Abstract

In this paper, a method to calculate the winding factor by only considering stator parameters without the rotor ones is developed. This is interesting because it allows the separation of the stator and rotor design, unlike the existing methods in the literature. A general method based on the matrix representation of a winding is presented. This approach requires the knowledge of four parameters : i) slots number, ii) phases number, iii) layers number, and iv) single-phase spatial distribution. A new feature of the multi-layer windings is introduced, it is called false-zero windings, which is divided into two categories: i) α-windings (i.e., odd false-zero windings), and ii) β-windings (i.e., even false-zero windings). The windings having no false-zero are categorized as γ-windings. The calculations are applied for single and multi-phase/-layer windings. The results of the comparison are satisfactory. The code used for the calculation is given in Appendix.

Highlights

  • Rotational force generating devices, such as motors, electric generators and sirens, are generally composed of two components called stator and rotor, in which a winding is inserted in one or both sets

  • Ouamara et al (2018) [1] published an overview on the winding design and developed a research tool called ANFRACTUS Tool 1.0 allowing an automatic generation of all windings in multi-phase/-layer electrical machines by using the matrix representation

  • The way the coils are distributed in the stator and/or rotor slots directly affects the winding factor of each spatial harmonic and, the electromagnetic performances of electrical machines

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Summary

Context

Rotational force generating devices, such as motors, electric generators and sirens, are generally composed of two components called stator and rotor, in which a winding is inserted in one or both sets. The way the coils are distributed in the stator and/or rotor slots directly affects the winding factor of each spatial harmonic and, the electromagnetic performances of electrical machines The back electromotive force of the winding is not directly calculated with the number of turns, but the winding factor corresponding to each harmonic must be taken into account [3]. The electromotive force phasor vector is used to calculate the winding factor of concentrated multi-layer windings as explained in [10]. In [14], the equations for a specific winding layout have been applied for multi-phase permanent-magnet synchronous machines having all teeth wound concentrated windings

Objective of this Paper
Matrix Representation distribution will be represented by:
Winding Factor Calculation
Description
Multi-Layer Windings
Conclusion
Full Text
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