• 제목/요약/키워드: Energy transport equation

검색결과 193건 처리시간 0.024초

디바이스 시뮬레이션 기술을 이용한 미세 n-MOSFET의 비등온 비형형장에 있어서의 특성해석 (Simulation of Miniaturized n-MOSFET based Non-Isothermal Non-Equilibrium Transport Model)

  • 최원철
    • 한국산업융합학회 논문집
    • /
    • 제4권3호
    • /
    • pp.329-337
    • /
    • 2001
  • This simulator is developed for the analysis of a MOSFET based on Thermally Coupled Energy Transport Model(TCETM). The simulator has the ability to calculate not only stationary characteristics but also non - stationary characteristics of a MOSFET. It solves basic semiconductor devices equations including Possion equation, current continuity equations for electrons and holes, energy balance equation for electrons and heat flow equation, using finite difference method. The conventional semiconductor device simulation technique, based on the Drift-Diffusion Model (DDM), neglects the thermal and other energy-related properties of a miniaturized device. I, therefore, developed a simulator based on the Thermally Coupled Energy Transport Model (TCETM) which treats not only steady-state but also transient phenomena of such a small-size MOSFET. In particular, the present paper investigates the breakdown characteristics in transient conditions. As a result, we found that the breakdown voltage has been largely underestimated by the DDM in transient conditions.

  • PDF

$CF_4-Ar$ 혼합기체의 전자수송계수에 관한 연구 (Study on the Electron Transport Coefficient in Mixtures of $CF_4$ and Ar)

  • 김상남
    • 전기학회논문지P
    • /
    • 제56권1호
    • /
    • pp.1-5
    • /
    • 2007
  • Study on the electron transport coefficient in mixtures of CF4 and Ar, have been analyzed over a range of the reduced electric field strength between 0.1 and 350[Td] by the two-term approximation of the Boltzmann equation (BEq.) method and the Monte Carlo simulation (MCS). The calculations of electron swarm parameters require the knowledge of several collision cross-sections of electron beam. Thus, published momentum transfer, ionization, vibration, attachment, electronic excitation, and dissociation cross-sections of electrons for $CF_4$ and Ar, were used. The differences of the transport coefficients of electrons in $CF_4$ mixtures of Ar, have been explained by the deduced energy distribution functions for electrons and the complete collision cross-sections for electrons. The results of the Boltzmann equation and the Monte Carlo simulation have been compared with the data presented by several workers. The deduced transport coefficients for electrons agree reasonably well with the experimental and simulation data obtained by Nakamura and Hayashi. The energy distribution function of electrons in $CF_4-Ar$ mixtures shows the Maxwellian distribution for energy. That is, $f({\varepsilon})$ has the symmetrical shape whose axis of symmetry is a most probably energy. The proposed theoretical simulation techniques in this work will be useful to predict the fundamental process of charged particles and the breakdown properties of gas mixtures. A two-term approximation of the Boltzmann equation analysis and Monte Carlo simulation have been used to study electron transport coefficients.

다차원 2계 중성자 수송방정식의 방향근사를 위한 영역상수법 (Piecewise-Constant Method for Angular Approximation for the Second-Order Multidimensional Neutron Transport Equations)

  • 노태완
    • 에너지공학
    • /
    • 제16권1호
    • /
    • pp.46-52
    • /
    • 2007
  • 특정한 방향에 대해 방향중성자속(angular neutron flux)을 정의하는 방향차분 방정식(discrete-ordinates or $S_{N}$ equation)과 달리 방향변수를 구분된 방향영역에 대하여 적분한 값을 사용하고, 해당 방향영역 내에서 방향중성자속이 일정하다고 가정하는 영역상수법(piecewise-constant method)을 개발하였다. 기존 방향차분법과 본 연구에서 개발된 영역상수법을 1계 수송방정식(1'st-order Boltzmann transport equation)과 2계 우성 방정식(even-parity equation)에 적용하여 방향차분 방정식인 $S_{N}$ 방정식과 유사 방향차분방정식($S_{N}$-like equation)인 $PC_{N}$ 방정식을 유도하였다. 우성 방정식에 영역상수법을 적용한 경우 기존 방향차분법의 단점인 광첨두 현상(ray effect)이 현저히 감소함을 확인하였는데 이는 우성 방정식의 혼합 미분항의 기여도가 작아지기 때문인 것으로 판단된다. 이러한 이론은 우성 방정식에서 혼합 미분항이 제거된 단순우성 방정식(simplified even-parity equation)을 사용하는 경우 광첨두 현상이 완전 제거 또는 극단적으로 감소되었던 이전의 결과를 이론적으로 설명한다.

