• Title/Summary/Keyword: quasi-steady state

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TRAVELING WAVES OF AN SIRS EPIDEMIC MODEL WITH SPATIAL DIFFUSION AND TIME DELAY

  • Du, Yanke;Xu, Rui
    • Journal of applied mathematics & informatics
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    • v.30 no.3_4
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    • pp.635-646
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    • 2012
  • This paper is concerned with an SIRS epidemic model with spatial diffusion and time delay representing the length of the immunity period. By using a new cross iteration scheme and Schauder's fixed point theorem, we reduce the existence of traveling wave solutions to the existence of a pair of upper-lower solutions. By constructing a newfashioned pair of upper-lower solutions, we derive the existence of a traveling wave solution connecting the uninfected steady state and the infected steady state.

The Development and Application of the Quasi-dynamic Wetness Index and the Dynamic Wetness Index (유사 동력학적 습윤지수와 동력학적 습윤지수의 개발과 적용)

  • Han, Ji-Young;Kim, Sang-Hyun;Kim, Nam-Won;Kim, Hyun-Jun
    • Journal of Korea Water Resources Association
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    • v.36 no.6
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    • pp.961-969
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    • 2003
  • Formulation of quasi-dynamic wetness index was derived to predict the spatial and temporal distribution of the soil moisture. The algorithm of dynamic wetness index was developed through introducing the convolution integral with the rainfall input. The spatial and temporal behaviors of the wetness index of the Sulmachun Watershed was calculated using the digital elevation model(DEM) and the rainfall data for two years. The spatial distribution of the dynamic wetness index shows most dispersive feature of flow generation among the three assumptions of steady, quasi-dynamic and dynamic. The statistical distribution of the quasi-dynamic wetness index and the dynamic wetness index approximate to the steady state wetness index as the time step is increased. The dynamic wetness index shows mixed distribution of the normalized probability density function.

Field Performance Test and Prediction of Power Consumption of a Centrifugal Chiller (현장에서 운전중인 터보냉동기의 성능 측정과 전력 소비량 예측)

  • Jang, Yeong-Su;Sin, Yeong-Gi;Kim, Yeong-Il;Baek, Yeong-Jin
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.12
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    • pp.1730-1738
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    • 2001
  • This paper presents an overview of testing and analyzing field performance of a centrifugal chiller which has a rated capacity of 200 RT(703 kW). Field data of a chiller installed in the cleanroom research building of KIST has been collected far performance analysis. The operating data included start-up, shut-down, and quasi-static state where cooling capacity and compressor power consumption varied cyclically. It was found that the steady-state thermodynamic model could be applied to relate the cooling capacity and COP under quasi-static conditions. The results led to finding the required cooling load pattern and a possible energy saving method. This study provides a method of evaluating performance of a large capacity centrifugal chiller in which field test is necessary.

A study on the compensator design of the quasi-resonant SMPS (유사공진형 SMPS의 보상기 설계에 관한 연구)

  • Lim, I.S.;Huh, U.Y.
    • Proceedings of the KIEE Conference
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    • 1991.07a
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    • pp.720-725
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    • 1991
  • In this thesis, the lead-lag compensator is designed to improve output characteristics of flyback zero voltage switching quasi-resonant converters. The switch and the diode are assumed ideally. And the SMPS is modelled by state equations with four operation modes. And the model for controller design is also achived by using a state space averaging method, which is continuous time average of state variables every period. The lag, the lead and the lead-lag compensator is designed the SMPS respectively. The time domain analysis and the frequency domain analysis are done for each compensated circuit. It is possible increasing the phase margin and improving the transient response by the compensators. The phase lag compensator has small overshoot comparatively. But the bandwidth is narrower than the others, so it has longest settling time. For the phase lead compensator, the response come to steady-state within short period. But the overshoot is the largest due to its large peak gain. Finally, the phase lead-lag compensator has medium characteristics in the overshoot and the settling time.

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A Study on Steady State Characteristics of LLC Resonant Half Bridge Converter Considering Internal Losses (내부 손실이 고려된 LLC 공진형 하프브릿지 컨버터의 정상상태 특성에 관한 연구)

  • Ahn, Tae-Young
    • Journal of IKEEE
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    • v.22 no.4
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    • pp.985-991
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    • 2018
  • In this paper, an equivalent circuit reflecting the internal loss of the LLC resonant half bridge converter was proposed and a steady state characteristic equation including the loss factors was derived. Using the results, the frequency characteristics of I/O voltage gain and input impedance were compared with the lossless model In order to verify the proposed model and the derived equation, the main components of the 1kW class LLC resonant half bridge converter were selected under the same conditions and the steady state characteristics such as voltage gain and input impedance were compared. In particular, to compare more closely the steady state error of the two models, we observed the change in switching frequency with respect to the load current, which is considered to be the most important in the actual circuit design stage. As a result, it is confirmed that the error of the operating frequency is significantly improved from the proposed model and the analysis result.

