Two-Dimensional Field Analysis of Cylindrical Machines with Permanent Magnet Excitation

Boules, Nady

doi:10.1109/tia.1984.4504593

Cited by 102 publications

(77 citation statements)

References 3 publications

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“…-Saturation coefficient: It represents the ratio between the total magnetomotive force (MMF) required for the entire magnetic circuit and the air-gap MMF [32]. The main magnetic saturation is included in the saturation factor, in an iterative way, by using the nonlinear B(H) curve.…”

Section: State-of-the-art: Saturation In Maxwell-fourier Methodsmentioning

confidence: 99%

“…The saturation effect is accounted for by modifying the air-gap length [32][33][34] or by changing the physical properties of magnets (in this case, the saturated load operation is calculated by considering an equivalent no-load operation with a fictitious magnet having a remanent flux density that creates the same MMF as the one created by both real magnet and stator MMF) [35]. The analytical magnetic field distribution is mainly determined in one or two regions (viz., air-gap or air-gap/magnets) of slotless machines by applying the Carter's coefficient [32]. The slotting effect can be neglected [32,35] or taken into account through the SC mapping method [33,34].…”

Section: State-of-the-art: Saturation In Maxwell-fourier Methodsmentioning

confidence: 99%

“…The analytical magnetic field distribution is mainly determined in one or two regions (viz., air-gap or air-gap/magnets) of slotless machines by applying the Carter's coefficient [32]. The slotting effect can be neglected [32,35] or taken into account through the SC mapping method [33,34]. The magnetic fluxes in the stator/rotor iron cores are obtained from the air-gap magnetic field [32,33,35] or/and with a simple MEC [34].…”

Section: State-of-the-art: Saturation In Maxwell-fourier Methodsmentioning

confidence: 99%

“…The magnetic fluxes in the stator/rotor iron cores are obtained from the air-gap magnetic field [32,33,35] or/and with a simple MEC [34]. This technique has been applied to surface-mounted/-inset magnets machines [32][33][34][35], surface-inset magnet machines [33], and others electrical machines.…”

Section: State-of-the-art: Saturation In Maxwell-fourier Methodsmentioning

confidence: 99%

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

Dubas

Boughrara

2017

MCA

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Abstract:The most significant assumptions in the subdomain technique (i.e., based on the formal resolution of Maxwell's equations applied in subdomain) is defined by: The iron parts (i.e., the teeth and the back-iron are considered to be infinitely permeable, i.e., µ iron → +∞, so that the saturation effect is neglected. In this paper, the authors present a new scientific contribution on improving of this method in two-dimensional (2-D) and in Cartesian coordinates by focusing on the consideration of iron. The subdomains connection is carried out in the two directions (i.e., x-and y-edges). For example, the improvement was performed by solving magnetostatic Maxwell's equations for an air-or iron-cored coil supplied by a direct current. To evaluate the efficacy of the proposed technique, the magnetic flux density distributions have been compared with those obtained by the 2-D finite-element analysis (FEA). The semi-analytical results are in quite satisfying agreement with those obtained by the 2-D FEA, considering both amplitude and waveform.

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Section: State-of-the-art: Saturation In Maxwell-fourier Methodsmentioning

confidence: 99%

Section: State-of-the-art: Saturation In Maxwell-fourier Methodsmentioning

confidence: 99%

Section: State-of-the-art: Saturation In Maxwell-fourier Methodsmentioning

confidence: 99%

Section: State-of-the-art: Saturation In Maxwell-fourier Methodsmentioning

confidence: 99%

See 2 more Smart Citations

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

Dubas

Boughrara

2017

MCA

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“…• Multi-layer models (i.e., Carter's coefficient [19,20], saturation coefficient [21,22], concept wave impedance [23][24][25][26] and convolution theorem [27][28][29][30]); • Eigenvalues model, viz., the method of truncation region eigenfunction expansions (TREE) [31,32];…”

Section: Introductionmentioning

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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A review on analytical models of brushless permanent magnet machines

Abbas,

Iqbal,

Lewicki

et al. 2023

Int J Numerical Modelling

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This study provides an in‐depth investigation of the use of analytical and numerical methods in analyzing electrical machines. Although numerical models such as the finite‐element method (FEM) can handle complex geometries and saturation effects, they have significant computational burdens, are time‐consuming, and are inflexible when it comes to changing machine geometries or input values. Analytical models based on magnetic equivalent circuits (MEC) or solving Maxwell's equations can be faster and more flexible, but less accurate for complex machine structures. The paper focuses on the recent development of analytical models for brushless permanent‐magnet (PM) machines that have become increasingly popular in low and medium‐power applications. The literature review covers the recent developments in analytical models for PM machines with respect to various machine quantities such as magnetic flux density components, induced voltage, inductances, electromagnetic force/torque, efficiency, or unbalanced magnetic force (UMF). It outlines the advantages and disadvantages of different analytical models such as the zero‐dimensional (0‐D), one‐dimensional (1‐D), two‐dimensional (2‐D), and three‐dimensional (3‐D) analytical methods, as well as the Maxwell and basic mathematical analysis. Although the MEC models are faster than the numerical model, they are not as accurate for various structures of electrical machines including a great magnetic air gap. They also note that the analytical models based on the Maxwell equations are faster than the numerical ones and have the potential to obtain acceptable accuracy similar to the numerical models in electrical machines. Overall, this literature review provides valuable insights for researchers and engineers in selecting appropriate analytical models for PM machines. It highlights the trade‐offs between accuracy and computational efficiency when choosing between numerical and analytical models, and the flexibility of analytical models to address changes in machine geometries or input values. Additionally, this helps researchers save time in determining appropriate references regarding the analytical models of brushless PM machines.

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Two-Dimensional Field Analysis of Cylindrical Machines with Permanent Magnet Excitation

Cited by 102 publications

References 3 publications

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

New Scientiﬁc Contribution on the 2-D Subdomain Technique in Cartesian 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

A review on analytical models of brushless permanent magnet machines

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