• 제목/요약/키워드: Linearized equation

검색결과 218건 처리시간 0.026초

유압 제어계에서 서보밸브 모델링을 위한 새로운 선형화 방정식의 제안 (A New Linearized Equation for Modelling a Servovalve in Hydraulic Control Systems)

  • 김태형;이일영
    • 대한기계학회논문집A
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    • 제27권5호
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    • pp.789-797
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    • 2003
  • In the procedure of the hydraulic control system design, a linearized approximate equation described by the first order terms of Taylor series has been widely used. Such a linearized equation is effective just near the operating point, However, pressure and flowrate in actual hydraulic systems are usually not confined near an operating point. This study suggests a new linearized flow equation for a servovalve as a modified form of the conventional linearized flow equation. Subsequently, a procedure to determine effective operating point for the new linearized equation is proposed. From the evaluations of time responses and frequency responses obtained from simulations for a hydraulic control system, the effectiveness of the new linearized equation and the procedure to determine effective operating point is confirmed.

CFD/CAA Hybrid 기법을 이용한 뒷전에서 음향파의 산란모사 (Simulation of Trailing Edge Scattering Using Linearized Euler Equations with Source terms)

  • 박용환;빈종훈;정철웅;이수갑
    • 한국항공우주학회지
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    • 제33권7호
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    • pp.18-25
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    • 2005
  • 본 연구에서는 뒷전, 전단류와 초기교란의 상호작용에 의한 불안정파의 생성 기제의 분석과 뒷전 산란현상을 고차의 전산공력음향학을 이용하여 모사하였다. 수치적 알고리즘은 Hybrid 기법에 기초하였으며, Simple Linearized Euler Equation과 Full Linearized Euler Equation의 결과를 비교를 통해 정상류 구배항이 불안정파의 생성에 중요한 역할을 함을 볼 수 있었다. 또한 Full Navier-Stokes Equation을 이용한 결과와 비교함으로써, Full Linearized Euler Equation은 뒷전의 초기 근접장에서 불안정파를 해석하는데 있어서 Full Navier-Stokes Equation 보다 효율적임을 알 수 있다.

유압 서보 제어계에서 밸브 선형화 방정식의 오차 평가 (Error Evaluation of the Linearized Equation of Servo Valve in Hydraulic Control Systems)

  • 김태형;이일영
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집A
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    • pp.501-506
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    • 2001
  • In the procedure of the hydraulic control system analysis, a linearized approximate equation described by the first order term of Taylor's series has been widely used. Such a linearized equation is effective just near the operating point. In this study, the authors estimate computational errors in the process of applying the existing linearized equation stated above. For evaluating the computational accuracy in practical applications of the linearized equations, dynamic behaviors of hydraulic control systems are investigated through simulations with several kinds of representative hydraulic systems and the linearized equations suggested in this study.

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유압 제어계에서 서보밸브 선형화 방정식의 오차 평가 (Error Evaluation of Linearized Equation for a Servovalve in Hydraulic Control Systems)

  • 김태형;이일영
    • 대한기계학회논문집A
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    • 제27권5호
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    • pp.779-788
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    • 2003
  • This study evaluates the approximation errors of the existing linearized equation for a servovalve nonlinear flowrate characteristic. At first, the errors are evaluated on flowrate/pressure characteristics diagrams. Subsequently, they are investigated with time response simulation results for several hydraulic control systems. To enable systematic evaluation of computational error, the authors propose three kinds of equations with restructured forms of the existing linearized equation. As results of the evaluations, it is ascertained that comparatively good computational accuracy can be achieved with the existing linearized equation when both an operating point for the linearized equation and operating range of the hydraulic system stay near the flowrate axis of the flowrate/pressure characteristics diagram. In addition, the results show that comparatively big computational error may occur when operating range of a hydraulic system stay apart from the flowrate axis of the flowrate/pressure characteristics diagram.

A LINEARIZED FINITE-DIFFERENCE SCHEME FOR THE NUMERICAL SOLUTION OF THE NONLINEAR CUBIC SCHRODINGER EQUATION

  • Bratsos, A.G.
    • Journal of applied mathematics & informatics
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    • 제8권3호
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    • pp.683-691
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    • 2001
  • A linearized finite-difference scheme is used to transform the initial/boundary-value problem associated with the nonlinear Schrodinger equation into a linear algebraic system. This method is developed by replacing the time and the nonlinear term by an appropriate parametric linearized scheme based on Taylor’s expansion. The resulting finite-difference method is analysed for stability and convergence. The results of a number of numerical experiments for the single-soliton wave are given.

