• 제목/요약/키워드: Latin Hypercube method

검색결과 133건 처리시간 0.02초

Application of data-driven model reduction techniques in reactor neutron field calculations

  • Zhaocai Xiang;Qiafeng Chen;Pengcheng Zhao
    • Nuclear Engineering and Technology
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    • 제56권8호
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    • pp.2948-2957
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    • 2024
  • High-order harmonic techniques can be used to recreate neutron flux distributions in reactor cores using the neutron diffusion equation. However, traditional source iteration and source correction iteration techniques have sluggish convergence rates and protracted calculation periods. The correctness of the implicitly restarted Arnoldi method (IRAM) in resolving the eigenvalue problems of the one-dimensional and two-dimensional neutron diffusion equations was confirmed by computing the benchmark problems SLAB_1D_1G and two-dimensional steady-state TWIGL using IRAM. By integrating Galerkin projection with Proper Orthogonal Decomposition (POD) techniques, a POD-Galerkin reduced-order model was developed and the IRAM model was used as the full-order model. For 14 macroscopic cross-section values, the TWIGL benchmark problem was perturbed within a 20% range. We extracted 100 sample points using the Latin hypercube sampling method, and 70% of the samples were used as the testing set to assess the performance of the reduced-order model The remaining 30% were utilized as the training set to develop the reduced-order model, which was employed to rebuild the TWIGL benchmark problem. The reduced-order model demonstrates good flexibility and can efficiently and accurately forecast the effective multiplication factor and neutron flux distribution in the core. The reduced-order model predicts keff and neutron flux distribution with a high degree of agreement compared to the full-order model. Additionally, the reduced-order model's computation time is only 10.18% of that required by the full-order model.The neutron flux distribution of the steady-state TWIGL benchmark was recreated using the reduced-order model. The obtained results indicate that the reduced-order model can accurately predict the keff and neutron flux distribution of the steady-state TWIGL benchmark.Overall, the proposed technique not only has the potential to accurately project neutron flux distributions in transient settings, but is also relevant for reconstructing neutron flux distributions in steady-state conditions; thus, its applicability is bound to increase in the future.

베이지안 기법을 이용한 염해 콘크리트구조물의 내구성 예측 (Durability Prediction for Concrete Structures Exposed to Chloride Attack Using a Bayesian Approach)

  • 정현준;지광습;공정식;강진구
    • 콘크리트학회논문집
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    • 제20권1호
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    • pp.77-88
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    • 2008
  • 본 논문에서는 염해를 받는 RC 구조물의 부식 내구성을 예측하기 위한 새로운 접근 방법을 제시한다. 이 예측 방법은, 현장 계측 데이터가 추가적으로 있을 때 베이스 정리 이론에 의하여 계속적으로 업데이팅을 할 수 있다. 모델 매개변수의 확률론적인 특성은 모델로 명백하게 고려된다. 염해 해석 모델의 절차를 간단하게 하기 위해서는, 내구성 한계의 확률은 라틴 하이퍼큐브 샘플 추출법에서 얻는 표본에서 결정된다. 이러한 새로운 방법은 중요한 콘크리트 구조물을 설계하기에 아주 유용하다. 그리고 모니터링을 통한 실 콘크리트구조물의 잔존수명을 예측 할 수 있다.

단상 BLDC 전동기의 코깅토크 저감을 위한 고정자 형상 최적설계 (Optimal Design of Stator Shape for Cogging Torque Reduction of Single-phase BLDC Motor)

  • 박용운;소지영;정동화;유용민;조주희;안강순;김대경
    • 전기학회논문지
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    • 제62권11호
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    • pp.1528-1534
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    • 2013
  • This paper proposes the optimal design of stator shape for cogging torque reduction of single-phase brushless DC (BLDC) motor with asymmetric notch. This method applied size and position of asymmetric notches to tapered teeth of stator for single-phase BLDC motor. Which affects the variation of the residual flux density of the permanent magnet. The process of optimal design included the extraction of the sampling point by using Latin Hypercube Sampling(LHS), and involved the creation of an approximation model by using kriging method. Also, the optimum point of the design variables were discovered by using the Genetic Algorithm(GA). Finite element analysis was used to calculate the characteristics analysis and cogging torque. As a result of finite element analysis, cogging torque were reduced approximately 39.2% lower than initial model. Also experimental result were approximately 38.5% lower than initial model. The period and magnitude of the cogging torque were similar to the results of FEA.

