• Title/Summary/Keyword: Second-order method

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Second order of average current nodal expansion method for the neutron noise simulation

  • Poursalehi, N.;Abed, A.
    • Nuclear Engineering and Technology
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    • v.53 no.5
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    • pp.1391-1402
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    • 2021
  • The aim of this work is to prepare a neutron noise calculator based on the second order of average current nodal expansion method (ACNEM). Generally, nodal methods have the ability to fulfill the neutronic analysis with adequate precision using coarse meshes as large as a fuel assembly size. But, for the zeroth order of ACNEM, the accuracy of neutronic simulations may not be sufficient when coarse meshes are employed in the reactor core modeling. In this work, the capability of second order ACNEM is extended for solving the neutron diffusion equation in the frequency domain using coarse meshes. For this purpose, two problems are modeled and checked including a slab reactor and 2D BIBLIS PWR. For validating of results, a semi-analytical solution is utilized for 1D test case, and for 2D problem, the results of both forward and adjoint neutron noise calculations are exploited. Numerical results indicate that by increasing the order of method, the errors of frequency dependent coarse mesh solutions are considerably decreased in comparison to the reference. Accordingly, the accuracy of second order ACNEM can be acceptable for the neutron noise calculations by using coarse meshes in the nuclear reactor core.

Identification of Three-Parameter Models from Step Response (스텝응답을 이용한 3매개변수 모델의 식별)

  • Ali, Mohammed Sowket;Lee, Jun-Sung;Lee, Young-Il
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.12
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    • pp.1189-1196
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    • 2010
  • This paper provides an identification method for three-parameter models i.e. first order with dead time models and second order with dead time models. The proposed identification method is based on step response and can be easily implemented using digital microprocessors. The proposed method first identifies the order of the plant i.e. first order or second order from the behavior of the plant with constant input. After the order of the plant is determined, a test step input is applied to the system and the three parameters of the plant are obtained from the corresponding response of the plant. The output of the plant need not to be zero when the test signal is applied. The efficacy of proposed algorithms is verified through simulation and experiment.

A numerical study of the second-order wave excitation of ship springing by a higher-order boundary element method

  • Shao, Yan-Lin;Faltinsen, Odd M.
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.6 no.4
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    • pp.1000-1013
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    • 2014
  • This paper presents some of the efforts by the authors towards numerical prediction of springing of ships. A time-domain Higher Order Boundary Element Method (HOBEM) based on cubic shape function is first presented to solve a complete second-order problem in terms of wave steepness and ship motions in a consistent manner. In order to avoid high order derivatives on the body surfaces, e.g. mj-terms, a new formulation of the Boundary Value Problem in a body-fixed coordinate system has been proposed instead of traditional formulation in inertial coordinate system. The local steady flow effects on the unsteady waves are taken into account. Double-body flow is used as the basis flow which is an appropriate approximation for ships with moderate forward speed. This numerical model was used to estimate the complete second order wave excitation of springing of a displacement ship at constant forward speeds.

Experimental Considration of Multi-order Sampling for Digital Beamforming (디지털 빔포밍을 위한 다차 샘플링 방법의 실험적 고찰)

  • 나병윤;정목근
    • Journal of Biomedical Engineering Research
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    • v.19 no.2
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    • pp.105-112
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    • 1998
  • In this paper, several bandwidth sampling methods were compared using experimental result in which contains "multi-order sampling", which was proposed for envelope detections in RF ultrasonic signals. A "Quadrature sampling method" and "Second-order sampling method" were compared with it. The resultant image of second-order sampling method introduces too much error as compared with the result of quadrature sampling. But Multi-order sampling method, specialy 5-th sampling method showed quite good envelope detection property. This means that more economical and quite good performance digital beamforming system can be built by adopting this multi-order sampling method.s multi-order sampling method.

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Practical Second-Order Correlation Power Analysis on the Message Blinding Method and Its Novel Countermeasure for RSA

  • Kim, Hee-Seok;Kim, Tae-Hyun;Yoon, Joong-Chul;Hong, Seok-Hie
    • ETRI Journal
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    • v.32 no.1
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    • pp.102-111
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    • 2010
  • Recently power attacks on RSA cryptosystems have been widely investigated, and various countermeasures have been proposed. One of the most efficient and secure countermeasures is the message blinding method, which includes the RSA derivative of the binary-with-random-initial-point algorithm on elliptical curve cryptosystems. It is known to be secure against first-order differential power analysis (DPA); however, it is susceptible to second-order DPA. Although second-order DPA gives some solutions for defeating message blinding methods, this kind of attack still has the practical difficulty of how to find the points of interest, that is, the exact moments when intermediate values are being manipulated. In this paper, we propose a practical second-order correlation power analysis (SOCPA). Our attack can easily find points of interest in a power trace and find the private key with a small number of power traces. We also propose an efficient countermeasure which is secure against the proposed SOCPA as well as existing power attacks.

