Strategies for two‐dimensional and three‐dimensional field computation in the design of permanent magnet motors

Wojciechowski, Rafał; Jędryczka, Cezary; Demenko, Andrzej; Sykulski, J.K.

doi:10.1049/iet-smt.2014.0189

Cited by 8 publications

(6 citation statements)

References 15 publications

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“…The error due to the omission of the third field component decreases as the core thickness increases (see dimension b in Figure 2a) [59]. According to the strategy discussed in [59] the obtained results by means of a 2D model have been verified by a more precise, but also more computationally-complex 3D model of the magnetic field in the exciter. The magnetic flux density distributions in the working gap δ for different lengths of this gap have been analyzed and the results of the comparison between the 2D and 3D FEM models are shown in Figure 7.…”

Section: Analysis Of Magnetic Field Excitersmentioning

confidence: 63%

“…As a consequence of this assumption, a two-dimensional distribution of the magnetic field in the area of the core, magnets, and air-gaps in the magnetic circuit is assumed. The error due to the omission of the third field component decreases as the core thickness increases (see dimension b in Figure 2a) [59]. According to the strategy discussed in [59] the obtained results by means of a 2D model have been verified by a more precise, but also more computationally-complex 3D model of the magnetic field in the exciter.…”

Section: Analysis Of Magnetic Field Excitersmentioning

confidence: 63%

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Finite Element Analysis of Magnetic Field Exciter for Direct Testing of Magnetocaloric Materials’ Properties

Łyskawiński¹,

Szeląg²,

Jędryczka³

et al. 2021

Energies

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The paper presents research on magnetic field exciters dedicated to testing magnetocaloric materials (MCMs) as well as used in the design process of magnetic refrigeration systems. An important element of the proposed test stand is the system of magnetic field excitation. It should provide a homogeneous magnetic field with a controllable value of its intensity in the MCM testing region. Several concepts of a magnetic circuit when designing the field exciters have been proposed and evaluated. In the MCM testing region of the proposed exciters, the magnetic field is controlled by changing the structure of the magnetic circuit. A precise 3D field model of electromagnetic phenomena has been developed in the professional finite element method (FEM) package and used to design and analyze the exciters. The obtained results of the calculations of the magnetic field distribution in the working area were compared with the results of the measurements carried out on the exciter prototype. The conclusions resulting from the conducted research are presented and discussed.

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Section: Analysis Of Magnetic Field Excitersmentioning

confidence: 63%

Section: Analysis Of Magnetic Field Excitersmentioning

confidence: 63%

Finite Element Analysis of Magnetic Field Exciter for Direct Testing of Magnetocaloric Materials’ Properties

Łyskawiński¹,

Szeląg²,

Jędryczka³

et al. 2021

Energies

Self Cite

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“…where the product of loop matrices k o and k T o as well as matrix of the branch reluctances R µg represents the loop reluctance matrix, i.e., matrix R µo [28], φ is the vector of the edge values of potential A (i.e., loop fluxes of 2D RN) [22]; and Θ g is the vector of branch magnetomotive forces (mmfs). The product of the transposed loop matrix k o and the branch magnetomotive forces Θ g represents the vector of loop magnetomotive forces Θ(mmfs).…”

Section: Edge Element Model Of Inductor/choke Using Hbmmentioning

confidence: 99%

Analysis of the Distributions of Displacement and Eddy Currents in the Ferrite Core of an Electromagnetic Transducer Using the 2D Approach of the Edge Element Method and the Harmonic Balance Method

Ludowicz

Wojciechowski

2021

Energies

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The negative impact of the displacement currents on the operation of electromagnetic converters results in additional losses and faster insulation degradation, as well as the self-resonance phenomenon. Effective measurement of the dielectric displacement currents in converters is quite complex; thus, advanced simulation programs should be used. However, currently, they do not enable the analysis of the systems in terms of the displacement currents distribution. In order to elaborate an effective tool for analyzing the distribution of the displacement currents by means of the Finite Element Method, we have decided to supplement the well-known reluctance-conductance network model with an additional capacitance model. In the paper, equations for the linked reluctance-conductance-capacitance network model have been presented and discussed in detail. Moreover, we introduce in the algorithm the Harmonic Balance Finite Element Method (HBFEM) and the Fixed-Point Method. This approach enables us to create a field model of electromagnetic converters, which includes the electromagnetic core’s saturation effect. The application of these methods for the reluctance-conductance-capacitance model of the finite element has allowed us to develop a practical tool ensuring complex analysis of the magnetic flux, eddy, and the displacement currents’ distribution in electromagnetic converters with an axial symmetrical structure.

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“…The method was implemented as 2D, as many authors (Wojciechowski et al , 2015) indicate that 2D analysis is sufficiently accurate for traditional PM synchronous machines (ratio of rotor length to rotor diameter is about 2, see machine datasheet in Table I). The 3D simulation is an option; it may be required in the case of skewed stator slots, different length of stator and rotor.…”

Section: Design and The Model Simulation Of Pm High-speed Synchronous Generatormentioning

confidence: 99%

“…The methods for calculating the magnetic flux density distribution by finite element analysis (FEA) for 2D and 3D are discussed by many authors (Krawczyk and Tegopoulos, 1993; Pyrhonen et al , 2008; Danilevich et al , 2010; Wojciechowski et al , 2015; Boguslavskii et al , 2016). In general, it is required to run 3D transient magnetic analysis with motion.…”

Section: Introductionmentioning

confidence: 99%

Harmonic losses in high-speed PM synchronous machines

Kruchinina

Khozikov²,

Liubimtsev

et al. 2017

COMPEL

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Purpose The purpose of this paper is the development of a new numerical method for the calculation of the air-gap magnetic flux harmonics in synchronous machines with permanent magnet (PM) excitation. The harmonic analysis results are used as input data for the eddy-current loss calculation and for the rotor heating evaluation. Design/methodology/approach The method is based on the finite element analysis (FEA). The model takes into account toothed stator design, rotor asymmetrical magnetic reluctance and saturation. At first, a series of static DC magnetic (magnetostatic) simulations is run. Each problem corresponds to specific rotor position and the momentary stator winding currents. The Fourier analysis performed for each problem yields the harmonic spectrum variation in time. Then, a series of AC magnetic (time-harmonic) simulations is run. Each problem corresponds to a specific harmonic. The result is the eddy-current losses distribution. After total loss is calculated, the heat transfer analysis is conducted. Findings The analysis reveals that 90 per cent of losses are located in the sleeve that holds PMs together. Rotor eccentricity brings even harmonics of low magnitude that have little impact on heating. Originality/value In general, the study requires transient electromagnetic analysis with motion. The purposed method allows to simplify the problem. The method is based on static and quasi-static (time-harmonic) problems simulation. It is fast and highly automated. The method allows simultaneous taking into account of tooth-order harmonics, stator winding harmonics and eccentricity for heating calculation.

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Strategies for two‐dimensional and three‐dimensional field computation in the design of permanent magnet motors

Cited by 8 publications

References 15 publications

Finite Element Analysis of Magnetic Field Exciter for Direct Testing of Magnetocaloric Materials’ Properties

Finite Element Analysis of Magnetic Field Exciter for Direct Testing of Magnetocaloric Materials’ Properties

Analysis of the Distributions of Displacement and Eddy Currents in the Ferrite Core of an Electromagnetic Transducer Using the 2D Approach of the Edge Element Method and the Harmonic Balance Method

Harmonic losses in high-speed PM synchronous machines

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