Analytical Modeling of Open-Circuit Air-Gap Field Distributions in Multisegment and Multilayer Interior Permanent-Magnet Machines

Zhu, Li; Jiang, Shan; Zhu, Z. Q.; Chan, C. C.

doi:10.1109/tmag.2009.2019841

Cited by 125 publications

(9 citation statements)

References 29 publications

(60 reference statements)

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“…In this case, the rotating shaft of the rotor is aligned with neither the center of the rotor nor the center of the stator (Figure 2c). The effect of the eccentricities can be taken into account by multiplying the magnetic flux density of the air gap in a machine without eccentricity by (12). This distribution function, (13), defines the variation of the air-gap reluctance due to the eccentricity.…”

Section: Magnetic Forces Due To Eccentricitiesmentioning

confidence: 99%

“…Several methods for developing analytical models can be found in the literature. Probably the most extended methods are the lumped parameter models [11,12] and models developed by Fourier series [13,14]. The lumped parameter models can be described as very simplified FEM calculations, since the problem is divided into big elements and several parameters, such as flux sources and reluctances, are associated with each element.…”

Section: Introductionmentioning

confidence: 99%

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Analytical Model to Calculate Radial Forces in Permanent-Magnet Synchronous Machines

Gómez¹,

Garcia²,

McCloskey

et al. 2021

Applied Sciences

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There are three principal sources of noise and vibration in electrical machines: electromagnetic sources, mechanical sources, and aerodynamic sources. Nowadays, one of the major advantages of permanent-magnet synchronous machines is their torque density. This density is achieved through a high magnetic flux density in the air gap, which is achieved through hard magnets. Unfortunately, in these machines, electromagnetic forces have been identified as the main source of vibration and noise, and high magnetic flux densities make these vibrations and noises more significant. With the aim of better understanding the relationship between electromagnetic forces and design variables, this article, which is the continuation of previous work, firstly describes a study of the sources of magnetic forces in permanent-magnet synchronous machines. Subsequently, an analytical model for the computation of the radial forces originating from electromagnetic sources in permanent-magnet synchronous machines is stated. This model analyzes the forces on both the rotor surface and the base of the stator tooth. The analytical results were corroborated through simulations using the finite element method (FEM) and also by experimental tests performed over two prototypes. The results achieved by the analytical model show good agreement with both FEM results and experimental measurements.

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Section: Magnetic Forces Due To Eccentricitiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analytical Model to Calculate Radial Forces in Permanent-Magnet Synchronous Machines

Gómez¹,

Garcia²,

McCloskey

et al. 2021

Applied Sciences

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show abstract

“…Different authors have presented simple magnetic circuits for different PMSM topologies [14][15][16]. The results are acceptable as a first estimation of the machine performance, but they are not comprehensive enough if a transient analysis or a deeper study is required.…”

Section: Introductionmentioning

confidence: 99%

Node Mapping Criterion for Highly Saturated Interior PMSMs Using Magnetic Reluctance Network

et al. 2018

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Interior Permanent Magnet Synchronous Machine (IPMSM) are high torque density machines that usually work under heavy load conditions, becoming magnetically saturated. To obtain properly their performance, this paper presents a node mapping criterion that ensure accurate results when calculating the performance of a highly saturated IPMSM via a novel magnetic reluctance network approach. For this purpose, a Magnetic Circuit Model (MCM) with variable discretization levels for the different geometrical domains is developed. The proposed MCM caters to V-shaped IPMSMs with variable magnet depth and angle between magnets. Its structure allows static and dynamic time stepping simulations to be performed by taking into account complex phenomena such as magnetic saturation, cross-coupling saturation effect and stator slotting effect. The results of the proposed model are compared to those obtained by Finite Element Method (FEM) for a number of IPMSMs obtaining excellent results. Finally, its accuracy is validated comparing the calculated performance with experimental results on a real prototype.

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“…Owing to the influence of parameters, such as the stator slot shape and stator and rotor yoke size and shape, the correction coefficient is difficult to obtain accurately, thereby reducing the accuracy of the magnetic circuit method. The subdomain method [10][11][12] divides the motor geometry into three subdomains: air gap, permanent magnet, and slots, and establishes the Laplace (or Poisson) equations of each subdomain through the boundary conditions. Considering that the structure of a megawatt PMDG is relatively complex and the number of stator slots can reach 500, 13 it is difficult to solve the Laplace equations.…”

mentioning

confidence: 99%

“…Compared with the traditional magnetic circuit and subdomain methods, the conformal mapping method has higher calculation accuracy. However, the aforementioned methods [9][10][11][12][14][15][16][17] are limited in that considering the magnetic saturation effect caused by the nonlinearity of ferromagnetic materials is difficult. The magnetic equivalent circuit method [18][19][20] based on Kirchhoff's law is a method for quantitative analysis of a motor, and the magnetic saturation effect can be considered.…”

mentioning

confidence: 99%

Dynamic characteristics of large permanent magnet direct‐drive generators considering electromagnetic–structural coupling effects

Han

Yan

et al. 2023

Int Journal of Mech Sys Dyn

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Dynamic characteristics of large permanent magnet direct‐drive generators (PMDGs) considering electromagnetic–structural coupling effects are analyzed in this study. Using the conformal mapping method, the scalar magnetic potential of the air gap magnetic field considering the slot effect is calculated. On the basis of the discrete current element and magnetic equivalent circuit model, the local magnetic saturation effect of the stator and rotor is quantitatively simulated and the air gap magnetic field intensity distribution is obtained via numerical simulation. A series of uniformly distributed equivalent electromagnetic springs are introduced to develop an electromagnetic–structural coupling finite element PMDG model. The proposed air gap field analysis method is verified by the finite element analysis results. On the basis of the test platform for the Goldwind 1.5 MW PMDG, both modal and dynamic response tests for the stator/rotor coupling system are conducted, and the results are compared with the natural frequencies, mode shapes, and vibration responses obtained using the numerical model. The effects of the air gap length and rotor speed on the natural frequencies of the coupling system are analyzed. The proposed model has the potential to accurately evaluate the PMDG vibration energy, avoiding resonance points, and maintaining stable operations of the unit.

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Analytical Modeling of Open-Circuit Air-Gap Field Distributions in Multisegment and Multilayer Interior Permanent-Magnet Machines

Cited by 125 publications

References 29 publications

Analytical Model to Calculate Radial Forces in Permanent-Magnet Synchronous Machines

Analytical Model to Calculate Radial Forces in Permanent-Magnet Synchronous Machines

Node Mapping Criterion for Highly Saturated Interior PMSMs Using Magnetic Reluctance Network

Dynamic characteristics of large permanent magnet direct‐drive generators considering electromagnetic–structural coupling effects

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