• 제목/요약/키워드: Stability of system

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ON $\phi$(t)-STABILITY FOR THE COMPARISON DIFFERENTIAL SYSTEM

  • Oh, Young-Sun;An, Jeong-Hyang
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제4권2호
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    • pp.161-166
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    • 1997
  • We obtained sufficient conditions for $\phi$(t)-stability and uniform $\phi$(t)-stability of the trivial solution of comparison differential system. we also investigated the corresponding stability concepts of the trivial solution of the differential system using the thoery of differential inequlities through cones and the method of conevalued Lyapunov functions.

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Voltage Stability Prediction on Power System Network via Enhanced Hybrid Particle Swarm Artificial Neural Network

  • Lim, Zi-Jie;Mustafa, Mohd Wazir;Jamian, Jasrul Jamani
    • Journal of Electrical Engineering and Technology
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    • 제10권3호
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    • pp.877-887
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    • 2015
  • Rapid development of cities with constant increasing load and deregulation in electricity market had forced the transmission lines to operate near their threshold capacity and can easily lead to voltage instability and caused system breakdown. To prevent such catastrophe from happening, accurate readings of voltage stability condition is required so that preventive equipment and operators can execute security procedures to restore system condition to normal. This paper introduced Enhanced Hybrid Particle Swarm Optimization algorithm to estimate the voltage stability condition which utilized Fast Voltage Stability Index (FVSI) to indicate how far or close is the power system network to the collapse point when the reactive load in the system increases because reactive load gives the highest impact to the stability of the system as it varies. Particle Swarm Optimization (PSO) had been combined with the ANN to form the Enhanced Hybrid PSO-ANN (EHPSO-ANN) algorithm that worked accurately as a prediction algorithm. The proposed algorithm reduced serious local minima convergence of ANN but also maintaining the fast convergence speed of PSO. The results show that the hybrid algorithm has greater prediction accuracy than those comparing algorithms. High generalization ability was found in the proposed algorithm.

Modelling and Stability Analysis of AC-DC Power Systems Feeding a Speed Controlled DC Motor

  • Pakdeeto, Jakkrit;Areerak, Kongpan;Areerak, Kongpol
    • Journal of Electrical Engineering and Technology
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    • 제13권4호
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    • pp.1566-1577
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    • 2018
  • This paper presents a stability analysis of AC-DC power system feeding a speed controlled DC motor in which this load behaves as a constant power load (CPL). A CPL can significantly degrade power system stability margin. Hence, the stability analysis is very important. The DQ and generalized state-space averaging methods are used to derive the mathematical model suitable for stability issues. The paper analyzes the stability of power systems for both speed control natural frequency and DC-link parameter variations and takes into account controlled speed motor dynamics. However, accurate DC-link filter and DC motor parameters are very important for the stability study of practical systems. According to the measurement errors and a large variation in a DC-link capacitor value, the system identification is needed to provide the accurate parameters. Therefore, the paper also presents the identification of system parameters using the adaptive Tabu search technique. The stability margins can be then predicted via the eigenvalue theorem with the resulting dynamic model. The intensive time-domain simulations and experimental results are used to support the theoretical results.

손실감소를 통한 고속철도부하를 포함한 154[㎸]벼 배전계통의 시스템 안정도 평가 (Assessment of System Stability via Loss Reduction in 154[㎸]System Supplying High Speed Railway)

