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1

Kasarda, M. E. F., P. E. Allaire, P. M. Norris, C. Mastrangelo, and E. H. Maslen. "Experimentally Determined Rotor Power Losses in Homopolar and Heteropolar Magnetic Bearings." Journal of Engineering for Gas Turbines and Power 121, no. 4 (October 1, 1999): 697–702. http://dx.doi.org/10.1115/1.2818529.

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The identification of parameters that dictate the magnitude of rotor power losses in radial magnetic bearings is very important for many applications. Low loss performance of magnetic bearings in aerospace equipment such as jet engines and flywheel energy storage systems is especially critical. Two basic magnetic bearing designs are employed in industrial practice today: the homopolar design, where the flux paths are of a mixed radial/axial orientation, and the heteropolar design, where the flux paths are primarily radial in nature. The stator geometry and flux path of a specific bearing can have a significant effect on the rotor losses. This paper describes the detailed measurement of rotor losses for experimentally comparable homopolar and heteropolar designs. The two test bearing configurations are identical except for geometric features that determine the direction of the flux path. Both test bearing designs have the same air gap length, tip clearance ratio, surface area under the poles, and bias flux levels. An experimental test apparatus was used where run down tests were performed on a test rotor with both bearing designs to measure power losses. Numerous test runs where made for each bearing configuration by running multiple levels of flux density. The components of the overall measured power loss, due to hysteresis, eddy currents, and windage, were determined based on theoretical expressions for power loss. It was found that the homopolar bearing had significantly lower power losses than the heteropolar bearing.
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2

Kenny, Andrew, and Alan B. Palazzolo. "Single Plane Radial, Magnetic Bearings Biased With Poles Containing Permanent Magnets." Journal of Mechanical Design 125, no. 1 (March 1, 2003): 178–85. http://dx.doi.org/10.1115/1.1541630.

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Magnetic bearings biased with permanent magnets have lower coil resistance power losses, and the magnets can also be used to help support a constant side load. In this paper, the performance of a single plane radial magnetic bearing biased with permanent magnets in several poles is presented. Although it has less load capacity and stiffness than a similarly sized electrically biased single plane heteropolar bearing, it does not require bias current, and its ratio of load capacity to coil resistance power loss is significantly better. This type of permanent magnet bearing has only a single plane of poles. It can be distinguished from the homopolar bearing type which has two planes and which can also be biased with permanent magnets. Magnetic circuit models for the novel single plane bearing are presented along with verification by finite element models. Equations for the key performance parameters of load capacity, stiffness, coil inductance and resistive power loss are also presented.
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3

Kurnyta-Mazurek, Paulina, Artur Kurnyta, and Maciej Henzel. "Measurement System of a Magnetic Suspension System for a Jet Engine Rotor." Sensors 20, no. 3 (February 6, 2020): 862. http://dx.doi.org/10.3390/s20030862.

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This paper presents laboratory results on the measurement system of a magnetic suspension bearing system for a jet engine rotor of an unmanned aerial vehicle (UAV). Magnetic suspension technology enables continuous diagnostics of a rotary machine and eliminates of the negative properties of classical bearings. This rotor-bearing system consists of two radial magnetic bearings and one axial (thrust) magnetic bearing. The concept of the bearing system with a magnetically suspended rotor for UAV is presented in this paper. Rotor geometric and inertial characteristics were assumed according to the parameters of a TS-21 jet engine. Preliminary studies of the measurement system of rotor engines were made on a laboratory stand with homopolar active magnetic bearings. The measurement system consisted of strain gauges, accelerometers, and contactless proximity sensors. During the research, strains were registered with the use of a wireless data acquisition (DAQ) system. Measurements were performed for different operational parameters of rotational rotor speed, control system parameters, and with the presence of disturbance signals from the control system. In this paper, obtained operational characteristics are presented and discussed.
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4

Yin, Shengjing, Fengxiao Huang, Yukun Sun, Ye Yuan, Yonghong Huang, and Chi Chen. "OPTIMUM DESIGN OF HOMOPOLAR RADIAL TWO-DEGREE-OF-FREEDOM HYBRID MAGNETIC BEARING." Progress In Electromagnetics Research M 84 (2019): 31–41. http://dx.doi.org/10.2528/pierm19061701.

