• 제목/요약/키워드: collapse function

검색결과 160건 처리시간 0.027초

Luapunov 직접법에 의한 전력계통 전압안정도 해석 (A Study on Power System Voltage Stability Analysis by the Direct Lyapunov Function)

  • 문영현;박능수;이태식
    • 대한전기학회논문지
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    • 제43권5호
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    • pp.693-702
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    • 1994
  • This paper deals with direct voltage stability analysis using a power system energy function. The structure preserved energy function is proposed as an energy function for voltage stability analysis. With the use of the proposed energy function voltage collapse conditions are derived, which yields the exactly same results with the Jacobian matrix approach. The voltage collapse phenomenon is analyzed by several methods, which shows that all of the methods produce the same voltage condition. This study also investigates the voltage collapse dynamics by using the proposed energy function. As a result, it has been found that the voltage collapse can be classified into two categories: static and dynamic instablilties which have quite different behaviors. In addition a new method is presented to calculate the power capacity limit of transmission lines with respect to voltage stability. The proposed method is tested for a 2-bus sample system, which shows the characteristics of voltage collapse phenomenon via the energy function.

벡터 곱에 근거한 에너지함수 유도와 선로 컨덕턴스 및 커패시터를 포함한 전력시스템에의 적용 연구 (Derivation of an Energy Function Based on Vector Product and Application to the Power System with Transfer Conductances and Capacitors)

  • 문영현;오용택;이병하
    • 대한전기학회논문지:전력기술부문A
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    • 제54권6호
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    • pp.274-283
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    • 2005
  • This paper presents a new method to derive energy function based on vector product. Using this method, an energy function to consider transfer conductances and capacitors is derived. Then we recommend a voltage collapse criteria to predict the voltage collapse in power systems by using the energy margin derived by the proposed energy function. This energy function is applied to a 2-bus power system reflecting transfer conductances and capacitors. We show that the energy function derived based on vector product can be applied in order to analyze power system stability and the energy margin can be utilized as a criterion of voltage collapse by simulation for the 2-bus system.

Effect of seismic design level on safety against progressive collapse of concentrically braced frames

  • Rezvani, Farshad Hashemi;Asgarian, Behrouz
    • Steel and Composite Structures
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    • 제16권2호
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    • pp.135-156
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    • 2014
  • In this research the effect of seismic design level as a practical approach for progressive collapse mitigation and reaching desired structural safety against it in seismically designed concentric braced frame buildings was investigated. It was achieved by performing preliminary and advanced progressive collapse analysis of several split-X braced frame buildings, designed for each seismic zone according to UBC 97 and by applying various Seismic Load Factors (SLFs). The outer frames of such structures were studied for collapse progression while losing one column and connected brace in the first story. Preliminary analysis results showed the necessity of performing advanced element loss analysis, consisting of Vertical Incremental Dynamic Analysis (VIDA) and Performance-Based Analysis (PBA), in order to compute the progressive collapse safety of the structures while increasing SLF for each seismic zone. In addition, by sensitivity analysis it became possible to introduce the equation of structural safety against progressive collapse for concentrically braced frames as a function of SLF for each seismic zone. Finally, the equation of progressive collapse safety as a function of bracing member capacity was presented.

Rapid seismic vulnerability assessment by new regression-based demand and collapse models for steel moment frames

  • Kia, M.;Banazadeh, M.;Bayat, M.
    • Earthquakes and Structures
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    • 제14권3호
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    • pp.203-214
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    • 2018
  • Predictive demand and collapse fragility functions are two essential components of the probabilistic seismic demand analysis that are commonly developed based on statistics with enormous, costly and time consuming data gathering. Although this approach might be justified for research purposes, it is not appealing for practical applications because of its computational cost. Thus, in this paper, Bayesian regression-based demand and collapse models are proposed to eliminate the need of time-consuming analyses. The demand model developed in the form of linear equation predicts overall maximum inter-story drift of the lowto mid-rise regular steel moment resisting frames (SMRFs), while the collapse model mathematically expressed by lognormal cumulative distribution function provides collapse occurrence probability for a given spectral acceleration at the fundamental period of the structure. Next, as an application, the proposed demand and collapse functions are implemented in a seismic fragility analysis to develop fragility and consequently seismic demand curves of three example buildings. The accuracy provided by utilization of the proposed models, with considering computation reduction, are compared with those directly obtained from Incremental Dynamic analysis, which is a computer-intensive procedure.

원형공동의 점진적인 붕락에 따른 지표침하특성 (Surface Subsidence according to Progressive Collapse of Circular opening)

  • 지정배;김종우
    • 터널과지하공간
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    • 제10권1호
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    • pp.33-44
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    • 2000
  • 이 연구에서는 지하공동의 점진적인 붕락이 지표침하에 미치는 영향을 조사하기 위하여, 주문진산 표준사를 이용하여 모형지반을 구성하였으며, 공동의 심도를 달리하는 6가지 모델에 대하여 실내 모형실험을실시하였다. 여기서 공동의 심도와 붕락구간의 크기에 따른 침하발생양상을 조사하였다. 또한 NCB 방법, 지수함수를 이용한 윤곽함수법 영향함수법 등의 침하예측방법을 이용하여 모형실험으로부터 측정된 수직 및 수평변위를 해석하였으며, 모래지반에 적합한 침하예측방법을 제안하였다.

