• Title/Summary/Keyword: 단위 계단 함수

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Understanding for Classical Control System by Analysis of Program-based Time Response (프로그램 기반의 시간응답 해석에 의한 고전제어 시스템 이해)

  • Min, Yong-Ki;Wi, Young-Min
    • The Journal of the Korea institute of electronic communication sciences
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    • v.11 no.9
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    • pp.893-900
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    • 2016
  • Output response for prototype system is analyzed according to the pole locations and the damping ratio changes. The system modeling is constructed for RLC-circuit and the output response is analyzed for both a unit-step and a sinusoidal input. The survey is conducted to estimate the understanding ability on the automatic control. A high understanding ability is shown up in analysing the transfer functions of control system. And improvement is manifest in the ability to understand the output response according to the parameter changes. But some difficulty is revealed in acquiring the output responses in time domain.

Comparative Study on Classical Control and Modern Control via Analysis of Circuit-based Time Response (회로망 기반의 시간응답 해석에 따른 고전제어와 현대제어의 비교 연구)

  • Min, Yong-Ki
    • The Journal of the Korea institute of electronic communication sciences
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    • v.12 no.4
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    • pp.575-584
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    • 2017
  • It is suggested the circuit network to analyze the time response of control system. And it is analyzed the interrelation for classical control and modern control by the transfer function and the state equation. Without complicated integration of state transition equation, it is suggested to possible time response by combining the state transition matrix and the transfer function. A source program is coded to display the time response according to the unit-step and the sinusoidal input. Transient response is analyzed in the unit-step input and phase difference between current and voltage is analyzed in sinusoidal input. As writing the suggested contents in transient response or state-space analysis, it is improved the understanding for control engineering and ability for system design.

The Time-Domain characteristics of Elliptic Filter Functions (Elliptic 필터 함수의 시간영역측성에 대한 고찰)

  • 한병성;김형갑
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.20 no.5
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    • pp.37-42
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    • 1983
  • The elliptic functions have transmission zeros on the imaginary axis and exhibit equal ripples in the stopband as well as in the passband. As a consequence they can be made optimal in the sense that the transition band is minimal. However the time domain behaviors turned out to be inferior to those of Chebyshev and Butterworth responses. This paper investigates the unit step responses and impulse responses in order to analyze the effects of various parameters such as passband attenuation, stopband frequencies M. etc., The following are the prominent features. Step responses of elliptic filters rise faster and produce larger overshoots and undershoots with higher natural frequencies. In the case of even functions, the initial values are non-zero which decreases as $\omega$s increases. Unlike Butter-worth or Chebyshev cases the impulse responses start with nonzero valses which also decrease as $\omega$s or order of the function increases. Eight figures are included to illustrate above analysis.

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A Tangential Cutting Algorithm using Simulated Annealing (시뮬레이티드 어니얼링을 이용한 경사선분 추출 알고리즘의 개발)

  • 천인국;김승우;방재철;이효진
    • Proceedings of the Korea Multimedia Society Conference
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    • 2002.05d
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    • pp.574-578
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    • 2002
  • 층 단위로 가공하는 RP(Rapid Prototype) 시스템에서 가공되는 물체의 표면에서는 계단형의 윤곽이 나타난다. 이러한 문제점을 보완하기 위해 경사절단 방법으로 3D 모델을 가공하여 기존의 가공방법에 의해 발생하는 계단형 윤곽 모습과 표면 왜곡 둥의 문제를 보완할 수 있다. 최적의 경사선분의 집합을 구하기 위해 경사절단 선분의 길이와 중간층 점의 거리를 정의하여 이를 최소화하는 에너지 함수를 구현한다. 그러나 이 방법은 경사절단 선분이 에너지가 작아지는 방향으로만 움직이기 때문에 레이어의 윤곽이 복잡한 경우 최적의 위치가 아닌 다른 위치에서 더 이상 움직이지 않는 국부적 최적해(Local Minima)가 발생할 수 있다. 본 논문에서는 국부적 최적해를 벗어나기 위해 경사절단 선분 추출 알고리즘에 시뮬레이티드 어니얼링(Simulated Annealing) 방법을 적용하였다. 제안된 방법으로 테스트한 결과 복잡한 레이어 윤곽에서 생길 수 있는 국부적 최적해가 어느 정도 해결되었다.

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Optimal Capacitor Placement and Operation for Loss Minimzation and Improvement of Voltage Profile in Distribution System (배전계통의 손실감소 및 전압 보상을 위한 커패시터 최적 배치 및 운용)

  • 송현선
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.13 no.3
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    • pp.48-55
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    • 1999
  • Ths paper presents an optimization method which determines locations and size of capacitors simultaneously while minimizing power losses and improving voltage profile in radial distribution systems. Especially, the cost function associated with capacitor pla.cerrent is considered as step function due to banks of standard discrete capacities. Genetic algorithms(GA) are used to obtain efficiently the solution of the cost function associated with capacitors which is non-continuous and non-differentiable function. The strings in GA consist of the node nwnber index and size of capacitors to be installed. The length mutation operator, which is able to change the length of strings in each generation, is used. The proposed Jrethod which determines locations and size of capacitors simultaneously can reduce power losses and improve voltage proftle with capacitors of minimum size. Its efficiency is proved through the arolication in radial distribution systems.ystems.