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5

Jiancheng, Fang, Wang Xi, Wei Tong, Tang Enqiong, and Fan Yahong. "Homopolar 2-Pole Radial Permanent-Magnet Biased Magnetic Bearing With Low Rotating Loss." IEEE Transactions on Magnetics 48, no. 8 (August 2012): 2293–303. http://dx.doi.org/10.1109/tmag.2012.2192131.

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6

Eagleton, Robert D., and Martin N. Kaplan. "The radial magnetic field homopolar motor." American Journal of Physics 56, no. 9 (September 1988): 858–59. http://dx.doi.org/10.1119/1.15448.

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7

Kenny, A., A. Palazzolo, G. T. Montague, and A. F. Kascak. "Theory and Test Correlation for Laminate Stacking Factor Effect on Homopolar Bearing Stiffness." Journal of Engineering for Gas Turbines and Power 126, no. 1 (January 1, 2004): 142–46. http://dx.doi.org/10.1115/1.1615258.

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The effect of the laminate stacking factor on homopolar magnetic bearing performance is examined. Stacked laminates are used on the bearing rotor and in the stator. These laminate stacks have anisotropic permeability. Equations for the effect of the stacking factor on homopolar bearing position stiffness are derived. Numerical results are calculated and compared to measurements. These results provide an answer for the common discrepancy between test and theory for homopolar magnetic bearing position stiffnesses.
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8

Ren, Xiaojun, Jinji Sun, and Cunxiao Miao. "DYNAMICS AND STIFFNESS ANALYSIS OF A HOMOPOLAR MAGNETIC BEARING." Progress In Electromagnetics Research M 77 (2019): 29–40. http://dx.doi.org/10.2528/pierm18091503.

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9

Kang, Kyungdae, and Alan Palazzolo. "Homopolar Magnetic Bearing Saturation Effects on Rotating Machinery Vibration." IEEE Transactions on Magnetics 48, no. 6 (June 2012): 1984–94. http://dx.doi.org/10.1109/tmag.2012.2182776.

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10

Cao, Yu, Chuang Liu, Shushu Zhu, and Junyue Yu. "TEMPERATURE FIELD ANALYSIS AND OPTIMIZATION OF THE HOMOPOLAR MAGNETIC BEARING." Progress In Electromagnetics Research M 85 (2019): 105–14. http://dx.doi.org/10.2528/pierm19072801.

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11

Ye, Xiaoting, Qianyun Le, and Zhaowen Zhou. "A Novel Homopolar Four Degrees of Freedom Hybrid Magnetic Bearing." IEEE Transactions on Magnetics 56, no. 8 (August 2020): 1–4. http://dx.doi.org/10.1109/tmag.2020.3001935.

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12

Shelke, Santosh. "Controllability of Radial Magnetic Bearing." Procedia Technology 23 (2016): 106–13. http://dx.doi.org/10.1016/j.protcy.2016.03.005.

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13

SHINSHI, Tadahiko, Xiaoyou ZHANG, Chihiro IIJIMA, Kee-Bong CHOI, Lichuan LI, and Akira SHIMOKOHBE. "Precision Control of Radial Magnetic Bearing." Journal of the Japan Society for Precision Engineering 67, no. 11 (2001): 1803–7. http://dx.doi.org/10.2493/jjspe.67.1803.

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14

Falkowski, Krzysztof, and Maciej Henzel. "High Efficiency Radial Passive Magnetic Bearing." Solid State Phenomena 164 (June 2010): 360–65. http://dx.doi.org/10.4028/www.scientific.net/ssp.164.360.

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Passive magnetic bearing with Halbach array is presented in this paper. The array uses permanent magnets with radial and axial magnetization to augment the magnetic field on one side of the array and cancel it on the other side. The design of the bearing consists of ring-shaped magnets of 60x70 mm and 75x85 mm with different orientation of magnetization. The designed passive magnetic bearing has air gap of 2.5 mm, stiffness 129297 N/m and maximal value of load 200 N. The bearing ensures magnetic levitation and stabilization of rotor in a work point. The paper presents the design of the passive magnetic bearing as well as the experimental setup together with investigation results.
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15

Stadler, Manuel, Thomas Weiler, and Friedrich Bleicher. "Radial self-stabilizing reluctance magnetic bearing." Procedia CIRP 99 (2021): 92–97. http://dx.doi.org/10.1016/j.procir.2021.03.031.

