scholarly journals ACCRUE—An Integral Index for Measuring Experimental Relevance in Support of Neutronic Model Validation

2021 ◽  
Vol 9 ◽  
Author(s):  
Jeongwon Seo ◽  
Hany S. Abdel-Khalik ◽  
Aaron S. Epiney

A key challenge for the introduction of any design changes, e.g., advanced fuel concepts, first-of-a-kind nuclear reactor designs, etc., is the cost of the associated experiments, which are required by law to validate the use of computer models for the various stages, starting from conceptual design, to deployment, licensing, operation, and safety. To achieve that, a criterion is needed to decide on whether a given experiment, past or planned, is relevant to the application of interest. This allows the analyst to select the best experiments for the given application leading to the highest measures of confidence for the computer model predictions. The state-of-the-art methods rely on the concept of similarity or representativity, which is a linear Gaussian-based inner-product metric measuring the angle—as weighted by a prior model parameters covariance matrix—between two gradients, one representing the application and the other a single validation experiment. This manuscript emphasizes the concept of experimental relevance which extends the basic similarity index to account for the value accrued from past experiments and the associated experimental uncertainties, both currently missing from the extant similarity methods. Accounting for multiple experiments is key to the overall experimental cost reduction by prescreening for redundant information from multiple equally-relevant experiments as measured by the basic similarity index. Accounting for experimental uncertainties is also important as it allows one to select between two different experimental setups, thus providing for a quantitative basis for sensor selection and optimization. The proposed metric is denoted by ACCRUE, short for Accumulative Correlation Coefficient for Relevance of Uncertainties in Experimental validation. Using a number of criticality experiments for highly enriched fast metal systems and low enriched thermal compound systems with accident tolerant fuel concept, the manuscript will compare the performance of the ACCRUE and basic similarity indices for prioritizing the relevance of a group of experiments to the given application.

2014 ◽  
Vol 721 ◽  
pp. 543-546 ◽  
Author(s):  
Dong Juan Gu ◽  
Lei Xia

Apriori algorithm is the classical algorithm in data mining association rules. Because the Apriori algorithm needs scan database for many times, it runs too slowly. In order to improve the running efficiency, this paper improves the Apriori algorithm based on the Apriori analysis. The improved idea is that it transforms the transaction database into corresponding 0-1 matrix. Whose each vector and subsequent vector does inner product operation to receive support. And comparing with the given minsupport, the rows and columns will be deleted if vector are less than the minsupport, so as to reduce the size of the rating matrix, improve the running speeding. Because the improved algorithm only needs to scan the database once when running, therefore the running speeding is more quickly. The experiment also shows that this improved algorithm is efficient and feasible.


2018 ◽  
Vol 2018 ◽  
pp. 1-15 ◽  
Author(s):  
Yasser Mohamed Hamada

A new method based on shifted Chebyshev series of the first kind is introduced to solve stiff linear/nonlinear systems of the point kinetics equations. The total time interval is divided into equal step sizes to provide approximate solutions. The approximate solutions require determination of the series coefficients at each step. These coefficients can be determined by equating the high derivatives of the Chebyshev series with those obtained by the given system. A new recurrence relation is introduced to determine the series coefficients. A special transformation is applied on the independent variable to map the classical range of the Chebyshev series from [-1,1] to [0,h]. The method deals with the Chebyshev series as a finite difference method not as a spectral method. Stability of the method is discussed and it has proved that the method has an exponential rate of convergence. The method is applied to solve different problems of the point kinetics equations including step, ramp, and sinusoidal reactivities. Also, when the reactivity is dependent on the neutron density and step insertion with Newtonian temperature feedback reactivity and thermal hydraulics feedback are tested. Comparisons with the analytical and numerical methods confirm the validity and accuracy of the method.


