• Title/Summary/Keyword: adjoint system

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Design Sensitivity Analysis and Topology Optimization Method for Power Flow Analysis at High Frequency (고주파수대역에서 파워흐름해석법을 이용한 구조물의 설계민감도 해석과 위상최적설계)

  • 박찬영;박영호;조선호;홍석윤
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.04a
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    • pp.119-126
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    • 2004
  • A continuum-based design sensitivity analysis and topology optimization methods are developed for power flow analysis. Efficient adjoint sensitivity analysis method is employed and further extended to topology optimization problems. Young's moduli of all the finite elements are selected as design variables and parameterized using a bulk material density function. The objective function and constraint are an energy compliance of the system and an allowable volume fraction, respectively. A gradient-based optimization, the modified method of feasible direction, is used to obtain the optimal material layout. Through several numerical examples, we notice that the developed design sensitivity analysis method is very accurate and efficient compared with the finite difference sensitivity. Also, the topology optimization method provides physically meaningful results. The developed is design sensitivity analysis method is very useful to systematically predict the impact on the design variations. Furthermore, the topology optimization method can be utilized in the layout design of structural systems.

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A Study on the Electric Field Source Modeling of Naval Vessel Utilizing Material Sensitivity (매질 민감도를 이용한 함정 전기장 신호원 모델링에 관한 연구)

  • Chung, Hyun-Ju;Yang, Chang-Seob;Jeon, Jae-Jin;Jung, Gi-Woo;Kim, Dong-Hun
    • Proceedings of the KIEE Conference
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    • 2009.07a
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    • pp.658_659
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    • 2009
  • This paper deals with the numerical implementation of the material sensitivity analysis, which is used to efficiently determine an optimal electric current distribution on a ship hull by corrosion of ship. A material sensitivity formula for the forward problem formulated in terms of the equivalent current method is analytically derived. Then, the components of the adjoint system including the electric pseudo-source are thoroughly investigated in order to obtain the first-order gradient information of an objective function with respect to the electric current. The purposed method has been successfully applied to a model ship and the predicted result on the underwater electric field due to corrosion of ship have been compared to that computed by FNREMUS software.

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Robust Evolutionary Programming Technique for Optimal Control Problems

  • Park, C.;Lee, T.
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.50.2-50
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    • 2001
  • Optimal control problems are notoriously difficult to solve either analytically or numerically except for limited cases of having simple dynamics. Evolutionary programming is a promising method of solving various optimal control problem arising in practice since it does not require the expression of Lagrange´s adjoint system and that it can easily implement the inequality constraints on the control variable, In this paper, evolutionary programming is combined with spline method, so the smoother control profile and the Jumping times could be obtained. The optimal profiles obtained by the proposed method are compared with exact solution if it is available. With more complicated model equation, the proposed method showed better performance than other researchers´. It is demonstrated that the evolutionary programming with spline method can ...

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DEVELOPMENT OF AERODYNAMIC SHAPE OPTIMIZATION TOOLS FOR MULTIPLE-BODY AIRCRAFT GEOMETRIES OVER TRANSONIC TURBULENT FLow REGIME (천음속 난류 유동장에서의 다중체 항공기 형상의 공력 설계 도구의 개발)

  • Lee, B.J.;Lee, J.S.;Yim, J.W.;Kim, Chong-Am
    • 한국전산유체공학회:학술대회논문집
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    • 2007.10a
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    • pp.100-110
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    • 2007
  • A new design approach for a delicate treatment of complex geometries such as a wing/body configuration is arranged using overset mesh technique under large scale computing environment for turbulent viscous flow. Various pre- and post-processing techniques which are required of overset flow analysis and sensitivity analysis codes are discussed for design optimization problems based on gradient based optimization method (GBOM). The overset flow analysis code is validated by comparing with the experimental data of a wing/body configuration (DLR-F4) from the 1st Drag Prediction Workshop (DPW-I). In order to examine the applicability of the present design tools, careful design works for the drag minimization problem of a wing/body configuration are carried out by using the developed aerodynamic shape optimization tools for the viscous flow over multiple-body aircraft geometries.

