• 제목/요약/키워드: system of discrete equations

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Parameter design of an hydraulic track motor system

  • Um, Taijoon
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국제학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.208-211
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    • 1993
  • This paper presents the parameter design method for the desired time response of hydraulic track motor system of an industrial excavator. The dynamic response depends upon many component parameters such as motor displacement, spring constant and various valve coefficients. Most of them are to be determined to obtain the desired response while some parameters are fixed, or discrete for the off-the-shelf type components. The parameters might be selected through repeated simulations of the system once the system is mathematically represented. This paper, however, presents optimization technique to select two parameters using a parameter optimization technique. The variational approach is applied to the system equations which are represented as state equations and from those system equations derived are the adjoint equations. The gradients for each parameter also are formed for the iterations.

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공급사슬시뮬레이션을 위한 이산-연속 모델링 방법에 관한 연구 (A Study on Discrete-Continuous Modeling Methodology for Supply Chain Simulation)

  • 김서진;이영해
    • 한국시뮬레이션학회:학술대회논문집
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    • 한국시뮬레이션학회 2000년도 추계학술대회 논문집
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    • pp.142-149
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    • 2000
  • Most of supply chain simulation models have been developed on the basis of discrete-event simulation. Since supply chain systems are neither completely discrete nor continuous, the need of constructing a model with aspects of both discrete-event simulation and continuous is provoked, resulting in a combined discrete-continuous simulation. Continuous simulation concerns the modeling over time of a system by a representation in which the state variables change continuously with respect to time. In this paper, an architecture of combined modeling for supply chain simulation is proposed, which presents the equation of continuous part in supply chain and how these equations are used supply chain simulation models. A simple supply chain model is demonstrated the possibility and the capability of this approach.

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EFFICIENT AND ACCURATE FINITE DIFFERENCE METHOD FOR THE FOUR UNDERLYING ASSET ELS

  • Hwang, Hyeongseok;Choi, Yongho;Kwak, Soobin;Hwang, Youngjin;Kim, Sangkwon;Kim, Junseok
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제28권4호
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    • pp.329-341
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    • 2021
  • In this study, we consider an efficient and accurate finite difference method for the four underlying asset equity-linked securities (ELS). The numerical method is based on the operator splitting method with non-uniform grids for the underlying assets. Even though the numerical scheme is implicit, we solve the system of discrete equations in explicit manner using the Thomas algorithm for the tri-diagonal matrix resulting from the system of discrete equations. Therefore, we can use a relatively large time step and the computation of the ELS option pricing is fast. We perform characteristic computational test. The numerical test confirm the usefulness of the proposed method for pricing the four underlying asset equity-linked securities.

FDDO를 이용한 실린더를 지나는 희박기체의 해석 (A Numerical Analysis of Rarefied Flow of Cylinder Using FDDO)

  • 안무영;장근식
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1998년도 춘계 학술대회논문집
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    • pp.138-144
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    • 1998
  • The BGK equation, which is the kinetic model equation of Boltzmann equation, is solved using FDDO(finite difference with the discrete-ordinate method) to compute the rarefied flow of monatomic gas. Using reduced velocity distribution and discrete ordinate method, the scalar equation is transformed into a system of hyperbolic equations. High resolution ENO(Essentially Non-Oscillatory) scheme based on Harten-Yee's MFA(Modified Flux Approach) method with Strang-type explicit time integration is applied to solve the system equations. The calculated results are well compared with the experimental density field of NACA0012 airfoil, validating the developed computer code. Next. the computed results of circular cylinder flow for various Knudsen numbers are compared with the DSMC(Direct Simulation Monte Carlo) results by Vogenitz et al. The present scheme is found to be useful and efficient far the analysis of two-dimensional rarefied gas flows, especially in the transitional flow regime, when compared with the DSMC method.

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FINITE DIFFERENCE SCHEME FOR SINGULARLY PERTURBED SYSTEM OF DELAY DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS

  • SEKAR, E.;TAMILSELVAN, A.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제22권3호
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    • pp.201-215
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    • 2018
  • In this paper we consider a class of singularly perturbed system of delay differential equations of convection diffusion type with integral boundary conditions. A finite difference scheme on an appropriate piecewise Shishkin type mesh is suggested to solve the problem. We prove that the method is of almost first order convergent. An error estimate is derived in the discrete maximum norm. Numerical experiments support our theoretical results.

