in power sector. Failure of power transformer causes colossal damage to the power system. One of the important reasons for transformer failure is event of Partial Discharge (PD) in the transformer. Numbers of non-conducting and conducting particle are available in the transformer. Conducting particles available in the transformer or mineral oil entering into winding space, strike the energized winding of the transformer cause PD to occur. Movement pattern of particle administrates the probability of particle striking the winding. Analysi

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46

Wu, Chuan Guo, Jian Zhong Zhang, Yu Ting Chen, and Ming Cheng. "Comparison Study of Tubular Linear Surface-Mounted Permanent Magnet Actuator with Different Fractional Slot Winding." Applied Mechanics and Materials 416-417 (September 2013): 281–86. http://dx.doi.org/10.4028/www.scientific.net/amm.416-417.281.

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There are many slot/pole combinations may be selected for the fractional slot tubular linear surface-mounted motors (TLSPM) used as actuators for high voltage breakers, such as 15/8, 15/4, 15/2, 12/8. Compared with integral slot winding, the fractional slot winding has more advantages. Since the winding arrangement will be changed due to the different slot/pole numbers. The characteristics of the TLSPM with different fractional slot, such as detent force, back EMF, are analyzed and compared in this paper. It is shown that good performance may be achieved by selecting appropriate fractional slo

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47

Hultman, Erik. "Introducing Robotized Stator Cable Winding to Rotating Electric Machines." Machines 10, no. 8 (2022): 695. http://dx.doi.org/10.3390/machines10080695.

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Following environmental concerns and the rapid digitalization of our society, we are currently experiencing an extensive electrification and industrial revolution. High numbers of electric machines thus need to be assembled for varying applications, including vehicle propulsion and renewable energy conversion. Cable winding is an alternative stator winding technology for electric machines that has been utilized for such applications, so far in smaller series or in prototype machines. The presented work introduces the first concept for automated stator cable winding of rotating electric machine

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48

Yandulskyi, Oleksandr, and Vadym Mossakovskyi. "MODELLING OF THE POWER TRANSFORMERS TO THE DETERMINATION OF THE HOT-SPOT POINT POSITION UNDER THE DIFFERENT OPERATING CONDITIONS." Transactions of Kremenchuk Mykhailo Ostrohradskyi National University, no. 4(129) (August 23, 2021): 149–56. http://dx.doi.org/10.30929/1995-0519.2021.4.149-156.

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Purpose. Research of the position changing of the hot-spot point of the oil-immersed power transformers using simulation. Methodology. The theory and practice of calculation of power transformers, standardized mathematical models of calculation of the hot-spot point temperature and the mathematical modeling were used. Results. At Figures 4 - 6 under the number 1 indicate the initial conditions, namely the rated load of the transformer; eddy loses at rated load and 20 ° C ambient temperature. Under initial conditions, the hot-spot point is located on the surface of the low voltage winding at th

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49

Guhr, Thomas. "Statistical Topology—Distribution and Density Correlations of Winding Numbers in Chiral Systems." Entropy 25, no. 2 (2023): 383. http://dx.doi.org/10.3390/e25020383.

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Statistical Topology emerged as topological aspects continue to gain importance in many areas of physics. It is most desirable to study topological invariants and their statistics in schematic models that facilitate the identification of universalities. Here, the statistics of winding numbers and of winding number densities are addressed. An introduction is given for readers with little background knowledge. Results that my collaborators and I obtained in two recent works on proper random matrix models for the chiral unitary and symplectic cases are reviewed, avoiding a technically detailed di

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50

Grunbaum, Branko, and G. C. Shephard. "Rotation and Winding Numbers for Planar Polygons and Curves." Transactions of the American Mathematical Society 322, no. 1 (1990): 169. http://dx.doi.org/10.2307/2001527.

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