• Title/Summary/Keyword: Magnetic force model

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A New Model of Magnetic Force in Magnetic Levitation Systems

  • Lee, Y.S.;Yang, J.H.;Shim, S.Y.
    • Journal of Electrical Engineering and Technology
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    • v.3 no.4
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    • pp.584-592
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    • 2008
  • In this paper, we propose a new model of the magnetic control force exerted on the levitation object in magnetic levitation systems. The model assumes that the magnetic force is a function of the voltage applied to an electromagnet and the position of a levitation object. The function is not explicitly expressed but represented through a 2D lookup table constructed from the experimentally measured data. Unlike the conventional model that reveals only local characteristics of the magnetic force, the proposed model shows global characteristics satisfactorily. Specially devised measurement equipment is utilized in order to gather the data required for model construction. An experimental procedure to construct the model is presented. We apply the proposed model to designing a sliding mode controller for a lab-built magnetic system. The validity of the proposed model is illustrated by comparing the performances of the controller adopting the conventional model with that of the controller adopting the proposed model.

A Stability Analysis of the Magnetic Bearing System Subject to Sensor dislocation Error -Discussion on Nonlinear Magnetic Force Model- (센서의 설치 오차에 따른 자기베어링 지지 로터계의 안정도에 관한 연구 -비선형 자기력 모델에 대한 고찰-)

  • 정재일;김종원
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.11a
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    • pp.799-805
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    • 1996
  • In many cases, the magnetic farce model is linearized at the origin in designing the controller of a magnetic bearing system. However. this linear assumption is violated by the unmodeled nonlinear effect such as sensor dislocation and backup bearing dislocation. Therefore, a direct probe into the nonlinear magnetic force model in an active magnetic bearing system is necessary. To analyze the nonlinear magnetic force model of a magnetic bearing system, phase plot analysis which is to plot the numerical solution of the nonlinear equation in several initial points in the interested region is applied. Phase plot analysis is used to observe a nonlinear dynamic system qualitatively (not quantitatively). With this method, we can get much useful information of the nonlinear system. Among this information, a bifurcation graph that represents stability and locations of fixed points is essential. From the bifurcation graph, a stability criterion of magnetic bearing system is derived.

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Modeling of a bearingless motor using distributed magnetic circuit (분산 자기 회로를 이용한 베어링리스 모터의 모델링)

  • 박창용;박수진;노명규
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.212-216
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    • 2004
  • Bearingless motors are the rotational electric machine which utilize a common magnetic structure for rotation and magnetic suspension. Since the bearing function is combined with the motor, the shaft length can be shortened resulting in higher critical speeds. Relationship between suspension force and current of bearingless motor is clearly derived by prior research. However, relationship between displacement of rotor and suspension force is not precisely defined. In this paper, we present model of bearingless motor describing the radial force variation due to the movement of the rotor. Using a distributed magnetic circuit and maxwell stress tensor, we derived a mathematical expression for the radial force. For a slotless bearingless motor, we are able to find an analytical model presented in the form of stiffness. For a slotted motor, we can compute the stiffness by semi-analytical analysis. This model is validated by a finite-element-analysis.

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Comparison of Korteweg-Helmholtz Electromagnetic Force Density and Magnetic Charge Force Density in Magnetic Systems (자기시스템의 Korteweg-Helmholtz 전자력 밀도와 자하 전자력 밀도의 비교)

  • Lee, Se-Hui;Choe, Myeong-Jun;Park, Il-Han
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.49 no.4
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    • pp.226-232
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    • 2000
  • In magnetic systems, distribution of electromagnetic force density causes mechanical deformation, which results in noise and vibration. In this paper, Korteweg-Helmholtzs energy method and equivalent magnetic charge method are employed for comparison of their resulting distributions of force density. The force density from the Korteweg-Helmholtzs method is expresses with two Maxwell stresses on the inside and the outside fo magnetic material respectively. The other is calculated using the magnetic Coulombs law. In the numerical model of an electromagnet, their numerical results are compared. The distributions by the two methods are almost the same. And their total forces are also shown to be the same to the one calculated from the conventional Maxwell stress tensor. But the magnetic charge method is easier and more efficient in numerical calculation.

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Analysis on the Levitation Force Characteristics of Longitudinal Flux Type Levitation Magnet using Equivalent Magnetic Circuit Model (등가자기회로 모델을 이용한 종자속형 자기부상 전자석의 부상력 특성 해석)

  • Cho, Han-Wook;Kim, Chang-Hyun;Lee, Jong-Min;Han, Hyung-Suk
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.12
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    • pp.2236-2245
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    • 2011
  • This paper deals with the levitation force characteristics of electromagnet for MAGLEV vehicle application. The magnetic flux density distribution and levitation force characteristics of the electromagnet are investigated by means of equivalent magnetic circuit model. Firstly, we defined the aligned and unaligned electromagnet module for the full-electromagnet, and magnetic flux paths are represented for each model including leakage and fringing flux paths. Because of the analysis model contains both the permanent magnet and electromagnet coil, we calculated the airgap magnetic flux density and levitation forces using flux superposition in electromagnetic circuit. The results are validated extensively by comparison with finite element analysis. Moreover, the 1/4 scaled magnetic levitation and propulsion test vehicle has been manufactured and tested in order to verify these predictions. The experimental results confirms the validity of the analytical prediction with equivalent magnetic circuit model for the description of a electromagnet.

