• 제목/요약/키워드: Method of Moments

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PLF(Probabilistic Load Flow)를 이용한 모선 전압 안전도 평가 (Security Assessment for Bus Voltages Using Probabilistic Load Flow)

  • 이승혁;정창호;김진오;김태균;추진부
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2003년도 추계학술대회 논문집 전력기술부문
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    • pp.28-30
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    • 2003
  • Probabilistic Load Flow(PLF) solution based on the method of moments is used for security assessment of bus voltages in power systems. Bus voltages, line currents, line admittances, generated real and reactive power, and bus loads are treated as complex random variables. These complex random variables are known in terms of probability density functions(PDF). Also, expressions for the convolutions of complex random variables in terms of moments and cumulants have been derived. Proposed PLF solution using the method of moments is fast, because the process of convolution of various complex random variables is performed in moment and cumulant domain. Therefore, the method is applied to security assessment of power systems in this paper. Finally, system operator also can be used information of security assessment to improve reliability of power systems.

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Spherical Harmonics의 전개방법에 의한 간단한 분자의 쌍극자모멘트의 계산 (Calculation of the Dipole Moments for Simple Molecules by the Expansion Method for Spherical Harmonics)

  • 안상운;박병빈
    • 대한화학회지
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    • 제22권6호
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    • pp.357-364
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    • 1978
  • Spherical harmonics의 전개방법에 의하여 쌍극자모멘트의 행렬요소를 계산하는 방법을 사용하여 $NH_3$, HF, CO, HCHO, HCN, PO, $PO^-\;및\;H_2O$분자의 쌍극자모멘트를 계산하였다. 이 방법에 의하여 계산한 쌍극자모멘트의 값이 다른 방법의 값보다 실험치에 가까웠다.

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Flutter reliability analysis of suspension bridges based on multiplicative dimensional reduction method

  • Guo, Junfeng;Zheng, Shixiong;Zhang, Jin;Zhu, Jinbo;Zhang, Longqi
    • Wind and Structures
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    • 제27권3호
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    • pp.149-161
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    • 2018
  • A reliability analysis method is proposed in this paper based on the maximum entropy (MaxEnt) principle in which constraints are specified in terms of the fractional moments instead of integer moments. Then a multiplicative dimensional reduction method (M-DRM) is introduced to compute the fractional moments. The method is applicable for both explicit and implicit limit state functions of complex structures. After two examples illustrate the accuracy and efficiency of this method in comparison to the Monte Carlo simulation (MCS), the method is used to analyze the flutter reliability of suspension bridge. The results show that the empirical formula method in which the limit state function is explicitly represented as a function of variables is only a too conservative estimate for flutter reliability analysis but is not accurate adequately. So it is not suitable for reliability analysis of bridge flutter. The actual flutter reliability analysis should be conducted based on a finite element method in which limit state function is implicitly represented as a function of variables. The proposed M-DRM provide an alternate and efficient way to analyze a much more complicated flutter reliability of long span suspension bridge.

전자파 수치 해석을 위해 갤러킨 기법과 보간법을 혼용하여 개선시킨 모멘트법 (Improved Method of Moments Using Hybrid Technique of Galerkin's and Interpolation Methods for Numerical Analysis of Electromagnetic Waves)

  • 황지환;권순구;오이석
    • 한국전자파학회논문지
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    • 제23권4호
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    • pp.541-550
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    • 2012
  • 본 논문에서는 3차원 공간의 전자파 수치 해석을 위한 모멘트법(method of moments)의 개선된 해석 기법을 선보인다. 전자파 산란 특성을 해석하기 위해 기본적으로 EFIE(Electric Field Integral Equation)와 RWG(Rao-Wilton-Glisson) 기저 함수를 이용하였으며, 계산 효율을 높이기 위해 기존의 갤러킨(Galerkin) 기법과 중심점 보간(interpolation)법을 혼용하여 해석 시간을 단축시켰다. 이때, 계산 정확도 유지를 위해 임피던스 행렬의 각 원소간 거리를 상대 거리 지수로 정의하여 보간법 적용이 가능한 먼 거리 원소를 구분하였다. 제안된 해석 기법의 성능 검증은 금속구의 Mie-series 해법을 이용한 이론적 RCS(Radar Cross Section)를 비교/분석하였다. 또한, 본 연구 결과를 삼면-/전방향- 전파반사기와 같은 산란체에 적용하여 레이더 후방 산란 특성을 분석하였다.

