• 제목/요약/키워드: latin hypercube sampling technique

검색결과 54건 처리시간 0.017초

핀휜이 부착된 회전하는 냉각유로의 최적설계 (Shape Optimization of a Rotating Cooling Channel with Pin-Fins)

  • 문미애;아프잘 후세인;김광용
    • 대한기계학회논문집B
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    • 제34권7호
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    • pp.703-714
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    • 2010
  • 본 연구에서는 크리깅 기법을 이용하여 엇갈린 핀휜이 부착된 회전하는 내부냉각유로의 형상 최적화를 수행하였다. 냉각유로 형상의 여러 매개변수 중 핀의 지름과 높이의 비, 핀의 지름과 핀과 핀 사이의 거리의 비를 최적설계를 위한 설계변수로 선택하였다. 열전달 관련 목적함수와 마찰손실 관련 목적함수를 가중계수를 이용하여 선형적으로 결합한 목적함수를 정의하였다. 크리깅 모델을 구축하기 위해 라틴하이퍼큐브 샘플링기법에 의해 생성된 20개 실험점에서 목적함수가 SST난류모델을 사용한 삼차원 레이놀즈평균 나비어-스톡스(RANS) 유동해석법에 의해 계산되었다. 크리깅 기법을 통하여 예측된 목적함수값은 RANS해석을 이용해 계산된 값과 매우 작은 오차 범위 내에서 일치하였으며, 최적설계를 통해 목적함수가 11% 감소하는 결과를 얻었다.

가중평균대리모델을 이용한 환기용 축류송풍기의 고효율 최적설계 (High-Efficiency Design of a Ventilation Axial-Flow Fan by Using Weighted Average Surrogate Models)

  • 김재우;김진혁;이찬;김광용
    • 대한기계학회논문집B
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    • 제35권8호
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    • pp.763-771
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    • 2011
  • 본 연구에서는 환기용 축류송풍기에 대하여 효율을 목적함수로 하는 수치최적설계를 수행하였다. 유동해석은 삼차원 Reynolds-averaged Navier-Stokes(RANS) 방정식을 통하여 이뤄졌으며, 난류모델로는 Shear Stress Transport 모델을 사용하였다. 최적설계를 위한 설계변수로는 허브비, 날개의 중간 및 팁 스팬에서의 엇갈림각을 사용하였다. 실험계획법으로 라틴하이퍼큐브 샘플링 방법을 사용하여 설계영역 내에서 25개의 실험점을 추출하였다. 최적설계기법인 가중평균대리모델과 삼차원 RANS 해석을 결합하여 수치최적설계를 수행하였으며, 가중평균대리모델로는 WTA1, WTA2 및 WTA3 모델을 사용하였다. 수치 최적설계에 의해 얻어진 최적형상들의 성능을 기준형상과 비교하였으며, 성능이 가장 좋은 모델에 대하여 기준형상과의 내부유동장 비교 및 분석을 통해 성능이 향상된 원인을 규명하였다.

A SE Approach for Real-Time NPP Response Prediction under CEA Withdrawal Accident Conditions

  • Felix Isuwa, Wapachi;Aya, Diab
    • 시스템엔지니어링학술지
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    • 제18권2호
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    • pp.75-93
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    • 2022
  • Machine learning (ML) data-driven meta-model is proposed as a surrogate model to reduce the excessive computational cost of the physics-based model and facilitate the real-time prediction of a nuclear power plant's transient response. To forecast the transient response three machine learning (ML) meta-models based on recurrent neural networks (RNNs); specifically, Long Short Term Memory (LSTM), Gated Recurrent Unit (GRU), and a sequence combination of Convolutional Neural Network (CNN) and LSTM are developed. The chosen accident scenario is a control element assembly withdrawal at power concurrent with the Loss Of Offsite Power (LOOP). The transient response was obtained using the best estimate thermal hydraulics code, MARS-KS, and cross-validated against the Design and control document (DCD). DAKOTA software is loosely coupled with MARS-KS code via a python interface to perform the Best Estimate Plus Uncertainty Quantification (BEPU) analysis and generate a time series database of the system response to train, test and validate the ML meta-models. Key uncertain parameters identified as required by the CASU methodology were propagated using the non-parametric Monte-Carlo (MC) random propagation and Latin Hypercube Sampling technique until a statistically significant database (181 samples) as required by Wilk's fifth order is achieved with 95% probability and 95% confidence level. The three ML RNN models were built and optimized with the help of the Talos tool and demonstrated excellent performance in forecasting the most probable NPP transient response. This research was guided by the Systems Engineering (SE) approach for the systematic and efficient planning and execution of the research.

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.