• 제목/요약/키워드: Analytical approximation

검색결과 210건 처리시간 0.026초

불포화대에서 오염물질 이동현상에 대한 다중구획 모델의 단순 근사방법 (Simplified Approximation Method of the Multi-Compartments Model on the Migration of Contaminant through Unsaturated Zone)

  • 정재학
    • 방사성폐기물학회지
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    • 제5권1호
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    • pp.29-37
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    • 2007
  • 특정 구획으로 유입된 오염물질이 해당 구획 내부에 순간적으로 균일하게 분포한다는 구획모델에 대한 기본가정의 한계로 인해, 전통적인 단일구획모델로는 불포화대에서 오염물질의 이동현상을 적절하게 예측할 수 없다. 한편 물리적으로 동일한 불포화대를 여러 개의 구획으로 구분한 다중구획모델링 기법은 실제 불포화대에서의 오염물질 이동 지연효과를 적절하게 설명할 수 있으나, 지금까지 일반적인 해석해가 보고된 바 없으며 고려하는 구획의 개수가 증가할수록 모델링에 많은 시간이 소요되는 등의 한계가 있다. 이러한 문제점을 해결하기 위하여, 이류가 지배적인 조건 하에서 불포화대의 오염물질 이동현상에 대한 다중구획모델을 수립하고 이를 해석적인 방법으로 계산할 수 있는 일반해를 유도한 후, 다중구획모델을 단일구획모델로 근사할 수 있는 수학적 제약조건을 도출하였다. 단순화된 근사방법론의 유효성은 가상적인 조건 하에서 간단한 수치해석적 방법을 통해 검증하였다. 물리적으로 동일한 특성을 갖는 불포화대를 단일 구획으로 가정할 경우, 불포화대로부터 포화대로 유입되는 오염물질의 전이율은 상수가 아닌 시간 종속적인 명목전이율로 표현할 수 있음을 증명하였다. 또한 명목전이율은 불포화대 구획간 전이율에 민감하며 오염층으로부터의 전이율에 대한 민감도는 미미한 것으로 나타났다. 이 연구에서 개발된 단순화된 근사방법론은 많은 시간이 요구되는 다중구획 모델링을 통하지 않고 불포화대 오염물질 이동현상을 신속하고 합리적으로 예측하기 위한 목적으로 활용될 수 있을 것으로 기대된다.

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FDTD 방법과 분수 함수 근사법을 이용한 다층 구조에서의 Green 함수 근사화 (Approximate Method of Multi-Layer Green's Function Using FDTD Scheme and Rational Function Approximation)

  • 김용준;고일석;이용식
    • 한국전자파학회논문지
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    • 제22권2호
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    • pp.191-198
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    • 2011
  • 본 논문에서는 1차원 모드 방정식의 FDTD 해석 결과와 분수 함수 근사법을 이용하여 다층 구조의 Green 함수를 근사화 하는 방법을 제안한다. 파수 값에 따른 FDTD 해석 결과를 Fourier 변환 과정을 거쳐 spectral domain 상에서 Green 함수를 계산한다. FDTD 수치 해석 결과로 얻은 Green 함수에 분수 함수 근사법을 적용하여 pole과 residue를 계산하여 Green 함수를 분수 함수로 근사화 한다. 제안된 방법은 path-loss 계산 방법 중 하나인 정상 모드(normal mode)에 사용할 수 있다. 단일 주파수 해석에 유효한 기존의 정상 모드 방법과는 달리 본 논문에서 제안하는 FDTD 기반 방법은 광대역 해석을 할 수 있다. 제안된 방법의 유용성을 입증하기 위해 정상 모드 해석기반의 Kraken 시뮬레이터 결과와 공진 모드의 pole 값을 비교한다. 또 알려진 해석해를 갖는 문제에 제안된방법을 적용하여 정확도를 검증하였다.

자계 및 와전류 침수효과를 고려한 히스테리시스 전동기의 토오크에 대한 해석법 (An analysis on the torque of hysteresis-motor concerned with penetration-effect of magnetic -field and eddy-current)

  • 정연택
    • 전기의세계
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    • 제29권9호
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    • pp.594-598
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    • 1980
  • This paper describes an analytical method on the starting torque of hysteresis motor, taking account of penetration effects of magnetic-field and eddy-current into the rotor, to the elliptical approximation method of hysteresis-loop. By the above method, it have obtained the torque of rotor ring with non-magnetic and non-conductive material arbor, and the results are concerned and compared with that of computed by aid of callibration factor, k=1+exp(-2t$_{r}$/.delta.).)

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Control of an stochastic nonlinear system by the method of dynamic programming

  • Choi, Wan-Sik
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1994년도 Proceedings of the Korea Automatic Control Conference, 9th (KACC) ; Taejeon, Korea; 17-20 Oct. 1994
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    • pp.156-161
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    • 1994
  • In this paper, we consider an optimal control problem of a nonlinear stochastic system. Dynamic programming approach is employed for the formulation of a stochastic optimal control problem. As an optimality condition, dynamic programming equation so called the Bellman equation is obtained, which seldom yields an analytical solution, even very difficult to solve numerically. We obtain the numerical solution of the Bellman equation using an algorithm based on the finite difference approximation and the contraction mapping method. Optimal controls are constructed through the solution process of the Bellman equation. We also construct a test case in order to investigate the actual performance of the algorithm.

