• 대한전기학회:학술대회논문집
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• 대한전기학회 2002년도 추계학술대회 논문집 전기기기 및 에너지변환시스템부문
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• pp.124-127
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• 2002

This paper presents a 3D shape optimization algorithm for electromagnetic devices using the design sensitivity analysis with finite element method. The structural deformation analysis based on the deformation theory of the elastic body under stress is used for mesh renewing. The design sensitivity and adjoint variable formulae are derived for the 3D nonlinear finite element method with edge element. The proposed algorithm is applied to the shape optimization of 3D electromagnet to get a uniform flux density at the air gap.

• Journal of Magnetics
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• 제18권3호
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• pp.283-288
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• 2013

This paper presents structural topology optimization that is being applied for the design of electromagnetic vibration energy harvester. The design goal is to maximize the root-mean-square value of output voltage generated by external vibration leading structures. To calculate the output voltage, the magnetic field analysis is performed by using the finite element method, and the obtained magnetic flux linkage is interpolated by using Lagrange polynomials. To achieve the design goal, permanent magnet is designed by using topology optimization. The analytical design sensitivity is derived from the adjoint variable method, and the formulated optimization problem is solved through the method of moving asymptotes (MMA). As optimization results, the optimal location and shape of the permanent magnet are provided when the magnetization direction is fixed. In addition, the optimization results including the design of magnetization direction are provided.

• 대한기계학회논문집
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• 제11권1호
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• pp.82-87
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• 1987

본 논문에서는 열전달문제 역시 변분형으로 전환될 수 있음에 착안하여 전미 분 개념을 도입해서 전도와 대류가 있는 열전달모델에서 주어진 면적 제한조건을 만족 시키며 지정된 경계에서의 온도가 주어진 온도에 가장 근접할 수 있는 모델의 형상을 찾는 방법을 연구하였다. 어떤 물질의 열전달 상태를 바꾸어 경계에서의 온도를 원 하는 바대로 조정하는 문제는 실제 공정에서 중요한 경우가 많다.해석시 열전달 상 태 방정식과 adjoint식은 6절점 삼각형 등계수 요소의 유한 요소법을 이용하여 해석하 였다.설계민감도의 정확한 계산을 위해서는 임의의 형상변화에 따른 경계에서의 수 치적분이 정확해야 하므로 경계를 곡선으로 표시할 수 있는 등계수 요소가 필요하다. 설계 민감도 해석이 진행된 후에는 최적화 기법의 하나인 미분벡터 투영법(Gradient Projection Method)을 사용하여 최적화를 시도했다. 최적설계 과정중 매번 계산결과 에 의해 형상의 변화가 진행되므로 그때마다 유한 요소 모델을 적절히 변화시켜 주어 야 한다. 모델의 경계는 3차함수로 근사화하여 형상이 부드러운 곡선이 되도록 했 으며 설계변수는 근사화한 3차함수를 결정할 수 있도록 정하면 되나 본 연구에서는 모 델의 변화에 따른 y좌표의 변화는 없다고 가정하여 모델경계의 세점을 취해 그 점들의 x좌표를 설계변수로 했다.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2001년도 하계학술대회 논문집 B
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• pp.768-770
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• 2001

The topology optimizations of electromagnetic systems with the nonlinear and the eddy current effects are studied using the finite element method. The topology design sensitivity formulations of nonlinear magnetostatics and eddy current systems are derived using the adjoint variable method. A computer program is developed using object orient programming and applied to the topology optimization of a C-core actuator. A numerical study shows the effects of saturation and eddy current by comparing results of topology optimizations.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2008년도 제39회 하계학술대회
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• pp.651-652
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• 2008

This research presents a multi-objective optimal design employing topological approach to maximize magnetic energy while minimizing structural deformation which is caused by magnetic reluctance force and magnetostriction. A design sensitivity formula is derived by employing the adjoint variable method (AVM) to avoid numerous sensitivity evaluations for a coupled magneto-mechanical analysis. The sensitivity analysis is verified using the finite difference method (FDM) in a C-shape actuator. A linear actuator used in a home appliance is examined for optimal design and demonstrates the strength of the proposed topology optimization approach.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2000년도 가을 학술발표회논문집
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• pp.238-245
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• 2000