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16

Guan, Xiang, Yincai Zou, Jin Shang, Liangwei Zheng, Xing Bian, Jihao Wu, and Qing Li. "Calculation of radial force of radial HTS magnetic bearing." Cryogenics 116 (June 2021): 103284. http://dx.doi.org/10.1016/j.cryogenics.2021.103284.

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17

UEDA, Yuto, Toru MASUZAWA, and Masahiro OSA. "Maglev motor using the homopolar magnetic bearing for a ventricular assist device." Proceedings of Ibaraki District Conference 2018.26 (2018): 514. http://dx.doi.org/10.1299/jsmeibaraki.2018.26.514.

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18

Kim, Konstantin, and Konstantin Kim. "THE STUDY OF TAPERED MAGNETIC BEARING." Bulletin of scientific research results, no. 4 (December 17, 2017): 129–39. http://dx.doi.org/10.20295/2223-9987-2017-4-129-139.

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Objective: To justify the choice of tapered magnetic bearing parameters (with combined radial and axial control), to elaborate recommendations, the fulfillment of which will make it possible to significantly improve the characteristics of rotating rotor magnetic levitation of an electric machine. Methods: Analytical methods of traditional electric engineering, as well as the laboratory-based method. Results: It was established that: the control along radial and axial coordinates is independent, despite the fact that steering forces are created by common electromagnets; linear approximation allowing for small oscillations in radial and axial directions the stability of holding rotating rotor is provided by the same laws of control as for a standard circular magnetic bearing; the latter are characterized by a disadvantage, connected with the loss (or deterioration) of radial control in the start-up mode, caused by the common core in axial and radial channels of control; the significant stiffness and steering force may be achieved in the operating area of axial coordinate variation by simultaneously keeping the maximum radial stiffness, sufficient for the start-up mode, by means of purpose-built nonlinear function generators in an electronic circuit diagram of the controlling system; ease of adjustment highly determines the successful bearing setting. Practical importance: The elaborated recommendations will make it possible to design tapered magnetic bearings for high-speed electric machines.
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19

UEDA, Yuto, Toru MASUZAWA, and Masahiro OSA. "Evaluation of Acceleration Resistance of Homopolar Type Magnetic Bearing for Ventricular Assist Device." Journal of the Japan Society of Applied Electromagnetics and Mechanics 29, no. 1 (2021): 52–57. http://dx.doi.org/10.14243/jsaem.29.52.

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20

Filatov, Alexei, Larry Hawkins, and Patrick McMullen. "Homopolar Permanent-Magnet-Biased Actuators and Their Application in Rotational Active Magnetic Bearing Systems." Actuators 5, no. 4 (December 16, 2016): 26. http://dx.doi.org/10.3390/act5040026.

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21

Wu, Guo Qing, Wei Nan Zhu, and Jing Ling Zhou. "Finite Element Analysis of Radial Bearing Magnetic Field." Applied Mechanics and Materials 37-38 (November 2010): 486–90. http://dx.doi.org/10.4028/www.scientific.net/amm.37-38.486.

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There is a magnetic field inside of the radial bearing. The magnetic field distribution is one of the key factors that decides the running state and performance of the system. By using the finite element ANSYS software, the magnetic field of radial bearing was analyzed. The analysis indicated that NSSN mode is suiTable for magnetic radial bearing and NSNS mode unsuiTable. There is a magnetic coupling between magnetic poles. There is magnetic leakage for radial bearing, which leaks towards spindle center through rotor and to coil, but it is very little, less than 5%. The research provides a theoretical basis for optimization of system structure and controller design.
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22

HAN, Bangcheng. "Modeling and Analysis of Novel Integrated Radial Hybrid Magnetic Bearing for Magnetic Bearing Reaction Wheel." Chinese Journal of Mechanical Engineering 23, no. 05 (2010): 655. http://dx.doi.org/10.3901/cjme.2010.05.655.

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23

Chen, Jun Hui, Feng Yu Yang, Chao Rui Nie, Jun Yang, and Peng Yan Wan. "Magnetic Force Characteristics and Structure of a Novel Radial Hybrid Magnetic Bearing." Applied Mechanics and Materials 150 (January 2012): 69–74. http://dx.doi.org/10.4028/www.scientific.net/amm.150.69.

