• Title/Summary/Keyword: System solution

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On-line Measurement of $H_2$O/LiBr Concentration using Electric Conductivity (전기 전도도를 이용한 $H_2$O/LiBr 용액의 실시간 농도의 측정)

  • 박찬우;김정환;강용태
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.14 no.12
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    • pp.1078-1083
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    • 2002
  • The objectives of this paper are to measure the concentration of $H_2$O/LiBr solution by measuring the electrical conductivity and to study the effect of the solution temperature and the concentration on the electrical conductivity of the solution. The solution temperature ranges $20^{\circ},\;40^{\circ},\;and\; 60^{\circ}$ for a fixed concentration during the experiment. The valid ranges of the concentration are two regions, low concentration region (1~20% of LiBr) and high concentration region (55~66% of LiBr). The results show that the conductivity of the solution increases linearly with increasing the solution temperature while it increases without creasing the concentration lower than about 35% of LiBr and decreases with increasing the concentration higher than 35%. This paper proposes experimental correlations for the concentration as functions of the solution temperature and the concentration with error band of $\pm7$% for the low concentration region and $\pm1$% for the high concentration region, respectively. The experimental correlation can be practically used in the on-line measurement without any sampling of solution from the closed system.

EXISTENCE OF PERIODIC SOLUTION AND PERSISTENCE FOR A DELAYED PREDATOR-PREY SYSTEM WITH DIFFUSION AND IMPULSE

  • Shao, Yuanfu;Tang, Guoqiang
    • Journal of applied mathematics & informatics
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    • v.30 no.3_4
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    • pp.429-444
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    • 2012
  • By using Mawhin continuation theorem and comparison theorem, the existence of periodic solution and persistence for a predator-prey system with diffusion and impulses are investigated in this paper. An example and simulation are given to show the effectiveness of the main results.

ALMOST PERIODIC SOLUTION FOR A n-SPECIES COMPETITION MODEL WITH FEEDBACK CONTROLS ON TIME SCALES

  • Li, Yongkun;Han, Xiaofang
    • Journal of applied mathematics & informatics
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    • v.31 no.1_2
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    • pp.247-262
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    • 2013
  • In this paper, using the time scale calculus theory, we first discuss the permanence of a $n$-species competition system with feedback control on time scales. Based on the permanence result, by the Lyapunov functional method, we establish sufficient conditions for the existence and uniformly asymptotical stability of almost periodic solutions of the considered model. The results of this paper is completely new. An example is employed to show the feasibility of our main result.

Computational solution for the problem of a stochastic optimal switching control

  • Choi, Won-Sik
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.155-159
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    • 1993
  • In this paper, we consider the problem of a stochastic optimal switching control, which can be applied to the control of a system with uncertain demand such as a control problem of a power plant. The dynamic programming method is applied for the formulation of the optimal control problem. We solve the system of Quasi-Variational Inequalities(QVI) using an algoritlim which involves the finite difference approximation and contraction mapping method. A mathematical example of the optimal switching control is constructed. The actual performance of the algorithm is also tested through the solution of the constructed example.

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Numerical Stability of Cholesky Factorization in Interior Point Methods for Linear Programming (내부점 방법에서 촐레스키 분해의 수치적 안정성)

  • Seol, Tong-Ryeol;Seong, Myeong-Ki;Ahn, Jae-Geun;Park, Soon-Dal
    • Journal of Korean Institute of Industrial Engineers
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    • v.25 no.3
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    • pp.290-297
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    • 1999
  • In interior point methods for linear programming, we must solve a linear system with a symmetric positive definite matrix at every iteration, and Cholesky factorization is generally used to solve it. Therefore, if Cholesky factorization is not done successfully, many iterations are needed to find the optimal solution or we can not find it. We studied methods for improving the numerical stability of Cholesky factorization and the accuracy of the solution of the linear system.

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An Exponentialization Procedure for General FMS Network of Queues with Limited Buffer

  • Lee, Ho-Chang
    • Journal of the Korean Operations Research and Management Science Society
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    • v.19 no.3
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    • pp.203-217
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    • 1994
  • In this paper we develop an exponentialization procedure for the modelling of open FMS networks with general processing time at each station and limited buffer size. By imposing a reasonable assumption on the solution set, the nonlinear equation system for the exponentialization procedure is formulated as a variational inequality problem and the solution existence is examined. The efficient algorithm for the nonlinear equation system is developed using linearized Jacobi approximation method.

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Natural vibration analysis of diagonal networks

  • Chai, W.S.;Li, Y.;Chan, H.C.
    • Structural Engineering and Mechanics
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    • v.6 no.5
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    • pp.517-527
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    • 1998
  • This paper describes an exact method of analysis for natural vibration of diagonal networks by considering an equivalent cyclic periodic structure and adopting the double U-transformation technique. Both a lumped mass system and a distributed mass system are considered to investigate the diagonal networks. The exact solution for the frequency equations and the natural modes of the networks can be derived. As numerical examples, square diagonal cable networks with different meshes are worked out.

A Study on the Information Exchange Technology Between IEDs Using SOAP in Network Based SA System (네트워크 기반 자동화 변전소에서 SOAP을 이용한 IED간 정보교환 기술 연구)

  • Ko, Yun-Seok
    • Proceedings of the KIEE Conference
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    • 2006.07a
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    • pp.139-140
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    • 2006
  • In this paper, autonomous information exchange methodology is studied between IEDS using SOAP protocol based on XML and PtP communication. Inference-based solution of the IED identifies the faulted zone autonomously from free information exchange among IEDs, transmits the operation information to the above SCADA system, also determines whether it executes or not for commands from the above SCADA. Finally, Inference-based solution is implemented using MS Visual C++ MFC, MS SOAP and MS XML. Availability and accuracy of the design is verified from simulation reviews for typical distribution substation.

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