• Title/Summary/Keyword: BFGS 기법

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Identification of Manning's Roughness in 1D nonuniform flow (최적화 기법을 이용한 1차원 부등류에서의 매닝조도계수 추정)

  • Lee, Du-Han;Rhee, Dong-Sup;Kim, Myoung-Hwan
    • Proceedings of the Korea Water Resources Association Conference
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    • 2010.05a
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    • pp.679-683
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    • 2010
  • 본 연구에서는 공간적 변수인 조도계수를 기지의 수위값을 이용하여 최적값을 결정하는 방법에 대해서 검토하고자 한다. 최적화 기법에 의한 조도계수는 기지의 수위값과 수치모의에 의한 결과 값의 전체 오차를 최소화하는 값으로 결정된다. 본 연구에서는 3가지 최적화 기법을 이용하였으며 가상 수로에 대해서 적용하였다. 수위계산은 표준축차법에 의해 수행하였으며 사용된 최적화 기법은 quasi-Newton 방법이다. 1차원 모형은 Matlab을 이용하여 표준축자법으로 구성하였으며 BFGS 기법, L-BFGS 기법, Steepest Gradient Descent 기법 등도 Matlab으로 구성하였다. 표준축차법은 조도계수가 입력되면 기지의 수위값과의 2-norm을 계산하도록 구성하였다. 계산 결과에 의하면 세가 기법 모두 20 23회 정도의 반복계산을 수행하고 값이 수렴되었는데, L-BFGS의 경우에는 정확하게 음수의 조도계수로 수렴하였으며, BFGS기법과 Steepest Gradient 기법의 경우에는 양의 값으로 정확하게 수렴하였다.

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Optimization Technique for Parameter Estimation used in 2-Dimensional Modelling of Nonlinear Consolidation Analysis of Soft Deposits (2차원 모델화된 연약지반의 비선형 압밀해석시 이용되는 모델변수 추정을 위한 최적화기법)

  • 김윤태;이승래
    • Geotechnical Engineering
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    • v.13 no.1
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    • pp.47-58
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    • 1997
  • The predicted consolidation behavior of in-situ soft clay is quite different from the meas ureal one mainly due to the approximate numerical modelling techniques as well as the uncertainties involved in soil properties and geological configurations. In order to improve the prediction, this paper takes the following pinto consideration : an optimization technique should be adopted for characterizing the in-situ properties from measurements and also an equivalent and efficient model be considered to incorporate the actual 3-D effects. The soil parameters used be the modified Camflay model, which have an effect on the process of consolidation, were back-analyzed by BFGS scheme on the basis of settlements and pore pressures measured in real sites. The optimization technique was implemented in a general consolidation analysis program SPINED. By using the program, one may be able to appropriately analyze the timetependent consolidation behavior of soft deposits.

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Back Analysis for Parameter Estimation in Riverbank Filtration (강변여과 대수층의 매개변수 추정을 위한 역해석)

  • Park, Seo-Hwa;Lee, Sang-Il
    • Proceedings of the Korea Water Resources Association Conference
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    • 2005.05b
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    • pp.1476-1480
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    • 2005
  • 본 연구에서는 매개변수를 추정하는 방법 중 하나인 역해석을 이용하여 강변여과 지역의 투수량계수를 추정하였다. 최적화 기법으로 BFGS(Broyden-Fletcher-Goldfarb-Shanno)를, 정해석 프로그램으로 지하수위와 오염물 거동을 2차원적으로 모의할 수 있는 MOC(Method of Characteristics)을 이용하여 포트란으로 구성된 새로운 프로그램을 개발하였으며 프로그램의 적용성을 검증하기 위해 실제 강변여과를 하고 있는 경남 창원시 대산면의 8개월간 관측 지하수위를 이용하여 그 지역의 투수량계수를 추정하였다.

