• Title/Summary/Keyword: Uncertainty and sensitivity analysis

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불확실도와 민감도 분석용 통계 패키지(SPUSA)개발 및 고준위 방사성 폐기물 처분 계통에의 응용 (Development of Statistical Package for Uncertainty and Sensitivity Analysis(SPUSA) and Application to High Level Waste Repostitory System)

  • Kim, Tae-Woon;Cho, Won-Jin;Chang, Soon-Heung;Le, Byung-Ho
    • Nuclear Engineering and Technology
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    • 제19권4호
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    • pp.249-265
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    • 1987
  • 고준위 방사성폐기물 처분장에 대한 확률론적 위험도 평가를 위해 지금까지 많은 방법들이 제안되어 왔다. 이 계는 많은 불확실성을 갖는 입력 변수들을 갖고 있어서 이 입력변수들에 대해 계산된 위험도 역시 많은 불착실성을 갖는다. 본 논문에서는 이러한 점들을 조직적으로 분석하기 위하여 여러가지 불확실도 및 민감도 분석 방법들이 개발되었고 고준위 폐기물 처분장의 위험도 평가에 적용되었다. 본 논문을 통해 개발된 통계 패키지 SPUSA는 통계적 열여유도 분석, 방사선원 불확실도 분석등 등의 분야에도 사용될 수 있다.

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수평구동형 정전 액추에이터를 이용한 금속형 공진가속도계의 설계, 제작, 정적시험 및 오차분석 (Design, Fabrication, Static Test and Uncertainty Analysis of a Resonant Microaccelerometer Using Laterally-driven Electrostatic Microactuator)

  • 서영호;조영호
    • 대한기계학회논문집A
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    • 제25권3호
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    • pp.520-528
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    • 2001
  • This paper investigates a resonant microaccelerometer that measures acceleration using a built-in micromechanical resonator, whose resonant frequency is changed by the acceleration-induced axial force. A set of design equations for the resonant microaccelerometer has been developed, including analytic formulae for resonant frequency, sensitivity, nonlinearity and maximum stress. On this basis, the sizes of the accelerometer are designed for the sensitivity of 10$^3$Hz/g in the detection range of 5g, while satisfying the conditions for the maximum nonlinearity of 5%, the minimum shock endurance of 100g and the size constraints placed by microfabrication process. A set of the resonant accelerometers has been fabricated by the combined use of bulk-micromachining and surface-micromachining techniques. From a static test of the cantilever beam resonant accelerometer, a frequency shift of 860Hz has been measured for the proof-mass deflection of 4.3${\pm}$0.5$\mu\textrm{m}$; thereby resulting in the detection sensitivity of 1.10${\times}$10$^3$Hz/g. Uncertainty analysis of the resonant frequency output has been performed to identify important issues involved in the design, fabrication and testing of the resonant accelerometer.

Application of data driven modeling and sensitivity analysis of constitutive equations for improving nuclear power plant safety analysis code

  • ChoHwan Oh;Doh Hyeon Kim;Jeong Ik Lee
    • Nuclear Engineering and Technology
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    • 제55권1호
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    • pp.131-143
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    • 2023
  • Constitutive equations in a nuclear reactor safety analysis code are mostly empirical correlations developed from experiments, which always accompany uncertainties. The accuracy of the code can be improved by modifying the constitutive equations fitting wider range of data with less uncertainty. Thus, the sensitivity of the code with respect to the constitutive equations is evaluated quantitatively in the paper to understand the room for improvement of the code. A new methodology is proposed which first starts by dividing the thermal hydraulic conditions into multiple sub-regimes using self-organizing map (SOM) clustering method. The sensitivity analysis is then conducted by multiplying an arbitrary set of coefficients to the constitutive equations for each sub-divided thermal-hydraulic regime with SOM to observe how the code accuracy varies. The randomly chosen multiplier coefficient represents the uncertainty of the constitutive equations. Furthermore, the set with the smallest error with the selected experimental data can be obtained and can provide insight which direction should the constitutive equations be modified to improve the code accuracy. The newly proposed method is applied to a steady-state experiment and a transient experiment to illustrate how the method can provide insight to the code developer.

