• Title/Summary/Keyword: signal stability

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Eigenvalue Analysis of Power Systems with Non-Continuous Operating Elements by the RCF Method : Modeling of the State Transition Equations (불연속 동작특성을 갖는 전력계통의 RCF법을 사용한 고유치 해석 : 상태천이 방정식으로의 모델링)

  • Kim Deok Young
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.54 no.2
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    • pp.67-72
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    • 2005
  • 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 paper, 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 equations. From this state transition matrix eigenvalues which are mapped to unit circle can be calculated.

Modeling of the State Transition Equations of Power Systems with Non-continuously Operating Elements by the RCF Method

  • Kim, Deok-Young
    • KIEE International Transactions on Power Engineering
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    • v.5A no.4
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    • pp.344-349
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    • 2005
  • In conventional small signal stability analysis, the system is assumed to be invariant and the state space equations are used to calculate the eigenvalues of the state matrix. However, when a system contains switching elements such as FACTS equipments, it becomes a non-continuous system. In this case, a mathematically rigorous approach to system small signal stability analysis is performed by means of eigenvalue analysis of the system's periodic transition matrix based on the discrete system analysis method. In this paper, the RCF (Resistive Companion Form) method is used to analyze the small signal stability of a non-continuous system including switching elements. Applying the RCF method to the differential and integral equations of the power system, generator, controllers and FACTS equipments including switching devices should be modeled in the form of state transition equations. From this state transition matrix, eigenvalues that are mapped into unit circles can be computed precisely.

Analysis of Oscillation Modes of the STATCOM by the RCF Method (RCF 해석법을 사용한 STATCOM의 진동모드 해석)

  • Lee, Yun-Ho;Kim, Deok-Young
    • Proceedings of the KIEE Conference
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    • 2006.07a
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    • pp.228-229
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    • 2006
  • The RCF analysis method is used to analyze small signal stability of power systems including GTO controlled FACTS equipment such as STATCOM. To apply the RCF analysis method in power system small signal stability problems, the state transition equations of power system equipments and power systems with STATCOM are presented. In eigenvalue analysis of power systems by the RCF analysis method, the STATCOM is modelled into the equivalents voltage source model and the PWM switching circuit model. As a result of simulation, the RCF analysis method is very powerful to calculate the oscillation modes exactly after the switching operations, and useful to analyze the small signal stability of power systems with periodically operated switching device such as the STATCOM.

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Eigenvalue Analysis of Power Systems with GTO Controlled SSSC by the RCF Method (GTO 제어 SSSC가 설치된 계통의 RCF 해석법에 의한 고유치 해석)

  • Dong, Moo-Hwan;Kim, Deok-Young
    • Proceedings of the KIEE Conference
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    • 2006.07a
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    • pp.230-231
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    • 2006
  • In this paper, the RCF(Resistive Companion Form) analysis method is used to analyze small signal stability of power systems including GTO controlled FACTS equipment such as SSSC. To apply the RCF analysis method in power system small signal stability problems, state transition equations of power system equipments and power systems with SSSC are presented. In eigenvalue analysis of power systems by the RCF analysis method, SSSC is modelled into the equivalents voltage source model and PWM switching circuit model. As a result of simulation, the RCF method is very powerful to calculate the oscillation modes exactly after the switching operations, and useful to analyze the small signal stability of power systems with periodic switching device such as SSSC.

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RPEM Algorithm for Adaptive Bilinear Filter (적응 쌍선형 필터의 RPEM 알고리즘)

  • 백흥기;황지원;안봉만
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.30B no.3
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    • pp.10-21
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    • 1993
  • Bilinear models are attractive for adaptive filtering applications because they can approximate a large class of nonlinear systems adequately, and usually with considerable parsimony in the number of coefficients compared with Volterra models. But bilinear filters have stability problem because they involve nonlinear feedback. Adaptive algorithms for bilinear filters may be diverge and have poor convergence characteristics when input signal is large In this paper, necessary and sufficient condition for mean square stability of bilinear filters for given input signal statistics is briefly described, and the method obtaining the input bound to guarantee the stability of bilinear filters is presented. New RPEM algorithm, which does not diverge and has the superior convergence characteristics compared with the conventional RPEM algorithm when input signal is large, is derived by applying the time-varying Kalman filtering concept to the conventional RPEM algorithm.

