• Title/Summary/Keyword: State Approximation

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Probability subtraction method for accurate quantification of seismic multi-unit probabilistic safety assessment

  • Park, Seong Kyu;Jung, Woo Sik
    • Nuclear Engineering and Technology
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    • v.53 no.4
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    • pp.1146-1156
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    • 2021
  • Single-unit probabilistic safety assessment (SUPSA) has complex Boolean logic equations for accident sequences. Multi-unit probabilistic safety assessment (MUPSA) model is developed by revising and combining SUPSA models in order to reflect plant state combinations (PSCs). These PSCs represent combinations of core damage and non-core damage states of nuclear power plants (NPPs). Since all these Boolean logic equations have complemented gates (not gates), it is not easy to generate exact Boolean solutions. Delete-term approximation method (DTAM) has been widely applied for generating approximate minimal cut sets (MCSs) from the complex Boolean logic equations with complemented gates. By applying DTAM, approximate conditional core damage probability (CCDP) has been calculated in SUPSA and MUPSA. It was found that CCDP calculated by DTAM was overestimated when complemented gates have non-rare events. Especially, the CCDP overestimation drastically increases if seismic SUPSA or MUPSA has complemented gates with many non-rare events. The objective of this study is to suggest a new quantification method named probability subtraction method (PSM) that replaces DTAM. The PSM calculates accurate CCDP even when SUPSA or MUPSA has complemented gates with many non-rare events. In this paper, the PSM is explained, and the accuracy of the PSM is validated by its applications to a few MUPSAs.

Design of High-Speed 2-D State-Space Digital Filters Based on a Improved Branch-and-Bound Algorithm (개량된 분기한정법에 의한 고속연산 2차원 상태공간 디지털필터의 설계)

  • Lee Young-Ho
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.10 no.7
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    • pp.1188-1195
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    • 2006
  • This paper presents an efficient design method of 2-D state-space digital filter based on an improved branch-and -bound algorithm. The resultant 2-D state-space digital filters whose coefficients are represented as the sum of two power-of-two terms, are attractive for high-speed operation and simple implementation. The feasibility of the proposed method is demonstrated by several experiments. The results show that the approximation error and group delay characteristic of the resultant filters are similar to those of the digital filters which designed in the continuous coefficient space.

A study on the effects of active suspension upon vehicle handling (능동 현가장치가 차량의 핸들링에 미치는 영향에 관한 연구)

  • Lee, Jung-Sup;Kwon, Hyok-Jo;Oh, Chae-Youn
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.22 no.3
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    • pp.603-610
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    • 1998
  • This paper develops a 7 DOF vehicle model to study the effects of the active suspension on ride. The model is used to derive a control law for the active suspension using a full state linear optimal control technique. A wheelbase preview type active suspension is also considered in the control law derivation. The time delay between wheelbases is approximated using Pade approximation technique. The ride model is extended to a 14 DOF handling model. The 14 DOF handling model includes lateral, longitudinal, yaw and four wheel spin motions in addition to the 7 DOF ride model. A control law which is derived considering only ride related parameters is used to study the effects of the active suspension on a vehicle handling. J-turn maneuver simulation results show that the active suspension has a slower response in lateral acceleration and yaw rate, a bigger steady state lateral acceleration and an oversteer tendency. Lane changing maneuver simulation results show that the active suspension has a little bigger lateral acceleration but a much smaller roll angle and roll motion. Braking maneuver simulation results show that the active suspension has a much smaller pitch angle and pitch motion.

An Approximate algorithm for the analysis of the n heterogeneous IBP/D/l queuing model (다수의 이질적 IBP/D/1큐잉 모형의 분석을 위한 근사 알고리즘)

  • 홍석원
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.4 no.3
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    • pp.549-555
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    • 2000
  • We propose an approximate algorithm to analyze the queuing system with n bursty and heterogeneous arrival processes. Each input process is modeled by Interrupted Bernoulli Process(IBP). We approximate N arrival processes by a single state variable and subsequently simplify the transition probability matrix of the Markov chain associated with these N arrival processes. Using this single state variable of arrival processes, we describe the state of the queuing system and analyze the system numerically with the reduced transition probability matrix. We compute the queue length distribution, the delay distribution, and the loss probability. Comparisons with simulation data show that the approximation algorithm has a good accuracy.

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Theoretical Analysis of Digital PLL (디지털 위상 고정 루프의 이론적 해석)

  • 박영철;김재형;차균현
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.17 no.5
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    • pp.460-471
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    • 1992
  • By setting a new model to describe the time-discontinuous operation of PLL loop which used tri-state and sample-hold method, the stability analysis of nonlinear PLL has been performed in z-domain and the state equations for the transient response has been introduced. Until now, the lin-ear analysis by approximation of time-discontinuous to time-continuous operation had not found then stable region of time-discontinuous digital PLL exactly. However, the analysis In z-domain by the new model has been found the unstable region where the time-continuous analysis had have not. 1'herefore the limit of loop coefficient has been computed to design digital PLL optimally.