Volume 4 ◽  
2004 ◽  
Author(s):  
Richard G. Ambrosek ◽  
Debbie J. Utterbeck ◽  
Brandon Miller

The DOE Advanced Fuel Cycle Initiative and Generation IV reactor programs are developing new fuel types for use in the current Light Water Reactors and future advanced reactor concepts. The Advanced Gas Reactor program is planning to test fuel to be used in the Next Generation Nuclear Plant (NGNP) nuclear reactor. Preliminary information for assessing performance of the fuel will be obtained from irradiations performed in the Advanced Test Reactor large “B” experimental facility.


2012 ◽  
Vol 157-158 ◽  
pp. 731-736
Author(s):  
Jing Fang Yang ◽  
Xian Ying Feng ◽  
Hong Jun Fu ◽  
Shi Gang Mu

Tire dynamic balance detection plays an important part in tire quality detection area. An accurate model structure and precise model parameters are the basis of the right test results. This paper builds a kinetic model based on engineering practice. To acquire parameters presents a method following identification theory. According to the need of actual production, a validation experiment is put forward. In the parameter identification process, data acquisition is completed by the PCI card. For data processing, this paper designs the fitting filter and then it also fetches the signal amplitude and phase with discrete Fourier transform. The results are proven to be right and practicable.


2019 ◽  
Vol 26 (1) ◽  
pp. 39-46
Author(s):  
Franciszek Grabski

Abstract The stochastic processes theory provides concepts and theorems that allow building probabilistic models concerning accidents. So called counting process can be applied for modelling the number of the road, sea and railway accidents in the given time intervals. A crucial role in construction of the models plays a Poisson process and its generalizations. The new theoretical results regarding compound Poisson process are presented in the paper. A nonhomogeneous Poisson process and the corresponding nonhomogeneous compound Poisson process are applied for modelling the road accidents number and number of injured and killed people in the Polish road. To estimate model parameters were used data coming from the annual reports of the Polish police [9, 10]. Constructed models allowed anticipating number of accidents at any time interval with a length of h and the accident consequences. We obtained the expected value of fatalities or injured and the corresponding standard deviation in the given time interval. The statistical distribution of fatalities number in a single accident and statistical distribution of injured people number and also probability distribution of fatalities or injured number in a single accident are computed. It seems that the presented examples explain basic concepts and results discussed in the paper.


2021 ◽  
Vol 2021 ◽  
pp. 1-19
Author(s):  
Chirag Sharma ◽  
Bagga Amandeep ◽  
Rajeev Sobti ◽  
Tarun Kumar Lohani ◽  
Mohammad Shabaz

The advancement of Internet technologies has led to the availability of audios, images, and videos in different forms. The unauthorized users are exploiting the use of multimedia by transmitting them on various Internet sites to earn money unethically without the intervention of the original copyright holder. Watermarking is a technique used to hide the signal known as watermark inside multimedia data that is not visible to the intruder to manipulate any information. In this paper, a secured watermarking approach is developed to tackle issues related to copyright protection and ownership identification. A Secured Graph Based Transform, Singular Valued Decomposition, and Hyperchaotic Encryption hybrid techniques are proposed. The watermark cannot be embedded in every frame of the video as it adds to the size of the video and watermark can be easily retrieved by an intruder. Therefore, the frame selection algorithm has been proposed in the given work. Adding watermark in the frame adds to the challenge of quality loss. The quality loss is addressed in this work. Various attacks have been applied on the watermarked frames to calculate the performance of the proposed technique using quality metrics: Peak Signal to Noise Ratio, Structural Similarity Index, Normalized Correlation, and Bit Error Rate. The results indicate that the proposed technique is effective against various attack scenarios.


