• Title/Summary/Keyword: Numerical Stability

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A Practical Exciter Model Reduction Approach For Power System Transient Stability Simulation

  • Kim, Soobae
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.29 no.10
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    • pp.89-96
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    • 2015
  • Explicit numerical integration methods for power system transient stability simulation require very small time steps to avoid numerical instability. The EXST1 exciter model is a primary source of fast dynamics in power system transients. In case of the EXST1, the required small integration time step for entire system simulation increases the computational demands in terms of running time and storage. This paper presents a practical exciter model reduction approach which allows the increase of the required step size and thus the method can decrease the computational demands. The fast dynamics in the original EXST1 are eliminated in the reduced exciter model. The use of a larger time step improves the computational efficiency. This paper describes the way to eliminate the fast dynamics from the original exciter model based on linear system theory. In order to validate the performance of the proposed method, case studies with the GSO-37 bus system are provided. Comparisons between the original and reduced models are made in simulation accuracy and critical clearing time.

Finite Element Analysis of High-speed Rotating Disks Considering Impulsive Loading by the Clearance and Contact (간격 및 접촉에 의한 충격하중을 고려한 고속 회전 디스크의 유한요소 해석)

  • Lee, Kisu;Kim, Yeong Sul;So, Jae Uk
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.24 no.1
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    • pp.45-53
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    • 2014
  • For the time integration solution of the impulsive dynamic contact problem of high-speed rotating disks formulated by the finite element technique, the velocity and acceleration contact constraints as well as the displacement contact constraint are imposed for the numerical stability without spurious oscillations. The solution of the present technique is checked by the numerical simulation using the concentric high-speed rotating disks with the clearance and impulsive loading. It is shown that the almost steady state solution agrees with the corresponding analytical solution of the elasticity and that the differentiated constraints are crucial for the numerical stability of such high-speed contact problems of the disks under impulsive loading.

Stability Analysis on the Crushing Facility Space in Mine Tunnel (갱내 파쇄시설 구축을 위한 갱도 안정성평가)

  • Kim, Jong-Gwan;Yang, Hyung-Sik;Kim, Won-Beom;Jang, Myoung-Hwan;Ha, Tae-Wook
    • Tunnel and Underground Space
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    • v.20 no.3
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    • pp.145-152
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    • 2010
  • In this study, a survey of structural geology and discontinuities were carried out on the space in a limestone mine where the construction of crushing facilities is in planning. The stability of the site was analyzed by rock mass classifications and numerical analysis. Through these analyses, it could be known that removal of pillars could make the stability problems in the mine and the supports for pillars must be considered.

The stability analysis of high-temperature superconductor tape (고온 초전도체 테이프의 안정성 해석)

  • Jeong, S.G.;Seol, S.Y.
    • Proceedings of the KSME Conference
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    • 2000.11b
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    • pp.186-191
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    • 2000
  • Stability of a Bi-2223/Ag tape was studied by using a numerical method. A numerical modeling has been developed to analyze the dynamic evolution of normal zone in a composite tape Bi-2223/Ag. In this paper, the stability of HTS tape is studied by considering the non-uniform temperature distribution in a cross-sectional area. The finite-difference method(FDM) is used to solve the two-dimensional heat conduction equation. Two kinds of analyses are compared to quantify the critical disturbance energy fur quenching HTS tapes. One is the length-thickness(x-y) side and the other is the length-width(x-z) side. The results of analyses shows that the critical disturbance energies for each cases seem to be very close for considered Bi-2223/Ag tape.

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Hydrodynamic Stability Analysis of KEB Boundary-Layer Flow (KEB 경계층 유동의 유동특성 해석)

  • Lee Yun-Yong;Lee Kwang-Won;Hwang Young-Kyu
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.683-686
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    • 2002
  • The hydrodynamic instability of the three-dimensional boundary-layer over a rotating disk has been numerically investigated for three cases flows using linear stability theory (i.e. Rossby number, Ro = -1, 0, and 1). Detailed numerical values of the disturbance wave number, wave frequency, azimuth angle, radius (Reynolds number, Re) and other characteristics have been calculated for $K{\acute{a}}rm{\acute{a}}n$, Ekman and $B{\"{o}}ewadt$ boundary-layer flows. Neutral curves for these flows are presented. Presented are the neutral stability results concerning the two instability modes (Type I and Type II) by using a two-point boundary value problem code COLUEW that was based upon the adaptive orthogonal collocation method using B-spline. The prediction from the present results on both instability modes among the three cases agrees with the previously known numerical and experimental data well.

