• Title/Summary/Keyword: singular

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Development of Algorithm to Detect Load Shedding Using Wavelet Singular Value Decomposition (Wavelet Singular Value Decomposition을 이용한 부하 탈락 검출 알고리즘 개발)

  • Han, Jun;Kim, Won-Ki;Lee, Jae-Won;Kim, Chul-Hwan
    • Proceedings of the KIEE Conference
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    • 2011.07a
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    • pp.244-245
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    • 2011
  • In this paper, the algorithm for detecting load shedding based on Wavelet Singular Value Decomposition(WSVD) is proposed. WSVD is method of signal processing which combine Wavelet Transform(WT) and Singular Value Decomposition(SVD) to analyze transients in power system. 345kV Busan transmission system is modeled by EMTP-RV and simulations according to successive change of load capability are conducted. This paper analyzes characteristics of WSVD by using simulation results and proposes algorithm for detecting load shedding.

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Robust Dissipative Filtering for Polytopic Uncertain Singular Systems in Continuous & Discrete Time (연속과 이산시간 폴리토픽 불확실성을 가지는 특이시스템의 산일성 필터링)

  • Chan, Danny;Kim, Jong-Hae;Oh, Do-Chang
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.63 no.7
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    • pp.994-1000
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    • 2014
  • This paper considers the problem of continuous and discrete time dissipative filter design method for the singular systems with polytopic uncertainties. Two bounded real lemmas (BRL) for the robust filters of dissipative singular systems along with the polytopic uncertainties are proposed on the basis of Lyapunov criterion. The sufficient conditions for both continuous and discrete time dissipative filter design methods are derived using the obtained BRL by linear matrix inequality (LMI) approach. Finally, the validities of the proposed methods are shown by numerical examples.

A FIFTH ORDER NUMERICAL METHOD FOR SINGULAR PERTURBATION PROBLEMS

  • Chakravarthy, P. Pramod;Phaneendra, K.;Reddy, Y.N.
    • Journal of applied mathematics & informatics
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    • v.26 no.3_4
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    • pp.689-706
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    • 2008
  • In this paper, a fifth order numerical method is presented for solving singularly perturbed two point boundary value problems with a boundary layer at one end point. The two point boundary value problem is transformed into general first order ordinary differential equation system. A discrete approximation of a fifth order compact difference scheme is presented for the first order system. An asymptotically equivalent first order equation of the original singularly perturbed two point boundary value problem is obtained from the theory of singular perturbations. It is used in the fifth order compact difference scheme to get a two term recurrence relation and is solved. Several linear and non-linear singular perturbation problems have been solved and the numerical results are presented to support the theory. It is observed that the present method approximates the exact solution very well.

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A Singular Perturbation-Like Approach to EDFA Gain Control Based on Observer Techniques

  • Song, Seong-Ho;Chang, Dong Eui;Lee, Kwang Y.;Kim, Ho-Chan
    • Journal of Electrical Engineering and Technology
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    • v.10 no.4
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    • pp.1864-1876
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    • 2015
  • In this paper, we propose a singular perturbation-like approach to EDFA gain controller design and analysis. Considering a three-level model of EDFA, a gain controller containing a state observer and a channel add/drop estimator is designed based on a singular perturbation - like concept. The proposed design methodology is shown to be effective and advantageous not only in theoretically verifying the asymptotic stability of systems with multi-time scales such as EDFA but also in designing an asymptotic estimator for channel add/drops which does not satisfy the matching condition.

Determination of the Number of Multiple Sinusoids by a Singular Value Approach (특이값 접근방법에 의한 다단 정현파 수의 결정에 관한 연구)

  • 안태천;류창선;이상재
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.39 no.8
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    • pp.868-874
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    • 1990
  • A singular value approach is presented in order to determine the number of multiple sinusoids from the finite noisy data. Simulations are conducted for Akaike's information criterion (AIC), Rissanen's shortest data description (MDL) and a singular value approach, for various examples with different SNR's and methods of estimating frequencies. And then the performances are compared. Simulation results that the singular value approach is superior to AIC and MDL for FBLP, HOYW and covariance matrix based methods are investigated. The approach with contribute to the frequency estimation of multiple sinusoids from the finite noisy data. Furthermore, this will be applied to the DSPs of communication and bio-medical engineering.