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There are some problems in the permanent magnetic circuit of the current permanent magnet biased magnetic bearings, such as small magnetic force, low magnetic flux density and lack of self-stabilization. To solve this problem, a new hybrid radial magnetic bearing structure has been proposed. The nonlinear model and linearization equation of the new hybrid radial magnetic bearing capacity has been established by current molecular method and virtual displacement theorem. It is found that the permanent magnetic bearing can achieve self-stabilization in the radial degrees of freedom and can reduce the total displacement of negative stiffness. The results show that the air gap flux density is greatly improved by the new hybrid magnetic bearing with Halbach array structure. Current stiffness and displacement rigidity is closely related to initial current and initial gap of the equilibrium position. Near the equilibrium position, current stiffness and displacement rigidity are linear relationship. With the increase of air gap, it remains a good linearity. While with the decrease of air gap, it presents nonlinear characteristics..
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24

Nicolsky, R., A. S. Pereira, R. de Andrade, D. F. B. David, J. A. Santisteban, R. M. Stephan, A. Ripper, W. Gawalek, T. Habisreuther, and T. Strasser. "Development of hybrid bearing system with thrust superconducting magnetic bearing and radial active electromagnetic bearing." Physica C: Superconductivity 341-348 (November 2000): 2509–12. http://dx.doi.org/10.1016/s0921-4534(00)01298-3.

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25

Liao, Ping, Su Yang Ma, Guo Qing Wu, Jing Feng Mao, and An Dong Jiang. "The Analysis of Radial Magnetic Bearing’s Magnetic Field in Active Magnetic Bearing Electric Spindle Unit." Advanced Materials Research 291-294 (July 2011): 1593–99. http://dx.doi.org/10.4028/www.scientific.net/amr.291-294.1593.

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Introduced the working principle of active magnetic bearing unit and took the electric spindle with 5.5kW for example, finite element analysis of the magnetic fields of radical magnetic bearing was analyzed through finite element analysis by ANSYS software to find out the variation of magnetic field distribution and affecting factors. Analysis results showed that radical magnetic bearing had small leakage magnetic field, the principal axis’ maximum offset from the ideal center line was 0.0025mm and the principal axis had superior radical running accuracy when the circularity of supporting journal on principal axis was 0.003mm, the unilateral air-gap value was 0.3mm while the principal axis suspended normally and the inside track’ circularity of magnetic pole was 0.007mm. It can meet the working requirements of precision machine tool. The research results provided theoretical basis for structural optimization of the active magnetic bearing unit.
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26

Marcsa, Dániel, and Miklós Kuczmann. "Modeling of radial magnetic bearing by finite element method." Pollack Periodica 6, no. 2 (August 2011): 13–24. http://dx.doi.org/10.1556/pollack.6.2011.2.2.

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27

Sun, Jinji, Guochang Bai, and Lijun Li. "Stiffness measurement of radial hybrid magnetic bearing in MSFW." Transactions of the Institute of Measurement and Control 37, no. 8 (October 9, 2014): 991–98. http://dx.doi.org/10.1177/0142331214552122.

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28

Lijesh, KP, Mrityunjay Doddamani, SI Bekinal, and SM Muzakkir. "Multi-objective optimization of stacked radial passive magnetic bearing." Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology 232, no. 9 (September 25, 2017): 1140–59. http://dx.doi.org/10.1177/1350650117733374.

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Modeling, design, and optimization for performances of passive magnetic bearings (PMBs) are indispensable, as they deliver lubrication free, friction less, zero wear, and maintenance-free operations. However, single-layer PMBs has lower load-carrying capacity and stiffness necessitating development of stacked structure PMBs for maximum load and stiffness. Present work is focused on multi-objective optimization of radial PMBs to achieve maximum load-carrying capacity and stiffness in a given volume. Three-dimensional Coulombian equations are utilized for estimating load and stiffness of stacked radial PMBs. Constraints, constants, and bounds for the optimization are extracted from the available literature. Optimization is performed for force and stiffness maximization in the obtained bounds with three PMB configurations, namely (i) mono-layer, (ii) conventional (back to back), and (iii) rotational magnetized direction. The optimum dimensions required for achieving maximum load without compromising stiffness for all three configurations is investigated. For designers ease, equations to estimate the optimized values of load, stiffness, and stacked PMB variables in terms of single-layer PMB are proposed. Finally, the effectiveness of the proposed method is demonstrated by considering the PMB dimensions from the available literature.
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29

Parambil, Lijesh K. "Design methodology for monolithic layer radial passive magnetic bearing." Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology 233, no. 6 (October 11, 2018): 992–1000. http://dx.doi.org/10.1177/1350650118806372.