Detent Force Analysis in Permanent Magnet Linear Synchronous Motor Considering Longitudinal End Effects

  • Li, Liyi;Ma, Mingna;Chan, C.C.
    • Journal of international Conference on Electrical Machines and Systems
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    • v.2 no.1
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    • pp.9-15
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    • 2013
  • This paper presents a uniform analytical model by energy method and Fourier series expansion to analyze detent force in uneven magnetic field for permanent magnet linear synchronous motor (PMLSM). The model reveals that detent force in long-primary type is mainly influenced by non-ideal distribution of permanent magnet magnetic motive force, while nounified air-gap permeance makes a great impact on detent force of short-primary type. Hence, magnetic field similarity of motor design techniques referring rotary counterpart are adopted. For long-primary type novel method of splitting edge magnets is proposed to reduce end effects force, and optimal widths of edge tooth in short-primary type also verify the effectiveness of magnetic field similarity. The experimental results validate finite element analysis results.

Numerical Analysis of Magnetic Flux Density Distribution by an Openable Magnetic Flux Generator for MIAB Welding (MIVB 용접용 개폐형 자속발생기에 의한 자원밀도분포의 수치해석)

  • Ku Jin-Mo;Kim Jae-Woong
    • Journal of Welding and Joining
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    • v.22 no.6
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    • pp.50-56
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    • 2004
  • MlAB(magnetically impelled arc butt) welding is a sort of pressure welding method by melting two pipe sections with high speed rotating arc and upsetting two pipes in the axial direction. The electro-magnetic force, the driving force of the arc rotation, is generated by interaction of arc current and magnetic field induced from the magnetic flux generator in the welding system. In this study, an openable coil system for the generation of magnetic flux and a 3-dimensional numerical model for analyzing the electro-magnetic field were proposed. Through the fundamental numerical analyses, a magnetic concentrator was adopted for smoothing the magnetic flux density distribution in the circumferential direction. And then a series of numerical analysis were performed for investigating the effect of system parameters on the magnetic flux density distribution in the interested welding area.. Numerical quantitative analyses showed that magnetic flux density distribution generated from the proposed coil system is mainly dependent on the exciting current in the coil and the position of coil or concentrator from the pipe outer surface. And the gap between pipe ends and arc current are also considered as important factors on arc rotating behavior.

Calculation of Force Density in Linear Motor Using Equivalent Magnetic Circuit (등가자기회로를 이용한 리니어모터의 추력밀도계산)

  • Hong, Jung-Pyo;Kang, Do-Hyun;Joo, Soo-Won;Hahn, Sung-Chin
    • Proceedings of the KIEE Conference
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    • 2001.04a
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    • pp.96-98
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    • 2001
  • In this paper, the equivalent magnetic circuit and FEM are used to calculate force density of linear BLDC motor. The equivalent magnetic circuit is hard to exact compose for analysis model and it is just applied to linear system. To flexible design and reducing the calculated and analyzed time, magnetic circuit has to be used for designing the linear BLDC motor and deducing equation of force density. Force density as parameter of permanent magnet and coil-side width that are important to determined force density can be estimated using equation of force density. FEM is used to prove reliability of equation of force density and to consider the nonlinear system. Equivalent magnetic circuit and result of FEM are similar, but it is little different by friction loss at the experiment.

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The Simulation of the Characteristics of the Levitation Force in Superconductor Using 2D Slab Model (2차원 Slab 모델을 이용한 초전도체 부상력 특성의 시뮬레이션)

  • 유제환;임윤철
    • Tribology and Lubricants
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    • v.14 no.4
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    • pp.44-50
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    • 1998
  • This paper describes the simulation of the levitation force between permanent magnet and high Tc(critical temperature) superconductor(HTSC). Levitation force is evaluated numerically on the basis of the magnetic vector potential method and the critical state model. The superconductor is approximated to 2-D slab model. By performing computations, the following characteristics have been investigated: the process of the generation of hysteresis, the various hysteretic behaviors. The characteristics of hysteresis are important for the application to magnetic bearing, for the damping and the nonlinear stiffness is related to hysteresis.

Development of Prediction Model and Parameter Optimization for Second-Generation Magnetic Abrasive Polishing of Magnesium Alloy (마그네슘 합금강의 제2세대 자기연마에서 표면거칠기 예측모델 개발)

  • Kim, Sang-Oh;Lee, Sung-Ho;Kwak, Jae-Seob
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.4
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    • pp.401-407
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    • 2011
  • The conventional method of magnetic abrasive polishing is not suitable for non-magnetic materials because such polishing is basically possible when magnetic force exists and the magnetic force in non-magnetic materials is very low. The installation of an electromagnet under the working area of a non-magnetic material, which is called second-generation magnetic abrasive polishing in this study, can enhance the magnetic force. Experimental evaluation and optimization of process parameters for polishing magnesium alloy steel was performed by adopting the design of experiments and the response surface method. The results indicated that the intensity of the magnetic force and spindle speed are significant parameters that affect the improvement of surface roughness. A prediction model for the surface roughness of the magnesium alloy steel is developed using the second-order response surface method.