The Reactions of O(3P) Atom with Halomethanes: Discharge Flow-Chemiluminescence Imaging Method

  • Lee, Jee-Yon;Yoo, Hee-Soo
    • Bulletin of the Korean Chemical Society
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    • v.23 no.2
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    • pp.291-294
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    • 2002
  • The reactions of triplet oxygen atom with halomethanes as a potential fire extinguisher were studied by a discharge flow-chemiluminescence imaging method. The experiments were carried out under second order conditions. The bimolecular atom-molecule reaction rate constants were determined in terms of the initial rate method. The initial concentration of oxygen atom was also determined under second order rate law instead of the pseudo-first order conditions with $[O(^3P)]_0{\ll}[sample]_0$. The second order conditions were more reliable than pseudo-first order conditions for the determinations of rate constants. The rate constants of the reactions $CF_3I\;+\;O(^3P)$, $CH_3PI\;+\'O(^3P)$, and $CHBrCl_2\;+\;O(^3P)$ were determined to be $5.0\;{\times}\;10^{-12}$ , $1.1\;×\;0^{-11}$ , and $1.9\;{\times}\;10^{-14}cm^3molecule^{-1}s^{-1}$, respectively.

Computation of the Higher Order Derivatives of Energy Release Rates in a Multiply Cracked Structure for Probabilistic Fracture Mechanics and Size Effect Law (확률론적 파괴역학 및 Size Effect Law에 적용을 위한 다중 균열 구조물에서의 에너지 해방률의 고차 미분값 계산)

  • Hwang, Chan-Gyu
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.21 no.4
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    • pp.391-399
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    • 2008
  • In this paper, we further generalize the work of Lin and Abel to the case of the first and the second order derivatives of energy release rates for two-dimensional, multiply cracked systems. The direct integral expressions are presented for the energy release rates and their first and second order derivatives. The salient feature of this numerical method is that the energy release rates and their first and second order derivatives can be computed in a single analysis. It is demonstrated through a set of examples that the proposed method gives expectedly decreasing, but acceptably accurate results for the energy release rates and their first and second order derivatives. The computed errors were approximately 0.5% for the energy release rates, $3\sim5%$ for their first order derivatives and $10\sim20%$ for their second order derivatives for the mesh densities used in the examples. Potential applications of the present method include a universal size effect model and a probabilistic fracture analysis of cracked structures.

MODIFIED SECOND ORDER SLOPE ROTATABLE DESIGNS USING BIBD

  • Victorbabu B. Re.
    • Journal of the Korean Statistical Society
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    • v.35 no.2
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    • pp.179-192
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    • 2006
  • In this paper, a new method of modified second order slope rotatable designs (SOSRD) using balanced incomplete block designs (BIBD) for $4{\le}v{\le}16$ is presented. In this method the number of design points required is in some cases less than the number required in Victorbabu (2305) modified slope rotatable central composite designs. Further, a new method of construction of three level modified SOSRD using BIBD is presented. The modified SOSRD can be viewed as SOSRD constructed with the technique of augmentation of second order rotatable design (SORD) using BIBD to SOSRD. These designs are useful in parts to estimate responses and slopes with spherical variance functions.

Interactive and Intuitive Physics-based Blending Surface Design for the Second Order Algebraic Implicit Surfaces

  • Park, Tae-Jung;Kam, Hyeong-Ryeol;Shin, Seung-Ho;Kim, Chang-Hun
    • Journal of Korea Multimedia Society
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    • v.12 no.6
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    • pp.842-855
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    • 2009
  • We present a physics-based blending method for the second order algebraic implicit surface. Unlike other traditional blending techniques, the proposed method avoids complex mathematical operations and unwanted artifacts like bulge, which have highly limited the application of the second order algebraic implicit surface as a modeling primitive in spite of lots of its excellent properties. Instead, the proposed method provides the designer with flexibility to control the shapes of the blending surface on interactive basis; the designer can check and design the shape of blending surfaces accurately by simply adjusting several physics parameter in real time, which was impossible in the traditional blending methods. In the later parts of this paper, several results are also presented.

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A DC Motor Speed Control by Selection of PID Parameter using Genetic Algorithm

  • Yoo, Heui-Han;Lee, Yun-Hyung
    • Journal of Advanced Marine Engineering and Technology
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    • v.31 no.3
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    • pp.293-300
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    • 2007
  • The aim of this paper is to design a speed controller of a DC motor by selection of a PID parameters using genetic algorithm. The model of a DC motor is considered as a typical non-oscillatory, second-order system, And this paper compares three kinds of tuning methods of parameter for PID controller. One is the controller design by the genetic algorithm. second is the controller design by the model matching method third is the controller design by Ziegler and Nichols method. It was found that the proposed PID parameters adjustment by the genetic algorithm is better than the Ziegler & Nickels' method. And also found that the results of the method by the genetic algorithm is nearly same as the model matching method which is analytical method. The proposed method could be applied to the higher order system which is not easy to use the model matching method.