• 제목/요약/키워드: Eigenvalue Sensitivity Analysis

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TCSC를 포함하는 전력계통의 RCF 해석법에 기초한 감도해석 (Eigenvalue sensitivity analysis of power systems including TCSC based on the RCF method)

  • 김덕영;박성주
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2008년도 제39회 하계학술대회
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    • pp.237-238
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    • 2008
  • In this paper, the RCF method is applied to analyze small signal stability of power systems including thyristor controlled FACTS equipments such as TCSC. The eigenvalue sensitivity analysis algorithm in discrete systems by the RCF method are presented and applied to the power system including TCSC. The RCF analysis method enabled to precisely calculate eigenvalue sensitivity coefficients of dominant oscillation modes after periodic switching operations. These simulation results are very different from those of the conventional continuous system analysis method such as the state space equation method.

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제어기정수에 대한 고유치 PERTURBATION과 대규모 전력계통의 미소신호안정도 해석 (Eigenvalue Perturbation for Controller Parameter and Small Signal Stability Analysis of Large Scale Power Systems)

  • 심관식;송성근;문채주;이기영;남해곤
    • 대한전기학회논문지:전력기술부문A
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    • 제51권11호
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    • pp.577-584
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    • 2002
  • This paper presents a novel approach based on eigenvalue perturbation of augmented matrix(AMEP) to estimate the eigenvalue for variation of controller parameter. AMEP is a useful tool in the analysis and design of large scale power systems containing many different types of exciters, governors and stabilizers. Also, it can be used to find possible sources of instability and to determine the most sensitivity parameters for low frequency oscillation modes. This paper describes the application results of AMEP algorithm with respect to all controller parameter of KEPCO systems. Simulation results for interarea and local mode show that the proposed AMEP algorithm can be used for turning controller parameter, and verifying system data and linear model.

이산 전력시스템에서 TCSC의 주기적 스위칭 동작에 의한 진동모드의 감도해석 (Sensitivity Analysis of Oscillation Modes Occurred by Periodic Switching Operations of TCSC in Discrete Power Systems)

  • 김덕영
    • 조명전기설비학회논문지
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    • 제22권2호
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    • pp.162-168
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    • 2008
  • 본 논문에서는 RCF 해석법을 싸이리스터 제어 FACTS 설비인 TCSC를 포함하는 전력계통의 미소신호안정도 해석에 적용하였다. 이산시스템에서 RCF 해석법에 기초한 고유치 감도해석 알고리즘을 제시하고 TCSC를 포함하는 전력계통에 적용하였다. 사례연구를 통해서 RCF 해석법이 TCSC의 주기적 스위칭 동작에 의해 발생하는 진동모드의 변화와 새로이 발생되는 불안정 진동모드의 정확한 해석에 매우 유용한 해석방법임을 보였다. 또한 RCF 해석법에 기초한 고유치 감도해석 방법을 사용하여 이산시스템에서 주기적 스위칭 동작에 의해 발생되는 중요 진동모드에 대한 제어기 감도계수를 정확히 구할 수 있음을 보였다. 이러한 사례연구 결과는 기존의 연속시스템에서의 상태방정식에 의한 해석결과와 크게 다른 것이며, RCF 해석법이 TCSC와 같이 주기적 스위칭 동작을 하는 설비를 포함하는 이산전력계통의 해석에 매우 유용한 방법임을 보여준다.

보조변수법을 이용한 감쇠계 고유치 설계민감도 해석 (Adjoint Design Sensitivity Analysis of Damped Systems)

  • 유정훈;이태희
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집C
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    • pp.398-401
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    • 2001
  • There are two methods to calculate design sensitivity such as direct differentiation method and adjoint method. A sort of direct differentiation method for design sensitivity analysis costs too much when number of design variables is much larger than the number of response functions whose design sensitivity analyses are required. Therefore, an adjoint method is suggested for the case that the dimension of design variables is lager than the number of response function. An adjoint method is required to compute adjoint variables from the simultaneous linear system equation, the so-called adjoint equation, requiring only the eigenvalue and its associated eigenvectors for mode being differentiated. This method has been extended to the repeated eigenvalue problem. In this paper, we propose an adjoint method for deign sensitivity analysis of damped vibratory systems with distinct eigenvalues.

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강체모드분리와 급수전개를 통한 고유치 문제에서의 준해석적 설계 민감도 개선에 관한 연구(II) -동적 문제 - (A Refined Semi-Analytic Sensitivity Study Based on the Mode Decomposition and Neumann Series Expansion in Eigenvalue Problem(II) - Eigenvalue Problem -)

  • 김현기;조맹효
    • 대한기계학회논문집A
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    • 제27권4호
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    • pp.593-600
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    • 2003
  • Structural optimization often requires the evaluation of design sensitivities. The Semi Analytic Method(SAM) fur computing sensitivity is popular in shape optimization because this method has several advantages. But when relatively large rigid body motions are identified for individual elements. the SAM shows severe inaccuracy. In this study, the improvement of design sensitivities corresponding to the rigid body mode is evaluated by exact differentiation of the rigid body modes. Moreover. the error of the SAM caused by numerical difference scheme is alleviated by using a series approximation for the sensitivity derivatives and considering the higher order terms. Finally the present study shows that the refined SAM including the iterative method improves the results of sensitivity analysis in dynamic problems.

