• Title/Summary/Keyword: 감도행렬

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Sensitivity Analysis of Matrix Game by using Linear Programming (선형계획을 이용한 행렬게임의 감도분석)

  • Seong, Gi-Seok;Park, Sun-Dal
    • Journal of Korean Institute of Industrial Engineers
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    • v.14 no.1
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    • pp.43-49
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    • 1988
  • The purpose of this paper is to study the sensitivity analysis of matrix game by means of linear programming. The relations between matrix game and linear programming is well known. In this paper we first transform matrix game into linear programming. The sensitivity analysis of matrix game is performed by that of linear programming.

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Analysis of a Structural Damage Detection Using Sensitivity Analysis (감도해석을 이용한 구조물의 손상위치 및 크기해석)

  • 이정윤
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.12 no.6
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    • pp.50-55
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    • 2003
  • This study proposed the analysis of damage detection due to the change of the stiffness of structure by using the original and modified dynamic characteristics. The present approach allows the use of composite data which consist of eigenvalues and eigenvectors. The suggested method is applied to examples of a cantilever and 3 degree of freedom system by modifying the stiffness. The predicted damage detections are in good agreement with these from the structural reanalysis using the modified stiffness.

Conjugate Gradient Least-Squares Algorithm for Three-Dimensional Magnetotelluric Inversion (3차원 MT 역산에서 CG 법의 효율적 적용)

  • Kim, Hee-Joon;Han, Nu-Ree;Choi, Ji-Hyang;Nam, Myung-Jin;Song, Yoon-Ho;Suh, Jung-Hee
    • Geophysics and Geophysical Exploration
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    • v.10 no.2
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    • pp.147-153
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    • 2007
  • The conjugate gradient (CG) method is one of the most efficient algorithms for solving a linear system of equations. In addition to being used as a linear equation solver, it can be applied to a least-squares problem. When the CG method is applied to large-scale three-dimensional inversion of magnetotelluric data, two approaches have been pursued; one is the linear CG inversion in which each step of the Gauss-Newton iteration is incompletely solved using a truncated CG technique, and the other is referred to as the nonlinear CG inversion in which CG is directly applied to the minimization of objective functional for a nonlinear inverse problem. In each procedure we only need to compute the effect of the sensitivity matrix or its transpose multiplying an arbitrary vector, significantly reducing the computational requirements needed to do large-scale inversion.

Analysis of a Structural Damage Detection using the Change of Dynamic Characteristics (동특성 변화를 이용한 구조물의 손상 탐지 해석)

  • 이정윤;이정우;이준호
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.760-763
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    • 2003
  • This study proposed the analysis of damage defection due to the change of the stiffness of structure by using the original and modified dynamic characteristics. The method is applied to examples of a cantilever and 3 degree of freedom by modifying the stiffness. The predicted damage detections are in good agreement with these from the structural reanalysis using the modified stiffness.

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On the Efficient Three-Dimensional Inversion of Static Shifted MT Data (정적효과를 포함한 자기지전류 자료의 효율적인 3차원 역산에 관하여)

  • Jang, Hannuree;Jang, Hangilro;Kim, Hee Joon
    • Geophysics and Geophysical Exploration
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    • v.17 no.2
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    • pp.95-103
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    • 2014
  • This paper presents a practical inversion method for recovering a three-dimensional (3D) resistivity model and static shifts simultaneously. Although this method is based on a Gauss-Newton approach that requires a sensitivity matrix, the computer time can be greatly reduced by implementing a simple and effective procedure for updating the sensitivity matrix using the Broyden's algorithm. In this research, we examine the approximate inversion procedure and the weighting factor ${\beta}$ for static shifts through inversion experiments using synthetic MT data. In methods using the full sensitivity matrix constructed only once in the iteration process, a procedure using the full sensitivity in the earlier stage is useful to produce the smallest rms data misfit. The choice of ${\beta}$ is not critical below some threshold value. Synthetic examples demonstrate that the method proposed in this paper is effective in reconstructing a 3D resistivity structure from static-shifted MT data.

