2D analytical model for heteropolar active magnetic bearings considering eccentricity

Shakibapour, F.; Rahideh, Akbar; Mardaneh, Mohammad

doi:10.1049/iet-epa.2017.0669

Cited by 17 publications

(14 citation statements)

References 22 publications

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“…By dividing the machine into several subdomain regions, solving Maxwell equations within each region, and applying Fourier series to satisfy the boundary conditions, the magnetic field distribution can be achieved [18], [19]. In fact, various machine topologies have been investigated by using the subdomain model method [20][21][22][23][24][25]. In fact, the calculation time of FEM increases immensely with the size of electric machine.…”

Section: Introductionmentioning

confidence: 99%

Analytical model for magnetic‐geared double‐rotor machines and its d–q ‐axis determination

Hong

Liu

Song

et al. 2020

IET Electric Power Applications

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This paper presents an analytical subdomain model for the prediction of various electromagnetic parameters of magnetic-geared double-rotor machine (MGDRM). By dividing the MGDRM into six subdomains and solving the Maxwell equations in polar coordinates for each region, the vector magnetic potential distribution can be derived. Subsequently, the flux density distribution, back electromotive force (EMF), and output torque, can be calculated. Furthermore, based on the proposed model, the equivalent d-q axis is elaborated. Also, the corresponding d and q inductance can be obtained. It proves that the MGDRM can be regarded as a non-salient-pole synchronous machine. Besides, the power factor of the MGDRM under i d =0 control is deduced and optimized for the different thicknesses of modulators. In addition, the demagnetization capability is analysed by adopting the subdomain model. Finally, the accuracy of proposed subdomain model for MGDRMs is validated via the finite-element method (FEM). Nomenclature A z Vector magnetic potential. B r , B θ Radial and tangential component of magnetic flux density. M , J Magnetization vector of magnets, Current density vector. μ 0 Magnetic permeability of vacuum. P, Q Number of stator slots and modulator pieces. P i Pole pair Number of inner rotor permanent magnets (PMs). β, γ, δ Modulator opening angle, stator slot width angle and slot opening angle. φ 0 , θ 0 Initial circumferential position of the inner rotor and modulator. θ i , θ j , J l Circumferential positions of PMs, i th modulator opening and j th slot opening, current density in the l th slot

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Section: Introductionmentioning

confidence: 99%

Analytical model for magnetic‐geared double‐rotor machines and its d–q ‐axis determination

Hong

Liu

Song

et al. 2020

IET Electric Power Applications

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“…Turbomolecular vacuum pumps are very important apparatuses in obtaining and maintaining high vacuum, which have been widely applied to the semiconductor manufacturing, general ultra‐high vacuum research, high energy physics applications, and so on [1–3]. Compared with traditional vacuum pumps with the oil‐lubricated bearings, turbomolecular vacuum pumps supported by the active magnetic bearings (AMBs) have remarkable features in supporting the rotor with no‐oil lubrication, no‐contact, no‐wear, low maintenance cost, and the ability of suppressing vibration actively [4–10]. The MSTMP is driven by a motor and supported by AMBs in five degree‐of‐freedom (DOF) directions.…”

Section: Introductionmentioning

confidence: 99%

“…Most of the references mentioned above are loss analysis of motors, such as [14–22]. The losses of the MB are only analysed in [23–5]. The MSTMPs are well recognised as an attractive apparatus for an ultra‐clean and ultra‐high vacuum environment application, however few literatures introduce its loss estimation and thermal field analysis systematically.…”

Section: Introductionmentioning

confidence: 99%

Loss estimation, thermal analysis, and measurement of a large‐scale turbomolecular pump with active magnetic bearings

Han

Zhang

et al. 2020

IET Electric Power Applications

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Temperature rise subjected to the copper losses and iron losses is an important issue for a magnetically suspended turbomolecular pump (MSTMP). In this study, the loss estimation, thermal analysis, and temperature rise measurement of a large‐scale MSTMP are investigated. The copper losses and the iron core losses of two radial magnetic bearings, a thrust magnetic bearing, and a brushless direct current motor (BLDCM) are predicted by the analytical models. Based on the predicted loss values, the heat generation rates in the different parts of the large‐scale MSTMP are calculated, then the thermal field of the prototype is analysed by the 3D finite‐element model. The maximum temperatures estimated for the rotor part and stator part are located at the rotor sleeve and the winding end of BLDCM, which are 68.5 and 55.2 °C, respectively. The loss calculation and thermal field prediction is validated by the temperature rise test in a prototype of large‐scale MSTMP with pumping speed of 4100 L/s, ultimate vacuum of 1.8 × 10−7 Pa, and rated speed of 21,000 r/min. The maximum error between the estimated and the measured temperature rise values is <5%.

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“…Two AMs are widely used to solve the eccentricity problems. The first one is the perturbation method [2]- [4], which only considers up to the first-order term by Taylor series expansion within a small eccentricity range, and the other one deploys the superposition method [5], [6] in which the original eccentric state is first divided into several concentric states to consider then to be superposed. However, the previous work only focuses on the respective analysis and application of two methods.…”

Section: Introductionmentioning

confidence: 99%

Performance Comparison of Analytical Models for Rotor Eccentricity: A Case Study of Active Magnetic Bearing

Cao

Huang

Guo³

et al. 2020

JMAG

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This paper applies two different analytical methods, i.e., the perturbation method and superposition method, to calculate the magnetic flux density distribution and the magnetic force of the active magnetic bearing (AMB) with the rotor eccentricity. These two methods are thoroughly analyzed, compared and validated by the finite element model (FEM). The perturbation method is theoretically complex while the superposition method is intuitive. The valid range of the superposition method is larger than the perturbation method. However, the superposition method requires longer computation time. The main contribution of this paper is assessing the effectiveness of two analytical methods for predicting the AMB performance with the rotor eccentricity and giving a comprehensive guideline for engineers to choose the proper analytical method to design AMB.

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2D analytical model for heteropolar active magnetic bearings considering eccentricity

Cited by 17 publications

References 22 publications

Analytical model for magnetic‐geared double‐rotor machines and its d–q ‐axis determination

Analytical model for magnetic‐geared double‐rotor machines and its d–q ‐axis determination

Loss estimation, thermal analysis, and measurement of a large‐scale turbomolecular pump with active magnetic bearings

Performance Comparison of Analytical Models for Rotor Eccentricity: A Case Study of Active Magnetic Bearing

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