• 제목/요약/키워드: Eigenvalue Analysis

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SVC의 스위칭 동작에 의해 발생되는 진동현상의 미소신호 안정도 해석 (Small signal stability analysis of oscillations caused by switching operations of SVC)

  • 김덕영
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2005년도 제36회 하계학술대회 논문집 A
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    • pp.495-497
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    • 2005
  • A new small signal stability analysis method for eigenvalue analysis is presented. This method is called RCF method and based on the computation of the state transition equations and state transition matrix over a specified time interval that corresponds to one or some cycle operations of the system. This method is applicable to any system with or without switching elements. As an applicable example of RCF method in power system, the one machine infinite bus system connected switching SVC at generator terminal is investigated and the results proved that variations of oscillation modes after switching operations can be calculated exactly.

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계통의 종합적 미소신호 안정도 해석 알고리듬과 ATC 산정에의 응용에 관한 연구 (A Unified Framework for Small Signal Stability Analysis of Power Systems and Its Application to Available Transfer Capability)

  • 김상암;송화창;이병준;권세혁
    • 대한전기학회논문지:전력기술부문A
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    • 제48권10호
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    • pp.1222-1230
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    • 1999
  • This paper presents the framework for analysis of small-signal stability. In this framework the equilibrium points of system DAE model are traced using continuation method and instability points are determined on the solution path. Especially Implicit shift QR-modified Arnoldi method is utilized to calculated the rightmost eigenvalues. Small-signal stability is becoming one of the major factors that affect the ATC in the environment of deregulation. Stability limited ATC is easily evaluated in this stability analysis process.

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축소모델에서 강체모드 분리와 급수전개를 통한 준해석적 민감도 계산 방법 (A REFINED SEMI-ANALYTIC DESIGN SENSITIVITIES BASED ON MODE DECOMPOSITION AND NEUMANN SERIES IN REDUCED SYSTEM)

  • 김현기;조맹효
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 춘계학술대회
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    • pp.491-496
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    • 2003
  • In sensitivity analysis, semi-analytical method(SAM) reveals severe inaccuracy problem when relatively large rigid body motions are identified for individual elements. Recently such errors of SAM resulted by the finite difference scheme have been improved by the separation of rigid body mode. But the eigenvalue should be obtained first before the sensitivity analysis is performed and it takes much time in the case that large system is considered. In the present study, by constructing a reduced one from the original system, iterative method combined with mode decomposition technique is proposed to compute reliable semi-analytical design sensitivities. The sensitivity analysis is performed by the eigenvector acquired from the reduced system. The error of SAM caused by difference scheme is alleviated by Von Neumann series approximation.

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단면 테이퍼, 초기 비틀림각, 그리고 장착 각의 영향을 고려한 회전 블레이드의 진동해석 (Vibration analysis of rotating blades considering the cross section taper, the pre-twist angle, and the setting angle)

  • 이준희;유홍희
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2009년도 춘계학술대회 논문집
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    • pp.288-295
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    • 2009
  • Equations of chordwise and flapwise bending motions for the vibration analysis of rotating pre-twisted blades having tapered cross section and orientation angle are derived by using hybrid deformation variable modeling. The two motions are couples to each other due to the pre-twisted angle of the beam cross section. The derived equations are transformed into dimensionless forms in which dimensionless parameters are identified. The effects of the dimensionless parameters on the modal characteristics of rotating pre-twisted blades having tapered cross section and orientation angle are investigated. The eigenvalue loci veering phenomena is also investigated and discussed in this work.

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독립좌표연성법을 이용한 여러 개의 원형 구멍을 갖는 직사각형 평판의 자유진동해석 (Free Vibration Analysis of Rectangular Plate with Multiple Circular Cutouts by Independent Coordinate Coupling Method)

  • 곽문규;송명호
    • 한국소음진동공학회논문집
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    • 제17권11호
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    • pp.1086-1092
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    • 2007
  • This paper is concerned with the vibration analysis of a rectangular plate with multiple circular holes. On the contrary to the case of rectangular plate with multiple rectangular holes, it is very difficult to perform qualitative analysis on natural vibration characteristics because of geometrical inconsistency. In this paper, we applied the Independent Coordinate Coupling Method(ICCM) to the addressed problem, which was developed to compute natural vibration characteristics of the rectangular plate with a circular hole and proven to be computationally effective. The ICCM is based on Rayleigh-Ritz method but utilizes independent coordinates for each hole domain. By matching the deflection conditions for each hole imposed on the expressions, we can easily derive the reduced mass and stiffness matrices. The resulting equation is then used for the calculation of the eigenvalue problem. The numerical results show the efficacy of the Independent Coordinate Coupling Method.