이중 쐐기형 초음속 흡입구의 압력회복률에 대한 신뢰성 기반 최적설계 (Reliability Based Design Optimization for the Pressure Recovery of Supersonic Double-Wedge Inlet)

  • 이창혁;안중기;배효길;권장혁
    • 한국항공우주학회지
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    • 제38권11호
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    • pp.1067-1074
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    • 2010
  • 본 연구에서는 이중 쐐기형 초음속 흡입구의 압력회복률에 대한 신뢰성 최적설계를 수행하였다. 주어진 설계영역에서 다양한 설계변수의 불확실성을 고려하여 흡입구의 압력회복률을 확률적으로 모델링하였으며, 목적함수로는 흡입구 항력을 선정하였다. 신뢰성 최적설계에 앞서 전산해석비용을 줄이기 위해 실험계획법과 크리깅 모델을 이용하여 적절한 설계공간을 탐색하였다. 신뢰성 기법의 정확도 검증을 위해 몬테카를로 시뮬레이션을 수행하였으며 이 결과를 신뢰성 기법 결과가 잘 추종함을 확인하였다. 신뢰성 기반 최적설계를 수행한 결과, 설계변수의 불확실성을 고려함으로써 시스템의 신뢰성을 확보하였다. 시스템 설계의 다양한 불확실성을 고려하기 위해서는 신뢰성 기반 최적설계가 유용한 접근방법임을 확인할 수 있었다.

Optimization of a Single-Channel Pump Impeller for Wastewater Treatment

  • Kim, Joon-Hyung;Cho, Bo-Min;Kim, Youn-Sung;Choi, Young-Seok;Kim, Kwang-Yong;Kim, Jin-Hyuk;Cho, Yong
    • International Journal of Fluid Machinery and Systems
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    • 제9권4호
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    • pp.370-381
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    • 2016
  • As a single-channel pump is used for wastewater treatment, this particular pump type can prevent performance reduction or damage caused by foreign substances. However, the design methods for single-channel pumps are different and more difficult than those for general pumps. In this study, a design optimization method to improve the hydrodynamic performance of a single-channel pump impeller is implemented. Numerical analysis was carried out by solving three-dimensional steady-state incompressible Reynolds-averaged Navier-Stokes equations using the shear stress transport turbulence model. As a state-of-the-art impeller design method, two design variables related to controlling the internal cross-sectional flow area of a single-channel pump impeller were selected for optimization. Efficiency was used as the objective function and was numerically assessed at twelve design points selected by Latin hypercube sampling in the design space. An optimization process based on a radial basis neural network model was conducted systematically, and the performance of the optimum model was finally evaluated through an experimental test. Consequently, the optimum model showed improved performance compared with the base model, and the unstable flow components previously observed in the base model were suppressed remarkably well.

순차적 크리깅 근사모델을 이용한 LMTT 이송체의 구조최적설계 (Structural Optimization for LMTT-Mover Using Sequential Kriging Based Approximation Model)

  • 박형욱;한동섭;이권희;한근조
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 2005년도 추계학술대회 논문집
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    • pp.289-295
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    • 2005
  • LMTT(Linear Motor-based Transfer Technology)는 항만 자동화를 위한 수평 이송 시스템이며, 셔틀카(shuttle car)와 격자구조의 레일에 부착된 스테이터 모듈(stator module)로 구성된 PMLSM(Permanent Magnetic Linear Synchronous Motor)에 의해 구동된다. 본 논문에서는 LMTT시스템에서 컨테이너 운반을 담당하는 셔틀카(shuttle car)를 구성하는 부품인 이동체(mover)의 경량화를 위하여 직교배열표 및 크리깅 방법을 이용하여 최적설계를 수행한다. 설계변수로는 가로빔, 세로빔, 휠빔의 두께를 제한조건 함수로는 안전율이 고려된 응력을 넘지 않도록 설정하였다. 목적함수로는 중량을 설정하였다. 본 연구에서 제시된 방법으로 구한 최적해는 크리깅 내삽법(Kriging interpolation)으로 알려진 DACE(Design and Analysis of Computer Experiments) 모델을 엑셀(Excel)로 수식화하고 구했으며, GENESIS를 이용하여 민감도기반 최적설계로 구해진 최적해와 비교 및 검토하였다.

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신경망을 이용한 구조물 접합부의 손상도 추정 (Structural Joint Damage Assessment Using Neural Networks)

  • 방은영;이진학;윤정방
    • 한국지진공학회논문집
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    • 제2권1호
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    • pp.35-46
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    • 1998
  • 대부분의 손상도 추정법들을 부재의 손상을 해당부재의 평균적인 강성감소로 표현하였다. 본 연구에서는 보다 실제적인 손상도를 추정하기 위하여, 접합부의 손상을 도입하였다. 접합부의 모형화를 위하여 보의 양단에 회전스프링을 추가하였으며, 접합부 손상을 접합부 강성의 감소로 정의하였다. 접합부의 손상도를 계측된 모드벡터를 바탕으로하여, 신경망기법을 추정하였다. 효율적인 훈련패턴을 만들기 위하여 Latin Hypercube Sampling 기법을 도입하였으며, 국부영역에서의 손상도추정을 위하여 부구조법을 도입하였다. 제안된 기법의 효율성을 검증하기 위하여 10층 프레임구조물에 대한 수치해석결과를 이용하였다. 예제해석을 통하여 추정결과가 상당히 정확함을 확인하여, 실제 적용 가능한 방법임을 알수 있었다.