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Application of Hyperbolic Two-fluids Equations to Reactor Safety Code

  • Hogon Lim;Lee, Unchul;Kim, Kyungdoo;Lee, Won-Jae
    • Nuclear Engineering and Technology
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    • v.35 no.1
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    • pp.45-54
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    • 2003
  • A hyperbolic two-phase, two-fluid equation system developed in the previous work has been implemented in an existing nuclear safety analysis code, MARS. Although the implicit treatment of interfacial pressure force term introduced in momentum equation of the hyperbolic equation system is required to enhance the numerical stability, it is very difficult to implement in the code because it is not possible to maintain the existing numerical solution structure. As an alternative, two-step approach with stabilizer momentum equations has been selected. The results of a linear stability analysis by Von-Neumann method show the equivalent stability improvement with fully-implicit solution method. To illustrate the applicability, the new solution scheme has been implemented into the best-estimate thermal-hydraulic analysis code, MARS. This paper also includes the comparisons of the simulation results for the perturbation propagation and water faucet problems using both two-step method and the original solution scheme.

Numerical Modeling of Short-Time Scale Nonlinear Water Waves Generated by Large Vertical Motions of Non-Wallsided Bodies (Non-Wallsided 물체의 연직운동에 의해 발생된 파의 비선형 해석을 위한 수치해석 모형의 연구)

  • Park, Jong-Hwan;;Troesch, Armin W.
    • Journal of Ocean Engineering and Technology
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    • v.7 no.1
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    • pp.33-55
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    • 1993
  • 선수충격파의 문제를 푸는데 있어서 Boundary Integral Method(BIM)의 여러가지 수치 해석방법이 검토되었으며, 특히 여러가지 Time stepping scheme, Green function, far-field 조건등에 따른 수치해석안정성과 정확성의 상관관계가 연구되었다. von Neumann 안정성해석과 matrix 안정성해석 등을 이용한 선형 안정성해석을 기초로하여, 수치해석방법의 안정성 여부를 체계적으로 조사할 수 있는 parameter(Free Surface Stability number)를 설정하고, 이 parameter의 변화에 따른 비선형 운동해석을 연구하였다. 그 결과 비선형성이 심하지 않은 기진파의 경우에서는 비선형 운동해석의 수치해석 안정성의 선형 수치해석 안정성과 큰 차이가 없음을 알 수 있게 된다.

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An Experimental Study on Optimal Size of Core Material in Rubble Mould Breakwater (사석 방파제에서 내부사석의 적정규격에 관한 실험적 연구)

  • 민석진;배종철;김성득
    • Journal of Ocean Engineering and Technology
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    • v.18 no.1
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    • pp.16-21
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    • 2004
  • In general, core materials of rubble mound breakwater are used at a restricted range of 0.015㎥~0.03㎥. However, it is not satisfied with the standard design in over fifty percent of the cases. In this study, model tests and numerical analysis are employed to examine the range of core material that has no problem with capacity maintenance and stability of rubble mound breakwater. Model tests measure the porosities that are mixed in various ratios, to classify core materials by three parameters. The slope stability of rubble mound breakwater is investigated, using numerical analysis, with a friction angle and a unit weight. The change of unit weight, which is followed by the mixed rate of size core material, has no large affect on slope stability, and there is no problem with ensuring slope stability of the rubble mound breakwater.

Stability Evaluation of One-Dimensional Flow in Solid Rocket Motors Based on Computational Fluid Dynamics

  • Kato, Takashi;Hanzawa, Masahisa;Morita, Takakazu;Shimada, Tbru
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2004.03a
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    • pp.565-572
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    • 2004
  • Numerical stability analysis of one-dimensional axial flow in solid rocket motors is performed based on the Euler equation coupled with an unsteady combustion equation of solid propellant. In order to check the numerical scheme, behavior of a standing wave in a closed tube is examined. A standing wave in solid rocket motor decays or grows depending on the total effect of propellant combustion, nozzle flow, and so on. The stability boundary of the fundamental mode standing wave is determined by changing one of the combustion parameters. In addition growth rates of the wave are calculated numerically in relatively low Mach number flow region for the motors with different port and nozzle throat diameters. The results obtained here agree well with the approximate solution. The same scheme is applied to a motor with shorter length and L*-instability is observed.

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Ground Stability Assessement for the Mining Induced Subsidence Area (지하공동에 의한 지표침하지역의 지반안정성 평가)

  • 권광수;박연준;신희순;신중호
    • Tunnel and Underground Space
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    • v.4 no.2
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    • pp.170-185
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    • 1994
  • Surface subsidence is one of the problems caused by mined out caverns. Depending on the geologic conditions and mining methods, subsidence can occur in various forms. This report describes the ground stability assessment for the mining induced subsidence area where unfilled caverns still exist abandoned. Geologic features which could affect the stability of the ground were investigated and all the possible geophysical methods were employed to obtain data that could explain the state of the ground in question. Basic rock tests were conducted from the drill cores and rock mass classification was performed by core logging and borehole camera investigation. Numerical analyses were carried out to predict the ground stability using data obtained by various investigations. The result could have been more reliable if in-situ stress were measure and reflected in the numerical analysis.

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