  • 정현수;오재경;김진오
    • 조명전기설비학회논문지
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    • 제16권5호
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    • pp.83-89
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    • 2002
  • 고도의 산업화에 따른 물류량의 증가와 인구 도시집중 현상은 교통난을 더욱 더 심화시키고 있으며 수송효율성 향상 대책으로서 전기철도가 새롭게 부각되고 있다. 특히 전기철도는 수송력이 월등히 높고 안전성 및 신속성과 친환경적인 요소로 인해 세계 각국에서 미래 교통문제 해결의 최선의 대안으로 제시되고 있다. 우리나라 역시 경부고속전철사업이 추진중이며, 300[km/h]급의 서비스가 개시될 예정이다. 일반적으로 송.배전 계통은 3상 평형부하인 반면에 전기철도 부하는 단상 대용량 집중부하로서 이동과 정지가 빈번하고 부하변동이 극심한 전기적 특성을 가지고 있기 때문에, 우리나라 154[㎸]계통은 단락용량이 큼에도 불구하고 시스템의 안정도 평가는 필요하다 하겠다. 본 논문에서는 수식적으로 유도된 안정도 지수를 통한 시스템 안정도를 평가하고 시스템 안정도와 전력손실의 관계를 제시하였다. 또한 사례연구에서는 PSS/E를 활용하여 병렬 무효전력보상기기를 우리나라 154[㎸]계통에 적용하여 손실 감소를 통한 시스템 안정도 향상을 입증하였다.

h-STABILITY FOR NONLINEAR PERTURBED DIFFERENCE EQUATIONS

  • Lee, Gi-Soo
    • Journal of applied mathematics & informatics
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    • 제16권1_2호
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    • pp.489-496
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    • 2004
  • We study the h- stability of nonlinear difference system x(n+1) =f(n, x(n)) and its perturbed system y(n+l) =f(n, y(n))+g(n, y(n), Sy(n)).

실시간 감시 정보를 이용한 전압안정도 제어 방안에 대한 연구 (A Study on the Voltage Stability Control Scheme using Real-time Monitoring Data)

  • 이윤환
    • 전기학회논문지P
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    • 제66권4호
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    • pp.206-212
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    • 2017
  • In this paper, using the power system information obtained from real-time monitoring device, to analyze the voltage stability margin index and described the voltage stability control scheme for voltage stability enhancement. Based on the utilization of the voltage stability monitoring index based on local information provided by the PMU(Phasor Measurement Unit), the purpose of the plan is to control the system stably in real time. In order to apply the load control scheme, the voltage stability margin is calculated using the data acquired through the PMU installed in each load bus. If the voltage drops below a certain level, load control is performed for each. The effectiveness of the voltage stability control measures is applied to the actual KEPCO system to analyze the effectiveness.

재생에너지원 보급에 따른 전력계통 안정도 분석 (Analysis of Power System Stability by Deployment of Renewable Energy Resources)

  • 곽은섭;문채주
    • 한국전자통신학회논문지
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    • 제16권4호
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    • pp.633-642
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    • 2021
  • 제한적인 탄소배출의 필요성과 연계되는 전력수요 증가는 재생에너지산업에서 폭발적인 상승을 가져오고 있다. 전력계통에서 전기공급은 항상 전기수요와 균형을 맞추어야 할 필요가 있고, 안전하고 믿을만한 안정적인 운영을 유지하기 위하여 계통손실이 발생한다. 높은 비율의 재생에너지 보급을 갖는 전력계통에서 과도 안정도, 미소신호 안정도 및 주파수 안정도와 같은 넓은 범위의 3가지의 난제가 있다. 과도안정도는 선로계전기 동작이나 발전기 탈락과 같은 장애에 대한 계통응답을 해석하는 것이다. 미소신호 안정도는 계통관성 저하에 따른 전압불안정, 주파수 급변, 전력진동 등이 발생가능한 계통에서 조그만 증분같은 작은 동요가 일어날 때 전력계통 동기를 유지하기 위한 계통의 기능이다. 주파수 안정도는 발전과 부하 사이에 심한 불균형이 발생하는 중대 계통혼란에서도 정상 주파수를 유지하기 위한 전력계통의 기능으로 간주한다. 본 논문에서 재생에너지 보급계획에 따른 계통모의를 수행하여 3종류 안정도를 검토하며, 또한 재생에너지원이 계통안정도에 미치는 영향을 분석한다.

