• Title/Summary/Keyword: Unit step function

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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.

A Analysis of Phase and Time Domain Characteristics of Elliptic Filters (타원필터의 위상 및 시간영역 특성 분석)

  • Lee, Chong In;Kim, Dong Yong;Shin, Gun Soon
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.23 no.4
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    • pp.571-577
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    • 1986
  • In this paper, we have investigated pole-zero shifting due to variable stopband frequency Ws and passband ripple Ap of elliptic function filters. Also we have studied the phase, group-delay, unit step response and impulse response of elliptic filters. We show that in the passband the phase linearity improves as Ws increases, and eventually it approaches that of a chebyshev function filter.

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Unit Root Test for Temporally Aggregated Autoregressive Process

  • Shin, Dong-Wan;Kim, Sung-Chul
    • Journal of the Korean Statistical Society
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    • v.22 no.2
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    • pp.271-282
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    • 1993
  • Unit root test for temporally aggregated first order autoregressive process is considered. The temporal aggregate of fist order autoregression is an autoregressive moving average of order (1,1) with moving average parameter being function of the autoregressive parameter. One-step Gauss-Newton estimators are proposed and are shown to have the same limiting distribution as the ordinary least squares estimator for unit root when complete observations are available. A Monte-Carlo simulation shows that the temporal aggregation have no effect on the size. The power of the suggested test are nearly the same as the powers of the test based on complete observations.

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Predicting the core thermal hydraulic parameters with a gated recurrent unit model based on the soft attention mechanism

  • Anni Zhang;Siqi Chun;Zhoukai Cheng;Pengcheng Zhao
    • Nuclear Engineering and Technology
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    • v.56 no.6
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    • pp.2343-2351
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    • 2024
  • Accurately predicting the thermal hydraulic parameters of a transient reactor core under different working conditions is the first step toward reactor safety. Mass flow rate and temperature are important parameters of core thermal hydraulics, which have often been modeled as time series prediction problems. This study aims to achieve accurate and continuous prediction of core thermal hydraulic parameters under instantaneous conditions, as well as test the feasibility of a newly constructed gated recurrent unit (GRU) model based on the soft attention mechanism for core parameter predictions. Herein, the China Experimental Fast Reactor (CEFR) is used as the research object, and CEFR 1/2 core was taken as subject to carry out continuous predictive analysis of thermal parameters under transient conditions., while the subchannel analysis code named SUBCHANFLOW is used to generate the time series of core thermal-hydraulic parameters. The GRU model is used to predict the mass flow and temperature time series of the core. The results show that compared to the adaptive radial basis function neural network, the GRU network model produces better prediction results. The average relative error for temperature is less than 0.5 % when the step size is 3, and the prediction effect is better within 15 s. The average relative error of mass flow rate is less than 5 % when the step size is 10, and the prediction effect is better in the subsequent 12 s. The GRU model not only shows a higher prediction accuracy, but also captures the trends of the dynamic time series, which is useful for maintaining reactor safety and preventing nuclear power plant accidents. Furthermore, it can provide long-term continuous predictions under transient reactor conditions, which is useful for engineering applications and improving reactor safety.

Optimal Design of MR Suspension Unit for Tracked Vehicle (궤도 차량용 MR 현수장치의 최적 설계)

  • Ha, Sung-Hoon;Kim, Hyung-Seob;Choi, Seung-Bok;Woo, Je-Kwan
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.21 no.6
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    • pp.499-505
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    • 2011
  • This paper presents optimal design of controllable magnetorheological suspension unit for a tracked vehicle. As a first step, a double-rod type MR suspension unit is designed on the basis of the Bingham model of commercially available MR fluid, and its damping characteristics are evaluated with respect to the intensity of the magnetic field. Subsequently, the governing equation of motion of the MR suspension system featuring the MR valve is established. Then, the optimization problem to find optimal geometric dimensions of the MR supension unit is formulated by considering an objective function which is related to damping torque and control energy. The first order optimization method intergrated with a commercial finite element method(FEM) software is adopted to obtain optimal solution of the system. The performance characteristics of the optimized MR susepnsion unit is then evaluated and compared with initial one.

