Analytical Modeling of Magnetic Air-Gap Field Distribution Due to Armature Reaction

Gerlando, A. Di; Ricca, Claudio

doi:10.3390/en16083301

Cited by 5 publications

(5 citation statements)

References 17 publications

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“…The slotted condition is then considered through a complex airgap permeance function. Then, authors extend the work by analysing the airgap magnetic field distribution due to armature reaction and due to the permanent magnets arranged in an Halbach array, in [46], [48], respectively. Results show that the analytical approach matches almost everywhere the FEM results.…”

Section: ) Methods Of Imagesmentioning

confidence: 99%

“…Both analytical, semi-analytical and numerical methods exist in the literature, they can be classified as: subdomain modelling technique [32] [48], hybrid approaches [49]- [51] and Finite Element Method (FEM) [52] [53] [42].…”

Section: A Magnetic Field Computationmentioning

confidence: 99%

“…The Halbach arrangement for slotless structures results in a perfect curve overlap with 2D FEM simulations [46]. In some areas, errors of 10% on the airgap field distribution due to armature reaction were found [48]. Table I provides a brief comparison of the presented methods.…”

Section: ) Femmentioning

confidence: 99%

See 2 more Smart Citations

Noise and vibration modelling of Permanent Magnet Synchronous Motors - a review

Soresini,

Barri,

Ballo

et al. 2024

IEEE Trans. Transp. Electrific.

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This paper provides an overview of current Noise Vibration and Harshness (NVH) challenges for the design of Permanent Magnet Synchronous Motors (PMSMs) for automotive applications. Particular attention is devoted to analytical and numerical methods utilized in NVH modelling. Electromagnetic force computation, motor structural modelling and acoustic emission calculation are reviewed focusing on NVH emissions. The literature reveals, as expected, that analytical methods are simpler than numerical ones, and are usually employed during the preliminary design stage. Numerical methods are adopted in the detailed design stage as the computational cost increases. PMSMs are selected for high performance and high efficiency motor drives, they are widely adopted in the actual transition to vehicle electrification. The paper provides guidelines for facing NVH design issues of PMSMs.

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Section: ) Methods Of Imagesmentioning

confidence: 99%

Section: A Magnetic Field Computationmentioning

confidence: 99%

See 1 more Smart Citation

Noise and vibration modelling of Permanent Magnet Synchronous Motors - a review

Soresini,

Barri,

Ballo

et al. 2024

IEEE Trans. Transp. Electrific.

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“…In [22], the magnetic field distribution generated by a surface permanent magnet inside the air gap of a linear slotted machine has been investigated, and in [23], the air-gap field distribution has been obtained for the armature reaction, due to stator windings. Both the models were created via an analytical approach based on the method of images [24].…”

Section: Introduction To the Model And Elementary Blocksmentioning

confidence: 99%

A Novel Analytical Formulation of the Magnetic Field Generated by Halbach Permanent Magnet Arrays

Di Gerlando,

Negri,

Ricca

2023

Magnetism

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This paper presents an analytical study of the air-gap magnetic field of a surface permanent magnet (SPM) linear, slot-less machine with a Halbach PM configuration, under the no-load condition. While other analytical formulations of the magnetic field generated by PMs are available, they exhibit some drawbacks, such as only providing a Fourier series, or being suitable to determine magnetic field average values, but not local magnetic field distributions. On the contrary, the proposed approach allows the determination of a unique, closed-form formulation for the slot-less machine air-gap field. This is obtained starting from the complex expression of the magnetic field of a conductor, inside the air gap, between two parallel smooth iron surfaces, obtained by means of the method of images. The magnetic field due to an infinitesimal conductor belonging to a current sheet is then integrated along a segment, providing the expression of the magnetic field due to the corresponding linear current density distribution, for current sheets perpendicular or parallel to the iron surfaces. Any Halbach PM segment disposition can, hence, be obtained via a suitable combination of field distributions generated by couples of current sheets with perpendicular and parallel orientation. Lastly, the no-load magnetic field expression with a Halbach array of PMs is retrieved. The proposed analytical model provides an accurate representation of the magnetic field distribution produced by any Halbach array, with an arbitrary number of segments and orientations. Additionally, the results obtained from the proposed analytical expressions are compared with FEM simulations realized by commercial software, and show an excellent agreement.

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“…A precise estimation of the air gap field inside electrical machines is really important in order to properly estimate local and integral quantities and thus predict machine performance. Most of the methods used in the literature start with the study of the air gap field between smooth ferromagnetic surfaces (slotless approach) [1][2][3][4][5][6] and subsequently, the effect on the field due to the presence of slotting is introduced, making use of a slotting function which can also be called the air gap relative permeance function.…”

Section: Introductionmentioning

confidence: 99%

Analytical Modelling of the Slot Opening Function

Di Gerlando,

Ricca

2023

Magnetism

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The slot opening function, also called relative air gap permeance, is a function which, multiplied by the flux density distribution of a slotless geometry, gives the flux density distribution of a slotted configuration. Here, the magnetic field inside the air gap of a multi-slot surface facing a smooth one was studied, by solving the Laplace equation inside the air gap, in terms of a Fourier series. To obtain the Fourier coefficients, at first, the conformal mapping analytical solution of a single-slot configuration along the smooth surface, was considered. Then, the principle of superposition of the single-slot lost flux density distributions was applied to obtain the multi-slot distribution. The approach is valid in general, and in the case of interference among the flux density distributions of adjacent slots, where their mutual effect cannot be neglected. The field distributions obtained by using the proposed slot opening functions were compared with FEM simulations, showing satisfactory agreement. The numerical accuracy limits were also analysed and discussed.

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Analytical Modeling of Magnetic Air-Gap Field Distribution Due to Armature Reaction

Cited by 5 publications

References 17 publications

Noise and vibration modelling of Permanent Magnet Synchronous Motors - a review

Noise and vibration modelling of Permanent Magnet Synchronous Motors - a review

A Novel Analytical Formulation of the Magnetic Field Generated by Halbach Permanent Magnet Arrays

Analytical Modelling of the Slot Opening Function

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