고차확률가중모멘트법에 의한 지역화빈도분석과 GIS기법에 의한 설계강우량 추정 (Estimation of Design Rainfall by the Regional Frequency Analysis using Higher Probability Weighted Moments and GIS Techniques)

  • 이순혁;박종화;류경식;지호근;신용희
    • 한국농공학회:학술대회논문집
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    • 한국농공학회 2002년도 학술발표회 발표논문집
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    • pp.237-240
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    • 2002
  • Design rainfall using LH-moments following the consecutive duration were derived by the regional and at-site analysis using the observed and simulated data resulted from Monte Carlo techniques. RRMSE, RBIAS and RR in RRMSE for the design rainfall were computed and compared in the regional and at-site frequency analysis. Consequently, it was shown that the regional analysis can substantially more reduce the RRMSE, RBIAS and RR in RRMSE than at-site analysis in the prediction of design rainfall. RE for an optimal order of L-moments was also computed by the methods of L, L1, L2, L3 and L4-moments for GEV distribution. It was found that the method of L-moments is more effective than the others for getting optimal design rainfall according to the regions and consecutive durations in the regional frequency analysis. Diagrams for the design rainfall derived by the regional frequency analysis using L-moments were drawn according to the regions and consecutive durations by GIS techniques.

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A Proactive Dynamic Spectrum Access Method against both Erroneous Spectrum Sensing and Asynchronous Inter-Channel Spectrum Sensing

  • Gu, Junrong;Jang, Sung-Jeen;Kim, Jae-Moung
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제6권1호
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    • pp.361-378
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    • 2012
  • Most of the current frequency hopping (FH) based dynamic spectrum access (DSA) methods concern a reactive channel access scheme with synchronous inter-channel spectrum sensing, i.e., FH is reactively triggered by the primary user (PU)'s return reported by spectrum sensing, and the PU channel to be switched to is assumed precisely just sensed or ready to be sensed, as if the inter-channel spectrum sensing moments are synchronous. However, the inter-channel spectrum sensing moments are more likely to be asynchronous, which risks PU suffering more interference. Moreover, the spectrum sensing is usually erroneous, which renders the problem more complex. To address this problem, we propose a proactive FH based DSA method against both erroneous spectrum sensing and asynchronous inter-channel spectrum sensing (moments). We term it as proactive DSA. The optimal FH sequence is obtained by dynamic programming. The complexity is also analyzed. Finally, the simulation results confirm the effectiveness of the proposed method.

Isolated RC wall subjected to biaxial bending moment and axial force

  • Park, Honggun
    • Structural Engineering and Mechanics
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    • 제9권5호
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    • pp.469-482
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    • 2000
  • A numerical study using nonlinear finite element analysis is performed to investigate the behavior of isolated reinforced concrete walls subjected to combined axial force and in-plane and out-of-plane bending moments. For a nonlinear finite element analysis, a computer program addressing material and geometric nonlinearities was developed. Through numerical studies, the internal force distribution in the cross-section is idealized, and then a new design method, different from the existing methods based on the plane section hypothesis was developed. According to the proposed method, variations in the interaction curve of the in-plane bending moment and axial force depends on the range of the permissible axial force per unit length, that is determined by a given amount of out-of-plane bending moment. As the out-of-plane bending moment increases, the interaction curve shrinks, indicating a decrease in the ultimate strength. The proposed method is then compared with an existing method, using the plane section hypothesis. Compared with the proposed method, the existing method overestimates the ultimate strength for the walls subjected to low out-of-plane bending moments, while it underestimates the ultimate strength for walls subject to high out-of-plane bending moments. The proposed method can address the out-of-plane local behavior of the individual wall segments that may govern the ultimate strength of the entire wall.

