• Title/Summary/Keyword: Describing Function

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ASYMPTOTIC ANALYSIS OF THE LOSS PROBABILITY IN THE GI/PH/1/K QUEUE

  • Kim Jeong-Sim
    • Journal of applied mathematics & informatics
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    • v.22 no.1_2
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    • pp.273-283
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    • 2006
  • We obtain an asymptotic behavior of the loss probability for the GI/PH/1/K queue as K tends to infinity when the traffic intensity p is strictly less than one. It is shown that the loss probability tends to 0 at a geometric rate and that the decay rate is related to the matrix generating function describing the service completions during an interarrival time.

Analysis on a Saturating System with an Intelligent Limiter (지능적인 제한기를 갖는 포화 시스템에 관한 해석)

  • Yang, Sang-Sik;Hong, Suk-Kyo
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.40 no.4
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    • pp.417-426
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    • 1991
  • All mechanical systems have saturation nonlinearity in actuators or in final control elements. When controllers have an integral action, reset windup can cause instability as well as make the system performance unsatisfacdtory. This paper presents an analysis of the stability of the control system with antireset-windup limiter, called intelligent limiter, using the describing function method. The responses of the system with this limiter are illustrated by computer simulation.

Non-Linear Model of Voltage Source Power Converter and Tuning Current controller (전압형 전력 변환기 비선형 모델 및 전류제어기 조정)

  • Park, Sang-Young
    • Proceedings of the KIEE Conference
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    • 1998.11a
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    • pp.144-146
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    • 1998
  • In this study Dead time equivalent resistance of Voltage source power converter is very important in current controller design. And Non-linear Modeling method can be applied in Power converter analysis. Using Describing Function method and Non-linear Resistance Modeling. Voltage Source Power Converter Bode diagram and Current controller analysis method are more reality.

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Steady State Analysis & Small Signal Modeling of Variable Duty Cycle Controlled Three Level LLC Converter (듀티 제어가 적용된 3레벨 LLC 컨버터의 정상상태 및 소신호 모델링)

  • Humaira, Hussain;Kim, Hag-Wone;Cho, Kwan-Yuhl
    • Proceedings of the KIPE Conference
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    • 2019.07a
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    • pp.317-319
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    • 2019
  • In this paper, a three level duty cycle controlled half bridge LLC converter for EV charger application is presented. The topology and operating regions of the converter are discussed. The equations of the converter are derived in time domain. A small signal model of the converter is developed by perturbation and linearization of the steady state model about their operating point using Extended Describing function.

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Improved Implementation of Interlock Using Management Step Described by SFC (SFC로 기술된 매니지먼트 스텝에 의한 개선된 인터록의 실현)

  • You, Jeong-Bong
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.19 no.3
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    • pp.127-133
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    • 2005
  • Programmable Logic Controller(PLC) is the most widely utilized and plays an important role in industrial control system. The study about a PLC language is performed actively. Ladder Diagram(ID) is the most widely used in PLC. In is not suitable for describing a complex sequential logic and is very difficult to grasp the sequential flow of control logic and has the disadvantage for a maintenance. On the other hand, Sequential Function Chart(SFC) is very easy to grasp the sequential flow of control logic and has the compatability for a maintenance but has the disadvantage for describing a condition and a interlock logic. In this paper, we propose the method that describe the interlock logic using management step, and confirm his feasibility through a actual examples.

Explicit and Closed-form Expressions Describing Magnetic Behaviors of The First-Order Uniaxial Magnetic Materials (1차 비등방성 단자구 자성체의 자기행동을 기술하는 닫힌형태의 양함수들)

  • Hur, Jeen;Shin, Sung-Chul
    • Journal of the Korean Magnetics Society
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    • v.8 no.2
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    • pp.49-56
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    • 1998
  • Explicit and closed-form expressions describing magnetic behaviors of uniaxial magnetic materials are derived. Explicit and closed-form expressions for magnetic torque, magnetization orientation, and thier derivative functions with respect to the intensity and the orientation of an applied field. Those explicit expressions could give elegant mehtods of measuring magnetic anisotropy and saturation magnetization by the least squre fitting. In addition, on could use them to study the distribution function of magnetic propeties of a non-interacting magnetic aggregate.