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A Study on the Pole-Q Reduction of Chebyshev Function Using Trade-off (트레이드 오프를 이용한 Chebyshev 함수의 극점-Q 감소에 관한 연구)

  • 윤창훈;최석우
    • The Journal of the Acoustical Society of Korea
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    • v.19 no.5
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    • pp.79-83
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    • 2000
  • When passband ripple α/sub p/ and stopband attenuation α/sub s/ at the w/sub s/ where the stopband begins are specified in filter design, △α/sub s/ usually exceeds the specification by △α/sub s/ due to the necessity that the order n of the filter function be an integer. In this paper, we apply a trade-off method to remove the excess stopband attenuation △α/sub s/ for reducing the value of pole-Q and improving the characteristics of the Chebyshev filter function. We also apply the trade-off method of pole-Q reduction to the modified Chebyshev function, and then the 4 types of function have been analyzed to compare in frequency and time domain characteristics. The trade-off method reduces the pole-Q which influences the filter characteristics to maximum 49.6% without increase of the order n. Thus implies that they have the improved characteristics such as the reduced passband ripple and flatter delay characteristics as compared Chebyshev filter function before trade-off. And the unit step response shows shorter delay time and settling time in time domain performance.

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Out-of focus blur estimation using variable-sized blocks and basis images (가변블록과 기저영상을 사용한 초점불완전 열화시스템 추정기법)

  • 조충남;박상래;백준기
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 1998.06a
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    • pp.81-85
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    • 1998
  • 점확산 함수(point spread function; PSF)의 정확한 추정은 복원결과가 원 영상에 얼마나 근접할 수 있는가를 결정한다는 점에서 영상처리의 중요한 연구 주제중의 하나가 된다. 본 논문에서는 PSF를 추정하기 위한 알고리즘을 제안하고, 이를 영상복원에 적용한 후 이를 기반으로 디지털 자동초점시스템을 제안한다. 초점불안전 열화시스템을 구현하기 위한 과정은 두 단계로 구성되어 있는데, 즉 입력 영상에서 에지분류를 통한 PSF 추정과, 이를 이용한 영상복원이다. 보다 구체적으로, 입력 영상에 특정 에지가 있는 임의의 크기의 블록을 선정해부면, 그 블록으로부터 자동으로 에지방향이 기저영상을 이용해서 구해지며 확산원의 크기를 추정하여 1차원 단위 계단응답과 영역을 구하여 평균한 후, 2차원 등방성 PSF를 추정한다. 마지막으로 추정된 PSF를 사용하여 복원을 수행함으로써 초점이 맞는 영상을 구한다.

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A Meshless Method Using the Local Partition of Unity for Modeling of Cohesive Cracks (점성균열 모델을 위한 국부단위분할이 적용된 무요소법)

  • Zi, Goangseup;Jung, Jin-kyu;Kim, Byeong Min
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.5A
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    • pp.861-872
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    • 2006
  • The element free Galerkin method is extended by the local partition of unity method to model the cohesive cracks in two dimensional continuum. The shape function of a particle whose domain of influence is completely cut by a crack is enriched by the step enrichment function. If the domain of influence contains a crack tip inside, it is enriched by a branch enrichment function which does not have the LEFM stress singularity. The discrete equations are obtained directly from the standard Galerkin method since the enrichment is only for the displacement field, which satisfies the local partition of unity. Because only particles whose domains of influence are influenced by a crack are enriched, the system matrix is still sparse so that the increase of the computational cost is minimized. The condition for crack growth in dynamic problems is obtained from the material instability; when the acoustic tensor loses the positive definiteness, a cohesive crack is inserted to the point so as to change the continuum to a discontiuum. The crack speed is naturally obtained from the criterion. It is found that this method is more accurate and converges faster than the classical meshless methods which are based on the visibility concept. In this paper, several well-known static and dynamic problems were solved to verify the method.

A Digital Auto-Focusing Algorithm Using Point spread function Estimation Image Restoration (초점불완전 열화추정 및 영상복원기법을 사용한 자동초점시스템)

  • Kim, Sang-Ku;Park, Sang-Rae;Paik, Joon-Ki
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.36S no.2
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    • pp.57-62
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    • 1999
  • Estimation of the point spread function (PSF) is one of the main research topic of image processing, because it determines the performance of the auto-focusing system. In this paper, a new algorithm for PSF estimation is proposed, and its application to image restoration is also presented. The procedure for complete realization of the auto-focusing system consists of two steps: PSF estimation based on edge classification, and image restoration using the estimated PSF. More specifically, we divide imput image into multiple small image or block, estimate unit step response and average them on the blocks which contain edge, and estimate 2-dimensional isotropic PSF from the 1 dimensional step response. Finally we obtain in-focused image by using image restoration based on the estimated PSF.

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The Research On the Energy Storage System Using SuperCapacitor (슈퍼커패시터를 적용한 에너지 저장시스템 설계에 관한 연구)

  • Kim, IL-Song
    • Asia-pacific Journal of Multimedia Services Convergent with Art, Humanities, and Sociology
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    • v.8 no.11
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    • pp.215-222
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    • 2018
  • In this paper, the research on the energy storage system adapting super-capacitor has been performed. The most advanced features compared to the conventional lead-acid battery systems is that it can obtain high power capability due to the super capacitor power characteristics. The suggested system can attain high power in short times and achieve high power quality improvements. The application areas are power quality improvement system, motor start power which requires high power during transient times. The energy conversion system consists of bi-directional converter and inverter and advantages of high speed, high power charging and discharging performances. The design steps for the two loop controller of the bi-directional inverter are suggested and verified by the experiment and manufacturing. The two loop controller design starts from linearized transfer function which is calculated from the state averaging model including state decoupling method. The current controller requirements are 20% overshoot and settling time and voltage controller are no overshoot and settling time which is 10 times longer than current controller. The design is verified from the step input response. The designed controllers have unity power factor characteristics and thus can improve the power quality of the grid. It also has fast response time and zero steady state error.