• Title/Summary/Keyword: Numerical algorithm

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Two Terminals Numerical Algorithm for Distance Protection, Fault Location and Acing Faults Recognition Based on Synchronized Phasors

  • Lee Chan-Joo;Park Jong-Bae;Shin Joong-Rin;Radojevic Zoran
    • Journal of Electrical Engineering and Technology
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    • v.1 no.1
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    • pp.35-41
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    • 2006
  • This paper presents a new numerical algorithm for fault location estimation and for faults recognition based on the synchronized phasors. The proposed algorithm is based on the synchronized phasor measured from the synchronized PMUs installed at two-terminals of the transmission lines. In order to discriminate the fault type, the arc voltage wave shape is modeled numerically on the basis of a great number of arc voltage records obtained by transient recorder. From the calculated arc voltage amplitude it can make a decision whether the fault is permanent or transient. The results of the proposed algorithm testing through computer simulation are given.

Numerical Calculations of Compressible Flows using a SIMPLE Algorithm (SIMPLE 알고리즘을 이용한 압축성유동해석)

  • Ahn Hee-Sub;Sohn Chang-Hyun;Moon Su-Yeon
    • Journal of computational fluids engineering
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    • v.5 no.2
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    • pp.1-8
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    • 2000
  • A well-known pressure correction method, a SIMPLE algorithm, is extended to treat compressible flows. Collocated grids are used and density is linked to pressure via an equation of state. The influence of pressure on density in the case of compressible flows is implicitly incorporated into the extended SIMPLE algorithm. The first-order Upwind and high-order Quick scheme are compared with respect to an accuracy and convergence time at all speeds. The extended method is verified on a number of test cases and the results are compared with other numerical results available in the literature. The calculated results show that the Quick scheme improves accuracy at all speed and also reduces the calculation time at supersonic flows, compared with the Upwind scheme.

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Efficient calculation method of derivative of traveltime using SWEET algorithm for refraction tomography

  • Choi, Yun-Seok;Shin, Chang-Soo
    • 한국지구물리탐사학회:학술대회논문집
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    • 2003.11a
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    • pp.402-409
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    • 2003
  • Inversion of traveltime requires an efficient algorithm for computing the traveltime as well as its $Frech\hat{e}t$ derivative. We compute the traveltime of the head waves using the damped wave solution in the Laplace domain and then present a new algorithm for calculating the $Frech\hat{e}t$ derivative of the head wave traveltimes by exploiting the numerical structure of the finite element method, the modem sparse matrix technology, and SWEET algorithm developed recently. Then, we use a properly regularized steepest descent method to invert the traveltime of the Marmousi-2 model. Through our numerical tests, we will demonstrate that the refraction tomography with large aperture data can be used to construct the initial velocity model for the prestack depth migration.

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An Algorithm for Calculation of Probability Distributions of Output Variables in Process Simulation (공정 시뮬레이션 출력 변수의 확률분포 계산 알고리즘)

  • 최수형
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.10
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    • pp.847-850
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    • 2002
  • Stochastic process analysis is often based on Monte Carlo simulations. As a more rigorous alternative, a deterministic algorithm based on numerical integration is proposed in this paper. which calculates the probability distributions of dependent random variables using the results of simulation with grid points of independent random variables. For performance evaluation, the proposed algorithm is applied to an example problem which can be analytically solved. and the result is compared with that of Monte Carlo simulation. The proposed algorithm is suitable for general process simulation problems with a few independent random variables, and expected to be applicable to areas such as safety analysis and quality control.

Nonlinear identification of Bouc-Wen hysteretic parameters using improved experience-based learning algorithm

  • Luo, Weili;Zheng, Tongyi;Tong, Huawei;Zhou, Yun;Lu, Zhongrong
    • Structural Engineering and Mechanics
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    • v.76 no.1
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    • pp.101-114
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    • 2020
  • In this paper, an improved experience-based learning algorithm (EBL), termed as IEBL, is proposed to solve the nonlinear hysteretic parameter identification problem with Bouc-Wen model. A quasi-opposition-based learning mechanism and new updating equations are introduced to improve both the exploration and exploitation abilities of the algorithm. Numerical studies on a single-degree-of-freedom system without/with viscous damping are conducted to investigate the efficiency and robustness of the proposed algorithm. A laboratory test of seven lead-filled steel tube dampers is presented and their hysteretic parameters are also successfully identified with normalized mean square error values less than 2.97%. Both numerical and laboratory results confirm that, in comparison with EBL, CMFOA, SSA, and Jaya, the IEBL is superior in nonlinear hysteretic parameter identification in terms of convergence and accuracy even under measurement noise.