민감도 분석을 통한 기존건축물의 에너지성능 진단항목 선별 (Selecting of the Energy Performance Diagnosis Items through the Sensitivity Analysis of Existing Buildings)

  • 공동석;장용성;허정호
    • 설비공학논문집
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    • 제27권7호
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    • pp.354-361
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    • 2015
  • The building energy audit is an important process when collecting basic information for improving the energy performance of existing buildings. Audit parameters should be associated with the energy performance of the building. Such audit parameters will vary according to an individual building's characteristics and energy consumption patterns, but most building energy audits are performed in the same way. The sensitivity analysis (SA) is a statistical method to quantify the correlation between inputs and outputs that can determine which input is influential to which output. Therefore, an SA can identify influential parameters when applied to building energy analysis. In this paper, we adopted the Morris method to identify building energy audit parameters and performed a Monte Carlo simulation for uncertainty analysis. As a result, this method was able to identify an influential parameter for building energy audits and reduce uncertainty in energy consumption in buildings.

Aircraft derivative design optimization considering global sensitivity and uncertainty of analysis models

  • Park, Hyeong-Uk;Chung, Joon;Lee, Jae-Woo
    • International Journal of Aeronautical and Space Sciences
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    • 제17권2호
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    • pp.268-283
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    • 2016
  • Aircraft manufacturing companies have to consider multiple derivatives to satisfy various market requirements. They modify or extend an existing aircraft to meet new market demands while keeping the development time and cost to a minimum. Many researchers have studied the derivative design process, but these research efforts consider baseline and derivative designs together, while using the whole set of design variables. Therefore, an efficient process that can reduce cost and time for aircraft derivative design is needed. In this research, a more efficient design process is proposed which obtains global changes from local changes in aircraft design in order to develop aircraft derivatives efficiently. Sensitivity analysis was introduced to remove unnecessary design variables that have a low impact on the objective function. This prevented wasting computational effort and time on low priority variables for design requirements and objectives. Additionally, uncertainty from the fidelity of analysis tools was considered in design optimization to increase the probability of optimization results. The Reliability Based Design Optimization (RBDO) and Possibility Based Design Optimization (PBDO) methods were proposed to handle the uncertainty in aircraft conceptual design optimization. In this paper, Collaborative Optimization (CO) based framework with RBDO and PBDO was implemented to consider uncertainty. The proposed method was applied for civil jet aircraft derivative design that increases cruise range and the number of passengers. The proposed process provided deterministic design optimization, RBDO, and PBDO results for given requirements.

지진하중을 받는 I형 곡선거더 단경간 교량의 대리모델 기반 전역 민감도 분석 (Surrogate Model-Based Global Sensitivity Analysis of an I-Shape Curved Steel Girder Bridge under Seismic Loads)

  • 전준태;손호영;주부석
    • 한국재난정보학회 논문집
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    • 제19권4호
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    • pp.976-983
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    • 2023
  • 연구목적: 지진하중을 받는 교량 구조물의 동적 거동은 지진파의 특성 혹은 재료 및 기하학적 특성과 같은 많은 불확실성에 영향을 받는다. 하지만 모든 불확실성 인자가 교량 구조물의 동적 거동에 중요한 영향을 미치진 않는다. 영향성이 낮은 불확실성 인자까지 고려한 확률론적 내진성능 평가는 많은 계산비용이 요구되기 때문에 교량의 동적 거동에 미치는 영향을 고려하여 불확실성 인자는 식별되어야 한다. 따라서 본 연구는 I형 곡선 거더를 갖는 단경간 교량의 동적 거동에 영향을 미치는 주요 매개변수를 식별하기 위해 전역민감도 분석을 수행하였다. 연구방법: 지진파의 불확실성과 곡선 교량의 재료 및 기하학적 불확실성을 고려하여 유한요소 해석을 수행하였으며 해석결과를 기반으로 대리모델을 작성하였다. 결정계수와 같은 성능평가지료를 이용하여 대리모델을 평가하였으며 최종적으로 대리모델 기반의 전역 민감도 분석을 수행하였다. 연구결과: 지진하중을 받는 I형 곡선 거더의 응력응답에 가장 큰 영향을 미치는 불확실성 인자는 최대지반가속도(PGA), 교각의 높이(h), 강재의 항복응력(fy) 순으로 나타났다. PGA, h, fy의 주효과 민감도 지수는 각각 0.7096, 0.0839, 0.0352로 나타났으며 총 민감도 지수는 각각 0.9459, 0.1297, 0.0678로 나타났다. 결론: I형 곡선 거더의 응력응답은 입력운동의 불확실성에 대한 영향성이 지배적이며 각 불확실성 인자 사이의 교호작용에 큰 영향을 받는다. 따라서 입력운동의 개수 및 intensity measure과 같은 입력운동의 불확실성에 대한 추가적인 민감도 분석과 곡선거더의 개수 및 곡률과 같은 구조적 불확실성까지 고려한 총 민감도 분석은 필요하다.