Flutter and Buffeting Control of Long-span Suspension Bridge by Passive Flaps: Experiment and Numerical Simulation

  • Phan, Duc-Huynh;Nguyen, Ngoc-Trung
    • International Journal of Aeronautical and Space Sciences
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    • v.14 no.1
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    • pp.46-57
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    • 2013
  • Flutter stability and buffeting response have been the topics of most concern in the design state of long-span suspension bridges. Among approaches towards the aerodynamic stability, the aerodynamic-based control method which uses control surfaces to generate forces counteracting the unstable excitations has shown to be promising. This study focused on the mechanically controlled system using flaps; two flaps were attached on both sides of a bridge deck and were driven by the motions of the bridge deck. When the flaps moved, the overall cross section of the bridge deck containing these flaps was continuously changing. As a consequence, the aerodynamic forces also changed. The efficiency of the control was studied through the numerical simulation and experimental investigations. The values of quasi-steady forces, together with the experimental aerodynamic force coefficients, were proposed in the simulation. The results showed that the passive flap control can, with appropriate motion of the flaps, solve the aerodynamic instability. The efficiency of the flap control on the full span of a simple suspension bridge was also carried out. The mode-by-mode technique was applied for the investigation. The results revealed that the efficiency of the flap control relates to the mode number, the installed location of the flap, and the flap length.

RETRIAL QUEUES WITH A FINITE NUMBER OF SOURCES

  • Artalejo, J.R.
    • Journal of the Korean Mathematical Society
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    • v.35 no.3
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    • pp.503-525
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    • 1998
  • In the theory of retrial queues it is usually assumed that the flow of primary customers is Poisson. This means that the number of independent sources, or potential customers, is infinite and each of them generates primary arrivals very seldom. We consider now retrial queueing systems with a homogeneous population, that is, we assume that a finite number K of identical sources generates the so called quasi-random input. We present a survey of the main results and mathematical tools for finite source retrial queues, concentrating on M/G/1//K and M/M/c//K systems with repeated attempts.

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Two-Dimensional Spin-Up in a Rectangle (직사각형 내부에서의 2차원 스핀업)

  • Suh, Yong-Kweon
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.7 s.94
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    • pp.1805-1812
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    • 1993
  • Two-dimensional spin-up in a rectangular domain is analysed by the numerical computation of the Navier-Stokes equations. The cells are in most cases generated by the vorticity developed near the uper and lower surfaces. Moreover, the movement and interaction of those vortices play a key role in establishing the quasi-steady state. The critical phenomena observed in the previous experiment turns out to be caused by the critical movement of the vortices.

Numerical Study on the Thermal Model of High Power Density Welding (고에너지 밀도용접의 온도특성에 관한 수치해석적 연구)

  • 이성호;고상근
    • Journal of Welding and Joining
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    • v.10 no.2
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    • pp.19-31
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    • 1992
  • A numerical study was performed to investigate the flow field and the heat transfer characteristics occurring in high power density welding which is important in many fields of engineering applications. A two dimensional quasi-steady state of keyhole welding model is simulated by using the finite volume methods. It is shown that the shape of isothermal line is elliptic and the temperature gradient is very steep compared with other welding method and the welding speed has on welding width and observed beam power.

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Reliability of the Tremaine-Weinberg Method for Measuring Multiple Pattern Speeds in Barred-Spiral Galaxies

  • Kim, Yonghwi;Kim, Woong-Tae
    • The Bulletin of The Korean Astronomical Society
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    • v.38 no.1
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    • pp.31.1-31.1
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    • 2013
  • Barred-spiral galaxies possess double patterns: a bar and spiral arms. While their angular speeds play an important role in governing gas dynamical evolution of barred spiral galaxies, there is no direct way to observe them. The Tremaine-Weinberg (TW) method has been one of the most reliable indirect methods to estimate pattern speeds, although it requires a few strict assumptions, notably one that the gas tracer is in a quasi-steady state. In barred-spiral galaxies, however, non-steady gas flows are significant especially when the double patterns have different angular speeds. Using numerical models, we explore the effect of non-steady gas motions on the determination of double pattern speeds based on the TW method. We find that the TW method is accurate within 15% when there is only a single pattern or when double patterns have the same angular speed. When double patterns have different speeds, on the other hand, neglecting the non-steady flows leads to quite large errors (> 30%) in the derived pattern speeds, and severely underestimate the real values for the viewing angle parallel to the bar minor axis. This suggests that one should be cautious when applying the TW method to galaxies with double patterns with different speeds.

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