A new approach for calculation of the neutron noise of power reactor based on Telegrapher's theory: Theoretical and comparison study between Telegrapher's and diffusion noise

  • Bahrami, Mona;Vosoughi, Naser
    • Nuclear Engineering and Technology
    • /
    • 제52권4호
    • /
    • pp.681-688
    • /
    • 2020
  • The telegrapher's theory was used to develop a new formulation for the neutron noise equation. Telegrapher's equation is supposed to demonstrate a more realistic approximation for neutron transport phenomena, especially in comparison to the diffusion theory. The physics behind such equation implies that the signal propagation speed is finite, instead of the infinite as in the case of ordinary diffusion. This paper presents the theory and results of the development of a new method for calculation of the neutron noise using the telegrapher's equation as its basis. In order to investigate the differences and strengths of the new method against the diffusion based neutron noise, a comparison was done between the behaviors of two methods. The neutron noise based on SN transport considered as a precision measuring point. The Green's function technique was used to calculate the neutron noise based on telegrapher's and diffusion methods as well as the transport. The amplitude and phase of Green's function associated with the properties of the medium and frequency of the noise source were obtained and their behavior was compared to the results of the transport. It was observed, the differences in some cases might be considerable. The effective speed of propagation for the noise perturbations were evaluated accordingly, resulting in considerable deviations in some cases.

Hot Gas Analysis of Circuit Breakers By Combining Partial Characteristic Method with Net Emission Coefficient

  • Park, Sang-Hun;Bae, Chae-Yoon;Jung, Hyun-Kyo
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
    • /
    • 제3B권3호
    • /
    • pp.115-121
    • /
    • 2003
  • This paper proposes a radiation model, which considers radiation transport as an important component in hot gas analysis. This radiation model is derived from combining the method of partial characteristics (MPC) with net emission coefficient (NEC), and it covers the drawbacks of existing models. Subsequently, using this proposed model, the arc-flow interaction in an arcing chamber can be efficiently computed. The arc is represented as an energy source term composed of ohmic heating and the radiation transport in the energy conservation equation. Ohmic heating term was computed by the electric field analysis within the conducting plasma region. Radiation transport was calculated by the proposed radiation model. Also, in this paper, radiation models were introduced and applied to the gas circuit breaker (GCB) model. Through simulation results, the efficiency of the proposed model was confirmed.

확산 가속법을 이용한 SAAF 중성자 수송 방정식의 해법 (Solution of the SAAF Neutron Transport Equation with the Diffusion Synthetic Acceleration)

  • 노태완;김성진
    • 에너지공학
    • /
    • 제17권4호
    • /
    • pp.233-240
    • /
    • 2008
  • 최근 새로운 2계 자기 수반형(self-adjoint) 중성자 수송 방정식으로 기존의 우성 및 기성 수송 방정식 외에 SAAF(Self-Adjoint Angular Flux) 수송 방정식이 소개되어, 이에 대한 적절한 경계조건, 수치해법, 정확도 등에 관한 논의가 활발히 진행되고 있다. 본 연구에서는 SAAF 수송 방정식의 수학적, 물리적 의미를 고찰하고 기존의 우성 및 기성 수송 방정식과의 연관성을 명확히 하였으며, Boltzmann 수송 방정식의 1계 차분식에서 2계의 SAAF 수송 방정식의 차분식을 유도하는 방법을 확산 가속법(diffusion synthetic acceleration method)과 함께 소개하였다. 유도된 SAAF 차분법이 계산 효율성과 수송해의 정확도를 증가시킴을 수치결과로 확인하였다.

