• Title/Summary/Keyword: Variable Step

Search Result 803, Processing Time 0.032 seconds

Finite Element Solution of Ordinary Differential Equation by the Discontinuous Galerkin Method (불연속 갤러킨 방법에 의한 상미분방정식의 유한요소해석)

  • 김지경
    • Computational Structural Engineering
    • /
    • v.6 no.4
    • /
    • pp.83-88
    • /
    • 1993
  • A time-discontinuous Galerkin method based upon using a finite element formulation in time has evolved. This method, working from the differential equation viewpoint, is different from those which have been generally used. They admit discontinuities with respect to the time variable at each time step. In particular, the elements can be chosen arbitrarily at each time step with no connection with the elements corresponding to the previous step. Interpolation functions and weighting functions are taken to be discontinuous across inter-element boundaries. These methods lead to a unconditional stable higher-order accurate ordinary differential equation solver.

  • PDF

The constant current of LPM on variable microstep (미세 스텝 변화에 따른 LPM의 정전류제어)

  • Baek, Soo-Hyun;Youn, Shin-Yong;Im, Tae-Bin;Kim, Cherl-Jin;Ha, Keun-Soo
    • Proceedings of the KIEE Conference
    • /
    • 1996.07a
    • /
    • pp.148-150
    • /
    • 1996
  • This paper describes method of microstepping current control for linear pulse moor. The control method witch electrically subdivides 1 step of a LPM 125 micro step is realized using micro-step algorithm. The resolution of the system for microstepping is improved also by microstep control of driving current, which is followed by the increase of microstep subdivision coefficient, the precise position and velocity control of LPM can be realized and stabilization of the system is improved.

  • PDF

Study on Pulling-Into-Step of Induction Synchronous Motor (유도동기전동기의 동기화 한계에 관한 연구)

  • 박민호;홍순찬
    • 전기의세계
    • /
    • v.24 no.2
    • /
    • pp.78-83
    • /
    • 1975
  • There are many studies recently, on a wound rotor induction motor operation as synchronous rotating speed, and such an induction motor is so called an induction synchronous motor. In above desciption the region of pull into-step that the wound rotor induction motor as a synchronous motor has not been calculated. This paper deals with such a region. Generally, induction synchronous motor is different from a synchronous motor in many respects. In considering these respects, characteristic equations of motion for this motor are induced adoption small signal linearization, continuous quasili-nearization and state variable grouping technique. For pulling-into-step of Induction Synchronous Motor, we first analyze these equations with digital computer and compare the former with datas calculated by motor experimentation.

  • PDF

Natural Frequencies and Mode Shapes of Beams with Step Change in Cross-Section

  • Kim, Yong-C.;Nam, Alexander V.
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
    • /
    • 2003.10a
    • /
    • pp.152-157
    • /
    • 2003
  • Natural frequencies of the transνerse vibration of beams with step change in cross-section are obtained by using the asymptotic closed form solution. This closed form solution is found by using WKB method under the assumption of slowly varying properties, such as mass, cross-section, tension etc., along the beam length. However, this solution is found to be still very accurate even in the case of large variation in cross-section and tension. Therefore, this result can be easily applied to many engineering problems.

  • PDF

A FAST AND ACCURATE NUMERICAL METHOD FOR MEDICAL IMAGE SEGMENTATION

  • Li, Yibao;Kim, Jun-Seok
    • Journal of the Korean Society for Industrial and Applied Mathematics
    • /
    • v.14 no.4
    • /
    • pp.201-210
    • /
    • 2010
  • We propose a new robust and accurate method for the numerical solution of medical image segmentation. The modified Allen-Cahn equation is used to model the boundaries of the image regions. Its numerical algorithm is based on operator splitting techniques. In the first step of the splitting scheme, we implicitly solve the heat equation with the variable diffusive coefficient and a source term. Then, in the second step, using a closed-form solution for the nonlinear equation, we get an analytic solution. We overcome the time step constraint associated with most numerical implementations of geometric active contours. We demonstrate performance of the proposed image segmentation algorithm on several artificial as well as real image examples.