Author(s):  
Vladimir Aleksandrovich ANTONOV ◽  

Relevance of the topic. To identify areas of increased deformation of the earth’s surface of rock blocks containing a mineral Deposit, GPS monitoring measurements of horizontal movements of markes installed at different points are carried out. An actual problem that arises here is the creation of a methodology that reliably describes and predicts the formation and location of deformation zones based on the movements of labels. The aim of the research is to create a methodology for forming, calculating and applying a binary mathematical model that describes and predicts the location and contours of the resulting areal deformations of the earth’s surface of two neighboring rock blocks based on placemark movements. Research methods include mathematical modeling of areal deformation, functional and numerical optimization of the parameters of the created model, experimental calculations and analysis of the distribution of the resulting and predicted deformation in a practical example of placemark movements. Research result. The model is based on the idea of blocks based on the spatial constraints of their horizontal dimensions and elastic properties in the hierarchical mosaic structure of composing rocks. Assuming that the size of a block of the earth’s surface does not exceed 5 km within the limits of a mineral Deposit, the movements of its points are considered in the plane. The resulting areal deformation is represented by the sum of linear and angular deformations. The model parameters were identified using the methods of least squares and parabolic vertex approximations implemented in the specified sequence of iterative calculations using the given optimization formulas. Calculations are regulated by the standard deviation of model and labels displacements. It boils down to the permissible small limit determined by the GPS positioning error. A practical example of interpreting placemark offsets shows the properties of model invariance in a multidirectional spatial coordinate system, as well as the detection of areal deformation zones and the forecast of its contour development. Conclusions. The applicability of the presented methodology for the deformation interpretation of multidirectional movements of the earth’s surface markes registered by the monitoring system is noted. The model’s conclusions about the areal location of deformation zones and its level can be used in predictive estimates and criteria that determine the possibility of safe mining operations in the detected zone and the content of man-made objects in it.


Geophysics ◽  
2017 ◽  
Vol 82 (6) ◽  
pp. G101-G114 ◽  
Author(s):  
Michael S. Zhdanov ◽  
Wei Lin

We have developed a novel approach for inversion of gravity and gravity gradiometry data based on multinary transformation of the model parameters. This concept is a generalization of binary density inversion to the models described by any number of discrete model parameters. The multinary inversion makes it possible to explicitly exploit the sharp contrasts of the density between the host media and anomalous targets in the inversion of gravity and gravity gradiometry data. In the framework of the multinary inversion method, we use the given values of density and error functions to transform the density distribution into the desired step-function distribution. To accommodate a possible deviation of the densities from the fixed discrete values, we develop an adaptive technique for selecting the corresponding standard deviations, guided by the inversion process. The novel adaptive multinary inversion algorithm is demonstrated to be effective in determining the shape, location, and densities of the anomalous targets. We find that this method can be effectively applied for the inversion of the full tensor gravity gradiometry (FTG) data computer simulated for the SEG salt density model and for the field FTG data collected in the Nordkapp Basin, Barents Sea.


Author(s):  
Frank Yee ◽  
Sermet Kuran ◽  
Mike Soulard ◽  
Zhenhua Zhang

Candu Energy, based on its highly successful CANDU 6 (C6) reactors proven on four continents, is preparing to launch its C6 referenced Generation III products: Enhanced CANDU 6 (EC6), the natural uranium optimized, and Advanced Fuel CANDU Reactor (AFCR), the alternative fuel optimized, CANDU reactors. The AFCR design is based on the EC6 design with appropriate design changes to the reactor core to cater for the alternative fuel cycles and post Fukushima improvement.. The paper reviews the common design basis of these reactors and then discusses the unique advantages and market specific features for each product. The AFCR implementation plan for China is also discussed.


2016 ◽  
Vol 15 (01) ◽  
pp. 123-135 ◽  
Author(s):  
Palle Jorgensen ◽  
Feng Tian

A frame is a system of vectors [Formula: see text] in Hilbert space [Formula: see text] with properties which allow one to write algorithms for the two operations, analysis and synthesis, relative to [Formula: see text], for all vectors in [Formula: see text]; expressed in norm-convergent series. Traditionally, frame properties are expressed in terms of an [Formula: see text]-Gramian, [Formula: see text] (an infinite matrix with entries equal to the inner product of pairs of vectors in [Formula: see text]); but still with strong restrictions on the given system of vectors in [Formula: see text], in order to guarantee frame-bounds. In this paper, we remove these restrictions on [Formula: see text], and we obtain instead direct-integral analysis/synthesis formulas. Applications are given to reproducing kernel Hilbert spaces, and to random fields.


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