• 제목/요약/키워드: Maxwell stress tensor

검색결과 61건 처리시간 0.03초

유한요소법을 이용한 SRM의 특성해석 (Analysis of Switched Reluctance Motors Characteristics using FEM)

  • 이준호;이향범;이기식
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1996년도 하계학술대회 논문집 A
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    • pp.139-141
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    • 1996
  • The switched reluctance motors(SRM) are simple and robust in structure. Because the wide range of power and speed, their application field is increasing. In order to design the motors and to evaluate the performance of them properly, an accurate study about the analysis of motor characteristics is required. In this paper, for the analysis of SRM characteristics, the finite element method which is based on the solution of combined equations both the electromagnetic field equations and the circuit equations of stator is adopted. The analysis model is to he assumed two-dimensional and the nonlinear property of magnetic materials is considered by Newton-Raphson method. To verify the usefulness of the proposed algorithm, commercial SRM is chosen and simulated. The computed torques obtained by Maxwell Stress Tensor are compared with the experimental data and it is found that they are in good agreement. By applying the proposed algorithm to two cases, currents of stator and torques at every angular positions of rotor are obtained step by step. Comparing them, one can recognize that torque ripple of SRM can he improved by controlling the switching sequences of driving circuits.

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엔진 밸브 자기 구동기의 설계 최적화 (Design Optimization for the Magnetic Engine Valve Actuator)

  • 소현준;박순옥;유정훈
    • 대한기계학회논문집A
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    • 제33권6호
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    • pp.584-589
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    • 2009
  • As the automobile energy efficiency stands out an important matter of interest, the magnetic engine valve system receives attention. It has an advantage of no engine power leakage in opening and closing the valve. Moreover, it generates much bigger force than the piezo actuator system, so it can be a good alternative system of the cam and camshaft system. However, since the valve system is not light enough, it is necessary to make its weight reduce. In this study, topology optimization is applied to find the optimal shape of the armature in a magnetic valve system combined with the finite element analysis for the magnetic field analysis. The result is used to obtain a concept design. The adjoint variable method is employed in order to calculate the design sensitivity of the magnetic driving force in the armature component mostly to reduce the computational time during the repeated sensitivity calculation. The sequential linear programming is employed for the optimization algorithm.

BLDC 모터의 고무 자석 형상 변형으로 인한 자계 변형 및 불평형 자기력 해석 (Distortion of Magnetic Field and Magnetic Force of a Brushless DC Motor due to Deformed Rubber Magnet)

  • 이창진;장건희
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2007년도 추계학술대회논문집
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    • pp.834-839
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    • 2007
  • This paper investigates the distortion of magnetic field of a brushless DC (BLDC) motor due to deformed rubber magnet. Global or local deformation of rubber magnet in the BLDC motor is mathematically modeled by using the Fourier series. Distorted magnetic field is calculated by using the finite element method, and unbalanced magnetic force are calculated by using the Maxwell stress tensor. The first harmonic deformation in the global deformation of rubber magnet generates the first harmonic driving frequency of the unbalanced magnetic force, and the rest harmonic deformations of rubber magnet except the harmonic deformation with multiple of common divisor of pole and slot introduces the driving frequencies with multiple of slot number ${\pm}1$ to the unbalanced magnetic force. However, the harmonic deformation with multiple of common divisor of pole and slot does not generate unbalanced magnetic force due to the rotational symmetry. When the rubber magnet is locally deformed, the unbalanced magnetic force has the first harmonic driving frequency and the driving frequencies with multiples of slot number ${\pm}1$.

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브러시리스 DC 모터의 영구자석 형상에 따른 특성 연구 (The Research on the Characteristics of Brush less DC Motor according to the Shape of the Permanent Magnet)

  • 박찬;김용현;이종찬;전연도;이주
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 하계학술대회 논문집 B
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    • pp.840-842
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    • 2001
  • The cogging torque and torque ripple in motor which cause noise and vibration are an inevitable phenomenon and they give a bad effect to motor performance. So we are required to reduce the cogging torque and torque ripple not by electrical controlling but by changing the inner mechanical structure and we focused on the permanent magnet. In this research, we calculated current, torque, Back-EMF(electromotive force) and cogging torque according to the change of the magnet shape using two dimensional FEM(Finite Element Method). Maxwell stress tensor and time-stepping method. From the results, we present an appropriate model that can satisfy both low cogging torque, low torque ripple and high efficiency.

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질량 불평형에 의한 SRM 회전자의 동적 거동에 관한 연구 (Dynamic Behavior of Rotor in Switched Reluctance Motor Due to Unbalanced Mass)

  • 하경호;홍정표;김규택;장기찬
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
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    • 제49권5호
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    • pp.305-312
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    • 2000
  • This study deals with the dynamic response of a rotor in Switched Reluctance Motor(SRM) caused by the unbalance force such as the unbalanced mass and electromagnetic force. The method to analyze the mechanical response of the rotor supported on the bearing is based on an extension of the 3-dimensional Transfer Matrix Method(TMM) coupled with the electromagnetic force calculated by Maxwell stress tensor. The displacement of the rotor as a function of frequency according to the position of the unbalanced mass is evaluated from the frequency response function (FRF). The rotor behaviour with the electromagnetic force is compared with that without the electromagnetic force. In addition, the resonance speeds and the vibration modes are analyzed and demonstrated in this paper. These results are useful in designing the mechanical rotor and in balancing properly the rotor to reduce vibration and noise.