An INS Filter Design Considering Mixed Random Errors of Gyroscopes

  • Seong, Sang-Man;Kang, Ki-Ho
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 2005.06a
    • /
    • pp.262-264
    • /
    • 2005
  • We propose a filter design method to suppress the effect of gyroscope mixed random errors at INS system level. It is based on the result that mixed random errors can be represented by a single equivalent ARMA model. At first step, the time difference of equivalent ARMA process is performed, which consider the characteristic of indirect feedback Kalman filter used in INS filter. Next, a state space conversion of time differenced ARMA model is achieved. If the order of AR is greater than that of MA, the controllable or observable canonical form is used. Otherwise, we introduce the state equation of which the state variable is composed of the ARMA model output and several step ahead predicts of that. At final step, a complete form state equation is presented. The simulation results shows that the proposed method gives less transient error and better convergence compared to the conventional filter which assume the mixed random errors as white noise.

  • PDF

Optimal Design of Multi-Step Current Leads Using HTS Tapes (고온초전도 테이프를 이용한 다단 전류 도입선의 최적설계)

  • 김민수;나필선;설승윤
    • Proceedings of the Korea Institute of Applied Superconductivity and Cryogenics Conference
    • /
    • 2001.02a
    • /
    • pp.84-88
    • /
    • 2001
  • The optimum cross-sectional area Profile of gas-cooled high-temperature superconductor (HTS) current lead is analyzed to have minimum helium boil-off rate. The conventional constant area HTS lead has much higher helium consumption than the optimum HTS lead considered in this study. The optimum HTS lead has variable cross-sectional area to have constant safety factor. An analytical formula of optimum shape of lead and temperature profile are obtained. For multi-step HTS current leads, the optimum tape lengths and minimum heat dissipation rate are also formulated. The developed formulations are applied to the Bi-2223 material, and the differences between constant area, constant safety-factor, and multi-step current leads are discussed.

  • PDF

Numerical study on in-cylinder flow of a reciprocating engine using a fractional step method (Fractional step method를 이용한 엔진내부유동의 수치해석)

  • Lee, Byoung-Seo;Kong, Ho-Jin;Lee, Joon-Sik;Yoo, Jung-Yul
    • Proceedings of the KSME Conference
    • /
    • 2000.11b
    • /
    • pp.745-750
    • /
    • 2000
  • A numerical code which can simulate unsteady, incompressible and 3-dimensional flows in an engine cylinder has been developed. The governing equations based on the cylindrical coordinate are discretized by the finite volume method with staggered variable arrangements. A geometric conservation rule is also incorporated into the simulation code in order to deal with a moving boundary problem. For the unsteady simulation, a fractional step method is adopted. The law of wall is applied to the wall boundaries and standard $k-\;{\varepsilon}$ model is used to describe the in-cylinder turbulent flow. The model cylinder has one eccentric port, flat piston and flat cylinder-head. The comparisons with experimental data show fairly well qualitative agreement.

  • PDF

A position control of step motor with minimum time sliding surface (최단시간 슬라이딩 면에 의한 스텝모터의 위치제어)

  • You, Wan-Sik;Park, Hyung-Nam;Kim, Yeong-Seok
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.1 no.2
    • /
    • pp.99-104
    • /
    • 1995
  • For the robust control, sliding mode control has gained a great attention. Sliding mode control has the good robustness, because it makes the state of system reach the origin of the state space, by a varying the structure of system on the sliding surface. The slope of sliding surface affects to the control performance. If it is small, robustness is increased at the expense of reaching time. On the contrary, if it is large, reaching time is decreased at the expense of robustness and overshoot. In this paper, to design the optimal sliding surface, optimal control theory is introduced. To confirm the validity of the proposed method, the position control of step motor is implemented.

  • PDF

A Study on the tracking control of a robot manipulator using variable structure systems (I) (가변구조 이론에 의한 로보트 팔의 추종제어에 관한 연구 (I))

  • Lee, Jin-Kul
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.2 no.1
    • /
    • pp.41-52
    • /
    • 1985
  • This study is a step in developing the sliding mode control methodology for the robust control of a class of nonlinear time-varying systems. The methodology uses in its idealized form piecewise continuous feedback control, resulting in the state trajectory "sliding" slong a time-varying sliding surface in the state space. This idealized control law achieves perfect tracking. The method is applied to the control of a two-link manipulator handling variable loads in a flexible manufacturing system environment with noise. The result through simulation is that the tracking problem of articular robot with high precision can be realized by using the variable structure system (VSS) theory. The motions of articular robot were insensitive to various payloads. payloads.

  • PDF