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Thermoacoustic Analysis Model for Combustion Instability Prediction - Part 2 : Nonlinear Instability Analysis (연소 불안정 예측을 위한 열음향 해석 모델 - Part 2 : 비선형 안정성 해석)

  • Kim, Daesik;Kim, Kyu Tae
    • Journal of the Korean Society of Propulsion Engineers
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    • v.16 no.6
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    • pp.41-47
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    • 2012
  • It is very important to predict the nonlinear behavior of combustion instability such as transition phenomena and limit cycle amplitude for fully understanding and controlling the instabilities. These nonlinear instability characteristics are highly dependent upon the flames' nonlinear dynamics in a gas turbine premixed combustor. In this study, nonlinear instability TA(Thermo-acoustic) models were introduced by applying the concept of flame describing function to the thermoacoustic analysis method. As a result of model development, for a given combustor length, the growth rate of instability was greatly affected by the change in amplitude, although the instability frequency was not. Further researches under various operating conditions and model validation on limit cycle amplitude are required.

Function space formulation of the 3-noded distorted Timoshenko metric beam element

  • Manju, S.;Mukherjee, Somenath
    • Structural Engineering and Mechanics
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    • v.69 no.6
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    • pp.615-626
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    • 2019
  • The 3-noded metric Timoshenko beam element with an offset of the internal node from the element centre is used here to demonstrate the best-fit paradigm using function space formulation under locking and mesh distortion. The best-fit paradigm follows from the projection theorem describing finite element analysis which shows that the stresses computed by the displacement finite element procedure are the best approximation of the true stresses at an element level as well as global level. In this paper, closed form best-fit solutions are arrived for the 3-noded Timoshenko beam element through function space formulation by combining field consistency requirements and distortion effects for the element modelled in metric Cartesian coordinates. It is demonstrated through projection theorems how lock-free best-fit solutions are arrived even under mesh distortion by using a consistent definition for the shear strain field. It is shown how the field consistency enforced finite element solution differ from the best-fit solution by an extraneous response resulting from an additional spurious force vector. However, it can be observed that when the extraneous forces vanish fortuitously, the field consistent solution coincides with the best-fit strain solution.

Analysis of Geometric Parameters for Fully Developed Laminar Flow Between Cylinders Arranged in Regular Array (정규배열내의 실린더 사이에서의 완전발달된 층류 유동의 기하학적 계수의 해석)

  • 이동렬
    • Journal of Advanced Marine Engineering and Technology
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    • v.25 no.5
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    • pp.1037-1049
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    • 2001
  • Considerable interest has evolved in the flow of non-Newtonian fluids in channels of noncircular cross section in compact heat exchanges. Analytical solution was developed for prediction of the flow rate and maximum velocity in steady laminar flow of any incompressible, time-independent non-Newtonian fluids in straight closed and open channels of arbitrary, but axially unchanging cross section. The geometric parameters and function of shear describing the behavior of the fluid model were evaluated for fluid flow among a bundle of rods arranged in triangular and square array. Numerical values of dimensionless maximum velocities, mean velocities, pressure-drop-flow parameters and friction factors were evaluated as a function of porosity and pitch-to-radius ratio.

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Fatigue Life Prediction of Fiber-Reinforced Composite Materials having Nonlinear Stress/Strain Behavior (비선형 변형 거동을 갖는 섬유강화 복합재료의 피로수명 예측)

  • 이창수;황운봉
    • Composites Research
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    • v.12 no.4
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    • pp.1-7
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    • 1999
  • Fatigue life prediction of matrix dominated composite laminates, which have a nonlinear stress/strain response, was studied analytically and experimentally. A stress function describing the relation of initial fatigue modulus and elastic modulus was used in order to consider the material nonlinearty. New modified fatigue life prediction equation was suggested based on the fatigue modulus and reference modulus concept as a function of applied stress. The prediction was verified by torsional fatigue test using crossply carbon/epoxy laminate tubes. It was shown that the proposed equation has wide applicability and good agreement with experimental data.

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