• Title/Summary/Keyword: Stability Analysis Method

Search Result 3,773, Processing Time 0.031 seconds

Small signal stability analysis of power systems with non-continuous operating elements by using RCF method : Modeling of the state transition equation (불연속 동작특성을 갖는 전력계통의 RCF법을 사용한 미소신호 안정도 해석 : 상태천이 방정식으로의 모델링)

  • Kim Deok Young
    • Proceedings of the KIEE Conference
    • /
    • summer
    • /
    • pp.342-344
    • /
    • 2004
  • In conventional small signal stability analysis, system is assumed to be invariant and the state space equations are used to calculate the eigenvalues of state matrix. However, when a system contains switching elements such as FACTS devices, it becomes non-continuous system. In this case, a mathematically rigorous approach to system small signal stability analysis is by means of eigenvalue analysis of the system periodic transition matrix based on discrete system analysis method. In this research, RCF(Resistive Companion Form) method is used to analyse small signal stability of a non-continuous system including switching elements'. Applying the RCF method to the differential and integral equations of power system, generator, controllers and FACTS devices including switching elements should be modeled in the form of state transition matrix. From this state transition matrix eigenvalues which are mapped to unit circle can be calculated.

  • PDF

Design Rainfall for Slope Stability Analysis and Its Application (사면안정해석을 위한 설계강우 산정과 적용방안)

  • Kim, Kyung-Suk;Jang, Hyun-Ick;Chung, Choong-Ki
    • Proceedings of the Korean Geotechical Society Conference
    • /
    • 2008.10a
    • /
    • pp.957-965
    • /
    • 2008
  • Recently, slope stability analysis in current design criteria is criticized for its unrealistic assumption of groundwater table and slope stability analysis incorporating seepage analysis considering rainfall is gaining a recognition as an alternative. However, a reasonable method for determining the rainfall used in the seepage analysis has not yet been established. Rainfall input for seepage analysis is a time series of rainfall and is similar to the hyetograph which is usually obtained from hydrology. In this paper a method to obtain the hyetograph from the intensity-duration-frequency is proposed. The resulting hyetograph can be used in the in the slope design stage. Also some considerations for practical application of slope stability analysis considering the rainfall is included.

  • PDF

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

  • Kim, Sang-Ahm;Song, Hwa-Chang;Lee, Byong-Jun;Kwon, Sae-Hyuk
    • The Transactions of the Korean Institute of Electrical Engineers A
    • /
    • v.48 no.10
    • /
    • pp.1222-1230
    • /
    • 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.

  • PDF

Derivation of a Group of Lyapunov Functions reflecting Damping Effects and its Application (댐핑 영향을 반영하는 Lyapunov 함수 그룹의 유도 및 응용)

  • Moon, Y.H.;Choi, B.K.;Roh, T.H.;Lee, T.S.;Lee, Y.S.
    • Proceedings of the KIEE Conference
    • /
    • 1995.11a
    • /
    • pp.195-198
    • /
    • 1995
  • Most of the theorems of nonlinear stability is based on the Lyapunov stability theory. The Lyapunov function method is the most well-known and provides precise and rigorous theoretical backgrounds. However, tile conventional approach to direct stability analysis has been performed without taking account of damping effects. For accurate stability analysis of nonlinear systems, it is required to consider the damping effects. This paper presents a new method to derive a group of Lyapunov functions to reflect the damping effects by considering the integral relationships of the system governing equations. This method tan be utilized as a powerful tool to determine the region of attraction.

  • PDF

Slope Stability Analysis Considering Multi Failure Mode (다중파괴모드를 고려한 사면안정해석)

  • Kim, Hyun-Ki;Kim, Soo-Sam
    • Journal of the Korean Society for Railway
    • /
    • v.14 no.1
    • /
    • pp.24-30
    • /
    • 2011
  • Conventional slope stability analysis is focused on calculating minimum factor of safety or maximum probability of failure. To minimize inherent uncertainty of soil properties and analytical model and to reflect various analytical models and its failure shape in slope stability analysis, slope stability analysis method considering simultaneous failure probability for multi failure mode was proposed. Linear programming recently introduced in system reliability analysis was used for calculation of simultaneous failure probability. System reliability analysis for various analytical models could be executed by this method. For application analysis for embankment, the results of this method shows that system stability of embankment calculate quantitatively.