A PARAMETRIC SCHEME FOR THE NUMERICAL SOLUTION OF THE BOUSSINESQ EQUATION

  • Bratsos, A.G.
    • Journal of applied mathematics & informatics
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    • 제8권1호
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    • pp.45-57
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    • 2001
  • A parametric scheme is proposed for the numerical solution of the nonlinear Boussinesq equation. The numerical method is developed by approximating the time and the space partical derivatives by finite-difference re placements and the nonlinear term by an appropriate linearized scheme. The resulting finite-difference method is analyzed for local truncation error and stability. The results of a number of numerical experiments are given for both the single and the double-soliton wave. AMS Mathematics Subject Classification : 65J15, 47H17, 49D15.

3상유도전동기의 백터제어시 선형화 기법 (Linearized Control of Three Phase Induction Motor by Vector Control)

  • 한석우;마영호;박준국;최규하;김한성
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1991년도 하계학술대회 논문집
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    • pp.637-640
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    • 1991
  • In this paper deals with linearized control of induction motor by vector control. Output equation induced from d-q axies voltage and current equation of induction moter. The condition of induced equation is that rotor's current of axies has 0 and state current of D axies which was driven by synchronous speed is constant. The fully digital controlled induction motor drive system based on the proposed linearized method and the control circuit of system consists of 16bits micro computer and all the function are implemented with software. When the voltage source inverter control with PI controller is empolyed, in spite of secondary resistance Rr Variation, the Vector control condition is satisfied.

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Brinkman Penalization Method를 통한 복잡한 3D 형상 주위의 음향 전파 연구 (COMPUTATION OF SOUND SCATTERING IN 3D COMPLEX GEOMETRY BY BRINKMAN PENALIZATION METHOD)

  • 이소현;이진범;김종욱;문영준
    • 한국전산유체공학회지
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    • 제17권4호
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    • pp.103-109
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    • 2012
  • Sound scattering in 3D complex geometry is difficult to model with body-fitted grid. Thus Brinkman Penalization method is used to compute sound scattering in 3D complex geometry. Sound propagation of monitor/TV is studied. The sound field for monitor/TV is simulated by applying Brinkman Penalization method to Linearized Euler Equation. Solid Structure and ambient air are represented as penalty terms in Linearized Euler Equation.

관측기관을 이용한 유도전동기의 센서리스 속도제어 (Sensorless Speed Control of Induction Motor Using Observation Technique)

  • 이충환
    • Journal of Advanced Marine Engineering and Technology
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    • 제23권1호
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    • pp.96-102
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    • 1999
  • Sensorless speed estimation in induction motor systems is one of the most control engineers. Based on the estimated speed the vector control has been applied to the high precision torque control however most speed estimation methods use adaptive scheme so that it takes long time to estimate the speed. Thus the adaptive estimation scheme is not effective to the induction motor which requires short sampling time. In this paper a new linearized equation of induction motor system is proposed and a sensorless speed estimation algorithm based on observation techniques is developed. First the nonlinear induction motor equation is linearized at an equilibrium point. Second a proportional integral(PI) observer is applied to estimate the speed state in the induction motor system. Finally simulation results will assure the effectiveness of the new linearized equation and the sensorless estimation algorithm by using PI observer in the nonlinear induction motor system.

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압축성 이상(二相) 충격파관 문제에 대한 엄밀 리만해법 (EXACT RIEMANN SOLVERS FOR COMPRESSIBLE TWO-PHASE SHOCK TUBE PROBLEMS)

  • 염금수;장근식
    • 한국전산유체공학회지
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    • 제15권3호
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    • pp.73-80
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    • 2010
  • In this paper, we present the exact Riemann solver for the compressible liquid-gas two-phase shock tube problems. We hereby consider both isentropic and non-isentropic two-phase flows. The shock tube has a diaphragm in the mid-section which separates the liquid medium on the left and the gas medium on the right. By rupturing the diaphragm, various waves are observed on the phasic field variables such as pressure, density, temperature and void fraction in the form of rarefaction wave, shock wave and material interface (contact discontinuity). Both phases are treated as compressible fluids using the linearized equation of state or the stiffened-gas equation of state. We solve several shock tube problems made of a high/low pressure in the liquid and a low/high pressure in the gas. The wave propagations are well resolved by the exact Riemann solutions.