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Passive magnetic bearings (PMBs) are considered to be one of the economical and effective methods for levitating two surfaces in relative motion. This obviates the use of lubrication, provides zero wear, and negligible friction, thereby making the operation maintenance free. Due to these advantages, the modeling and design of the PMBs were given substantial importance in many studies. However, a well-defined designing procedure to achieve desired load carrying capacity for the given space constraints for the intended PMB application is yet to be established. Prior studies were performed on PMBs for achieving maximum load carrying capacity, but no design methodology was proposed that could facilitate easier design of a PMB in lesser computational time. In the present work, a very effective and a straightforward method is proposed to design a PMB for its paramount output. For this, dimensions of PMBs from the literature are considered for analysis and a set of equations are proposed for the determination of mean radius, axial length, and clearance for a given inner and outer radii of single layer PMBs. Finally, an equation is provided for estimating the load carrying capacity for the determined dimensions of PMB from the proposed design procedure. The effectiveness of the proposed methodology is demonstrated by considering the dimensions of PMBs from 10 literature.
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30

Wu, Mengyao, and Huangqiu Zhu. "Backstepping control of three-pole radial hybrid magnetic bearing." IET Electric Power Applications 14, no. 8 (August 1, 2020): 1405–11. http://dx.doi.org/10.1049/iet-epa.2019.1008.

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31

Zhang, Wei-Yu, and Huang-Qiu Zhu. "Accurate parameter design for radial AC hybrid magnetic bearing." International Journal of Precision Engineering and Manufacturing 15, no. 4 (April 2014): 661–69. http://dx.doi.org/10.1007/s12541-014-0385-y.

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32

Ai, Liwang, Guomin Zhang, Wanjie Li, Guole Liu, Jianhui Chen, and Qingquan Qiu. "Simplified calculation for the radial levitation force of radial‐type superconducting magnetic bearing." IET Electric Power Applications 12, no. 9 (July 19, 2018): 1291–96. http://dx.doi.org/10.1049/iet-epa.2018.0063.

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33

Sun, Chuan Yu, Lin Jing Xiao, and Shu Ping Wang. "Dynamic Magnetic Force Analysis of the New Low-Power Radial Magnetic Suspension Bearing." Applied Mechanics and Materials 263-266 (December 2012): 30–34. http://dx.doi.org/10.4028/www.scientific.net/amm.263-266.30.

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In order to reduce the current consume of magnetic suspension bearing, the paper has brought forward a new low-power radial magnetic suspension bearing (RMSB), the bearing has a hybrid structure of permanent magnet and electromagnet, the upside suction force and downside repulsion force generated by permanent magnet can counteract the gravity of rotor, and the electromagnetic repulsion force generated by electromagnetic coil can adjust the dynamic position of rotor. Through the model simulation and analysis, the paper educes the calculation formula of eccentric force, gets the relationship between magnetic force and eccentric distance, gets the relation curves between the eccentric distance and the control current under the case of nonzero radial speed, and finally gets the minimum precise control current. This magnetic bearing has great effect and meaning in the no friction domain with the advantages of low power, simple control, etc.
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34

Bangcheng, Han, Zheng Shiqiang, Wang Xi, and Yuan Qian. "Integral Design and Analysis of Passive Magnetic Bearing and Active Radial Magnetic Bearing for Agile Satellite Application." IEEE Transactions on Magnetics 48, no. 6 (June 2012): 1959–66. http://dx.doi.org/10.1109/tmag.2011.2180731.

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35

Yu, Chengtao, Yuemei Sun, Hongchang Wang, Wentao Shan, Yu Chen, and Rui Qiu. "Dynamic analysis of magnetic bearing rotor dropping on radial and axial integrated auxiliary bearing." Mechanism and Machine Theory 140 (October 2019): 622–40. http://dx.doi.org/10.1016/j.mechmachtheory.2019.06.015.

