• Title/Summary/Keyword: Maxwell stress tensor

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An Observation of Unified Force Expression in The Cylindrical Magnetic Material with a Vertical Current Running Through Its Center (전류가 관통하는 원통형 자성체에 미치는 전자기력식의 통일성에 대한 고찰)

  • Choi, Hong-Soon
    • Journal of the Korean Magnetics Society
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    • v.21 no.5
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    • pp.174-179
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    • 2011
  • Magnetic force calculation methods such as Maxwell stress, virtual work principle, equivalent magnetic charge, and equivalent magnetizing current are widely used until now. The force density is still controversial issue even though it is common sense that all of these methods have legitimate results. The surface force densities of each method are quite different with each other in the point of numerical result and final expression. In this paper, it is shown that a unified expression of body force density is derived using virtual air-gap scheme for an analytic model in which cylindrical magnetic material with a vertical current runs through its center.

3D Design and Analysis of Cogging Torque in 900kW Permanent Magnet Synchronous Generator (900kW급 영구자석형 동기발전기 3차원 설계 및 코깅 토크 분석)

  • Lee, Sang-Woo;Kim, Tae-Hoon;Kim, Dong-Eon;Chung, Chin-Wha;Park, H.C.
    • 한국신재생에너지학회:학술대회논문집
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    • 2009.11a
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    • pp.443-443
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    • 2009
  • Cogging Torque is induced by the magnetic attraction between the rotor mounted permanent magnet(PM) and the stator teeth. This torque is an unwanted effect causing shaft vibration, noises, metal fatigues and increased stator length. A variety of techniques exist to reduce the cogging torque of PM generator. Even though the cogging torque can be vanished by skewing the stator slots by one slot pitch or rotor magnets, manufacturing cost becomes high due to the complicated structure and increased material costs. This paper introduces a new cogging torque reduction technique for PM generators that adjusts the azimuthal positions of the magnets along the circumference. A 900 kW class PMSG model is simulated using a three dimensional finite element method and the resulting cogging torques is analyzed using the Maxwell tensor stress tensor. Using the 3D simulation, the end contribution of the cogging torque is accurately calculated.

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Sound Source Investigation of Outer Rotor BLDC Motor (외부회전자형 BLDC 전동기의 소음원 규명)

  • Lee, Chang-Min;Shin, Young-Hun;Moon, Jung-Won
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.22 no.3
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    • pp.208-213
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    • 2012
  • With great advancement of the automobile functions, environmental factors become important performances, especially noise. This paper investigates noise sources of outer rotor type BLDC motor using in the air-conditioner of the automobiles. To this end, this paper is analyzed two viewpoints, structural and electromagnetic causes. Structural analysis is conducted through modal test and analysis. For modal analysis, 3D finite element analysis is carried out using commercial program ansys. Electromagnetic causes are analyzed from local force that is computed by Maxwell stress tensor method. Local force excites structure of motor directly. Finally, correlation analysis is performed to determine effect between noise causes.

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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A study of normal force and its effect in a SPMPM with Halbach array (Halbach 배열 영구자석형 Planar Motor의 수직적 해석 및 영향)

  • Huang, Rui;Zhou, Jianpei;Han, Kwang-Kyu;Kim, Gyu-Tak
    • Proceedings of the KIEE Conference
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    • 2006.10d
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    • pp.86-88
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    • 2006
  • This paper presents normal force analysis and its minimization of synchronous permanent magnet planar motor(SPMPM) with Halbach array. Firstly, the experimental error of thrust is investigated and it is caused by the friction force generated by normal force. Then normal force Is analyzed by Maxwell stress tensor. At last, the normal force is minimized by using genetic algorithm and it is decreased from 672.83[N] to 144.24[N] remarkably.

