General Formulation of the Electromagnetic Field Distribution in Machines and Devices Using Fourier Analysis

Gysen, B.L.J.; Meessen, K. J.; Paulides, Jjh Johannes; Lomonova, E. A.

doi:10.1109/tmag.2009.2027598

Cited by 263 publications

(169 citation statements)

References 20 publications

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“…This set is implemented in MATLAB R (R2015a, MathWorks, Natick, MA, USA) by using the sparse matrix/vectors [1]. Usually, the two reasons for the possibility of including a finite number of harmonics is a limiting computational time and numerical accuracy [45].…”

Section: Determination Of Integral Constantsmentioning

confidence: 99%

New Scientific Contribution on the 2-D Subdomain Technique in Polar Coordinates: Taking into Account of Iron Parts

Dubas

Boughrara

2017

MCA

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This paper presents a new scientific contribution to the two-dimensional red(2-D) subdomain technique in polar coordinates taking into account the finite relative permeability of the ferromagnetic material. The constant relative permeability corresponds to the linear part of the nonlinear B(H) curve. As in the conventional technique, the separation of variables method and the Fourier series are used for the resolution of magnetostatic Maxwell equations in each region. The general solutions of the magnetic field in subdomains, as well as the boundary conditions (BCs) between regions are different from the conventional method. In the proposed method, the magnetic field solution in each subdomain is a superposition of two magnetic quantities in the two directions (i.e., r-and Θ-axis), and the BCs between two regions are also in both directions. For example, the scientific contribution has been applied to an air-or iron-cored coil supplied by a constant current. The distribution of local quantities (i.e., the magnetic vector potential and flux density) has been validated by a corresponding 2-D finite-element analysis (FEA). The obtained semi-analytical results are in very good agreement with those of the numerical method.

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Section: Determination Of Integral Constantsmentioning

confidence: 99%

New Scientific Contribution on the 2-D Subdomain Technique in Polar Coordinates: Taking into Account of Iron Parts

Dubas

Boughrara

2017

MCA

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“…Several analytical, semianalytical, and numerical techniques exist in the literature to model electrical machines [5]. In general, each type of problem will have its own optimal modeling technique, since ultimate accuracy is not always required and a low computational time could be more useful especially when trying to optimize electromagnetic devices.…”

Section: Analytical Approachmentioning

confidence: 99%

“…As a reference, the shear stress is taken in the middle of the outer air gap, where the single layer with back-iron constitutes to 35 kPa instead of 47.5 kPa as estimated for the brushless ac machine with an rms current density of 5 . However, for the double and triple layers, this has increased to 49.4 and 56.5 kPa, respectively.…”

Section: Multiple Air-gap Machine Analysismentioning

confidence: 99%

Influence of Multiple Air Gaps on the Performance of Electrical Machines With (Semi) Halbach Magnetization

et al. 2011

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The ever increasing necessity to improve torque density while simultaneously maintaining high efficiency is a constant point of concern for electrical machine designers. This is mainly driven by the need for direct-drive solutions in evermore applications. This paper presents a general mesh-free description of the magnetic field distribution in multiple air-gap electromagnetic machines, although the tool is also useful for single air-gap machines, actuators, and other magnetic devices. The used method is based on transfer relations and Fourier theory, which can provide the magnetic field solution for a wide class of 2-D boundary value problems. This technique is in this paper applied to the rotary multiple air-gap machine with slotless (without slots but with and without rotor back-iron) armature. The presented analysis is compared to finite-element analysis for the multiple-layer winding, which shows the applicability of this method for future optimization. It is shown that multiple air-gap machines make better use of the volume and for short axial lengths where a single-side bearing configuration can be utilized provides a means to improve the achievable torque density.

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“…All of the aforementioned authors have reported good accordance with FE calculations. In [20], a general formulation for the calculation of the flux density using the subdomain model is developed.…”

Section: Introductionmentioning

confidence: 99%

Comparison of Three Analytical Methods for the Precise Calculation of Cogging Torque and Torque Ripple in Axial Flux PM Machines

Hemeida

Hannon

Vansompel

et al. 2016

Mathematical Problems in Engineering

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A comparison between different analytical and finite-element (FE) tools for the computation of cogging torque and torque ripple in axial flux permanent-magnet synchronous machines is made. 2D and 3D FE models are the most accurate for the computation of cogging torque and torque ripple. However, they are too time consuming to be used for optimization studies. Therefore, analytical tools are also used to obtain the cogging torque and torque ripple. In this paper, three types of analytical models are considered. They are all based on dividing the machine into many slices in the radial direction. One model computes the lateral force based on the magnetic field distribution in the air gap area. Another model is based on conformal mapping and uses complex Schwarz Christoffel (SC) transformations. The last model is based on the subdomain technique, which divides the studied geometry into a number of separate domains. The different types of models are compared for different slot openings and permanent-magnet widths. One of the main conclusions is that the subdomain model is best suited to compute the cogging torque and torque ripple with a much higher accuracy than the SC model.

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General Formulation of the Electromagnetic Field Distribution in Machines and Devices Using Fourier Analysis

Cited by 263 publications

References 20 publications

New Scientific Contribution on the 2-D Subdomain Technique in Polar Coordinates: Taking into Account of Iron Parts

New Scientific Contribution on the 2-D Subdomain Technique in Polar Coordinates: Taking into Account of Iron Parts

Influence of Multiple Air Gaps on the Performance of Electrical Machines With (Semi) Halbach Magnetization

Comparison of Three Analytical Methods for the Precise Calculation of Cogging Torque and Torque Ripple in Axial Flux PM Machines

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