• Title/Summary/Keyword: 평균 모멘트

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Re-Analysis of Clark Model Based on Drainage Structure of Basin (배수구조를 기반으로 한 Clark 모형의 재해석)

  • Park, Sang Hyun;Kim, Joo Cheol;Jeong, Dong Kug;Jung, Kwan Sue
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.33 no.6
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    • pp.2255-2265
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    • 2013
  • This study presents the width function-based Clark model. To this end, rescaled width function with distinction between hillslope and channel velocity is used as time-area curve and then it is routed through linear storage within the framework of not finite difference scheme used in original Clark model but analytical expression of linear storage routing. There are three parameters focused in this study: storage coefficient, hillslope velocity and channel velocity. SCE-UA, one of the popular global optimization methods, is applied to estimate them. The shapes of resulting IUHs from this study are evaluated in terms of the three statistical moments of hydrologic response functions: mean, variance and the third moment about the center of IUH. The correlation coefficients to the three statistical moments simulated in this study against these of observed hydrographs were estimated at 0.995 for the mean, 0.993 for the variance and 0.983 for the third moment about the center of IUH. The shape of resulting IUHs from this study give rise to satisfactory simulation results in terms of the mean and variance. But the third moment about the center of IUH tend to be overestimated. Clark model proposed in this study is superior to the one only taking into account mean and variance of IUH with respect to skewness, peak discharge and peak time of runoff hydrograph. From this result it is confirmed that the method suggested in this study is useful tool to reflect the heterogeneity of drainage path and hydrodynamic parameters. The variation of statistical moments of IUH are mainly influenced by storage coefficient and in turn the effect of channel velocity is greater than the one of hillslope velocity. Therefore storage coefficient and channel velocity are the crucial factors in shaping the form of IUH and should be considered carefully to apply Clark model proposed in this study.

Development of Simulation Method of Doppler Power Spectrum and Raw Time Series Signal Using Average Moments of Radar Wind Profiler (윈드프로파일러의 평균모멘트 값을 이용한 도플러 파워 스펙트럼 및 시계열 원시신호 시뮬레이션기법 개발)

  • Lee, Sang-Yun;Lee, Gyu-Won
    • The Journal of the Korea institute of electronic communication sciences
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    • v.15 no.6
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    • pp.1037-1044
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    • 2020
  • Since radar wind profiler (RWP) provides wind field data with high time and space resolution in all weather conditions, their verification of the accuracy and quality is essential. The simultaneous wind measurement from rawinsonde is commonly used to evaluate wind vectors from RWP. In this study, the simulation algorithm which produces the spectrum and raw time series (I/Q) data from the average values of moments is presented as a step-by-step verification method for the signal processing algorithm. The possibility of the simulation algorithm was also confirmed through comparison with the raw data of LAP-3000. The Doppler power spectrum was generated by assuming the density function of the skew-normal distribution and by using the moment values as the parameter. The simulated spectrum was generated through random numbers. In addition, the coherent averaged I/Q data was generated by random phase and inverse discrete Fourier transform, and raw I/Q data was generated through the Dirichlet distribution.

Modulation classification for BPSK and QPSK signals over rayleigh fading channel (Payleigh 페이딩 채널에서 BPSK와 QPSK 신호의 변조 분류)

  • 윤동원;한영열
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.21 no.4
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    • pp.1019-1026
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    • 1996
  • A modulation type classifier based on statistical moments has been successfully employed to classify PSK signals. Previously, developed Classifiers were analyzed in AWGN channel only. In this paper, a moments-based modulation type classifier to classify BPSK and QPSK signals over Rayleigh fading channel is proposed and analyzed. The moments of received signal are evaluated with the exact distribution of the received signal and a moments-based classifier is proposed. The performance evaluation of the proposed classifier in terms of the misclassification probability for BPSK and QPSK is investigated under Rayleigh fading environment.

