• Title/Summary/Keyword: Phase Equation

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Random Noise Effect Upon 2nd Order Analog Phase-Locked Loop (Random Noise가 2차 Analog Phase-Locked Loop에 미치는 영향)

  • Kang, Jeoung Soo;Rhee, Man Young
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.23 no.5
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    • pp.605-615
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    • 1986
  • The phase-locked loop(PLL) is a communication receiver which operates as a coherent detector by continuously correcting the phase error. In this paper analysis for the Phase-error behavior of analog phase-locked loop (APLL) in the presence of additive white gaussian noise has been done theoretically and experimentally. A close form solution of the first-order loop is obtained and approximate solutions are derived for the second-order loops with RC, leadlag and perfect integrator filters. The perdormance of APLL's and their characteristics are also thoroughly investigated through experiments. In order to analyze the effect of the stochastic nature on nonlinear dynamics characteristics of the second order APLL, the phase error distribution and its variance have been obtained by using the Fokker-Planck equation. Theoretical results agree closely with those of experiment.

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Nonparaxial Imaging Theory for Differential Phase Contrast Imaging

  • Jeongmin Kim
    • Current Optics and Photonics
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    • v.7 no.5
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    • pp.537-544
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    • 2023
  • Differential phase contrast (DPC) microscopy, a central quantitative phase imaging (QPI) technique in cell biology, facilitates label-free, real-time monitoring of intrinsic optical phase variations in biological samples. The existing DPC imaging theory, while important for QPI, is grounded in paraxial diffraction theory. However, this theory lacks accuracy when applied to high numerical aperture (NA) systems that are vital for high-resolution cellular studies. To tackle this limitation, we have, for the first time, formulated a nonparaxial DPC imaging equation with a transmission cross-coefficient (TCC) for high NA DPC microscopy. Our theoretical framework incorporates the apodization of the high NA objective lens, nonparaxial light propagation, and the angular distribution of source intensity or detector sensitivity. Thus, our TCC model deviates significantly from traditional paraxial TCCs, influenced by both NA and the angular variation of illumination or detection. Our nonparaxial imaging theory could enhance phase retrieval accuracy in QPI based on high NA DPC imaging.

Level Set Method Applied on Pseudo-compressibility Method for the Analysis of Two-phase Flow (Pseudo-compressibility 방법에서 이상유동 해석을 위한 Level Set방법의 적용)

  • Ihm Seung-Won;Kim Chongam;Shim Jae-Seol;Lee Dong-Young
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.17 no.3
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    • pp.158-165
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    • 2005
  • In order to analyze incompressible two-phase flow, Level Set method was applied on pseudo-compressibility formulation. Level Set function is defined as a signed distance function from the phase interface, and gives the information of the each phase location and the geometric data to the flow. In this study, Level Set function transport equation was coupled with flow conservation equations, and owing to pseudo-compressibility technique we could solve the resultant vector equation iteratively. Two-phase flow analysis code was developed on general curvilinear coordinate, and numerical tests of bubble dynamics and surging wave problems demonstrate its capability successfully.

GAS-LIQUID TWO-PHASE HOMOGENEOUS MODEL FOR CAVITATING FLOW -Part II. HIGH SPEED FLOW PHENOMENA IN GAS-LIQUID TWO-PHASE MEDIA (캐비테이션 유동해석을 위한 기- 2상 국소균질 모델 -제2보: 기-액 2상 매체중의 고속유동현상)

  • Shin, B.R.;Park, S.;Rhee, S.H.
    • Journal of computational fluids engineering
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    • v.19 no.3
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    • pp.91-97
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    • 2014
  • A high resolution numerical method aimed at solving cavitating flow was proposed and applied to gas-liquid two-phase shock tube problem with arbitrary void fraction. The present method with compressibility effects employs a finite-difference 4th-order Runge-Kutta method and Roe's flux difference splitting approximation with the MUSCL TVD scheme. The Jacobian matrix from the inviscid flux of constitute equation is diagonalized analytically and the speed of sound for the two-phase media is derived by eigenvalues. So that the present method is appropriate for the extension of high order upwind schemes based on the characteristic theory. By this method, a Riemann problem for Euler equations of one dimensional shock tube was computed. Numerical results of high speed flow phenomena such as detailed observations of shock and expansion wave propagations through the gas-liquid two-phase media and some data related to computational efficiency are made. Comparisons of predicted results and solutions at isothermal condition are provided and discussed.