SOME MORE COUNTEREXAMPLES FOR BOMBIERI'S CONJECTURE ON UNIVALENT FUNCTIONS

  • Efraimidis, Iason;Pastor, Carlos
    • Journal of the Korean Mathematical Society
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    • v.55 no.6
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    • pp.1485-1498
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    • 2018
  • We disprove a conjecture of Bombieri regarding univalent functions in the unit disk in some previously unknown cases. The key step in the argument is showing that the global minimum of the real function (n sin x - sin(nx))/(m sin x - sin(mx)) is attained at x = 0 for integers m > $n{\geq}2$ when m is odd and n is even, m is sufficiently big and $0.5{\leq}n/m{\leq}0.8194$.

VIBRATION OF A CIRCULAR PLATE WITH A CONCENTRATED MASS ATTACHED ON A RADIUS

  • Lee, Jang-Moo;Hong, Jin-Sun
    • Journal of Theoretical and Applied Mechanics
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    • v.1 no.1
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    • pp.89-96
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    • 1995
  • An analytical method is presented for predicting the effect of a local deviation in the form of a concentrated mass along a radial line on the free bending vibration characteristics of a nearly axisymmetric circular plate. The approach is based on the Rayleigh-Ritz method and the expression of local deviation of the concentrated radial mass as the variation of heaviside unit step function. The effects of the concentrated mass on the natural frequencies and mode shapes of the plate are predicted with a proposed nondimensional mass parameter.

Transient Response Analysis of the Trigonometric Distributed RC Circuit (삼각함수형 RC분포회로의 과도응답해석)

  • 김덕진
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.4 no.4
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    • pp.13-18
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    • 1967
  • Since all the poles of the open circuit voltage transfer function of the trigonometric, linear, passive RC circuits exist on the negative real axis of s-plane, its transient response to the unit step input is monotonic. This satisfies the necessary conditions for the applicability of Elmore's method which had been developed originally for the transient analysis of lumped circuit in computing the rise time and delay time of the trigonometric distributed RC circuits. This paper describes the computing method of rise and delay times of the trigonometric distributed RC circuit. The analysis shows that the transient response of this kind circuit depends only upon the time constant and distance angle $\theta$. As $\theta$ is increased, the rise and delay titles are increased non-linearly.

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A method for incompressible free surface flow including surface tension using CSF model (CSF 모델을 이용한 자유표면 유동 해석)

  • Hong I. C.;Baek J. H.
    • 한국전산유체공학회:학술대회논문집
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    • 2004.10a
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    • pp.15-18
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    • 2004
  • A numerical method for simulating two-phase flows including surface force is presented. The method is based on fractional step method of finite volume formulation and the interface is tracked with PLIC VOF method. In the CSF model, as color function, f, representing the location of interface varies steeply in the interface region, we need to use smoothed function f to get accurate unit normal and the curvature. Peskin kernel is used to get smoothed function f. A spherical drop in static equilibrium and three-dimensional merging of gas bubble are tested, resulting in the validation of this method

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Direct Search Methods for Nonlinear Optimization Problem used ART Theory

  • Son, Jun-Hyeok;Seo, Bo-Hyeok
    • Proceedings of the KIEE Conference
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    • 2006.07d
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    • pp.1830-1831
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    • 2006
  • In this paper, the search is conducted along each of the coordinate directions for finding the minimum. If $e_i$ is the unit vector along the coordinate direction i, we determine the value a, minimizing f(a)= $f(x+ae_i)$, where a is a real number. A move is made to the new point $x+a_ie_i$ at the end of the search along the direction i. In an n dimensional problem, we define the search along all the directions as one stage. The function value at the end of the stage is compared to the value at the beginning of the stage in establishing the convergence. The gradient appears to be zero at point. We can safeguard this by introducing an acceleration step of one additional step along the pattern direction developed by moves along the coordinate directions.

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