이중화 구조를 가진 변전소자동화시스템의 개발 (The Development of Dual Structured Power Management System)

  • 우천희;이보인
    • 전기학회논문지P
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    • 제59권3호
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    • pp.275-288
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    • 2010
  • In order to improve the quality of electricity in large scale power systems, stability of power system has to be achieved. This can be done by the means of preventative diagnosis of power equipments and protection, monitoring and control of the power system. Since the recent adoption of digital controllers, an improvement in stability was observed; in particular, IED, which contained self-diagnostic abilities such as fault tolerance, allowed for automatic recovery via redundancy or switching-over functions should there be faults with the equipments. Furthermore, communication lines have been hugely simplified, thus adding to the improvement in stability significantly. Taking these error reports and forecasting emergency reports and by effectively responding to them in the overiding controlling systems, high levels of system stability can be obtained. Power Management System that is being applied to automated power sub-stations, takes the IEC61850 international standard as its specification. In this paper, additional research into achieving stability of already developed PMS system and also the stability of the overall system was carried out, and the results of development of communication servers, which play a pivotal role in connecting systems, are stated.

에너지함수를 이용한 실계통에의 과도 안정도 평가 적용 (Transient Stability assessment in the real power system using Energy Function.)

  • 권태원;이경재;이병하;함완균
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1992년도 하계학술대회 논문집 A
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    • pp.153-156
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    • 1992
  • Transient stability analysis of Korea Electric power Corporation(KEPCO) system is conducted by time simulation method, and the method is robust and reliable. But, time simulation consumes enormous computing resources and engineering time, and it does not provide a measure of the degree of stability of the system. Therefore, this method does not apply to every changed condition appropriately and quickly in planning and operating. And Transient Energy Function (TEF) method whis can assess quickly and quantatively the degree of stability of the system and which judges the stability and the instability to analyse transient dynamic charater of the system by mutual changing kinetic energy and potential energy, is developed. TEF method analyses the first Swing transient stability of the system by using the thought that if after disturbance happening, the increase of all the rotator kinetic energy changes into the potential energy after diturbance clearing, the system is stable, otherwise the system is unstable. This paper represents the availabiIity of the TEF method by comparing with time simulation method on the two cases.

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Robust stability analysis of real-time hybrid simulation considering system uncertainty and delay compensation

  • Chen, Pei-Ching;Chen, Po-Chang
    • Smart Structures and Systems
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    • 제25권6호
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    • pp.719-732
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    • 2020
  • Real-time hybrid simulation (RTHS) which combines physical experiment with numerical simulation is an advanced method to investigate dynamic responses of structures subjected to earthquake excitation. The desired displacement computed from the numerical substructure is applied to the experimental substructure by a servo-hydraulic actuator in real time. However, the magnitude decay and phase delay resulted from the dynamics of the servo-hydraulic system affect the accuracy and stability of a RTHS. In this study, a robust stability analysis procedure for a general single-degree-of-freedom structure is proposed which considers the uncertainty of servo-hydraulic system dynamics. For discussion purposes, the experimental substructure is a portion of the entire structure in terms of a ratio of stiffness, mass, and damping, respectively. The dynamics of the servo-hydraulic system is represented by a multiplicative uncertainty model which is based on a nominal system and a weight function. The nominal system can be obtained by conducting system identification prior to the RTHS. A first-order weight function formulation is proposed which needs to cover the worst possible uncertainty envelope over the frequency range of interest. Then, the Nyquist plot of the perturbed system is adopted to determine the robust stability margin of the RTHS. In addition, three common delay compensation methods are applied to the RTHS loop to investigate the effect of delay compensation on the robust stability. Numerical simulation and experimental validation results indicate that the proposed procedure is able to obtain a robust stability margin in terms of mass, damping, and stiffness ratio which provides a simple and conservative approach to assess the stability of a RTHS before it is conducted.