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Simplified Nonlinear Control for Planar Motor based on Singular Perturbation Theory (특이섭동이론을 기반으로한 평판모터의 비선형 제어)

  • Seo, HyungDuk;Shin, Donghoon;Lee, Youngwoo;Chung, Chung Choo
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.64 no.2
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    • pp.289-296
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    • 2015
  • In this paper, we propose the nonlinear control based on singular perturbation theory for position tracking and yaw regulation of planar motor. Singular perturbation theory is characterized by the existence of slow and fast transients in the system dynamics. The proposed method consists of auxiliary control to decouple error dynamics. We develop model reduction with control input. Also, we derIve decoupled error dynamics with auxiliary input. The controller is designed in order to guarantee the desired position and yaw regulation without current feedback or estimation. Simulation results validate the effect of proposed method.

Rational Approximation of Multiple Input Delay Systems Using the Hankel Singular Values Vectors (한켈특이치와 특이벡터를 이용한 복수 입력 시간지연 시스템의 유리근사화)

  • 황이철
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.04a
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    • pp.299-304
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    • 1996
  • This paper studies the rational approximation of multiple input delay systems using the Hankel singular values and vectors, which are the soultion of a transcendental equation. Rational approximatants are obtained from output normal realizations which are constructed by the Hankel singular values and vectors. Consequently, it is shown that rational approximants by output normal realization preserve intrinsic properties of time delay systems than Pade approximants.

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Singular Stress Field Analysis and Strength Evaluation in Ceramic/Metal Joints (세라믹/금속접합제의 응력특이장 해석 및 강도평가)

  • 박영철;한근조;허선철;강재욱
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.04a
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    • pp.470-474
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    • 1997
  • Since the ceramic/metal joints is joined at high temperature, the residual stress will develop during when cooled from bonding temperature due to remarkable difference of thermal expansion coefficient between creamic and metal. Moreover, the edge of jointed interface makes singular stress field in the ceramic/metal joints and this singular stress field much influences on the strength of joints. In this study, The influence of residual stress, mechanical load and repeat thermal sysle was estimated in the ceramic/metal joints. According to this influence, the change of singular stress field was analyed and then strength test, X-ray measurement are performed.

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SINGULAR PERIODIC SOLUTIONS OF A CLASS OF ELASTODYNAMICS EQUATIONS

  • Yuan, Xuegang;Zhang, Yabo
    • Journal of applied mathematics & informatics
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    • v.27 no.3_4
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    • pp.501-515
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    • 2009
  • A second order nonlinear ordinary differential equation is obtained by solving the initial-boundary value problem of a class of elas-todynamics equations, which models the radially symmetric motion of a incompressible hyper-elastic solid sphere under a suddenly applied surface tensile load. Some new conclusions are presented. All existence conditions of nonzero solutions of the ordinary differential equation, which describes cavity formation and motion in the interior of the sphere, are presented. It is proved that the differential equation has singular periodic solutions only when the surface tensile load exceeds a critical value, in this case, a cavity would form in the interior of the sphere and the motion of the cavity with time would present a class of singular periodic oscillations, otherwise, the sphere remains a solid one. To better understand the results obtained in this paper, the modified Varga material is considered simultaneously as an example, and numerical simulations are given.

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Contact Singular Stress with Relief Notch by Using Dynamic Photoelasticity (동적광탄성 실험에 의한 응력이완 노치부근에서의 접촉특이응력해석)

  • 이억섭;황시원;나경찬
    • Transactions of the Korean Society of Automotive Engineers
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    • v.4 no.1
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    • pp.55-62
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    • 1996
  • The dynamic photoelastic technique has been utilized to investigate the possibility of relieving the large local singular stresses which are induce in the corner of a right angled indenter. The indenter compresses a semi-infinite body dynamically with an impact load applied on the top of the indenter. The effect of geometric changes to the indenter in terms of the diameter (d) and the location (ℓ) of the notch on the relieving of the dynamic contact stresses are investigated. A multi-spark-high speed camera with twelve sparks was used to take dynamic photographs. The contact singular stresses were found to be released by introducing the relief notch along the indenter. The optimal location and geometry of the relief notch need further experimental investigation.

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