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DIRECT COMPUTATION OF MARGINAL OPERATING CONDITIONS FOR VOLTAGE COLLAPSE

  • Lee, Kyung-Jae;Jung, Tay-Ho
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1989년도 하계종합학술대회 논문집
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    • pp.195-201
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    • 1989
  • Voltage collapse is a serious concern to the electirc utility industry. It is common to associate steady-state stability with the ability of the transmission system to transport real power and to associate voltage collapse with the inability to provide reactive power at the necessary locations within the system. An algorithm to directly calculate the critical point of system voltage collapse was presented by the authors. The method (based on the ordinary power flow equations and explicit requirement of singularity of the Jacobian matrix) is basically one degree of freedom with proper load distribution factors. This paper suggests a modified algorithm to increase the degree of freedom, introducing the nonlinear programming technique. The objective function is a distance measure between the present operating point and the closest voltage collapse point. Knowledge of the distance and the most vulnarable bus from the voltage collapse point of view may be used as a useful index for the secure system operation.

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원형평판의 붕괴문제에 관한 유한차분 완전 하계해 (Complete lower bound solutions of circular plate collapse problems by a finite difference method)

  • 허훈
    • 대한기계학회논문집
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    • 제14권6호
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    • pp.1382-1390
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    • 1990
  • 본 연구에서는 Yang의 이론을 바탕으로 여러가지 원형집중하중을 받는 원형평 판에 관한 최대하계해를 구하고자 한다.앞서 열거한 문헌에서는 여러가지 해석법이 제시되었으나, 문제의 성격에 비하여 그 해법이 매우 복잡하였다. 본 논문에서는 원 형평판에 관한 해법으로서 전산기를 응용하여 가능한 한 단순한 해법으로 최대화기법 에 의한 완전한 해를 얻기 위한 시도를 제시하고자 한다.

심해용 압력용기에 대한 붕괴해석 (Collapse Analysis for Deep Sea Pressure Vessel)

  • 신장용;우종식
    • 한국해양공학회지
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    • 제13권4호통권35호
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    • pp.82-97
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    • 1999
  • A deep sea vehicle must be designed to ensure its safety under ultra-high pressure circumstances. If a pressure housing of a deepsea vehicle is collapsed by ultra-high pressure, the deepsea vehicle may be lost. The objective of this paper is to introduce a design collapse pressure for the deep sea pressure vessel which is composed of one cylinder and two hemispheres. Especially the collapse pressure of hemispherical shell with a hole at top is analyzed by a variational approach (weighted residual method). And for the purpose of design, the salty factor of collapse pressure is presented which is analyzed by interpolation method.

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Endochronic simulation for viscoplastic collapse of long, thick-walled tubes subjected to external pressure and axial tension

  • Lee, Kuo-Long;Chang, Kao-Hua
    • Structural Engineering and Mechanics
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    • 제18권5호
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    • pp.627-644
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    • 2004
  • In this study, the endochronic theory was used to investigate the collapse of thick-walled tubes subjected to external pressure and axial tension. The experimental and theoretical findings of Madhavan et al. (1993) for thick-walled tubes of 304 stainless steel subjected to external pressure and axial tension were compared with the endochronic simulation. Collapse envelopes for various diameter-to-thickness tubes under two different pressure-tension loadings were involved. It has been shown that the experimental results were aptly described by the endochronic approach demonstrated from comparison with the theoretical prediction employed by Madhavan et al. (1993). Furthermore, by using the rate-sensitivity function of the intrinsic time measure proposed by Pan and Chern (1997) in the endochronic theory, our theoretical analysis was extended to investigate the viscoplastic collapse of thick-walled tubes subjected to external pressure and axial tension. It was found that the pressure-tension collapse envelopes are strongly influenced by the strain-rate during axial tension. Due to the hardening of the metal tube of 304 stainless steel under a faster strain-rate during uniaxial tension, the size of the tension-collapse envelope increases.

Quick and Accurate Computation of Voltage Stability Margin

  • Karbalaei, Farid;Abasi, Shahriar
    • Journal of Electrical Engineering and Technology
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    • 제11권1호
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    • pp.1-8
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    • 2016
  • It is well known that the behavior of PV curves is similar to a quadratic function. This is used in some papers to approximate PV curves and calculate the maximum-loading point by minimum number of power flow runs. This paper also based on quadratic approximation of the PV curves is aimed at completing previous works so that the computational efforts are reduced and the accuracy is maintained. To do this, an iterative method based on a quadratic function with two constant coefficients, instead of the three ones, is used. This simplifies the calculation of the quadratic function. In each iteration, to prevent the calculations from diverging, the equations are solved on the assumption that voltage magnitude at a selected load bus is known and the loading factor is unknown instead. The voltage magnitude except in the first iteration is selected equal to the one at the nose point of the latest approximated PV curve. A method is presented to put the mentioned voltage in the first iteration as close as possible to the collapse point voltage. This reduces the number of iterations needed to determine the maximum-loading point. This method is tested on four IEEE test systems.