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Numerical Optimization Applied to Estimate the Composition of Nonlinear Electric Loads (비선형 전기부하구성 예측을 위한 최적화 기법 비교 평가)

  • Lee, Soon;Park, Jung-Wook
    • Proceedings of the KIEE Conference
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    • 2007.07a
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    • pp.576-577
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    • 2007
  • 본 논문은 전력시스템 수용가를 구성하는 비선형 부하에 흐르는 왜곡된 파형을 가진 전류의 상대적 비율을 결정하여 비선형 전기부하구성을 예측하기 위한 연구이다. 본 논문에서는 수용가 전기부하 구성 예측을 위한 해결 절차로써 수용가의 수리적 모델링을 통한 시스템 방정식을 도출하였고 최적화 이론을 적용하였다. 또한, 본 시스템에 적용한 최적화 알고리즘으로 steepest descent, conjugate gradient, Broydon-Fletcher-Goldfarb-Shanno (BFGS) 기법을 사용하였고, 예측된 결과들의 성능을 나타내는 지표인 수렴 속도와 정확도 비교를 통하여 분산 전력시스템의 전기부하구성 예측을 위해 BFGS 기법을 적용하는 것이 가장 효율적인 방안임을 보였다.

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Development of Reliability-Based Optimum Design of High-Speed Railway Bridges Considering Structure-Rail Longitudinal Interaction and Structure-Vehicle Interaction Using Heuristic Decision Method (Heuristic Decision Method를 이용하여 구조물-궤도 종방향 상호작용 및 구조물-차량 상호작용을 고려한 고속철도 교량의 신뢰성 최적설계 기법 개발)

  • Ihm, Yeong-Rok
    • Journal of the Korean Society of Hazard Mitigation
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    • v.10 no.3
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    • pp.31-38
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    • 2010
  • In this study, it is suggested that it has to reliability-based design methodology with respect to bridge structure-rail longitudinal interaction and bridge structure-vehicle interaction. For the structural analysis, commercial package, ABAQUS, are used for a three-dimensional finite element analysis. The optimization process utilizes a well-known optimizer, ADS(Automated Design Synthesis). Optimization technique is utilized the ALM-BFGS method for global area search and Golden Section Method for 1-D search. In general, ALM-BFGS method don't need the 1-D search, and that algorithm converge a 0.1~0.2 of Push-Off factor. But in this study, value of Push-Off factor is used 90, therefore 1-D search should be needed for effective convergency. That algorithm contains the "heuristic decision method". As a result of optimum design of 2-main steel girder birdge with 5${\times}$(1@50m), design methodology suggested in this study was demonstrated more economic and efficient than existing design and LCC optimization not considering bridge-rail longitudinal interaction and bridge-vehicle interaction.

Water Quality Forecasting System by Reliability Analysis in the Nakdong River (낙동강에서의 신뢰도해석에 의한 수질예보시스템의 개발)

  • Han, Geon-Yeon;Kim, Sang-Ho
    • Journal of Korea Water Resources Association
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    • v.30 no.4
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    • pp.411-420
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    • 1997
  • QUAL2E-AFOSM model is developed to forecast the water quality by reliability analysis in the Nakdong River. A varied-flow analysis is performed for the reach of Waegwan to Mulgeum to estimate hydraulic parameters. An optimization technique by BFGS method is applied to determine the optimum reaction parameters and calibrations and verifications are performed based on these parameters. A reliability analysis for the stochastic analysis in a river is studied using the AFOSM method. The variations of water quality and discharge in the headwater, tributaries, and reaction coefficients are considered. Risks of violating existing water quality standards at several loactions in the Nakdong River are computed by using the QUAL2E-AFOSM method. The computed results computed by QUAL2E-AFOSM model agree with those of the Monte-Carlo method in QUAL2EU model.