전이원소착물의 자기모멘트의 계산 (제1보). 일그러진 팔면체 $[Ti(III)A_3B_3]$형태 착물의 자기모멘트 [A 및 B = Cl, O, N, Br] (Calculation of the Magnetic Moments for Transition Metal Complexes (I). The Magnetic Moments for Distorted Octahedral $[Ti(III)A_3B_3]$ Type Complexes [A and B = Cl, O, N, Br])

  • 안상운;박의서;박병빈
    • 대한화학회지
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    • 제24권2호
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    • pp.91-100
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    • 1980
  • 축방향대칭을 갖는 팔면체 $[Ti(III)A_3B_3]$형태 착물의 자기모멘트를 계산하는 식을 유도하여 distortion parameter$({\delta})$, 스핀-궤도 상호작용상수$({\zeta}')$ 및 orbital reduction factor의 실험치를 사용하여 이들 착물의 자기모멘트를 계산하였다. 축방향으로 일그러진 팔면체 $[Ti(III)A_3B_3]$형태 착물의 계산한 자기모멘트가 실험치와 비교적 일치하였다. 팔면체로부터 축방향 일그러짐이 커짐에 따라 그리고 orbital reduction factor가 감소함에 따라 계산한 자기모멘트의 값이 크게 감소하였다. 축방향대칭보다 낮은 리간드장으로 일그러진 팔면체착물의 자기모멘트를 계산하는 방법을 발전시켰으며 계산한 자기모멘트를 기초로 하여 일그러진 팔면체 $[Ti(III)A_3B_3]$형태 착물의 구조를 논의하였다.

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L 및 LH-모멘트법과 지역빈도분석에 의한 가뭄우량의 추정(I) - L-모멘트법을 중심으로 - (Estimation of Drought Rainfall by Regional Frequency Analysis using L and LH-Moments(I) - On the Method of L-Moments -)

  • 이순혁;윤성수;맹승진;류경식;주호길
    • 한국농공학회지
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    • 제45권5호
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    • pp.97-109
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    • 2003
  • This study is mainly conducted to derive the design drought rainfall by the consecutive duration using probability weighted moments with rainfall in the regional drought frequency analysis. It is anticipated to suggest optimal design drought rainfall of hydraulic structures for the water requirement and drought frequency of occurrence for the safety of water utilization through this study. Preferentially, this study was conducted to derive the optimal regionalization of the precipitation data that can be classified by the climatologically and geographically homogeneous regions all over the regions except Cheju and Ulreung islands in Korea. Five homogeneous regions in view of topographical and climatological aspects were accomplished by K-means clustering method. Using the L-moment ratio diagram and Kolmogorov-Smirnov test, generalized extreme value distribution was confirmed as the best fitting one among applied distributions. At-site and regional parameters of the generalized extreme value distribution were estimated by the method of L-moments. Design drought rainfalls using L-moments following the consecutive duration were derived by the at-site and regional analysis using the observed and simulated data resulted from Monte Carlo techniques. Relative root-mean-square error (RRMSE), relative bias (RBIAS) and relative reduction (RR) in RRMSE for the design drought rainfall derived by at-site and regional analysis in the observed an simulated data were computed and compared. In has shown that the regional frequency analysis procedure can substantially more reduce the RRMSE. RBIAS and RR in RRMSE than those of at-site analysis in the prediction of design drought rainfall. Consequently, optimal design drought rainfalls following the regions and consecutive durations were derived by the regional frequency analysis.

이중 링 마스크 저니키 모멘트를 이용한 손동작 인식 (Gesture Recognition Using Zernike Moments Masked By Duel Ring)

  • 박정수;김태용
    • 전자공학회논문지
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    • 제50권10호
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    • pp.171-180
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    • 2013
  • 일반적으로 저니키 모멘트 값을 이용한 매칭 시에는 외접원 안에 속하는 이미지 정보를 Zernike 기저함수로 투영시켜 얻은 모멘트 값을 이용하여 매칭에 사용한다. 하지만 손 이미지의 특성상 무게중심 부근에 중복되는 정보가 많이 포함되는데 이로 인해 변별력이 떨어질 수 있는 문제점이 있다. 또한 중복되는 정보를 제외한 이미지 정보들 중에서 특정 영역에 있는 정보들은 손의 모양정보를 구분하는데 변별력을 높여줄 수 있다. 본 논문에서는 이러한 문제점을 해결하기 위해 중복되는 정보를 제거하는 R1 링 마스크를 통해 얻은 이미지와 변별력을 높여 줄 수 있는 정보에 가중치를 부여하는 R2 링 마스크를 통해 얻은 이미지를 결합하여 R3 링 마스크를 설계한다. R3 링 마스크를 이용하여 얻은 모멘트들을 주성분분석(PCA)을 통해 차원을 축소함으로써 매칭량을 감소시킨다. 제안한 방법의 우수성을 확인하기 위해 7가지 손 모양을 다른 방법과 비교실험 하였으며, 그 결과 우수성을 확인 할 수 있었다.