Compensate Voltage Drop for Autotransformer-Fed AC Electric Railroad System with Single-Phase STATCOM (STATCOM을 이용한 교류 전기철도 급전시스템의 전압강하 보상)

  • 정현수;이승혁;김진오
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.16 no.5
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    • pp.53-60
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    • 2002
  • This paper presents exact autotransformer-fed AC electric railroad system modeling using constant current mode, and single-phase STATCOM(Static Synchronous Compensator) which has an effect on electric railroad system. An AC electric railroad is rapidly changing single-phase feeding electric power. To avoid voltage fluctuation under single phase loads, electric power should be received from a large source. The system modeling theory is based on the solution of algebraic. The AC electric railroad load model is nonlinear. Therefore this paper is considered nonlinear load using PSCAD/EMTDC. And the proposed modeling method is considered the line self-impedances and mutual-impedances that techniques for the AC electric railroad system modeling analysis, and that single-phase STATCOM can reliably compensate the voltage drop. In the case study, the allowance range of feeding voltage is 22.5∼27.5 kV, AT-fed AC electric railroad system circuit is analyzed by loop equation both normal and extension modes. The simulation objectives are to calculate the catenary and rail voltages with respect to ground, as the train moves along a section of line between two adjacent ATs. The results show that single-phase STATCOM can reduce the voltage drop in the feeding circuit and improve the power quality at AC electric railroad system by compensating the reactive power.

Inhibitory Effect of adding Phase Change Material (PCM) to Fire Fighter Protective Clothing on Burn Injuries (Phase Change Material (PCM) 소재 적용 소방보호복의 화상발생 억제효과에 관한 연구)

  • Lee, Jun Kyoung
    • Fire Science and Engineering
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    • v.30 no.3
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    • pp.16-22
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    • 2016
  • Fire fighters rely on fire fighter protective clothing (FFPC) to provide adequate protection in the various hazardous environments. To enhance its protection performance, the FFPC material must be thick and thus it is difficult to achieve weight reduction. One of the methods of overcoming this problem, the addition of phase change material (PCM) to FFPC, is a new technology. In previous studies, the researches was mostly related to the temperature characteristics of the fibers incorporating PCM, but little information is available about its effect on burn injuries. Thus, in this study, the inhibitory effects of adding PCM to FFPC on second degree burns were investigated through numerical calculations. Thermal analyses of biological tissues and FFPC with embedded PCM exposed to several fire conditions causing severe tissue damage were studied by using a finite difference method based on the Pennes bio-heat equation. FFPC with embedded PCM was found to provide significantly greater protection than conventional fire fighting clothing, because the heat of absorption due to the phase change within the material is used to limit the heat conduction of the material.

Carbon Dioxide-Isopropyl Alcohol System: High Pressure Phase Behavior and Application with SAFT Equation of State (이산화탄소-이소프로필 알코올계: 고압 상거동 및 SAFT 상태방정식 적용)

  • Kwak, Chul;Byun, Hun-Soo
    • Applied Chemistry for Engineering
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    • v.10 no.2
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    • pp.324-329
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    • 1999
  • In this work, high pressure binary phase equilibria data of carbon dioxide and isopropyl alcohol were obtained by experiment. A static type experimental apparatus was made to measure temperature, pressure and phase equilibria composition. The experimental apparatus was tested by comparing the measured phase equilibria data of the carbon dioxide-isopropyl alcohol system at $80^{\circ}C$ with those of Rodosz. The binary phase behavior data of carbon dioxide-isopropyl alcohol system were measured in range of 41 to 133 bar and at temperatures of 40, 60, 80, 100 and $120^{\circ}C$. The solubility of isopropyl alcohol increases as the temperatures increases at constant pressure. Also, these carbon dioxide-alcohol solute system have critical-mixture curves that exhibit maxima in pressure at temperatures between the critical temperatures of carbon dioxide and isopropyl alcohol. The experimental data obtained in this study were modeled using the statistical associating fluid theory(SAFT) equation of state. A good fit of the data was obtained with SAFT using two adjustable parameters for the carbon dioxide-isopropyl alcohol system.