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Unbalanced Magnetic Forces in Rotational Unsymmetrical Transverse Flux Machine

  • Baserrah, Salwa;Rixen, Keno;Orlik, Bernd
    • Journal of Electrical Engineering and Technology
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    • 제7권2호
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    • pp.184-192
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    • 2012
  • The torque and unbalanced magnetic forces in permanent magnet machines are resultants of the tangential, axial and normal magnetic forces, respectively. Those are in general influenced by pole-teeth-winding configuration. A study of the torque and unbalanced magnetic forces of a small flux concentrating permanent magnet transverse flux machine (FCPM-TFM) in segmented compact structure is presented in this paper. By using FLUX3D software from Cedrat, Maxwell stress tensor has been solved. Finite element (FE-) magneto static study followed by transient analysis has been conducted to investigate the influence of unsymmetrical winding pattern, in respect to the rotor, on the performance of the FCPM-TFM. Calculating the magnetic field components in the air gap has required an introduction of a 2D grid in the middle of the air gap, whereby good estimations of the forces are obtained. In this machine, the axial magnetic forces reveal relatively higher amplitudes compared to the normal forces. Practical results of a prototype motor are demonstrated through the analysis.

유한요소해석을 이용한 알루미나 정전척의 글라스 기판 흡착 특성 연구 (A Study on Attractive Force Characteristics of Glass Substrate Using Alumina Electrostatic Chuck by Finite Element Analysis)

  • 이재영;장경민;민동균;강재규;성기현;김혜동
    • 반도체디스플레이기술학회지
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    • 제19권4호
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    • pp.46-50
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    • 2020
  • In this research, the attractive force of Coulomb type electrostatic chuck(ESC), which consisted of alumina dielectric, on glass substrate was studied by using the finite element analysis. The attractive force is caused by the high electrical resistance which occurs in contact region between glass substrate and dielectric layer. This research tries the simple geometrical modeling of ESC and glass substrate with air gap. The influences of the applied voltage, and air gap are investigated. When alumina dielectric with 1014 Ω·cm, 1.5 kV voltage, and 0.01 mm air gap were applied, electrostatic force in this work reached to 4 gf/㎠. This results show that the modeling of air gap is essential to derive the attractive force of the ESC.

점성유체에 분산된 타원형 야누스 입자의 자성 상호작용에 관한 직접수치해석 (Direct Simulation of the Magnetic Interaction of Elliptic Janus Particles Suspended in a Viscous Fluid)

  • 김희은;강태곤
    • 대한기계학회논문집B
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    • 제41권7호
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    • pp.455-462
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    • 2017
  • 외부자기장에 의한 타원형 야누스 자성입자 사이의 자성 상호작용을 직접수치해석을 사용하여 분석하였다. 유한요소법에 기초한 가상영역법을 사용하여 입자계 유동해석을 수행하였고, 자기장 문제에서는 자성 포텐셜에 대한 지배방정식을 입자와 유체를 포함하는 전체영역에 대하여 풀어 자기장을 구하였다. 이 때 구해진 자기장으로부터 구한 맥스웰 응력을 사용하여 개별 입자에 작용하는 자기력이 계산된다. 입자의 운동과 최종적인 조립구조는 입자의 형상비, 개별 입자의 배향, 입자의 초기 분포에 크게 영향을 받는 것이 확인되었다. 또한 입자의 배향은 입자 주위의 유체 유동에도 영향을 주었다. 외부자기장에 의한 타원형 야누스 입자의 최종 조립구조는 앞서 언급한 인자들에 의해서 영향을 받은 것을 수치해석을 통해 확인할 수 있었다.

Analytical Solution of Magnetic Field in Permanent-Magnet Eddy-Current Couplings by Considering the Effects of Slots and Iron-Core Protrusions

  • Dai, Xin;Liang, Qinghua;Ren, Chao;Cao, Jiayong;Mo, Jinqiu;Wang, Shigang
    • Journal of Magnetics
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    • 제20권3호
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    • pp.273-283
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    • 2015
  • In this study, we propose an analytical model for studying magnetic fields in radial-flux permanent-magnet eddy-current couplings by considering the effects of slots and iron-core protrusions on the eddy currents. We focus on the analytical prediction of the air-gap field by considering the influence of eddy currents induced in conducting bars. In the proposed model, the permanent magnet region is treated as the source of a time-varying magnetic field and the moving-conductor eddy current problem is solved based on the resolution of time-harmonic Helmholtz equations. The spatial harmonics in the air gap and in slots, as well as the time harmonics are all considered in the analytical calculation. Based on the proposed field model, the electromagnetic torque is computed by using the Maxwell stress tensor method. Nonlinear finite element analysis is performed to validate the analytical model. The proposed model can be used for permanent-magnet eddy-current couplings with any slot-pole combination.

리니어 펄스 모터의 추력 및 수직력에 대한 특성 해석 (The Characteristic Analysis for Thrust and Normal Force of Linear Pulse Motor)

  • 윤신용;백수현;김용
    • 조명전기설비학회논문지
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    • 제13권4호
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    • pp.142-151
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    • 1999
  • 리니어 펄스 모터(LPM)는 유연한 선형운동이 필요한 분야에 사용되며 LPM의 위치정밀도는 리드스쿠류 보다 매우 높다. LPM은 간단한 기계적 구조, 고 반복성, 정밀한 오픈루프 동작 및 저 관성 등의 장점을 지니고 있으므로 공장 자동화 및 고속 위치제어용과 같은 응용분야에서 광범위하게 활용된다. 본 논문에서는 고 정밀성과 반복성을 지닌 LPM의 힘 특성을 해석하였다. 추력과 수직력은 고정자와 가동자의 치 피치와 공극에 매우 민감하다. 이 때 수직력은 추력에 비해서 매우 높지만 추력도 상당히 크다. 본 LPM의 자기회로는 복잡한 구조이기 때문에, 힘을 계산하기 위한 적합한 방법으로는 유한요소법(FEM)을 적용한다. 여기서는 가상변위와 맥스웰 응력을 이용하였다.

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