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36

Wang, Zixin, Tao Zhang, and Shasha Wu. "Suspension Force Analysis of Four-Pole Hybrid Magnetic Bearing With Large Radial Bearing Capacity." IEEE Transactions on Magnetics 56, no. 8 (August 2020): 1–4. http://dx.doi.org/10.1109/tmag.2020.3003983.

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37

Wang, Chun E., and Jian Cheng Fang. "Analysis of Specific Load Capacity of Radial Hybrid Magnetic Bearing." Advanced Materials Research 668 (March 2013): 485–89. http://dx.doi.org/10.4028/www.scientific.net/amr.668.485.

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This paper proposes a method based on vector calculation of flux density to evaluate the specific load capacity (SLC) of radial hybrid magnetic bearing (RHMB). The vector sum of the flux densities generated by the permanent magnet and the control current is calculated in this method, and then the functional expression of the SLC is built up via the flux densities. The influence of outer rotor diameter, fraction of circumferential rotor surface covered by poles and the length of the air gap are analyzed. It turns out that the SLC decreases with the maximum force of the bearing, and increases first and then decreases with the increase of pole area and length of the air gap. The maximum attainable SLC for RHMB of all sizes does not vary substantially from 23:1. The results of the analysis provide basis for the prediction of volume and mass for the RHMB in application.
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38

Jin, Chaowu, Dongyuan Lv, Xu Yan, Yuanping Xu, Feng Xiong, and Longxiang Xu. "A novel eight-pole heteropolar radial-axial hybrid magnetic bearing." International Journal of Applied Electromagnetics and Mechanics 60, no. 3 (May 30, 2019): 423–44. http://dx.doi.org/10.3233/jae-180063.

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39

Demachi, Kazuyuki, Akira Miura, Akihiko Sawada, Kenzo Miya, Hiromasa Higasa, Ryoichi Takahata, and Hiroo Kameno. "Numerical simulation of dynamics of radial type superconducting magnetic bearing." International Journal of Applied Electromagnetics and Mechanics 14, no. 1-4 (December 20, 2002): 127–32. http://dx.doi.org/10.3233/jae-2002-391.

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40

Provenza, Andrew J., Gerald T. Montague, Mark J. Jansen, Alan B. Palazzolo, and Ralph H. Jansen. "High Temperature Characterization of a Radial Magnetic Bearing for Turbomachinery." Journal of Engineering for Gas Turbines and Power 127, no. 2 (April 1, 2005): 437–44. http://dx.doi.org/10.1115/1.1807413.

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Open loop, experimental force and power measurements of a radial, redundant-axis, magnetic bearing at temperatures to 1000°F (538°C) and rotor speeds to 15,000 rpm along with theoretical temperature and force models are presented in this paper. The experimentally measured force produced by a single C-core circuit using 22A was 600 lb (2.67 kN) at room temperature and 380 lb (1.69 kN) at 538°C. These values were compared with force predictions based on a one-dimensional magnetic circuit analysis and a thermal analysis of gap growth as a function of temperature. The analysis showed that the reduction of force at high temperature is mostly due to an increase in radial gap due to test conditions, rather than to reduced core permeability. Tests under rotating conditions showed that rotor speed has a negligible effect on the bearing’s static force capacity. One C-core required approximately 340 W of power to generate 190 lb (845 N) of magnetic force at 538°C, however the magnetic air gap was much larger than at room temperature. The data presented are after bearing operation for eleven total hours at 538°C and six thermal cycles.
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41

Eryong, Hou, and Liu Kun. "A Novel Structure for Low-Loss Radial Hybrid Magnetic Bearing." IEEE Transactions on Magnetics 47, no. 12 (December 2011): 4725–33. http://dx.doi.org/10.1109/tmag.2011.2160649.

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42

Eryong, Hou, and Liu Kun. "Investigation of Axial Carrying Capacity of Radial Hybrid Magnetic Bearing." IEEE Transactions on Magnetics 48, no. 1 (January 2012): 38–46. http://dx.doi.org/10.1109/tmag.2011.2167018.

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43

Sun, Chuanyu, Linjing Xiao, and Shuping Wang. "Mathematic Model Control Algorithm for Microgravity Radial Magnetic Suspended Bearing." Journal of Mechatronics 1, no. 2 (December 1, 2013): 103–8. http://dx.doi.org/10.1166/jom.2013.1026.