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Prediction Model for the Microstructure and Properties in Weld Heat Affected Zone: V. Prediction Model for the Phase Transformation Considering the Influence of Prior Austenite Grain Size and Cooling Rate in Weld HAZ of Low Alloyed Steel (용접 열영향부 미세조직 및 재질 예측 모델링: V. 저합금강의 초기 오스테나이트 결정립크기 및 냉각 속도의 영향을 고려한 용접 열영향부 상변태 모델)

  • Kim, Sang-Hoon;Moon, Joon-Oh;Lee, Yoon-Ki;Jeong, Hong-Chul;Lee, Chang-Hee
    • Journal of Welding and Joining
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    • v.28 no.3
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    • pp.104-113
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    • 2010
  • In this study, to predict the microstructure in weld HAZ of low alloyed steel, prediction model for the phase transformation considering the influence of prior austenite grain size and cooling rate was developed. For this study, six low alloyed steels were designed and the effect of alloying elements was also investigated. In order to develop the prediction model for ferrite transformation, isothermal ferrite transformation behaviors were analyzed by dilatometer system and 'Avrami equation' which was modified to consider the effect of prior austenite grain size. After that, model for ferrite phase transformation during continuous cooling was proposed based on the isothermal ferrite transformation model through applying the 'Additivity rule'. Also, start temperatures of ferrite transformation were predicted by $A_{r3}$ considering the cooling rate. CCT diagram was calculated through this model, these results were in good agreement with the experimental results. After ferrite transformation, bainite transformation was predicted using Esaka model which corresponded most closely to the experimental results among various models. The start temperatures of bainite transformation were determined using K. J. Lee model. Phase fraction of martensite was obtained according to phase fractions of ferrite and bainite.

Kinetics of Lipase Reactions in Two Phase System (이상계내에서 리파제의 반응동력학)

  • Kwon, Dae Y.;Rhee, Joon S.
    • Microbiology and Biotechnology Letters
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    • v.15 no.2
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    • pp.98-103
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    • 1987
  • Two phase reaction system was used to hydrolyze the olive oil for fat splitting. Kinetics of lipases in two phase system were investigated by determining the hydrolysis rate of triglycerides at various olive oil concentrations in isooctane using the microbial lipases from Candida rugosa and Rhizopus arrhizus. The rate equation in lipid hydrolysis for various olive oil concentrations in two phase system was deviated from the Michaelis-Menten kinetics. The results suggested that the olive oil concentration in isooctane affects the interfacial area. The dependency of the interfacial area on olive oil concentration is greater at the lower olive oil concentration than at the higher substrate concentration. We modified the rate equation by considering the interfacial area between two phases depending on the olive oil concentration in solvent phase.

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A Study on Thermo-Physical Properties of Microencapsulated Phase Change Material Slurry (마이크로캡슐 잠열 축열재 혼합수의 열물성에 관한 연구)

  • 임재근;최순열;김명준
    • Journal of Advanced Marine Engineering and Technology
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    • v.28 no.6
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    • pp.962-971
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    • 2004
  • This paper has dealt with thermo-physical properties of microencapsulated phase change material slurry as a latent heat storage material having a low melting point. The measured results of the thermo-physical properties of the test microencapsulated phase change material slurry, those are, density, specific heat, thermal conductivity and viscosity, were discussed for the temperature region of solid and liquid phases of the dispersion material (paraffin). The measurements of these properties of microencapsulated phase change material slurry have been carried out by using a specific-gravity meter, a water calorimeter, a differential scanning calorimeter(DSC), a transient hot wire method and rotating type viscometer, respectively. It was clarified that the additional properties law could be applied to the estimation of the density and specific heat of microencapsulated phase change material slurry and also the Euckens equation could be applied to the estimation of the thermal conductivity of this slurry.