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Effective Moment of Inertia of Flexural Members Based on the Concrete Stress-Strain Curve in EC-2 (EC-2의 콘크리트 응력-변형률 곡선에 기반한 휨부재의 유효단면2차모멘트)

  • Yum, Hwan-Seok;Kim, Woo
    • Journal of the Korea Concrete Institute
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    • v.28 no.6
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    • pp.655-663
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    • 2016
  • The present study shows the moment-average curvature relationship and effective inertia moment of RC beams obtained from the nonlinear analysis based on the parabola-rectangular stress-strain curve defined in EC-2 code. The variables examined are concrete strength and steel ratio, and moment-average curvature relationship and effective inertia moment obtained are compared with those of the current KCI provisions. As the results of the comparison, the followings could be said: Since the KCI provisions(the Branson method) were originally derived based on the experimental data ranged from 2.2 to 4 of $M/M_{cr}$ and 1.3 to 3.5 of $I_{ut}/I_{cr}$, thereby within these ranges the inertia moments obtained from the nonlinear analysis are closely agreed with those predicted by the Branson method. However, beyond those range the remarkable difference could be found between the two results. In particular, for beams having low steel ratio the inertia moment resulted from the nonlinear analysis are significantly smaller than those obtained from the KCI(Branson) method. This result may imply that the deflection of lightly reinforced members, such as slabs in buildings, becomes much larger than those calculated according to the current design provisions.

Review of Parameter Estimation Procedure of Freund Bivariate Exponential Distribution (Freund 이변량 지수분포의 매개변수 추정과정 검토)

  • Park, Cheol-Soon;Yoo, Chul-Sang
    • Journal of Korea Water Resources Association
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    • v.45 no.2
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    • pp.191-201
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    • 2012
  • This study reviewed the parameter estimation procedure of the Freund bivariate exponential distribution for the decision of the annual maximum rainfall event. The method of moments was reviewed first, whose results were compared with those from the method of maximum likelihood. Both methods were applied to the hourly rainfall data of the Seoul rain gauge station measured from 1961 to 2010 to select the annual maximum rainfall events, which were also compared each other. The results derived are as follows. First, when applying the method of moments for the parameter estimation, it was found necessary to consider the correlation coefficient between the two variables as well as the mean and variance. Second, the method of maximum likelihood was better to reproduce the mean, but the method of moments was better to reproduce the annual variation of the variance. Third, The annual maximum rainfall events derived were very similar in both cases. Among differently selected annual maximum rainfall events, those with the higher rainfall amount were selected by the method of maximum likelihood, but those with the higher rainfall intensity by the method of moments.

A Study on the Response Modification Factor for a 5-Story Reinforced Concrete IMRF (5층 철근콘크리트 중간모멘트골조의 반응수정계수에 관한 연구)

  • Kang, Suk-Bong;Lim, Byeong-Jin
    • Journal of the Earthquake Engineering Society of Korea
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    • v.16 no.5
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    • pp.13-21
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    • 2012
  • In this study, the response modification factor for a RC IMRF is evaluated via pushover analysis, where 5-story structures were designed in accordance with KBC2009. The bending moment-curvature relationship for beams and columns was identified with a fiber model, and the bending moment-rotation relationship for beam-column joints was calculated using a simple and unified joint shear behavior model and the moment equilibrium relationship for the joint. The results of the pushover analysis showed that the strength of the structure was overestimated with negligence of the inelastic shear behavior of the beam-column joint, and that the average response modification factor for category C was 7.78 and the factor for category D was 3.64.