Stochastic Stability Analysis of the Power System Incorporating Wind Power using Measurement Wind Data

  • Parinya, Panom;Sangswang, Anawach;Kirtikara, Krissanapong;Chenvidhya, Dhirayut
    • Journal of Electrical Engineering and Technology
    • /
    • v.13 no.3
    • /
    • pp.1110-1122
    • /
    • 2018
  • This paper proposes an alternative method to evaluate the effect of wind power to the power system stability with small disturbance. Alternatively, available techniques for stability analysis of a power system based on deterministic methods are less accurate for high penetration of wind power. Numerical simulations of random behaviors are computationally expensive. A stochastic stability index (SSI) is proposed for the power system stability evaluation based on the theory of stochastic stability and energy function, specifically the stochastic derivative of the relative well-defined energy function and the critical energy. The SSI is implemented on the modified nine-bus system including wind turbines under different conditions. A doubly-fed induction generator (DFIG) wind turbine is characterized and modeled using measured wind data from several sites in Thailand. Each of the obtained wind power data is analyzed. The wind power effect is modeled considering the aggregated effect of wind turbines. With the proposed method, the system behavior is properly predicted and the stability is quantitatively evaluated with less computational effort compared with conventional numerical simulation methods.

A Stability Analysis of Mamdani Type Fuzzy Systems (맘다니형 퍼지 시스템의 안정 해석)

  • Lee, Chang-Hoon;Sugeno, Mickle
    • Proceedings of the KIEE Conference
    • /
    • 2001.11c
    • /
    • pp.76-79
    • /
    • 2001
  • This paper is concerned with a stability analysis of Madam Type fuzzy systems. It Introduces the canonical form of an unforced fuzzy system and its stability theorem suggested in the previous study. Then it gives new simplified stability conditions based on the Lyapunov function method. A common positive definite matrix in the stability conditions is searched by the LMI method.

  • PDF

A New Approach to the Stability Analysis Method of Net-worked Control Systems

  • Joonhong Jung;Park, Sooyoung;Park, Kiheon
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 2002.10a
    • /
    • pp.53.6-53
    • /
    • 2002
  • $\textbullet$ Present a new stability analysis method of NCSs $\textbullet$ Propose the stability condition of NCSs with dynamic controller $\textbullet$ Find the stability region where NCSs for power system are guaranteed to be stable $\textbullet$ Determine a proper sampling period of NCSs that preserves desired stability performance $\textbullet$ Experiment : NCSs for power system using CAN.

  • PDF

Study on slope stability of waste dump with a weak layer using finite element limit analysis method

  • Chong Chen;Huayong Lv;Jianjian Zhao;Zhanbo Cheng;Huaiyuan Wang;Gao Xu
    • Structural Engineering and Mechanics
    • /
    • v.89 no.3
    • /
    • pp.253-263
    • /
    • 2024
  • Slope stability is generally paid more attention to in slope protection works, especially for slope containing weak layers. Two indexes of safety factor and failure model are selected to perform slope stability. Moreover, the finite element limit analysis method comprehensively combines the advantage of the limit analysis method and the finite element method obtaining the upper and lower bounds of the safety factor and the failure mode under the slope stability limit state. In this study, taking a waste dump containing a weak layer as an engineering background, the finite element limit analysis method is adopted to explore the potential failure mode. Meanwhile, the sensitivity analysis of slope stability is performed on geometrical and geotechnical parameters of the waste dump. The results show that the failure mode of the waste dump slope is two wedges if the weak layer is located on the ground surface (Model A), while the slope can be observed as three wedges failure if the weak layer is below the ground surface (Model B). In addition, both failure modes are highly sensitive to the friction angle of the weak layer and the shear strength of waste disposal, and moderately sensitive to the heap height, the dip angle and cohesion of the weak layer, while the toe cutting has limited effect on the slope stability. Moreover, the sensitivity to the excavation of the ground depends on the location of the weak layer and failure mode.

Sensitivity Analysis of Input Parameters in Slope Stability Analysis (사면 안정해석에 적용되는 입력 인자들의 민감도 분석)

  • Baek Yong;Bae Gyu-Jin;Kwon O-Il;Chang Soo-Ho;Koo Ho-Bon
    • Journal of the Korean Geotechnical Society
    • /
    • v.21 no.5
    • /
    • pp.75-82
    • /
    • 2005
  • Shear strength parameters obtained from field tests are important factors in the analysis of slope stability. In this paper, sensitivity analysis was performed to evaluate the effect of input parameters on the analysis of slope stability. The input parameters selected for sensitivity analysis were slope angle, cohesion, and friction angle. Monte-Carlo Simulation method was to estimate input parameters for sensitivity analysis in slope stability, and the limit equilibrium method was used to calculate the factor of safety of slope stability. A rock slope, failed in the field, was used for the sensitivity analysis of input parameters in the analysis of slope stability. The result of analysis shows that the factor of safety of the rock slope was a little low. From partial correlation coefficient (PCC) of input parameters from the sensitivity analysis, slope stability was dependant mainly on cohesion and slope angle. The effect of friction angle was smaller than those of cohesion and slope angle on slope stability.