An Efficient 3D Inversion of MT Data Using Approximate Sensitivities (효율적인 3차원 MT 역산을 위한 다양한 감도의 이용)

  • Han, Nu-Ree;Nam, Myung-Jin;Kim, Hee-Joon;Lee, Tae-Jong;Song, Yoon-Ho;Suh, Jung-Hee
    • Geophysics and Geophysical Exploration
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    • v.10 no.4
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    • pp.259-267
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    • 2007
  • An efficient algorithm for inverting static-shifted magnetotelluric (MT) data has been proposed to produce a three-dimensional (3D) resistivity model. In the Gauss-Newton approach, computational costs associated with construction of a full sensitivity matrix usually make 3D MT inversion impractical. This computational difficulty may be overcome by using approximate sensitivities. We use four kinds of sensitivities in particular orders in the inversion process. These sensitivities are computed 1) analytically for an initial, homogeneous earth, 2) exactly for a current model, 3) approximately by the Broyden method, and 4) approximately using the previous adjoint fields. Inversion experiments with static-shifted synthetic and field MT data indicate that inversion results are highly dependent on characteristics of data and thus applying various combinations of sensitivities is helpful in obtaining a good image of the subsurface structure with reasonable computation time.

Prediction of Structural Modified Design Parameter due to the Change of Dynamic Characteristic (동특성변화에 따른 구조물의 변경된 설계파라미터 예측)

  • 이정윤
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2004.04a
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    • pp.191-196
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    • 2004
  • This study proposed the analysis of mass position detection and modified stiffness due to the change of the mass and stiffness of structure by using the original and modified dynamic characteristics. The method is applied to examples of a cantilever and 3 degree of freedom by modifying the mass. The predicted detection of mass positions and magnitudes are in good agrement with these from the structural reanalysis using the modified mass.

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Robust Controller Design of Multivariable Plant using Sensitivity Minimization (감도 최소화 기법을 이용한 다변수 플랜트의 강인한 제어기 설계)

  • 이원규;김영달
    • The Proceedings of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.7 no.6
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    • pp.42-50
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    • 1993
  • In this paper the affect an inorganic filler and a f i n g up water absorption in epoxy composite material was represented. The results are summarized as follows ; 1. In the case of Sample 1, Sample 2 and a fillng up water absorption, the frequency depenence of E,' shows the straight characteristic underl4O0C. 2. Between lOOHz and 3kHz, the frequency dependency of tan8 is dominated by the loss of a dipole relaxation than the conductive loss for movement of a career. The effect of water absorption, is increased as the frequency is d e creased.

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A Study on the Effect of Controllers in Small Signal Stability of Power Systems (전력계통의 미소신호안정도에 미치는 제어기의 영향에 관한 연구)

  • 권세혁;김덕영
    • Journal of Energy Engineering
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    • v.5 no.1
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    • pp.72-79
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    • 1996
  • The effect of controllers-Exciter, Power System Stabilizer, and Static Var Compensator-in one machine infinite bus system is investigated in this paper. The structure of generator state matrix with controllers is represented, while the Static Var Compensator is installed in generator terminal bus. Eigen-value analysis is performed and the effects of controllers to the dominant eigenvalue in one machine infinite bus system are represented by first order eigenvalue sensitivity coefficients while the operating conditions of the system are varied. Optimization of controller parameters using first order eigenvalue sensitivity coefficients is performed by the Simplex Method. It is proved that exciter control is the most efficient method to improve stability of the system and the effect of Static Var Compensator is small, in the case of one machine infinite bus system.

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Optimum Operation of Power System Using Fuzzy Linear Programming (퍼지 선형계획법을 적용한 전력계통의 최적운용에 관한 연구)

  • 박성대;정재길;조양행
    • The Proceedings of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.8 no.1
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    • pp.37-45
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    • 1994
  • A method of optimal active and reactive power control for economic operation in electrical power system is presented in this paper. The major features and techniques of this paper are as follows: 1) The method presented for obtaining the equivalent active power balance equation applying the sparse Jacobian matrix of power flow equation instead of using B constant as active power Balance equation considering transmission loss, and for determining directly optimal active power allocation without repeating calculations. 2) More reasonable and economic profit by minimizing total fuel cost of thermal power plants instead of using transmission loss as objective function of reactive Power control can be achieved. 3) Particularly in reactive power control, computing time can be considerably reduced by using Fuzzy Linear Programming instead of using conventional Linear Programming.

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