연속법에 의한 판구조 고유진동수의 민감도 해석 (Eigenvalue design sensivity analysis of structure using continuum method)

  • 이재환;장강석;신민용
    • 한국해양공학회지
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    • 제11권1호
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    • pp.3-9
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    • 1997
  • In this paper, design sensivity of plate natural frequency is computed for thickness design variables. Once the variational equation is derived from Lagrange quation using the virtual displacement, governing energy bilinear form is obtained and sensivity equation is formulated through the first variation. Natural frequency is obtained using the commercial FEM code and the accuracy of sensivity is verified by finite difference. The accuracy of natural frequency and sensivity improves for the fine mesh model.

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제어기 매개변수를 고려한 전력계통의 고유치감도 해석에 관한 연구 (Eigenvalue Sensitivity Analysis Based on the Structure of System State Matrix)

  • 권세혁;노규민;김덕영;김형철
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1992년도 하계학술대회 논문집 A
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    • pp.157-160
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    • 1992
  • An approximate method for the dominant eigenvalue of one machine connected to the infinite bus has been suggested. This method is based on combining the traditional eigenvalue sensitivity analysis and the structure of the system state matrix. Numerical examples are presented. This method is considered to be quite useful in the stability analysis for various initial conditions and for adjustment of generator controller parameters.

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다기계통의 고유치감도해석에 관한 연구 (The Eigenvalue Sensitivity Analysis in Multimachine Power Systems)

  • 권세혁;노규민;김덕영
    • 대한전기학회논문지
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    • 제43권3호
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    • pp.372-380
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    • 1994
  • A systematic procedure for the elements of system state matrix in multimachine systems with loads and eigenvalue technique which utilize stage matrix have widespread application in the analysis of small signal stability. Synchronous machines are represented by either a two-axis model or classical model. The interrelationship of submatrices of system matrix is investigated. Once elements of one submatrix are determined, they can be used to calculate the elements of the other submatrix. The approach is useful in the eigenvalue sensitivity analysis for various initial conditions and for the adjustment of generator controller parameters. It is illustrated for a three-machine and nine-bus multimachine system(WSCC system) with constant impedance loads.

핵연료집합체 지지격자 위치결정을 위한 고유치 민감도해석 (Eigenvalue Design Sensitivity Analysis To Redesign Spacer Grid Location In Nuclear Fuel Assembly)

  • 박남규;이성기;김형구;최기성;이준노;김재원
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 춘계학술대회논문집
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    • pp.705-709
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    • 2002
  • The spacer grids in nuclear fuel assembly locate and align the fuel rods with respect to each other. They provide axial and lateral restraint against an excessive rod motion mainly caused by coolant flow. It is understood that each rod Is supported by multiple spacer grid. In such a case, it is important to determine spacer grid span so as to avoid resonance between the natural frequency of the fuel rods and excitation frequency. Actually dynamic characteristics of the fuel rods can be improved by assigning adequate spacer grid locations. When a dynamic performance of the structure is to be improved, design sensitivity analysis plays an important role as like many structural redesign problems. In this work, a shape design concept, different from conventional design, was applied to the problem. According to the theory shape can be a design parameter and optimal shape design can be found. This study concentrates on eigenvalue design sensitivity of the fuel rod supported by multiple spacer grids to determine optimal spacer grids positions.

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주파수 응답함수를 이용한 구조물 고유진동수 극대화를 위한 최적 지지점 선정 (Selection of Optimal Supporting Position to Maximize Natural Frequency of the Structure Using Frequency Response Function)

  • 박용화;정완섭;박윤식
    • 소음진동
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    • 제10권4호
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    • pp.648-654
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    • 2000
  • A procedure to determine the realizable optimal positions of rigid supports is suggested to get a maximum fundamental natural frequency. a measured frequency response function based substructure-coupling technique is used to model the supported structure. The optimization procedure carries out the eigenvalue sensitivity analysis with respect to the stiffness of supports. As a result of such stiffness optimization, the optimal rigid-support positions are shown to be determined by choosing the position of the largest stiffness. The optimally determined support conditions are verified to satisfy the eigenvalue limit theorem. To demonstrate the effectiveness of the proposed method, the optimal support positions of a plate model are investigated. Experimental results indicate that the proposed method can effectively find out the optimal support conditions of the structure just based on the measured frequency response functions without any use of numerical model of the structure.

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