• 전기학회논문지
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• 제58권4호
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• pp.725-734
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• 2009

Maxwell stress tensor is one of the methods which are generally used for electromagnetic force calculation. In this paper, it is presented that Maxwell stress tensor T and n${\cdot}$T have no physical meaning and therefore should not be used as sources of mechanical force for deformations or dynamics. The divergence of Maxwell stress tensor ${\nabla}{\cdot}T$ is the one which can acquire a physical identity and is electromagnetic body force density by an action at a distance like a gravity. This result can be derived from the principle of power balance, and also verified by some thought experiments. The virtual air-gap approach is proposed as a valid solution for the calculation of the body force.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2003년도 춘계학술대회
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• pp.579-584
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• 2003

Solenoid type magnetic actuator is the device, which could translate the electromagnetic energy to mechanical force. The force generated by magnetic flux, could be calculated by Maxwell stress tensor method. Maxwell stress tensor method is influenced by the magnetic flux path. Thus, magnetic force could be improved by modification of the iron case, which is the route of the magnetic flux. Modified design is obtained by parameter optimization using by Response surface methodology.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제6권2호
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• pp.99-108
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• 2002

그리드 고정용 전자석은 절단금형에서 여러 조각으로 나누어진 매우 얇고 가벼운 그리드를 전자석에 흡착시켜 그리드를 부착한 장소까지 이송하는 역할을 하는 전자석이다. 설계목표는 (1)그리드 고정용 전자석이 착자, 탈자 및 이동시 전자석에 흡착된 그리드 조각의 정렬상태가 동요되지 않는 전자석의 설계, (2)금형(그리드 흡착면)에 잔류자기가 최소화되는 설계, (3)전자석이 탈자되었을 때, 잔류자기가 최소화되는 설계에 초점을 두었다. 자장분포는 유한요소법으로 계산하였고, 전자력 계산은 Maxwell stress tensor법을 사용하였다.

• 대한전기학회논문지:전기기기및에너지변환시스템부문B
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• 제49권4호
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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.

• KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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• 제11B권4호
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• pp.137-145
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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 and the equivalence of them are theoretically proved. The methods are applied to the magnetic force calculation of 2D linear and nonlinear problems, and 3D nonlinear problem. 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.

• Journal of Electrical Engineering and Technology
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• 제10권3호
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• pp.1349-1355
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• 2015

It is difficult to calculate the magnetic force of an object of magnetic material in contact with other objects using the existing methods, such as Maxwell stress tensor method, magnetic charge method, or magnetizing current method. These methods are applicable for force computation only when the object is surrounded by air. The virtual air-gap concept has been proposed for calculating the contact force. However, its application is limited to magneto-static system. In this paper, we present the virtual air-gap concept for contact surface force in the eddy-current system. Its validity and usefulness are shown by comparison between numerical and experimental examples.

• 대한기계학회논문집A
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• 제24권7호
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• pp.1795-1800
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• 2000

One of the principal sources of vibration and noise in permanent magnetic machines is cogging torque, which is induced by interaction between the rotor poles and the stator teeth. For its analysis, using finite element analysis is very time consuming and the calculation of performance factors is extremely sensitive to the discretization. Especially, Maxwell stress tensor method is sensitive to the location of integral path. In this paper, a cogging permeance fuction is defined and replaced by the straight line. And it is assumed that the flux density acting on the stator's tooth side is the euqal to the flux density of the slot area. Using this definition and assumption, analytical calculation of cogging torque is presented and validated. And several reduction method is introduced.

• 한국군사과학기술학회지
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• 제8권3호
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• pp.18-23
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• 2005

Ships have been propelled and maneuvered by electrical drives since trle late seventies. Recently, rare earth PMs allow the design of brushless motors with very high efficiency over a wide speed range. This is the most important factor in ship propulsion technology. Several types PM motors have been developing for ship propulsion system. However these have disadvantage such as cogging torque. It causes an undesired effect that contributes to output ripple, vibration, and noise of machine. Therefore several techniques may be adopted in designing PM motor in order to reduce the cogging torque. This paper describes cogging torque receding methods such as adjusting arigap length, magnet arc, and magnet thickness. That are analysed by using the finite element method(FEM) and the maxwell stress tensor method.

• 대한기계학회논문집B
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• 제39권5호
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• pp.425-433
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• 2015

본 논문에서는 외부에서 균일한 직류전기장이 인가될 때 점성유체에 자유롭게 잠겨있는 단일 입자가 근처의 비전도성 평면 벽과의 상호작용 때문에 유발되는 2차원 유전영동 운동에 대하여 수치연구를 수행하였다. 특히 입자-유체 경계면에서 불연속적으로 급격히 변화하는 전기전도도를 가진 Maxwell 방정식을 해석하고 전기장을 구한 후 Maxwell 응력텐서를 적분하여 입자에 작용하는 유전영동 힘을 계산하였다. 해석 결과 전기장이 벽과 평행하게 인가될 때 입자는 항상 반발력이 유도되어 벽으로부터 멀어지는 방향으로 유전영동 운동이 발생하였으며, 그 운동특성은 입자와 벽 사이 간격과 입자의 전도도에 따라 크게 달라졌다. 운동 강도는 입자와 유체의 전도도가 서로 같으면 사라지나, 전도도가 서로 다르면 그 차이가 클수록 강도는 증가하였다.

• 전력전자학회논문지
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• 제9권2호
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• pp.112-118
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• 2004

본 논문은 선박 추진 장치를 위한 저속 영역에서 최대 토크를 내는 대용량 BLDCM(Brushless DC motor)의 설계에 관한 연구이다. 기존의 추진 장치용 모터는 직류기 및 권선형 유도 전동기 등을 사용함으로 인하여 유지 보수가 필요하였다. 본 논문에서는 유지 보수가 필요 없고 저속에서 큰 토크를 발생 할 수 있는 BLDCM 설계를 하였다. 설계시 출력 리플 및 진동, 소음을 유발하는 코깅 토크 저감을 고려하기 위해 설계변수로 공극길이와 자극 각 등을 취하여 이의 변화에 대한 최저 코깅 토크를 가지는 최적형상을 구하고, 전동기 특성을 FEM과 Maxwell stress tensor법을 이용하여 해석하였다. 최저의 코깅 토크를 가지며 저속영역에서 최대 토크를 발생 할 수 있는 선박 추진 장치용 SPM type의 BLDCM을 설계하였다.