Numerical Analysis for Advection Equation Based on the Method of Moments (모멘트법에 의한 이송방정식의 수치해석)

  • Baek, Jung-Cheol;Jo, Won-Cheol;Heo, Jun-Haeng
    • Journal of Korea Water Resources Association
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    • v.32 no.2
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    • pp.99-110
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    • 1999
  • The method of moments, a Lagrangian scheme, considers the zeroth, first, and second moments of the grid cell spatial distributions of the concentration and then advects the concentration by maintaining conservation of the moments. The reasonable inital description of the first and second moments as well as the mean concentration, the zeroth moments, in grid element is important in the method of moments. In this study, the description methods of each initial moment are reviewed, and the method of moments is extended to overcome the restrictions of Courant number. Its performance is compared with those of available Eulerian and Lagrangian schemes. As the results, the method is successfully extended to overcome the stability restriction and is an accurate scheme for the advection simulation of concentration distribution, especially of which the gradient is steep. In addition, the method is very promising scheme in terms of computational efficiency when the mixing is confined in a relatively small region to the entire domain in two-dimensional problem.

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Evaluation of Characteristics of Simulated Extreme Rainfall Obtained from NSRP model under Different Object Functions (목적함수에 따른 다지점 NSRP 모형의 극치강우 재현능력 평가)

  • Cho, Hemie;Yu, Jae-Ung;Moon, Jangwon;Kwon, Hyun-Han
    • Proceedings of the Korea Water Resources Association Conference
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    • 2021.06a
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    • pp.363-363
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    • 2021
  • 수자원설계 및 계획 시 제한된 강우자료로 인해 나타나는 한계를 개선하기 위한 목적으로 추계학적 강수모의 모형을 활용한다. 대표적인 추계학적 강수모형으로 Bartlett-Lewis Rectangular Pulse Modified Model(BLPRM)과 Neyman-Scott Rectangular Pulse Model(NSRPM) 등이 활용되고 있으며, 관측강수량의 통계적 모멘트를 재현할 수 있도록 모형 매개변수를 최적화하는 과정이 필수적으로 요구된다. 기본적으로 모형 매개변수들의 조합을 통해 추정되는 통계적 모멘트와 관측값의 통계적 모멘트를 반복적으로 비교하면서 최적 매개변수를 추정하게 된다. 그러나 상대적으로 적은 관측값을 이용하여 매개변수를 추정하기 때문에, 매개변수 추정이 어려울 뿐만 아니라 매개변수의 불확실성도 큰 특징을 가지고 있다. 모형 매개변수 추정과정에서 다양한 목적함수가 활용되고 있으나, 고려되는 통계적 모멘트가 평균 및 분산 등 2차 모멘트에 제한되고 있어 극치강수량에 대한 재현성은 상대적으로 부족한 부분이 있다. 본 연구에서는 3차 모멘트를 포함한 목적함수를 활용하여 NSRP모형 매개변수를 추정하고, 기존 2차 모멘트를 이용한 매개변수 접근방법과 극치강수량 재현 측면에서 비교를 수행하였다. 최종적으로 유역 단위에서 극치강수량 재현효과를 평가하기 위해서는 면적강수량 추정이 매우 중요하며, 본 연구에서는 이러한 점을 감안하여 강우 지점 간의 상관성을 유지하면서 강우모의가 가능한 다지점 NSRP 모형과 연계하여 극치강우 재현 가능성을 평가하였다.

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Electronic and Magnetic Properties of Rare-earth Permanent Magnet : $Nd_2Fe_{14}B$ ($Nd_2Fe_{14}B$ 희토류의 영구자석의 전자기적 물성연구)

