• Title/Summary/Keyword: Maxwell stress tensor

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Parametric Analysis of Tubular-Type Linear Magnetic Couplings with Halbach Array Magnetized Permanent Magnet by Using Analytical Force Calculation

  • Kim, Chang-Woo;Choi, Jang-Young
    • Journal of Magnetics
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    • v.21 no.1
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    • pp.110-114
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    • 2016
  • Magnetic couplings are widely used in various industrial applications because they can transmit magnetic force without any mechanical contact. In addition, linear couplings have many advantages. For example, they do not need to convert rotary motion to linear motion. This paper shows an analytical analysis of tubular type linear magnetic couplings (TLMCs) with a Halbach array magnetized permanent magnet (PM). An analytical method for magnetic fields owing to PMs is performed by using magnetic vector potential as well as Poisson and Laplace equations. Then, the magnetic force is calculated by using the Maxwell stress tensor. The analytical analysis results were compared with finite element method (FEM) results. In addition, we predicted the magnetic force characteristic according to design parameters such as the iron core thickness, inner PM thickness to -outer PM thickness ratio, PM segment ratio of the axial magnetized PM segment and radial magnetized PM segment, and various pole numbers.

Analysis of Radial Force Density as a Vibration Source in Brushless DC Motor Using 3D Equivalent Magnetic Circuit Network Method (3차원 등가자기회로망법을 이용한 Brushless DC 모터의 진동원으로서의 Radial Force Density 해석)

  • Chun, Y.D.;Hur, J.;Yoon, S.B.;Hong, J.P.;Hyun, D.S.
    • Proceedings of the KIEE Conference
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    • 1997.07a
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    • pp.171-173
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    • 1997
  • This paper presents analysis of the radial force density in brushless DC motor of which distribution is not uniform in the axial direction. The analysis considering 3D shape of teeth and overhang is not only important but essential to calculate the radial force density that acts on the teeth of stator, because it is frequent source of vibration and changes at the end of teeth. For the analysis, a new 3D equivalent magnetic circuit network method taking into account movement of the rotor without remesh is proposed. The radial force density is calculated by Maxwell stress tensor and analyzed by discrete Fourier transform.

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Electromagnetic Force Density Analysis of Magnetic System (자기시스템의 전자력 밀도 해석)

  • Lee, Se-Hee;Choi, Myung-Jun;Kim, Chang-Wook;Park, Il-Han
    • Proceedings of the KIEE Conference
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    • 1997.07a
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    • pp.201-203
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    • 1997
  • As electromagnetic systems have the complexity and high performance, they should be designed to take into account the vibration, noise and strain of mechanical aspect as well as electrical problems. Until now, mechanical approaches have been tried to analyze the subject, but it is difficult to figure out the matter in mechanical consideration. Because they are mainly related to electromagnetic phenomena. This paper deals with the theories and numerical formulations of magnetic force density. Several methods are applied to an actuator and DC machine model to calculate magnetic force density. These results are compared with the total force obtained by maxwell stress tensor and virtual work principle.

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Analysis of Interior-Type Permanent Magnet Synchronous Motor Using Finite Element Method (유한 요소법에 의한 매입형 영구 자석 동기 전동기의 특성 해석)

  • Kim, Jin-Boo
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.41 no.7
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    • pp.723-734
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    • 1992
  • In this paper, the characteristics of IPMSM(Interior-type Permanent Magnet Synchronous Motor) are simulated using 2-D. finite element method. This paper deals with the following characteristics : air gap flux density considering skew, back e.m.f., torque and inductance. Back e.m.f. is calculated using the flux obtained from the vector potential of FEM solution. Torque is calculated using improved Maxwell stress tensor method and current angle which is obtained from the controller. Direct axis inductance and quadrature axis inductance are also calculated using energy perturbation method. Computed results are found in satisfactory agreement with experimental ones. This method also can be applied for the computation and analysis of the characteristics of SPMSM, current-excited synchronous motor and reluctance motor.

Characteristics Analysis and Magnetic Circuits of Various Kinds Linear Pulse Motor (각종 리니어펄스모터(LPM)의 자기회로와 그 특성해석)

  • Kim, Il-Jung;Lee, Eun-Woong;Kim, Jong-Kyeom
    • Proceedings of the KIEE Conference
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    • 1993.07b
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    • pp.1091-1094
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    • 1993
  • Recently, in the industrial applications, the direct drive method with linear pulse motor(LPM) has been introduced and studied for practical use. This paper describes the analysis result of hybrid(HB), permanent magnet(PM), and variable reluctance(VR) type LPM. First, calculation of the flux density distribution in the air gap at these LPM by finite element method. And by mean of Maxwell's stress tensor with above magnetic flux density, calcurated the static thrust force and normal force.