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Application of a Hydroinformatic System for Calibration of a Catchment Modelling System (강우-유출모형의 검정을 위한 수문정보시스템의 적용)

  • Choi, Kyung-Sook
    • Journal of the Korean Association of Geographic Information Studies
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    • v.6 no.3
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    • pp.129-138
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    • 2003
  • A new methodology for selecting spatially variable model control parameter values through consideration of inference models within a Hydroinformatic system has been developed to overcome problems associated with determination of spatially variable control parameter values for both ungauged and gauged catchment. The adopted Hydroinformatic tools for determination of control parameter values were a GIS(Arc/Info) to handle spatial and non-spatial attribute information, the SWMM(stormwater management model) to simulate catchment response to hydrologic events, and lastly, L_BFGS_B(a limited memory quasi-Newton algorithm) to assist in the calibration process. As a result, high accuracy of control parameter estimation was obtained by considering the spatial variations of the control parameters based on landuse characteristics. Also, considerable time and effort necessary for estimating a large number of control parameters were reduced from the new calibration approach.

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Optimization Techniques for Soil Parameters used in Axisymmetric Nonlinear Consolidation Analysis (축대칭 비선형 압밀해석을 위한 지반정수값의 최적화기법)

  • 김윤태;이승래
    • Geotechnical Engineering
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    • v.12 no.4
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    • pp.131-144
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    • 1996
  • In order to accelerate the rate of consolidation settlement and to gain a required shear strength for a given soft clay deposit, the preloadina technique combined with a vertical drainage system has been widely applied. Even if a sophisticated numerical analysis technique is applied to solve the consolidation behavior of drainage-installed soft deposits, the actual field behavior is often different from the behavior predicted in the design state due to several uncertainties involved in soil properties, numerical modelling, and measuring system. In this paper, two back-analysis schemes such hs simplex and BFGS methods have been implemented in an a Bisymmetric consolidation program, AXICON which considers the variation of compressibility and permeability during the consolidation process. Utilizing the program, one might be able to appropriately predict the subsequent consolidation behavior from the measured data in an early stage of consolidation of drainage-installed soft deposits.

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Back-Analysis for Estimating Transmissivity in Riverbank Filtration (강변여과 대수층의 투수량계수 추정을 위한 역해석)

  • Park Seo-Hwa;Lee Sang-Il;Lee Sang-Sin
    • Journal of Korea Water Resources Association
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    • v.39 no.6 s.167
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    • pp.503-510
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    • 2006
  • Riverbank filtration is a natural process, using alluvial aquifers to remove contaminants and pathogens in river water for the production of drinking water. Back analysis which minimizes the objective function that is typically the sum of squares of the differences between the calculated and measured quantities is used for the estimation of aquifer parameters. In this study, transmissivity is back-analysed using the BFGS (Broyden-Fletcher-Goldfarb-Shanno) scheme for optimization. MOC is used to obtain calculated groundwater level. The developed inverse model was applied to Dae-san, Chang-won city where riverbank filtration is being undertaken. The model showed good convergence behavior for different groundwater conditions. The performance of the model was better than a widely-used commercial software package in terms of error between calculated and observed groundwater level.

Application of Optimum Design Technique in Determining the Coefficient of Consolidation Using Piezocone Test (피에조 콘 시험을 이용정회원, 한국과학기술원 토목공학과 부교수, 정회원, 한국과학기술원 토목공학과 박사 후 과정한 망일계수 결정시 최적화 기법의 적용)

  • Kim, Yeong-Sang;Lee, Seung-Rae;Kim, Yun-Tae
    • Geotechnical Engineering
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    • v.13 no.4
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    • pp.95-108
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    • 1997
  • For normally consolidated clay, several researchers have developed a number of theoretical time factors to determine the coefficient of consolidation However, depending on the assumptions and analytical techniques, it could considerably vary even for a specific degree of consolidation. In this paper, a method is proposed to determine a consistent coefficient of consolidation over all ranges of degree of consolidation by applying the concept of the Optimum Design Technique. The initial excess pore pressure distribution is assumed to be obtainable by the successive spherical cavity expansion theory. The dissipation of pore pressure is simulated by means of two dimensional linear-uncoupled axisymmetric consolidation analysis. The minimization of the differences between the measured and the predicted excess pore pressures was carried by BFGS unconstrained optimum design algorithm with one dimensional golden section search technique. By analyzing numerical and real field examples, it can be found that the adopted optimum technique gives a consistent and convergent results.

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