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실험계획법을 이용한 대형 선박용 레이더 마스트의 공진회피 설계 (Design Enhancement to Avoid Radar Mast Resonance in Large Ship using Design of Experiments)

  • 박준형;이대용;양정욱;송창용
    • 한국해양공학회지
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    • 제33권1호
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    • pp.50-60
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    • 2019
  • Recently, problems with excessive vibration of the radar masts of large bulk carriers and crude oil tankers have frequently been reported. This paper explores a design method to avoid the resonance of a radar mast installed on a large ship using various design of experiment (DOE) methods. A local vibration test was performed during an actual sea trial to determine the excitation sources of the vibration related to the resonant frequency of the radar mast. DOE methods such as the orthogonal array (OA) and Latin hypercube design (LHD) methods were used to analyze the Pareto effects on the radar mast vibration. In these DOE methods, the main vibration performances such as the natural frequency and weight of the radar mast were set as responses, while the shape and thickness of the main structural members of the radar mast were set as design factors. From the DOE-based Pareto effect results, we selected the significant structural members with the greatest influence on the vibration characteristics of the radar mast. Full factorial design (FFD) was applied to verify the Pareto effect results of the OA and LHD methods. The design of the main structural members of the radar mast to avoid resonance was reviewed, and a normal mode analysis was performed for each design using the finite element method. Based on the results of this normal mode analysis, we selected a design case that could avoid the resonance from the major excitation sources. In addition, a modal test was performed on the determined design to verify the normal mode analysis results.

자동차용 인스트루먼트 패널의 사출압력 최소화를 위한 밸브 게이트 열림 시점 결정 (Determination of Valve Gate Open Timing for Minimizing Injection Pressure of an Automotive Instrument Panel)

  • 조성빈;박창현;표병기;최동훈
    • 한국자동차공학회논문집
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    • 제20권4호
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    • pp.46-51
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    • 2012
  • Injection pressure, an important factor in filling process, should be minimized to enhance injection molding quality. Injection pressure can be controlled by valve gate open timing. In this work, we decided the valve gate open timing to minimize the injection pressure. To solve this design problem, we integrated MAPS-3D (Mold Analysis and Plastic Solution-3Dimension), a commercial injection molding CAE tool, to PIAnO (Process Integration, Automation and Optimization), a commercial PIDO (Process Integration, and Design Optimization) tool using the file parsing method. In order to reduce computational cost, we performed an approximate optimization using meta-models that replaced expensive computer simulations. At first, we carried out DOE (Design of Experiments) using OLHD (Optimal Latin Hypercube Design) available in PIAnO. Then, we built Kriging models using the simulation results at the sampling points. Finally, we used micro GA (Genetic Algorithm) available in PIAnO. Using the proposed design approach, the injection pressure has been reduced by 13.7% compared to the initial one. This design result clearly shows the validity of the proposed design approach.

콘크리트 표면차수벽형 석괴댐 정상부 변위에 영향을 미치는 입력물성에 대한 민감도분석 (Sensitivity Analysis on Rockfill Material Parameters Influencing Crest Displacement of Concrete-Faced Rockfill Dam)

  • 하익수;서민우;신동훈
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2006년도 춘계 학술발표회 논문집
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    • pp.846-853
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    • 2006
  • In this study, quantitative sensitivity analysis on rockfill material influencing the dam crest displacement of Concrete-Faced Rockfill Dam(CFRD) was carried out. The purpose of this study is to indicate the most important input parameter and to show the quantitative variation of displacement at the crest of CFR type dam with this input parameter. The rockfill material properties for parametric study were obtained from the results of large scale triaxial tests on 34 rockfill materials in the 22 different sites. From the statistical analysis on these data, some statistical characteristics of rockfill material properties such as property range, distribution characteristics, and correlation between the properties were investigated. based on these characteristics, 27 property combinations were constituted by Latin Hypercube sampling method. Dam crest displacements after construction, impounding, and earthquake loading were evaluated by static and dynamic numerical analysis on each combination. From the sensitivity analysis, it was found that the crest displacement of CFR type dam was absolutely affected by the shear modulus of rockfill material and the effect of friction angle of it was negligible. This relative difference of sensitivity was more outstanding in case of crest settlement than in case of crest horizontal displacement. Also, it was found that the settlement and horizontal displacement of dam crest logarithmically decreased as the shear modulus increased and the difference between the maximum value and the minimum vale amounted to about 9.5 times in case of settlement and about 10 times in case of horizontal displacement.

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