A mathematical development of the theory of the magnetomotive force of windings

Clayton, A.E.

doi:10.1049/jiee-1.1923.0097

Cited by 6 publications

(5 citation statements)

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“…Figure 2 shows the winding MMF distributions for the machines. Based on the Fourier analysis method, the analytical equation for the winding MMF distribution is given as [15]:…”

Section: Structures Of the Spmvmmentioning

confidence: 99%

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Design and Analysis of Surface-Mounted PM Vernier Machines Considering Harmonic Characteristics of Winding MMF

Jang

Chang

2019

Energies

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This paper proposes a design method for the flux modulation poles (FMPs) formed on the stator of surface-mounted permanent magnet vernier machines (SPMVM) considering the winding configurations. In three types of the SPMVM with the different winding configurations, the FMP shapes to maximize the output torque are optimized by employing the analytical equations for the magneto-motive force (MMF) due to the windings, permeance, and flux density in the air-gap. Then, the validity of the optimal shapes for the FMPs is verified by the finite element analysis. It is found that the optimal FMP shapes are designed differently in the three types of the SPMVM and increase the output torque by different ratios according to the winding configurations. In addition, the experimental results for the prototype show that the proposed method can optimally design the FMP shape by analyzing mathematically the effects of the winding configuration and the FMP shape on the output torque of the SPMVM.

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“…Figure 2 shows the winding MMF distributions for the machines. Based on the Fourier analysis method, the analytical equation for the winding MMF distribution is given as [15]:…”

Section: Structures Of the Spmvmmentioning

confidence: 99%

“…In order to perform the optimization, the genetic algorithm toolbox in MATLAB was employed for (11), (13), and (15), and the design optimization problems were formulated as follows:…”

Section: Optimization Of the Fmp Shapementioning

confidence: 99%

Design and Analysis of Surface-Mounted PM Vernier Machines Considering Harmonic Characteristics of Winding MMF

Jang

Chang

2019

Energies

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“…The stator has three-phase concentrated windings and each tooth is split into FMPs of the integer number. The MMF distribution created by the three-phase windings can be expressed as [19].…”

Section: Magnetic Gearsmentioning

confidence: 99%

Influences of Winding MMF Harmonics on Torque Characteristics in Surface-Mounted Permanent Magnet Vernier Machines

Jang

Chang

2017

Energies

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This paper presents the influences of winding magneto-motive force (MMF) harmonics on the torque characteristics in surface-mounted permanent magnet vernier (SPMV) machines. Based on the magnetic gearing effects, the armature magnetic field of the SPMV machines is modulated by flux modulation poles (FMPs). In the modulated magnetic field, a working harmonic which corresponds to the number of the rotor pole pairs generates torque. Unlike regular PM machines, the winding MMF harmonics in the SPMV machines can produce the working harmonic by adjusting the FMP shapes. In order to investigate the effects of the winding MMF harmonics, the operating principle of the SPMV machines is elaborated by an analytical method using the winding MMF distribution and air-gap permeance function. After that, the design method of the FMP shapes that can improve the output torque by using the winding MMF harmonics is proposed. For the SPMV machine having 6 slots and 24 FMPs, the effects of the winding MMF harmonics and the validity of the proposed design method are confirmed by the finite element analysis method. It is shown that the proposed design method can improve the performances of the SPMV machine in terms of the torque density, induced electromagnetic force, and efficiency.

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“…The polygon of the combined winding comes closer to the circle. 978-1-4577-0061-3/11/$26.00 ©2011 IEEE As stated in [4], the harmonic content is smaller the closer the polygon is to a circle. Two-layer windings can be built up with chorded coils.…”

Section: Introductionmentioning

confidence: 97%

“…Six-phase windings (also the discussed combined winding) create only harmonics of the 11 th , 13 th , 23 rd , 25 th … orders. The theory of winding harmonics is discussed in detail in [3] and [4]. The smaller harmonic content can be easily introduced by the Goerges-Polygon shown in Fig.…”

Section: Introductionmentioning

confidence: 99%

Electrical machines with higher efficiency through combined star-delta windings

Kasten

Hofmann

2011

2011 IEEE International Electric Machines &Amp; Drives Conference (IEMDC)

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Combined windings have higher fundamental winding factors and produce smaller harmonic contents. Therefore, the efficiency can be increased without any additional active mass. This paper presents specifics of the combined windings. Special topics are the higher efficiency in comparison to machines with the same size and classical windings, design and calculation of combined windings, winding technique and experimental results of a 30 kW standard asynchronous motor.

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A mathematical development of the theory of the magnetomotive force of windings

Cited by 6 publications

References 0 publications

Design and Analysis of Surface-Mounted PM Vernier Machines Considering Harmonic Characteristics of Winding MMF

Design and Analysis of Surface-Mounted PM Vernier Machines Considering Harmonic Characteristics of Winding MMF

Influences of Winding MMF Harmonics on Torque Characteristics in Surface-Mounted Permanent Magnet Vernier Machines

Electrical machines with higher efficiency through combined star-delta windings

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