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THE THRUST CHARACTERISTICS ANALYSIS OF 2-PHASE PM TYPE LINEAR STEPPING MOTOR (2상 PM형 리니어스텝핑모터의 정추력(靜推力) 특성해석)

  • Bae, Jin-Ho;Chung, Do-Yung;Lee, Sang-Ho;Oh, Hong-Suk
    • Proceedings of the KIEE Conference
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    • 1993.07b
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    • pp.984-986
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    • 1993
  • In this paper, We have simulated and measured the characteristics of the static thrust of 2-phase PM type Linear Stepping Motor(LSM). And, the 2-phase PM type Linear Stepping Motor is simulated using 2-Dimensional finite element method. For calculating force, Maxwell stress tensor method is applied.

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Characteristics Analysis of Radially Magnetized Tubular type Magnetic Coupling (반경 방향으로 자화된 Tubular 타입 자기 커플링의 특성 해석)

  • Kim, Chang-Woo;Jung, Kyoung-Hun;Choi, Jang-Young
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.64 no.11
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    • pp.1551-1557
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    • 2015
  • Magnetic coupling is used where required high reliability. because magnetic coupling's durability is stronger than mechanical coupling's durability. This paper shows the characteristics of radially magnetized tubular type magnetic coupling by using Analytical method such as space harmonic method. Analytical method was used, to find force characteristics. First, on the basis of the magnetic vector potential and two-dimensional(2-D) polar-coordinate system, the magnetic field solutions of the radially magnetized permanent magnet are obtained. And we obtain the analytical solutions for the flux density produced by permanent magnet. Finally, we can calculate the force by using the Maxwell stress tensor. And then, Finite element method(FEM) is used to validate force characteristics.

Comparison of Force Calculation Methods in Finite Element Method (유한요소법을 이용한 전자기력 계산방법의 비교)

  • Xiuke, Yan;Ryu, Jae-Seop;Koh, Chang-Seop
    • Proceedings of the KIEE Conference
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    • 2001.10a
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    • pp.100-103
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    • 2001
  • The magnetic force calculation methods, the Maxwell's stress tensor method, virtual work method, and nodal force method are reviewed. The methods are applied to the magnetic force calculation of 2D linear and nonlinear Problems. As the results the convergence of the methods as the number of elements increases, accuracy of the methods, and integral path dependence of the methods are discussed. Finally some recommendations on the usage of the methods, including the determination of the integral path, are given.

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Direct-Current Dielectrophoretic Motions of a Pair of Particles due to Interactions with a Nearby Nonconducting Wall (비전도성 벽과의 상호작용에 따른 한 쌍 입자의 직류 유전영동 운동)

  • Kang, Sangmo
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.39 no.10
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    • pp.805-815
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    • 2015
  • The present study numerically investigated two-dimensional dielectrophoretic motions of a pair of particles suspended freely in a viscous fluid, interacting with a nearby nonconducting planar wall, under an external uniform electric field. The results show that the motions depend strongly on the set of two electric conductivity signs and the particles-wall separation gap. When both particles have the same sign, they revolve and finally align parallel to the electric field. In contrast, with different signs, they revolve in the opposite direction and finally align perpendicular to the field. Simultaneously, they are repelled to move farther away from the wall regardless of their conductivity set. With further separation from the wall, the particles-wall interaction effect diminishes and tthe particle-particle effect dominates.

Investigation of Chucking Force Distribution and Variation Characteristics for the Development of ESC in OLED Deposition (OLED 증착용 정전척 개발을 위한 척킹력 분포와 변화 특성 연구)

  • Choong Hwan Lim;Dong Kyun Min;Seong Bin Kim
    • Journal of the Semiconductor & Display Technology
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    • v.22 no.3
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    • pp.14-20
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    • 2023
  • The electrostatic chuck is a technology that uses electroadhesion to attach objects and is widely used in semiconductor and display processes. This research conducted Maxwell by varying parameters to examine the distribution and variations of chucking force in a bipolar-type ESC. The parameters that were changed include the material properties of the dielectric layer and attachment substrate, applied voltage to the electrode, and the gap and width between the electrodes. The analysis results showed that as the relative permittivity of the dielectric layer and substrate increased, the chucking force also increased, with the relative permittivity of the substrate having a greater impact on the chucking force. And increasing the applied voltage led to an increase in both the chucking force and its rate of change. Lastly, as the gap between the electrodes increased, the chucking force rapidly decreased until a certain distance, after which the decrease became less significant. On the contrary, increasing the electrode width resulted in a rapid increase in the chucking force until a certain width, beyond which the increase became less pronounced, eventually converging to a chucking force of 1700 Pa. This paper is expected to have high potential for the development and research of ESC for OLED deposition.

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