A NEW FIFTH-ORDER WEIGHTED RUNGE-KUTTA ALGORITHM BASED ON HERONIAN MEAN FOR INITIAL VALUE PROBLEMS IN ORDINARY DIFFERENTIAL EQUATIONS

  • CHANDRU, M.;PONALAGUSAMY, R.;ALPHONSE, P.J.A.
    • Journal of applied mathematics & informatics
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    • v.35 no.1_2
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    • pp.191-204
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    • 2017
  • A new fifth-order weighted Runge-Kutta algorithm based on heronian mean for solving initial value problem in ordinary differential equations is considered in this paper. Comparisons in terms of numerical accuracy and size of the stability region between new proposed Runge-Kutta(5,5) algorithm, Runge-Kutta (5,5) based on Harmonic Mean, Runge-Kutta(5,5) based on Contra Harmonic Mean and Runge-Kutta(5,5) based on Geometric Mean are carried out as well. The problems, methods and comparison criteria are specified very carefully. Numerical experiments show that the new algorithm performs better than other three methods in solving variety of initial value problems. The error analysis is discussed and stability polynomials and regions have also been presented.

NUMERICAL ANALYSIS OF CHORDS SUMMATION ALGORITHM FOR π VALUE

  • PARK, HYUN IL;PAHADIA, SAURAV;HWANG, CHRISTINE;HWANG, CHI-OK
    • Journal of applied mathematics & informatics
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    • v.38 no.3_4
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    • pp.277-290
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    • 2020
  • We propose and analyze a chord summation algorithm, which combines the ideas of Viète and Archimedes to calculate the value of π. The error of the algorithm decreases exponentially per iteration and becomes pinched at a critical iteration, depending on the accuracy of the first input value, ${\sqrt{2}}$. The critical iteration is also analyzed.

Joint Subcarrier Matching and Power Allocation in OFDM Two-Way Relay Systems

  • Vu, Ha Nguyen;Kong, Hyung-Yun
    • Journal of Communications and Networks
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    • v.14 no.3
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    • pp.257-266
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    • 2012
  • A decode-and-forward two-way relay system benefits from orthogonal frequency division multiplexing (OFDM) and relay transmission. In this paper, we consider a decode-and-forward two-way relay system over OFDMwith two strategies: A joint subcarrier matching algorithm and a power allocation algorithm operating with a total power constraint for all subcarriers. The two strategies are studied based on average capacity using numerical analysis by uniformly allocating power constraints for each subcarrier matching group. An optimal subcarrier matching algorithm is proposed to match subcarriers in order of channel power gain for both transmission sides. Power allocation is defined based on equally distributing the capacity of each hop in each matching group. Afterward, a modified water-filling algorithm is also considered to allocate the power among all matching groups in order to increase the overall capacity of the network. Finally, Monte Carlo simulations are completed to confirm the numerical results and show the advantages of the joint subcarrier matching, power allocation and water filling algorithms, respectively.

Analysis of Thermal flow Field Uing Equal Order Linear Finite Element and Fractional Step Method (동차선형 유한요소와 Fractional Step방법을 이용한 열유동장의 해석)

  • ;;Yoo, Jung Yul
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.10
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    • pp.2667-2677
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    • 1995
  • A new numerical algorithm using equal order linear finite element and fractional step method has been developed which is capable of analyzing unsteady fluid flow and heat transfer problems. Streamline Upwind Petrov-Galerkin (SUPG) method is used for the weighted residual formulation of the Navier-Stokes equations. It is shown that fractional step method, in which pressure term is splitted from the momentum equation, reduces computer memory and computing time. In addition, since pressure equation is derived without any approximation procedure unlike in the previously developed SIMPLE algorithm based FEM codes, the present numerical algorithm gives more accurate results than them. The present algorithm has been applied preferentially to the well known bench mark problems associated with steady flow and heat transfer, and proves to be more efficient and accurate.

A Calculation of 1 Dimensional Blasting Pressure Uslng the Flux-Corrected Transport Algorithm (Flux-Corrected Transport Algorithm을 적용한 1차원 발파압력산정에 관한 연구)

  • 김문겸;오금호;이필규
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1995.10a
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    • pp.76-83
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    • 1995
  • Estimation of blasting behavior of explosives is prerequisite in the numerical analysis of blasting works. In this study, blasting pressure is estimated by the finite difference method using the Flux-Corrected Transport Algorithm. To formulate the behavior of blasting gas, the mass conservation equation, the moment conservation equation, the energy conservation equation and the ideal gas state equation are used. The simplified species conservation equation is included to simulate the behavior of reacting explosives. To verify the calculation, the Sod's shock tube problem, the strong shock problem and the reacting problem we used. Numerical results show that the shock wave can be captured by means of the FCT algorithm in the reacting and nonreacting states.

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