파형강판 복부의 전단좌굴거동 연구 (Shear Buckling Behavior for Trapezoidal Corrugated Webs for Bridges)

  • 이필구;윤태양;이학은;이승록
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2003년도 봄 학술발표회 논문집
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    • pp.513-520
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    • 2003
  • As a trapezoidal corrugated steel plate has the sufficient stiffness out of plane direction without shear stiffener or thick plate, a use in the web of bridge structure is on the increase. However, there are no domestic design guides for shear buckling strength of corrugated plates. Therefore, foreign design specifications are analyzed about application methods and a numerical parametric study is used to get the relationship of the shear strength and geometric boundary conditions for corrugated plates. Elastic buckling finite element analysis is executed through eigenvalue analysis using the eight nodes five freedoms thin shell element. Parameters such as the width and height of panel and the thickness and height of web, are determined considering the factors to influence on the buckling of corrugated plate. Accuracy of shear buckling analysis is evaluated with theory of foreign buckling equations.

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유체로 연성되고 크기가 다른 두 원판의 진동해석 (Vibration Analysis of Two Unequal Circular Plates Coupled with a Fluid)

  • 정경훈;최순
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2004년도 춘계학술대회논문집
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    • pp.258-262
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    • 2004
  • An analytical method for the free vibration of two circular plates coupled with a fluid was developed by the Rayleigh-Ritz method. The two plates with unequal thickness and diameter are clamped along the cylindrical vessel wall. It is assumed that the fluid bounded by a rigid cylindrical vessel is incompressible and non-viscous. The wet mode shape of the circular plates is assumed as a combination of the dry mode shapes of the plates. The fluid motion is described by using the fluid displacement potential and determined by using the compatibility conditions along the fluid interface with the plate. Minimizing the Rayleigh quotient based on the energy conservation gives a eigenvalue problem. It is found that the theoretical results can predict well the fluid-coupled natural frequencies with excellent accuracy comparing with the finite element analysis result.

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유한요소법을 이용한 하드디스크의 회전 연성 진동 해석 및 설계민감도 연구 (Coupled Vibration Analysis and Sensitivity of HDD using the Finite Element Method)

  • 왕세명;이기영
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2000년도 춘계학술대회논문집
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    • pp.472-478
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    • 2000
  • The vibration of the hard disk drive (HDD) systems, which comprises flexible disks, flexible shafts, bearings, and base structures, are analyzed by a finite element method (FEM) to cope with complicated coupling effects between them. The natural frequencies and mode shapes of the uncoupled, axial and bending coupled vibrations are calculated. Modal testing of the HDD systems is performed to validate the finite element analysis (FEA) results. Good agreement was obtained between the computed and experimental results. Sizing design sensitivity analysis (DSA) of the system was performed with the thickness of base structure and bearing stiffness as design variables. The DSA results tell how can I increase or decrease eigenvalue of the system effectively.

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독립좌표연성법을 이용한 정사각형 구멍을 갖는 단순지지 원판의 자유진동해석 (Free Vibration Analysis of a Simply-Supported Circular Plate with a Concentric Square Hole by the Independent Coordinate Coupling Method)

  • 허석;곽문규
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2008년도 추계학술대회A
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    • pp.967-972
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    • 2008
  • This paper presents the free vibration analysis of a circular plate with a concentric square hole. The present problem deals with the numerical calculation of the natural frequencies and mode shapes of vibration of the structure by means of Independent Coordinate Coupling Method (ICCM). In this study, the boundary condition is the edge of the square hole is free and the outer circular plate is simply supported. Due to the geometric abnormality, this analysis does not permit an exact solution. Since the ICCM employs coordinate systems corresponding to each domain independently, the kinetic and potential energy expressions necessary for the Rayleigh-Ritz method can be easily obtained. Lastly, the kinematic relation is imposed. In this way, the eigenvalue problem can be easily set up. The numerical results show the efficacy of the ICCM and changes in natural frequencies and modes due to the square hole size.

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RCF법을 사용한 미소신호 안정도 해석방법 (Small signal stability analysis using RCF method)

  • 김덕영
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2002년도 추계학술대회 논문집 전력기술부문
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    • pp.94-97
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    • 2002
  • A new small signal stability analysis method for eigenvalue analysis is presented. The method is based on the computation of the transition matrix over a specified time interval that corresponds to one cycle operation of the system The method is applicable to any system with or without nonlinear elements. An applicable example of RCF method is presented and the eigenvalues are compared with those of the conventional state space method to show the exactness of the computed eigenvalues of the new method. Also, the variations of oscillation modes which were caused by the switching operation can be analyzed exactly using RCF method.

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