  • Min, Byeong-Il;Jeong, Yun-Hui;Yang, Chung-Jin
    • Journal of the Korean Magnetics Society
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    • v.2 no.3
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    • pp.193-199
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    • 1992
  • 희토류 영구자석, $Nd_2Fe_{14}B$ 화합물에 대한 자체충족적 국재밀도함수근사 전자 구조 계산을 수행하여 이 물질의 전자기적 물성을 연구하였다. LMTO(Linearized Muffin-Tin Orbital)에너지 띠 방법을 사용하여 상자성, 강자성상에서 구한 $Nd_2Fe_{14}B$ 화합물의 에너지 띠구조를 토대로 하여 자성을 포함한 제반 물성, 즉 희토류금속과 천이금속의 결합(bonding)효과, 전기적, 자기적 구조등을 고찰하였다. Boron 원자의 역학은 근접 Fe 원자와의 혼합 상호작용을 통하여 Fe의 원자의 자기모멘트를 많이 줄이는 효과를 주며 또한 구조 안정성에 기여한다는 결과를 얻었다. 강자성상에서의 Fe 원자들의 평균 자기모멘트는 약 2.15 ${\mu}B$로 계산되었는데 이중 Boron 원자로 부터 가장 멀리 떨어져 있으며 12개의 Fe 원자들로 둘러싸인 Fe(j2-site)원자가 가장 큰 값(2.7 ${\mu}B$)의 자기모멘트를 갖고 Boron 원자와의 혼합 상호작용이 가장 큰 Fe(e-site)원자가 가장 작은 값(1.9 ${\mu}B$)의 자기모멘트를 갖는다.

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A Development of Rainfall Simulation Model Using Piecewise Generalize Pareto Distribution (불연속 Pareto 분포를 활용한 강수 모의발생 모델 개발)

  • Kwon, Hyun-Han;So, Byung-Jin;Kim, Tae-Woong
    • Proceedings of the Korea Water Resources Association Conference
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    • 2011.05a
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    • pp.88-88
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    • 2011
  • 수자원에서 일강수량 모의기법은 다양한 목적으로 활용되고 있으며 기본적으로 수공구조물 설계 및 수자원계획을 수립하기 위한 입력 자료로서 이용된다. 수자원계획은 장기적인 목적을 가지고 수행되는 것이 일반적이며 우리가 목표로 하는 장기간의 일강수량자료의 획득이 어렵기 때문에 단기간의 일강수량자료를 장기 모의하여 이용하게 된다. 일강수량을 모의하는데 있어서 강수계열의 단기간의 기억(memory)을 활용한 Markov Chain 모형이 가장 일반적이며, 기존 Markov Chain 모형을 통한 일강수량 모의에서 발생하는 가장 큰 문제점은 극치강수량을 재현하기 어렵다는 점이다. 이러한 문제점으로 인해 수자원 계획을 수립하는데 있어서 불확실성을 가중시키고 있다. 특히 일강수량 모의기법을 통해서 추정되는 빈도강수량의 과소추정으로 인해 수공구조물 설계 시에 신뢰성을 확보하는 데 문제점이 있다. 이러한 점에서 본 연구에서는 기존 Markov Chain 모형에서 일강수량에 평균적인 특성과 극치특성을 동시에 재현할 수 있도록 불연속 Kernel-Pareto Distribution 기반에 일강수량모의기법을 개발하였다. 한강유역의 3개 강수지점에 대해서 기존 Markov Chain 모형과 본 연구에서 제안한 방법을 적용한 결과 여름의 일강수량 모의 시 1차모멘트인 평균과 2-3차 모멘트 모두 효과적으로 재현하지 못하는 문제점이 나타났다. 그러나 본 연구에서 제안한 불연속 Kernel-Pareto 분포형 기반 Markov Chain 모형은 여름의 일강수량 모의 시 강수계열의 평균적인 특성뿐만 아니라 표준편차 및 왜곡도의 경우에도 관측치의 통계특성을 매우 효과적으로 재현하는 것으로 나타났다. 본 연구에서 제시한 방법론은 전체적으로 기존 Markov Chain 모형에 비해 극치강수량을 재현하는데 유리한 기법으로 판단되며, 또한 극치강수량을 일반강수량으로부터 분리하여 모의함으로서 평균 및 중간값 등 낮은 차수에 모멘트 등 일강수량에 전체적인 분포특성을 더욱 효과적으로 모의할 수 장점을 확인하였다.

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