ON SOME OUTSTANDING PROBLEMS IN NUCLEAR REACTOR ANALYSIS

  • Cho, Nam-Zin
    • Nuclear Engineering and Technology
    • /
    • 제44권2호
    • /
    • pp.207-224
    • /
    • 2012
  • This article discusses selects of some outstanding problems in nuclear reactor analysis, with proposed approaches thereto and numerical test results, as follows: i) multi-group approximation in the transport equation, ii) homogenization based on isolated single-assembly calculation, and iii) critical spectrum in Monte Carlo depletion.

Flux-Corrected Transport Algorithm을 적용한 1차원 발파압력산정에 관한 연구 (A Calculation of 1 Dimensional Blasting Pressure Uslng the Flux-Corrected Transport Algorithm)

  • 김문겸;오금호;이필규
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 1995년도 가을 학술발표회 논문집
    • /
    • pp.76-83
    • /
    • 1995
  • Estimation of blasting behavior of explosives is prerequisite in the numerical analysis of blasting works. In this study, blasting pressure is estimated by the finite difference method using the Flux-Corrected Transport Algorithm. To formulate the behavior of blasting gas, the mass conservation equation, the moment conservation equation, the energy conservation equation and the ideal gas state equation are used. The simplified species conservation equation is included to simulate the behavior of reacting explosives. To verify the calculation, the Sod's shock tube problem, the strong shock problem and the reacting problem we used. Numerical results show that the shock wave can be captured by means of the FCT algorithm in the reacting and nonreacting states.

  • PDF

SENSITIVITY ANALYSIS TO EVALUATE THE TRANSPORT PROPERTIES OF CdZnTe DETECTORS USING ALPHA PARTICLES AND LOW-ENERGY GAMMA-RAYS

  • Kim, Kyung-O;Ahn, Woo-Sang;Kwon, Tae-Je;Kim, Soon-Young;Kim, Jong-Kyung;Ha, Jang-Ho
    • Nuclear Engineering and Technology
    • /
    • 제43권6호
    • /
    • pp.567-572
    • /
    • 2011
  • A sensitivity analysis of the methods used to evaluate the transport properties of a CdZnTe detector was performed using two different radiations (${\alpha}$ particle and gamma-ray) emitted from an $^{241}Am$ source. The mobility-lifetime products of the electron-hole pair in a planar CZT detector ($5{\times}5{\times}2\;mm^3$) were determined by fitting the peak position as a function of biased voltage data to the Hecht equation. To verify the accuracy of these products derived from ${\alpha}$ particles and low-energy gamma-rays, an energy spectrum considering the transport property of the CZT detector was simulated through a combination of the deposited energy and the charge collection efficiency at a specific position. It was found that the shaping time of the amplifier module significantly affects the determination of the (${\mu}{\tau}$) products; the ${\alpha}$ particle method was stabilized with an increase in the shaping time and was less sensitive to this change compared to when the gamma-ray method was used. In the case of the simulated energy spectrum with transport properties evaluated by the ${\alpha}$ particle method, the peak position and tail were slightly different from the measured result, whereas the energy spectrum derived from the low-energy gamma-ray was in good agreement with the experimental results. From these results, it was confirmed that low-energy gamma-rays are more useful when seeking to obtain the transport properties of carriers than ${\alpha}$ particles because the methods that use gamma-rays are less influenced by the surface condition of the CZT detector. Furthermore, the analysis system employed in this study, which was configured by a combination of Monte Carlo simulation and the Hecht model, is expected to be highly applicable to the study of the characteristics of CZT detectors.

원자로 기기 열수력 해석 코드에서 붕소 수송 방정식의 구현 (THE IMPLEMENTATION OF BORON TRANSPORT EQUATION INTO A REACTOR COMPONENT ANLAYSIS CODE)

  • 박익규;이승욱;윤한영
    • 한국전산유체공학회지
    • /
    • 제18권4호
    • /
    • pp.53-60
    • /
    • 2013
  • The boron transport model has been implemented into the CUPID code to simulate the boron transport phenomena of the PWR. The boron concentration conservation was confirmed through a simulation of a conceptual boron transport problem in which water with a constant inlet boron concentration injected into an inlet of the 2-dimensional vertical flow tube. The step wise boron transport problem showed that the numerical diffusion of the boron concentration can be reduced by the second order convection scheme. In order to assess the adaptability of the developed boron transport model to the realistic situation, the ROCOM test was simulated by using the CUPID implemented with the boron transportation.