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Comparison of Controller Performance for Hybrid-PM Suspension System (하이브리드 부상시스템에서의 부상제어기 성능비교)

  • Sung, So-Young;Lee, Un-Ho;Park, Jong-Won;Jang, Seok-Myeong;Lim, Y.G.
    • Proceedings of the KIEE Conference
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    • 2009.07a
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    • pp.752_753
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    • 2009
  • This paper deals with controller design and dynamic simulation of hybrid magnetic bearing. The flux density at air-gap is obtained from system modeling which considers permanent magnet and electro magnet. The vertical force is derived yb that flux density using maxwell's stress tensor.

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Dynamic analysis and control parameters deduction of Hybrid thrust magnetic bearing (하이브리드 스러스트 마그네틱 베어링의 제어변수 도출 및 동특성 해석)

  • Jang, Seok-Myeong;Lee, Un-Ho;Sung, So-Young;Choi, Jang-Young;Kim, Soon-Yong
    • Proceedings of the KIEE Conference
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    • 2009.07a
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    • pp.724_725
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    • 2009
  • This paper deals with control parameters deduction and dynamic analysis of hybrid thrust magnetic bearing(HTMB). The flux density at air-gap is obtained from system modeling which considers permanent magnet and electro magnet. The vertical force is derived from flux density using maxwell's stress tensor. An accurate linear model is obtained by using linear approximations of the attraction force around the nominal equilibrium point. The dynamic simulation of the HTMB using the PD controller is conducted and control parameters are deducted.

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Study on the Characteristic of Ld, LQ Parameter for Interior Permanent Magnet Synchronous Motor in different barrier width (배리어 길이에 따른 매입형 영구자석 동기전동기의 Ld, Lq 파라미터 특성에 관한 연구)

  • Jang, Ik-Sang;Kim, Seung-Joo;Jin, Chang-Sung;Kim, Ki-Chan;Lee, Ju
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.3
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    • pp.496-501
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    • 2009
  • Interior Permanent Magnet Synchronous Motor (IPMSM) produces two kind of torque that Magnetic and Reluctance torque. The permanent magnet linkage flux ${\Psi}_a$ and d-axis and q-axis inductances have an important influence on the torque characteristic of IPMSM. Thus their accurate prediction is essential for predicting performance aspect such as the torque and flux-weakening capabilities. In this paper, the influence of barrier width on the ${\Psi}_a$ and $L_d$, $L_q$ is calculated by FEM analysis. Predictions are validated by comparison the average torques, using Maxwell Stress Tensor method.

An Adaptive Finite Element Method for Magnetostatic Force Computations (정자력 계산을 위한 적응 유한 요소법)

  • Park, Yong-Gyu;Jung, Hyun-Kyo;Lee, Ki-Sik;Hahn, Song-Yop
    • Proceedings of the KIEE Conference
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    • 1988.11a
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    • pp.24-27
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    • 1988
  • This paper presents an adaptive finite element method for magnetostatic force computation using Maxwell's stress tensor Mesh refinements are performed automatically by interelement flux density discontinuity errors and element force errors. In initial mesh, the computed forces for different Integration paths give great differences. but converge to a certain value as mesh division is performed by the adaptive scheme, We obtained good agreement between analytic solutions and numerical values In typical examples.

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A Study on a Novel Method for Electromagnetic Force Computation based on Continuum Design Sensitivity Analysis (연속체 설계 민감도해석을 이용한 새로운 전자기력 계산방법에 관한 연구)

  • Kim Dong-Hun
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.54 no.6
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    • pp.287-293
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    • 2005
  • Equations have been derived for computing electromagnetic forces by using the Continuum Design Sensitivity Analysis based on the Continuum Mechanics and the Virtual Work Principle. The resultant expressions have similar terms relating to the Korteweg-Holmholz force density, Maxwell Stress Tensor and Magnetic Charge Method but numerical implementation of the proposed scheme leads to efficient calculation and improved accuracy. In addition, the method can be easily applied to computing the magnetic force distribution as well as the global force. Results show the aforementioned advantages in comparison with the conventional methods.