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Approximate Reachability Analysis of Large Finite State Machines (대규모 유한 상태 기계의 근사 도달성 분석)

  • Hong, You-Pyo
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.27 no.1C
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    • pp.78-83
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    • 2002
  • Reachability analysis of finite state machines is very useful for many computer-aided design applications such as communication protocol or microprecessor design. We present new techniques to improve approximate reachability analysis. The key idea is to used an iterative approximate reachability analysis technique in which don't care sets derived from previous iterations are used to improve the approximation in subsequent iterations. Experimental results show that the new techniques can improve reachability analysis significantly compared to existing analysis techniques.

The analysis of electrons drift velocity in $SF_6+O_2$ mixture gas by Boltzmann-Equation (볼츠만 방정식을 이용한 $SF_6+O_2$ 혼합가스의 전자이동속도)

  • Song, Byoung-Doo;Ha, Sung-Chul;Jeon, Byung-Hoon
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2002.05c
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    • pp.185-188
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    • 2002
  • This paper describes the information for quantitative simulation of weakly ionized plasma. We should grasp the meaning of the plasma state condition to utilize engineering application and to understand materials of plasma state. In this paper, the drift velocity of electron in $SF_6+O_2$ mixture gas calculated for range E/N values l~900[Td] at the temperature is 300[$^{\circ}K$] and pressure is 1[Torr], using a set of electron collision cross sections determined by the authors and the values of drift velocity of electrons are obtained for TOF, PT, SST sampling method of Backward Prolongation by two term approximation Boltzmann equation method. It has also been used to predict swarm parameter using the values of cross section as input. The result of Boltzmann equation, the drift velocity of electrons, has been compared with pure $SF_6$, pure $O_2$ and mixture gas.

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The analysis of the electron drift velocity of Xenon gas by Boltzmann-equation (볼츠만 방정식을 이용한 Xe 가스의 전자 이동속도 해석)

  • Song, Byoung-Doo;Ha, Sung-Chul;Jeon, Byoung-Hoon
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2001.05c
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    • pp.201-203
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    • 2001
  • This paper describes the information for quantitative simulation of weakly ionized plasma. We must grasp the meaning of the plasma state condition to utilize engineering application and to understand materials of plasma state. In this paper, the drift velocity of electron in Xenon gas calculated for range of E/N values from 0.01~500[Td] at the temperature is $300[^{\circ}K]$ and pressure is 1[Torr], using a set of electron collision cross sections determined by the authors and the values of drift velocity of electrons are obtained for TOF, PT, SST sampling method of Backward Prolongation by two term approximation Boltzmann equation method. it has also been used to predict swarm parameter using the values of cross section as input. The result of Boltzmann equation, the drift velocity of electrons, has been compared with experimental data by L. S. Frost and A. V. Phelps for a range of E/N. The swarm parameter from the study are expected to server as a critical test of current theories of low energy scattering by atoms and molecules.

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Prediction of initiation time of corrosion in RC using meshless methods

  • Yao, Ling;Zhang, Lingling;Zhang, Ling;Li, Xiaolu
    • Computers and Concrete
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    • v.16 no.5
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    • pp.669-682
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    • 2015
  • Degradation of reinforced concrete (RC) structures due to chloride penetration followed by reinforcement corrosion has been a serious problem in civil engineering for many years. The numerical simulation methods at present are mainly finite element method (FEM) and finite difference method (FDM), which are based on mesh. Mesh generation in engineering takes a long time. In the present article, the numerical solution of chloride transport in concrete is analyzed using radial point interpolation method (RPIM) and element-free Galerkin (EFG). They are all meshless methods. RPIM utilizes radial polynomial basis, whereas EFG uses the moving least-square approximation. A Galerkin weak form on global is used to attain the discrete equation, and four different numerical examples are presented. MQ function and appropriate parameters have been proposed in RPIM. Numerical simulation results are compared with those obtained from the finite element method (FEM) and analytical solutions. Two case of chloride transport in full saturated and unsaturated concrete are analyzed to test the practical applicability and performance of the RPIM and EFG. A good agreement is obtained among RPIM, EFG, and the experimental data. It indicates that RPIM and EFG are reliable meshless methods for prediction of chloride concentration in concrete structures.

The construction of multivariable Reissner-Mindlin plate elements based on B-spline wavelet on the interval

  • Zhang, Xingwu;Chen, Xuefeng;He, Zhengjia
    • Structural Engineering and Mechanics
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    • v.38 no.6
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    • pp.733-751
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    • 2011
  • In the present study, a new kind of multivariable Reissner-Mindlin plate elements with two kinds of variables based on B-spline wavelet on the interval (BSWI) is constructed to solve the static and vibration problems of a square Reissner-Mindlin plate, a skew Reissner-Mindlin plate, and a Reissner-Mindlin plate on an elastic foundation. Based on generalized variational principle, finite element formulations are derived from generalized potential energy functional. The two-dimensional tensor product BSWI is employed to form the shape functions and construct multivariable BSWI elements. The multivariable wavelet finite element method proposed here can improve the solving accuracy apparently because generalized stress and strain are interpolated separately. In addition, compared with commonly used Daubechies wavelet finite element method, BSWI has explicit expression and a very good approximation property which guarantee the satisfying results. The efficiency of the proposed multivariable Reissner-Mindlin plate elements are verified through some numerical examples in the end.