• Title/Summary/Keyword: Phase Equation

Search Result 1,219, Processing Time 0.025 seconds

Katayama Equation Modified on the Basis of Critical-Scaling Theory (임계 축척 이론을 이용한 카타야마 식의 수정)

  • Lim, Kyung-Hee
    • Journal of the Korean Applied Science and Technology
    • /
    • v.23 no.3
    • /
    • pp.185-191
    • /
    • 2006
  • It is desirable to have an accurate expression on the temperature dependence of surface(or interfacial) tension ${\sigma}$, because most of the interfacial thermodynamic functions can be derived from it. There have been proposed several equations on the temperature dependence of the surface tension, ${\sigma}(T)$. Among them $E{\ddot{o}}tv{\ddot{o}}s$ equation and the one modified by Katayama, which is called Katayama equation, for improving accuracies of $E{\ddot{o}}tv{\ddot{o}}s$ equation close to critical points, have been most well-known. In this article Katayama equation is interpreted on the basis of the cell model to understand the nature of the equation. The cell model results in an expression very similar to Katayama equation. This implies that, although $E{\ddot{o}}tv{\ddot{o}}s$ and Katayama equations were obtained on the basis of experimental results, they have a sound theoretical background. The Katayama equation is also modified with the phase volume replaced with a critical scaling expression. The modified Katayama equation becomes a power-law equation with the exponent slightly different from the value obtained by critical-scaling theory. This implies that Katayama equation can be replaced by a critical-scaling equation which is proven to be accurate.

Inductance Consideration of Reluctance Synchronous Motor (동기릴럭턴스전동기(RSM) 인덕턴스 고찰)

  • 오성업;김민태;백동기;신기택;성세진
    • Proceedings of the KIPE Conference
    • /
    • 1998.07a
    • /
    • pp.208-211
    • /
    • 1998
  • A phase winding of RSM is excited and measured the excited winding inductance, mutual inductance. Ld and Lq is calculated from the measurement result. Two rotors are manufactured for this paper, measured their inductance and compared the calculated equation with the conventional equation. This paper confirmed the effectiveness of the proposed method.

  • PDF

THREE-DIMENSIONAL NUMERICAL SIMULATIONS OF A PHASE-FIELD MODEL FOR ANISOTROPIC INTERFACIAL ENERGY

  • Kim, Jun-Seok
    • Communications of the Korean Mathematical Society
    • /
    • v.22 no.3
    • /
    • pp.453-464
    • /
    • 2007
  • A computationally efficient numerical scheme is presented for the phase-field model of two-phase systems for anisotropic interfacial energy. The scheme is solved by using a nonlinear multigrid method. When the coefficient for the anisotropic interfacial energy is sufficiently high, the interface of the system shows corners or missing crystallographic orientations. Numerical simulations with high and low anisotropic coefficients show excellent agreement with exact equilibrium shapes. We also present spinodal decomposition, which shows the robustness of the pro-posed scheme.

Sensorless Control of PWM Converter Using Extended Kalman Filter (확장 칼만 필터를 이용한 PWM 컨버터 센서리스 제어기법)

  • 허승민;강구배;남광희
    • Proceedings of the KIPE Conference
    • /
    • 1999.07a
    • /
    • pp.671-674
    • /
    • 1999
  • In the PWM converter, PLL(Phase Locked Loop) is usually used as a tool which senses the angle of input voltage. This is sensitive to nois and needs additional hardware. In this work, we propose a sensorless control scheme of PWM converter using EKF(Extended Kalman Filter). EKF estimates a phase angle of input voltage from nonlinear state equation using measured phase currents. We control power factor and DC-link voltage utilizing the estimated phase angle. We demonstrate the effectiveness of the proposed estimation algorithm through simulations.

  • PDF

Fast linear-phase FIR filter for adaptive signal processing (적응 신호 처리를 위한 고속 선형 위상 FIR 필터)

  • 최승진;이철희;양홍석
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1988.10a
    • /
    • pp.172-177
    • /
    • 1988
  • In this paper, a new fast algorithm of FIR least squares filter with linear phase is presented. The general unknown statistics case is considered, whereby only sample records of the data are available. Taking advantage of the near-to-Toeplitz+Hankel structure of the resulting normal equation, a fast algorithm which gurantees the linear phase constraint, is developed that recursively produces the filter coefficient of linear phase FIR filter for a single block of data.