A general formulation for shape design sensitivity analysis over a plane arch structure is developed based on a variational formulation of curved beam in linear elasticity. Sensitivity formula is derived using the material derivative concept and adjoint variable method for the stress defined at a local segment. Obtained sensitivity expression, which can be computed by simple algebraic manipulation of the solution variables, is well suited for numerical implementation since it does not involve numerical differentiation. Due to the complete description for the shape and its variation of the arch, the formulation can manage more complex design problems with ease and gives better optimum design than before. Several examples are taken to show the advantage of the method, in which the accuracy of the sensitivity is evaluated. Shape optimization is also conducted with two design problems to illustrate the excellent applicability.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2004년도 하계학술대회 논문집 B
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• pp.770-772
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• 2004

This paper presents a new approach regarding thermal characteristics associated with a design of the high efficiency motor. The adjoint variable design sensitivity equations for both electromagnetics with respect to permeability and heat transfer considering conduction and convection terms are derived using the continuum method. For multi-objective topology optimization, FEA is validated in terms of electromagnetics and heat transfer by experiments. The proposed method is applied to a single-phase induction motor of the scroll compressor in order to control the direction of heat flow by maximizing/minimizing the temperature of the target area while maintaining the efficiency.

• 대한조선학회논문집
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• 제32권4호
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• pp.64-72
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• 1995

본 연구에서는 조화기진력이 작용하는 구조물에서 보조변수법을 사용하여 치수설계 민감도가 계산되었다. 제한함수는 구조물의 진동응력이고 설계변수는 막구조의 두께, 보구조의 굽힘관성모멘트, 봉구조의 응력이며 신뢰성있는 민감도값이 계산되었다. 민감도값의 크기와 방향이 plot되어 응력에 민감한 부분이 인지되고 정확도는 유한차분치와 비교되었으며, 또한 계산된 민감도가 사용되어 three-bar 구조물의 제한조건이 만족되고 중량이 최소화되는 최적설계가 수행되었다.

• Steel and Composite Structures
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• 제51권4호
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• pp.363-375
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• 2024

Within the optimization field, addressing the intricate posed by fluidic pressure loads on functionally graded structures with frequency-related designs is a kind of complex design challenges. This paper thus introduces an innovative density-based topology optimization strategy for frequency-constraint functionally graded structures incorporating Darcy's law and a drainage term. It ensures consistent treatment of design-dependent fluidic pressure loads to frequency-related structures that dynamically adjust their direction and location throughout the design evolution. The porosity of each finite element, coupled with its drainage term, is intricately linked to its density variable through a Heaviside function, ensuring a seamless transition between solid and void phases. A design-specific pressure field is established by employing Darcy's law, and the associated partial differential equation is solved using finite element analysis. Subsequently, this pressure field is utilized to ascertain consistent nodal loads, enabling an efficient evaluation of load sensitivities through the adjoint-variable method. Moreover, this novel approach incorporates load-dependent structures, frequency constraints, functionally graded material models, and polygonal meshes, expanding its applicability and flexibility to a broader range of engineering scenarios. The proposed methodology's effectiveness and robustness are demonstrated through numerical examples, including fluidic pressure-loaded frequency-constraint structures undergoing small deformations, where compliance is minimized for structures optimized within specified resource constraints.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2008년도 추계학술대회A
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• pp.609-611
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• 2008

Eddy current is usually generated in material with high conductivity by time-varying source such as AC current and also is induced in the moving source with relative velocity. The contactless magnetic brakes make use of the braking force from the eddy current generated by moving source and currently used for the secondary brakes of heavy trucks, buses and rail vehicles. This study aims to design the magnetization pattern of a permanent magnet type eddy current brake system to maximize the braking force. The analysis of the brake system is based on the two-dimensional finite element analysis. We use the sequential linear programming as the optimizer and the adjoint variable method for the sensitivity analysis.