• Title/Summary/Keyword: integral part

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INSTRUMENTATION AND CONTROL STRATEGIES FOR AN INTEGRAL PRESSURIZED WATER REACTOR

  • UPADHYAYA, BELLE R.;LISH, MATTHEW R.;HINES, J. WESLEY;TARVER, RYAN A.
    • Nuclear Engineering and Technology
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    • v.47 no.2
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    • pp.148-156
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    • 2015
  • Several vendors have recently been actively pursuing the development of integral pressurized water reactors (iPWRs) that range in power levels from small to large reactors. Integral reactors have the features of minimum vessel penetrations, passive heat removal after reactor shutdown, and modular construction that allow fast plant integration and a secure fuel cycle. The features of an integral reactor limit the options for placing control and safety system instruments. The development of instrumentation and control (I&C) strategies for a large 1,000 MWe iPWR is described. Reactor system modeling-which includes reactor core dynamics, primary heat exchanger, and the steam flashing drum-is an important part of I&C development and validation, and thereby consolidates the overall implementation for a large iPWR. The results of simulation models, control development, and instrumentation features illustrate the systematic approach that is applicable to integral light water reactors.

ON ASYMPTOTIC METHOD IN CONTACT PROBLEMS OF FREDHOLM INTEGRAL EQUATION OF THE SECOND KIND

  • Abdou, M.A.
    • Journal of applied mathematics & informatics
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    • v.9 no.1
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    • pp.261-275
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    • 2002
  • Besides asymptotic method, the method of orthogonal polynomials has been used to obtain the solution of the Fredholm integral equation. The principal (singular) part of the kerne1 which corresponds to the selected domain of parameter variation is isolated. The unknown and known functions are expanded in a Chebyshev polynomial and an infinite a1gebraic system is obtained.

CONVEXITY OF INTEGRAL OPERATORS GENERATED BY SOME NEW INEQUALITIES OF HYPER-BESSEL FUNCTIONS

  • Din, Muhey U.
    • Communications of the Korean Mathematical Society
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    • v.34 no.4
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    • pp.1163-1173
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    • 2019
  • In this article, we deduced some new inequalities related to hyper-Bessel function. By using these inequalities we will find some sufficient conditions under which certain families of integral operators are convex in the open unit disc. Some applications related to these results are also the part of our investigation.

GENERALIZED MYERS THEOREM FOR FINSLER MANIFOLDS WITH INTEGRAL RICCI CURVATURE BOUND

  • Wu, Bing-Ye
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.4
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    • pp.841-852
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    • 2019
  • We establish the generalized Myers theorem for Finsler manifolds under integral Ricci curvature bound. More precisely, we show that the forward complete Finsler n-manifold whose part of Ricci curvature less than a positive constant is small in $L^p$-norm (for p > n/2) have bounded diameter and finite fundamental group.

Implementation of an Emulator for the Integrated Image Reconstruction according to Distance (거리에 따른 집적 영상 복원을 지원하는 에뮬레이터의 구현)

  • Jang, Ha Eun;Lee, Eun Ji;Lee, Yeon Ju;Lim, Soon-Bum
    • Journal of Korea Multimedia Society
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    • v.19 no.3
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    • pp.548-556
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    • 2016
  • Integral imaging is an auto-stereoscopic display method that can produce 3D image of a finite viewing window through an array of micro elemental lenses. Integral imaging requires the pickup part of each elemental images acquisition and display part of reconstruction of the images. The successful reconstructed image depends on various parameters such as distance between lens arrays and display device, focal length of lenses, and a number of the array. In this paper, we present reconstruction emulator for display of Integral imaging in order to adjust parameters for 3D contents reconstruction and to observe the result from different configuration. Especially, we provide the user interface for the emulator to control the distance easily. We have confirmed through various experiments that the emulator adjusted the distance and could check error in the process of creating elemental images.

Extended Integral Control with the PID Controller (PID 제어기를 이용한 확장 적분 제어)

  • Moon, Young-Hyun;Jung, Ki-Young;Ryu, Heon-Su;Song, Kyung-Bin
    • Proceedings of the KIEE Conference
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    • 1999.07c
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    • pp.1063-1066
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    • 1999
  • This paper presents an extended integral control with the PID controller by introducing the delay and decaying factors. The convolution integral control scheme is developed by substituting proportional convolution integral controls for the proportional-integral control. So far, the integral part of the PI controller produces a signal that is proportional to the time integral of the input of the controller. The steady-state operation points are affected forever by the errors in the past due to the input signal containing the information of the errors in the past. These phenomina may cause some disturbances for other control purposes related to the given PI control. Introduction of forgetting factors of the error in the past can resolve the disturbance problems. Various forgetting factors are developed using the delay, the decaying factors, and the combination of the delay and the decaying factors. The proposed various extended integral control schemes can be applicable to corresponding PI control designs in which the error in the past may badly affect to the current steady-state operation points and may cause some disturbances for other control purposes.

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A study of integral equations for the analysis of scattered acoustic field (산란음장 해석을 위한 적분방정식에 대한 연구)

  • Wonju Jeon;Lee, Duck-Joo
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.1016-1019
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    • 2002
  • This paper deals with a fundamental and classical scattering problem by a finite strip. For the analysis of scattered acoustic field, a “single” integral equation is derived. Firstly, the complexity by considering the effect of the mean flow is alleviated by the introduction of Prandtl-Glauert coordinate and the new dependent variable. Secondly, the difficulty of solving the resultant strongly-coupled integral equations which always appear in this kind of 3-part mixed boundary value problem is solved by observing some good properties of the functions in complex domain and manipulating the equations and variables for the use of those properties. The solution can be obtained asymptotically in terms of gamma function and Whittaker function. One aim of this study is the improvement of methodology for the research using integral equations. The other is the basic understanding of scattering by a finite strip related to the linear cascade model of rotating fan blades.

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An Analysis of the Concept on Mensuration by Parts and Definite Integral (구분구적법과 정적분의 개념 분석)

  • Shin, Bo-Mi
    • Journal of the Korean School Mathematics Society
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    • v.11 no.3
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    • pp.421-438
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    • 2008
  • Understanding the concept of definite integral is based on understanding the concept of mensuration by parts. However, several previous studies pointed out the difficulty on teaching the concept of mensuration by parts. The paper provides some didactic strategies which help teaching the concept of mensuration by part. To teach the concept of definite integral, in the high school curriculum, the relation between definite integral and series is dealt with. However, the paper suggests that importing the concept of series is not indispensable to teach the concept of definite integral. It is proper that definite integral is taught as limit of particular sequence not series.

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J-integral Analysis by P-version Crack Model (P-version 균열모델에 의한 J-적분해석)

  • 이채규;우광성;윤영필
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1994.10a
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    • pp.38-45
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    • 1994
  • P-version finite element model for the computation of stress intensity factors in two dimensional cracked panels by J-integral method is presented. The proposed model is based on high order theory and hierarchical shape function. The displacements fields are defined by integrals of Legendre polynomials which can be classified into three part such as basic mode, side mode, integral mode. The stress intensity factors are computed by J-integral method. The example models for validating the proposed p-version model are centrally cracked panel, single and double edged crack in a rectangular panel under pure Mode I. And the analysis results are compared with those by the h-version of FEM and empirical solutions in literatures. Very good agreement with the existing solution are shown.

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