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44

Marinescu, M., N. Marinescu, J. Tenbrink, and H. Krauth. "Passive axial stabilization of a magnetic radial bearing by superconductors." IEEE Transactions on Magnetics 25, no. 5 (1989): 3233–35. http://dx.doi.org/10.1109/20.42264.

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45

Hou, Eryong, and Kun Liu. "Tilting Characteristic of a 2-Axis Radial Hybrid Magnetic Bearing." IEEE Transactions on Magnetics 49, no. 8 (August 2013): 4900–4910. http://dx.doi.org/10.1109/tmag.2013.2244098.

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46

Tomczuk, Bronisław, and Dawid Wajnert. "Field–circuit model of the radial active magnetic bearing system." Electrical Engineering 100, no. 4 (July 12, 2018): 2319–28. http://dx.doi.org/10.1007/s00202-018-0707-7.

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47

Wu, Hua Chun, Zi Yan Wang, and Ye Fa Hu. "Study on Support Properties of Axial Maglev Blood Pump." Applied Mechanics and Materials 150 (January 2012): 187–93. http://dx.doi.org/10.4028/www.scientific.net/amm.150.187.

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Artificial heart pump requires small structure, low energy consumption and certain stiffness and damping for transplanting and long time using. This paper thus designed a hybrid-type axial maglev blood pump, which not only has small size, almost no energy, and poor dynamic characteristics of permanent magnet bearing but also has low power consumption, long life and good dynamic characteristics of magnetic bearing. Based on finite element method, magnetic flux of axial magnetic bearing, radial magnetic bearing and test rig are analyzed; at the same time, the structure parameters and mechanical properties and the coupling of radial MB and axial MB are studied. The results show that: rotor displacement of axial bearing and radial bearing will affect load capacity and stiffness. The conclusions provide a scientific basis for design and optimization of blood pump
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48

Vuckovic, Ana, Nebojsa Raicevic, Sasa Ilic, Slavoljub Aleksic, and Mirjana Peric. "Axial force calculation of passive magnetic bearing." Serbian Journal of Electrical Engineering 11, no. 4 (2014): 649–60. http://dx.doi.org/10.2298/sjee1404649v.

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Abstract:
Axial magnetic force calculation between two ring permanent magnets is presented in the paper. One magnet is magnetized in radial direction while the other one is magnetized in axial direction. Configuration like this one resembles the one passive magnetic bearing has. Force calculation is performed using semi analytical approach based on fictitious magnetization charges and discretization technique. For comparison purposes, and in order to check preciseness of the method applied, Finite Element Method (FEM) results were used.
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49

Knospe, C. R., and L. S. Stephens. "Side-Pull and Stiffness of Magnetic Bearing Radial Flux Return Paths." Journal of Tribology 118, no. 1 (January 1, 1996): 98–101. http://dx.doi.org/10.1115/1.2837098.

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Abstract:
Certain magnetic bearing designs, both radial and axial, contain a cylindrical radial flux return path. The magnetic flux in this path produces a radial negative stiffness and, if the journal is displaced, a side-pull force. In this paper, closed-form solutions are found for both of these properties by determining the magnetomotive force in the eccentric gap. This is achieved by solving the Dirichlet boundary value problem in the eccentric annulus. A conformal transformation to bipolar coordinates is utilized which results in a much simpler boundary value problem than if the physical coordinates are used. An example problem is presented which indicates the significance of these two properties.
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50

Liu, Xiao Jing, and Ye Fa Hu. "Calculation of Radial Active Magnetic Bearing Electromagnetic Force under Eccentric Rotor." Advanced Materials Research 443-444 (January 2012): 649–54. http://dx.doi.org/10.4028/www.scientific.net/amr.443-444.649.

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Abstract:
As for active magnetic bearing, ordinary electromagnetic force formula based on air gap well-distributed. However, radial active magnetic bearing always face the situation that the rotor is eccentric and the air gap doesn’t well-distributed. This paper gives the calculation method of the electromagnetic force at that situation through calculating the air gap and using integrative approach. Then analysis the influence factors---eccentric rotor distance from center and eccentric angle to electromagnetic force. The result can provide the basis for suspension characteristic of active magnetic bearing.
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