직렬형 FACTS 설비를 포함하는 전력시스템의 RCF 해석법에 기초한 감도해석 (Sensitivity Analysis of Power System Including Series FACTS Device Based on RCF Method)

  • 김덕영
    • 한국정보통신학회논문지
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    • 제15권3호
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    • pp.624-631
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    • 2011
  • 본 논문은 Exciter와 Power System Stabilizer(PSS)를 포함하는 발전기 제어장치와 싸이리스터에 의한 불연속 스위칭 동작을 하는 직렬형 Flexible AC Transmission System(FACTS) 설비인 Thyristor Controlled Static-var Compensator(TCSC)를 포함하는 전력계통의 고유치 해석과 안정도 개선을 위한 고유치 감도계수를 이산 시스템에서의 해석방법을 사용하여 해석하였다. 이산 시스템에서의 해석방법으로는 Resistive Companion Form(RCF) 해석법을 사용하였으며, 상태천이 방정식을 사용하여 감도해석에 필요한 계산 알고리즘을 제시하였고, 연속시스템에서의 해석결과와 비교하였다. TCSC의 스위칭 동작이 고려되지 않는 연속 시스템에서의 해석결과와 달리, 이산 시스템에서의 해석결과 스위칭 동작의 영향으로 제어기 정수에 대한 감도해석 결과가 일정한 방향성을 가지면서 주기적으로 변화하는 것을 알 수 있었다. 또한 중요 진동모드에 대한 제어기정수의 감도계수 값이 연속시스템에서의 해석결과와 달리 싸이리스터의 주기적 스위칭 동작에 의해 다른 값을 가지면서 주기적으로 진동하는 것을 알 수 있었다.

이산 칼만 필터를 이용한 구동 출력 토크 추정 (Driveline Output Torque Estimation Using Discrete Kalman Filter)

  • 김기우
    • 한국자동차공학회논문집
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    • 제20권4호
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    • pp.68-75
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    • 2012
  • This paper presents a study on the driveline output torque estimation using a discrete Kalman filter. The in-situ output shaft torque is first measured by a non-contacting magneto-elastic torque transducer. The linear state-space system equations are first derived and the discrete Kalman filter is designed based on the Kalman filter theory to recover the driveline output torque contaminated by random noises. In addition to using torque measurement, the estimation of the output torque using two angular velocities: the output and wheel, is also conducted. The experimental results show that the discrete Kalman filter can be effective for not only removing the random noise in output torque but also estimating the output torque without torque measurement.

FINITE ELEMENT APPROXIMATION OF THE DISCRETE FIRST-ORDER SYSTEM LEAST SQUARES FOR ELLIPTIC PROBLEMS

  • SHIN, Byeong-Chun
    • 대한수학회논문집
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    • 제20권3호
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    • pp.563-578
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    • 2005
  • In [Z. Cai and B. C. Shin, SIAM J. Numer. Anal. 40 (2002), 307-318], we developed the discrete first-order system least squares method for the second-order elliptic boundary value problem by directly approximating $H(div){\cap}H(curl)-type$ space based on the Helmholtz decomposition. Under general assumptions, error estimates were established in the $L^2\;and\;H^1$ norms for the vector and scalar variables, respectively. Such error estimates are optimal with respect to the required regularity of the solution. In this paper, we study solution methods for solving the system of linear equations arising from the discretization of variational formulation which possesses discrete biharmonic term and focus on numerical results including the performances of multigrid preconditioners and the finite element accuracy.

Steady State Optimal Control of Discrete Weakly Coupled Bilinear Systems

  • Kang, Hyun-Goo;Kim, Beom-Soo;Lim, Myo-Taeg
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.38.6-38
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    • 2001
  • This paper presents a steady state optimal control algorithm for the weakly coupled discrete time bilinearsystems. The optimal solution for the overall system is obtained by solving a sequence of reduced order algebraic Riccati equations with an arbitrary accuracy. The obtained solutions converge to the optimal solutions by using the iteration method. We verify the proposed method by applying it to a real world numerical example.

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직렬 미소채널 기체유장의 수치해석 (Numerical Analysis of Gas Flows in Microchannels in Series)

  • 정찬홍
    • 한국윤활학회:학술대회논문집
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    • 한국윤활학회 2004년도 학술대회지
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    • pp.221-231
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    • 2004
  • A kinetic theory analysis is made of low-speed gas flows in a microfluidic system consisted of three microchannels in series. The Boitzmann equation simplified by a collision model is solved by means of a finite difference approximation with the discrete ordinate method. For the evaluation of the present method results are compared with those from the DSMC method and an analytical solution of the Navier-Stokes equations with slip boundary conditions. Calculations are made for flows at various Knudsen numbers and pressure ratios across the channel. The results compared well with those from the DSMC method. It is shown that the analytical solution of the Navier-Stokes equations with slip boundary conditions which is suited fur fully developed flows can give relatively good results. In predicting the geometrically complex flows up to a Knudsen number of about 0.06. It is also shown that the present method can be used to analyze extremely low-speed flow fields for which the DSMC method is Impractical.

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