  • PDF

Phase change on reflection considered of the polarization in white-light interferometer (백색광 주사 간섭계에서 편광을 고려한 반사시 위상 변화)

  • 김영식;김승우
    • Proceedings of the Korean Society of Precision Engineering Conference
    • /
    • 2003.06a
    • /
    • pp.276-279
    • /
    • 2003
  • The phase change upon reflection from target surfaces in white-light interferometer induces measurement errors when target surfaces are composed of dissimilar materials. We prove that this phase change on reflection considered of the polarization of the white-light causes the shift of both envelope peak position and fringe peak position of several tens of nanometer. In addition, we propose a new equation of white-light interference fringe pertinent to the polarization of source.

  • PDF

A Study on Torque and Speed Control of Three Phase Induction Motor (3상(相) 유도전동기(誘導電動機)의 토크 및 속도제어(速度制御)에 관한 연구(硏究))

  • Choi, K.H.;Jeong, S.K.;Yang, J.H.
    • Journal of Fisheries and Marine Sciences Education
    • /
    • v.7 no.1
    • /
    • pp.111-126
    • /
    • 1995
  • In general, the electromagnetic transient phenomenon always exists in induction motor(IM) with the torque change. The control performance of IM is very worse than that of D.C motor owing to this transient phenomenon. So many studies about the elimination methods of the transient phenomenon have been making progress. Interesting methods of them are the Field acceleration method(FAM) and the method of impulse addition on the input voltage at the time point of torque change. In this paper, first, the circuit equation of IM is derived from the phase segregation method. The torque equation consisted of the stator and rotor currents is derived from the solving of the circuit equation. As we well known, the transient terms exist in this the torque equation. The method of impulse addition on the input voltage at the instance of torque change is confirmed theoretically for the elimination of the transient phenomenon. With the base on it, the author proposed a real time algorithm to eliminate the transient terms. The control system is consisted of the PI controller with the feedforward of torque change. The author could confirm that the quick stepwise responses of torque and speed can be obtained from response simulations.

  • PDF

A Boundary Diffusion Creep Model for the Plastic Deformation of Grain Boundary Phase of Nanocrystalline Materials (나노재료 입계상의 소성변형에 대한 입계확산크립 모델)

  • 김형섭;오승탁;이재성
    • Transactions of Materials Processing
    • /
    • v.10 no.5
    • /
    • pp.383-388
    • /
    • 2001
  • In describing the plastic deformation behaviour of ultrafine-grained materials, a phase mixture model in which a polycrystalline material is regarded as a mixture of a crystalline phase and a grain boundary phase has been successful. The deformation mechanism for the grain boundary phase, which is necessary for applying the phase mixture model to polycrystalline materials, is modelled as a diffusional flow of matter along the grain boundary. A constitutive equation for the boundary diffusion creep of the boundary phase was proposed, in which the strain rate is proportional to (stress/grain siz $e^{2}$). The upper limit of the stress of the boundary phase was set to equal to the strength to the amorphous phase. The proposed model can explain the strain rate and grain size dependence of the strength of the grain boundary phase. Successful applications of the model compared with published experimental data are described.

  • PDF

BIFURCATIONS IN A DISCRETE NONLINEAR DIFFUSION EQUATION

  • Kim, Yong-In
    • Bulletin of the Korean Mathematical Society
    • /
    • v.35 no.4
    • /
    • pp.689-700
    • /
    • 1998
  • We consider an infinite dimensional dynamical system what is called Lattice Dynamical System given by a discrete nonlinear diffusion equation. By assuming the nonlinearity to be a general nonlinear function with mild restrictions, we show that as the diffusion parameter changes the stationery state of the given system undergoes bifurcations from the zero state to a bounded invariant set or a 3- or 4-periodic state in the global phase space of the given system according to the values of the coefficients of the linear part of the given nonlinearity.

  • PDF

Chaotic behavior analysis in the mobile robot of embedding some chaotic equation with obstacle

  • Bae, Youngchul;Kim, Juwan;Kim, Yigon
    • Journal of the Korean Institute of Intelligent Systems
    • /
    • v.13 no.6
    • /
    • pp.729-736
    • /
    • 2003
  • In this paper, we propose that the chaotic behavior analysis in the mobile robot of embedding some chaotic such as Chua`s equation, Arnold equation with obstacle. In order to analysis of chaotic behavior in the mobile robot, we apply not only qualitative analysis such as time-series, embedding phase plane, but also quantitative analysis such as Lyapunov exponent In the mobile robot with obstacle. We consider that there are two type of obstacle, one is fixed obstacle and the other is VDP obstacle which have an unstable limit cycle. In the VDP obstacles case, we only assume that all obstacles in the chaos trajectory surface in which robot workspace has an unstable limit cycle with Van der Pol equation.