Probabilistic sensitivity of base-isolated buildings to uncertainties

  • Gazi, Hatice;Alhan, Cenk
    • Smart Structures and Systems
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    • 제22권4호
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    • pp.441-457
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    • 2018
  • Characteristic parameter values of seismic isolators deviate from their nominal design values due to uncertainties and/or errors in their material properties and element dimensions, etc. Deviations may increase over service life due to environmental effects and service conditions. For accurate evaluation of the seismic safety level, all such effects, which would result in deviations in the structural response, need to be taken into account. In this study, the sensitivity of the probability of failure of the structures equipped with nonlinear base isolation systems to the uncertainties in various isolation system characteristic parameters is investigated in terms of various isolation system and superstructure response parameters in the context of a realistic three-dimensional base-isolated building model via Monte Carlo Simulations. The inherent record-to-record variability nature of the earthquake ground motions is also taken into account by carrying out analyses for a large number of ground motion records which are classified as those with and without forward-directivity effects. Two levels of nominal isolation periods each with three different levels of uncertainty are considered. Comparative plots of cumulative distribution functions and related statistical evaluation presented here portray the potential extent of the deviation of the structural response parameters resulting from the uncertainties and the uncertainty levels considered, which is expected to be useful for practicing engineers in evaluating isolator test results for their projects.

NUCLEAR DATA UNCERTAINTY AND SENSITIVITY ANALYSIS WITH XSUSA FOR FUEL ASSEMBLY DEPLETION CALCULATIONS

  • Zwermann, W.;Aures, A.;Gallner, L.;Hannstein, V.;Krzykacz-Hausmann, B.;Velkov, K.;Martinez, J.S.
    • Nuclear Engineering and Technology
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    • 제46권3호
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    • pp.343-352
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    • 2014
  • Uncertainty and sensitivity analyses with respect to nuclear data are performed with depletion calculations for BWR and PWR fuel assemblies specified in the framework of the UAM-LWR Benchmark Phase II. For this, the GRS sampling based tool XSUSA is employed together with the TRITON depletion sequences from the SCALE 6.1 code system. Uncertainties for multiplication factors and nuclide inventories are determined, as well as the main contributors to these result uncertainties by calculating importance indicators. The corresponding neutron transport calculations are performed with the deterministic discrete-ordinates code NEWT. In addition, the Monte Carlo code KENO in multi-group mode is used to demonstrate a method with which the number of neutron histories per calculation run can be substantially reduced as compared to that in a calculation for the nominal case without uncertainties, while uncertainties and sensitivities are obtained with almost the same accuracy.

Hydraulic Control System Using a Feedback Linearization Controller and Disturbance Observer - Sensitivity of System Parameters -

  • Kim, Tae-hyung;Lee, Ill-yeong;Jang, Ji-seong
    • 드라이브 ㆍ 컨트롤
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    • 제16권2호
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    • pp.59-65
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    • 2019
  • Hydraulic systems have severe nonlinearity inherently compared to other systems like electric control systems. Hence, precise modeling and analysis of the hydraulic control systems are not easy. In this study, the control performance of a hydraulic control system with a feedback linearization compensator and a disturbance observer was analyzed through experiments and numerical simulations. This study mainly focuses on the quantitative investigation of sensitivity on system uncertainties in the hydraulic control system. First, the sensitivity on the system uncertainty of the hydraulic control system with a Feedback Linearization - State Feedback Controller (FL-SFC) was quantitatively analyzed. In addition, the efficacy of a disturbance observer coupled with the FL-SFC for the hydraulic control system was verified in terms of overcoming the control performances deterioration owing to system uncertainty.

수직형 선반의 평면 오차 민감도 분석 및 신뢰도 평가 (Sensitivity Analysis and Confidence Evaluation for Planar Errors of a Vertical Turning Center)

  • 여규환;양승환
    • 한국정밀공학회지
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    • 제15권11호
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    • pp.67-75
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    • 1998
  • Geometric and thermal errors are key contributors to the errors of a computer numerically controlled turning center. A planar error synthesis model is obtained by synthesizing 11 geometric and thermal error components of a turning center with homogeneous coordinate transformation method. This paper shows the sensitivity analysis on the temperature change, the confidence evaluation on the uncertainty Of measurement systems, and the error contribution analysis from the planar error synthesis model. Planar error in the z direction was very sensitive to the temperature change. and planar errors in the x and z directions were not affected by the uncertainty of measurement systems. The error contribution analysis ,which is applicable to designing a new turning center, was helpful to find the large error components which affect planar errors of the turning center.

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