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Uniform Stability of Intervalwise Receding Horizon Controls for Linear Time-Varying Systems (선형 시변 시스템에 대한 주기 예측 제어기의 시불변 안정성)

  • Kim, Ki-Baek;Kwon, Wook-Hyun
    • Proceedings of the KIEE Conference
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    • 1997.11a
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    • pp.139-141
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    • 1997
  • In this paper, intervalwise receding horizon controls (IRHCs) are proposed for linear time systems subject to $H_2$ and $H_{\infty}$ problems. Uniform stability conditions are provided for those systems. Under given conditions stability is proved without using an adjoint system. It is also shown that under proposed stability conditions for $H_{\infty}$ problem, $H_{\infty}$-norm bound is satisfied. The results in this paper arc also applicable to periodic systems which belong to the class of time systems.

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Shape Optimization of Electromagnetic System using Level Set Method (전자기 시스템에서 Level Set Method를 이용한 최적화)

  • Kim, Young-Sun;Choi, Hong-Soon;Park, Il-Han;Lee, Ki-Sik
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.623-624
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    • 2008
  • We present a level set method for numerical shape optimization of electromagnetic systems. The level set method does not only lead to efficient computational schemes, but also is able to handle topological changes such as merging, splitting and even disappearing of connected components. The velocity field on boundaries is obtained by a shape derivative of continuum sensitivity analysis using the material derivative concept and an adjoint variable technique. Two numerical results of dielectric optimization between electrodes showed that the level set method is feasible and effective in solving shape optimization problems of electromagnetic systems.

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Multi-objective optimal design of magneto-mechanical system using topology approach regarding magnetic reluctance force and magnetostriction (릴럭턴스 힘과 자기변형을 고려한 자계-기계계의 다목적 위상최적설계)

  • Shim, Ho-Kyung;Wang, Se-Myung
    • Proceedings of the KIEE Conference
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    • 2008.07a
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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.

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Topology Optimization of Magneto-thermal Systems Considering Eddy Current as Joule Heat (와전류를 열원으로 고려한 자계-열계 위상최적설계)

  • Shim, Ho-Kyung;Wang, Se-Myung;Hameyer, Kay
    • Proceedings of the KIEE Conference
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    • 2006.07b
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    • pp.651-652
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    • 2006
  • This research presents a topology optimization for manipulating the main heat flow in coupled magneto-thermal systems. The heat generated by eddy currents is considered in the design domain assuming an adiabatic boundary. For a practical optimization, the convection condition is considered in the topological process of the thermal field. Topology design sensitivity is derived by employing the discrete system equations combined with the adjoint variable method. As numerical examples, a simple iron and a C-core design heated-up by eddy currents demonstrate the strength of the proposed approach to solve the coupled problem.

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Optimal Array Design of the Permanent Magnet in an Eddy Current Brake (와전류 브레이크의 영구자석배열 최적설계)

  • Choi, Jae-Seok;Yoo, Jeong-Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.7
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    • pp.658-663
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    • 2009
  • Eddy current is usually generated in the material with high conductivity by time-varying source such as AC current and also is induced by the moving source with relative velocity. The contactless magnetic brake makes use of the braking force from the eddy current generated by the 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 the eddy current brake system of a permanent magnet type where the design aim is to maximize the braking force. The analysis of brake systems is based on the two-dimensional finite element analysis. We use the sequential linear programming as the optimizer and the adjoint variable method is applied for the sensitivity analysis.

A Second-Order Design Sensitivity-Assisted Monte Carlo Simulation Method for Reliability Evaluation of the Electromagnetic Devices

  • Ren, Ziyan;Koh, Chang-Seop
    • Journal of Electrical Engineering and Technology
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    • v.8 no.4
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    • pp.780-786
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    • 2013
  • In the reliability-based design optimization of electromagnetic devices, the accurate and efficient reliability assessment method is very essential. The first-order sensitivity-assisted Monte Carlo Simulation is proposed in the former research. In order to improve its accuracy for wide application, in this paper, the second-order sensitivity analysis is presented by using the hybrid direct differentiation-adjoint variable method incorporated with the finite element method. By combining the second-order sensitivity with the Monte Carlo Simulation method, the second-order sensitivity-assisted Monte Carlo Simulation algorithm is proposed to implement reliability calculation. Through application to one superconductor magnetic energy storage system, its accuracy is validated by comparing calculation results with other methods.