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The Study on the Ultrasound Signal Processing for Estimating the Attenuation Coefficient - The study on the stability of the attenuation coefficient in silicon-made phantom using both homomorphic process and the modified spectral difference method - (감쇠 계수 추출을 위한 초음파 신호 분석 연구 - Homomorphic Process와 수정된 spectral difference방법을 사용하여 얻은 실리콘 팬텀의 감쇠 계수 안정성에 관한 연구 -)

  • 송인찬;민병구
    • Journal of Biomedical Engineering Research
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    • v.12 no.4
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    • pp.249-254
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    • 1991
  • In the study on the quantitative diagnosis using ultrasound, the stability and precision of tissue characterized parameters are important for the clinical application. We estimate attenuation coefficient introducing homomorphlc process Into the modified spectral differnce method about silicon-madu phantom. We compare the results with those estimated uslng the method used for obtaining the attenuation map image before. Homomorphic process has the effect smoothing the reflected echo signal spectrum, therefore eliminat os the random pattern of the signal spectrum generated by the scatterers. As a result, it Is shown that the stability is enhanced

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Analysis of small signal stability using resonance condition (공진 조건을 이용한 미소신호 안정도 해석)

  • Cho, Sung-Jin;Jang, Gil-Soo;Yoon, Tae-Woong
    • Proceedings of the KIEE Conference
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    • 2001.07a
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    • pp.109-111
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    • 2001
  • Modern power grids are becoming more and more stressed with the load demands increasing continually. Therefore large stressed power systems exhibit complicated dynamic behavior when subjected to small disturbance. Especially, it is needed to analyze special conditions which make small signal stability structure varied according to operating conditions. This paper shows that the relation between small signal stability and operating conditions can be predicted well using node-focus point and 1:1 resonance point. Also, the weak point which limits operating range can be identified by the analysis of resonance condition. The proposed method is applied to test systems, and the results illustrate its capabilities.

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Comparison of Small Signal Stability Analysis Methods in Complex Systems with Switching Elements

  • Kim, Deok Young;Meliiopoulos, A.P.Sakis
    • KIEE International Transactions on Power Engineering
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    • v.4A no.2
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    • pp.79-83
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    • 2004
  • A new small signal stability analysis method for eigenvalue analysis is presented. This method utilizes the Resistive Companion Form (RCF) for the computation of the transition matrix over a specified time interval, which corresponds to a single cycle operation of the system. This method is applicable to any system, with or without switching element. An illustrative example of the method is presented and the eigenvalues are compared with those of the conventional state space method (analog) in order to demonstrate the accuracy of the proposed eigenvalue analysis method. Also, the variations of oscillation modes that are caused by the switching operation can be precisely analyzed using this method.

Implementation of Digital Signal Processing Board Suitable for a Semi-active Laser Tracking to Detect a Laser Pulse Repetition Frequency and Optimization of a Target Coordinates (반능동형 레이저 유도 추적에 적합한 레이저 펄스 반복 주파수 검출을 위한 디지털 신호처리 보드 구현 및 표적 좌표 최적화)

  • Lee, Young-Ju;Kim, Yong-Pyung
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.64 no.4
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    • pp.573-577
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    • 2015
  • In this paper, we propose a signal processing board suitable for a semi-active laser tracking to detect an optical signal generated from the laser target designator by applying an analog trigger signal, the quadrant photodetector and a high speed ADC(analog-digital converter) sampling technique. We improved the stability by applying the averaging method to minimize the measurement error of a gaussian pulse. To evaluate the performances of the proposed methods, we implemented a prototype board and performed experiments. As a result, we implemented a frequency counter with an error 14.9ns in 50ms. PRF error code has a stability of less than 1.5% compared to the NATO standard. Applying the three point averaging method to ADC sampling, the stability of 28% in X-axis and 22% in Y-axis than one point sampling was improved.

Contingency Analysis for Small Signal Stability of Power Systems (전력계통의 미소신호안정도 상정사고 해석)

  • 심관식;김용구;문채주
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.17 no.3
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    • pp.127-137
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    • 2003
  • Contingency analysis is one of the most important tasks encountered by planning and operation of lafe scale power systems. This paper describes a new contingency analysis methods for small signal security assessment based on the eigen-sensitivity/perturbation of the electromechanical oscillation modes. The eigen-sensitivity/perturbation with respect to line suceptances and controller parameters can he used to find possible sources of the system instability, and to select contingency for small signal stability. Also, the contingency selection to identify critical generators for MW changes can be obtained by computing the relative movement of the system oscillation modes. The proposed algorithm has been successfully tested on the KEPCO systems which is comprised of 791-bus, 1575-branch and program PSS/E