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Reliability computation technique for ball bearing under the stress-strength model

  • Nayak, S.;Seal, B.
    • International Journal of Reliability and Applications
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    • 제17권1호
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    • pp.51-63
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    • 2016
  • Stress function of ball bearing is function of multiple stochastic factors and this system is so complex that analytical expression for reliability is difficult to obtain. To address this pressing problem, in this article, we have made an attempt to approximate system reliability of this important item based on reliability bounds under the stress strength setup. This article also provides level of error of this item. Numerical analysis has been adopted to show the closeness between the upper and lower bounds of this item.

Physical interpretation on eigen-parameters of polarimetric SAR data for microwave scattering from leaf

  • Park, Sang-Eun;Moon, Wooil M.
    • 대한원격탐사학회:학술대회논문집
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    • 대한원격탐사학회 2003년도 Proceedings of ACRS 2003 ISRS
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    • pp.316-318
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    • 2003
  • An eigen-analysis of the coherency matrix provides the polarimetric scattering mechanisms with the matrix characterizing parameters. In this paper, the coherency matrices of deciduous and coniferous vegetation are calculated using the analytical method. The Generalized Rayleigh-Gans approximation is used to model backscattering from distributed coniferous and deciduous leaves. The characteristics of eigen-parameters of simulated coherency matrix for deciduous and coniferous leaves with respect to the leaf shapes and orientations are illustrated.

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직렬 미소채널 기체유장의 수치해석 (Numerical Analysis of Gas Flows in Microchannels in Series)

  • 정찬홍
    • 한국윤활학회:학술대회논문집
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    • 한국윤활학회 2004년도 학술대회지
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    • pp.221-231
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    • 2004
  • A kinetic theory analysis is made of low-speed gas flows in a microfluidic system consisted of three microchannels in series. The Boitzmann equation simplified by a collision model is solved by means of a finite difference approximation with the discrete ordinate method. For the evaluation of the present method results are compared with those from the DSMC method and an analytical solution of the Navier-Stokes equations with slip boundary conditions. Calculations are made for flows at various Knudsen numbers and pressure ratios across the channel. The results compared well with those from the DSMC method. It is shown that the analytical solution of the Navier-Stokes equations with slip boundary conditions which is suited fur fully developed flows can give relatively good results. In predicting the geometrically complex flows up to a Knudsen number of about 0.06. It is also shown that the present method can be used to analyze extremely low-speed flow fields for which the DSMC method is Impractical.

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짤은 채널 LDD(Lightly doped Drain)NMOSFET의 포화영역 Transconductance 감소 (Reduction of Transconduce in Saturation Region of Short Channel LDD(Lightly Doped Drain) NMOSFETs)

  • 이명복;이정일;강광남
    • 대한전자공학회논문지
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    • 제27권1호
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    • pp.74-80
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    • 1990
  • The transconductance of short channel LDD MOSFETs in the saturation region (high Vd)has shown different characteristics from that of conventional device. The transconductance in saturation regime of short channel LDD MOSFETs is reduced from maximum value at higher gate voltage. This decline is analyzed as the velocity saturation effects of carrier at LDD region but accurate analytical expressions for the drain current Idsat and the transconductance Gmsat in the saturation regime are still not in existence. Recently the drain current dependence of parasitic source resistance Rs has been modeled from the velocity saturation of carriers in LDD region. In this study, we approximate that Rmsat that Rs is linearly dependent on the applied gate voltage. Analytical expressions for Idsat and Gmsat obtained from this approximation show the same general behavior as experimental results of short channel LDD NMOSFETs.

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Semi-analytical Modeling of Transition Metal Dichalcogenide (TMD)-based Tunneling Field-effect Transistors (TFETs)

  • Huh, In
    • EDISON SW 활용 경진대회 논문집
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    • 제5회(2016년)
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    • pp.368-372
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    • 2016
  • In this paper, the physics-based analytical model of transition metal dichalcogenide (TMD)-based double-gate (DG) tunneling field-effect transistors (TFETs) is proposed. The proposed model is derived by using the two-dimensional (2-D) Landauer formula and the Wentzel-Kramers-Brillouin (WKB) approximation. For improving the accuracy, nonlinear and continuous lateral energy band profile is applied to the model. 2-D density of states (DOS) and two-band effective Hamiltonian for TMD materials are also used in order to consider the 2-D nature of TMD-based TFETs. The model is validated by using the tight-binding non-equilibrium Green's function (NEGF)-based quantum transport simulation in the case of monolayer molybdenum disulfide ($MoS_2$)-based TFETs.

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열전도가 주도적인 삼차원 접촉융해에 대한 비정상 해석 (Unsteady Analysis of the Conduction-Dominated Three-Dimensional Close-Contact Melting)

  • 유호선
    • 대한기계학회논문집B
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    • 제23권8호
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    • pp.945-956
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    • 1999
  • This work reports a set of approximate analytical solutions describing the initial transient process of close-contact melting between a rectangular parallelepiped solid and a flat plate on which either constant temperature or constant heat flux is imposed. Not only relative motion of the solid block tangential to the heating plate, but also the density difference between the solid and liquid phase is incorporated in the model. The thin film approximation reduces the force balance between the solid weight and liquid pressure, and the energy balance at the melting front into a simultaneous ordinary differential equation system. The normalized model equations admit compactly expressed analytical solutions which include the already approved two-dimensional solutions as a subset. In particular, the normalized liquid film thickness is independent of all pertinent parameters, thereby facilitating to define the transition period of close-contact melting. A unique behavior of the solid descending velocity due to the density difference is also resolved by the present solution. A new geometric function which alone represents the three-dimensional effect is introduced, and its properties are clarified. One of the representative results is that heat transfer is at least enhanced at the expense of the increase in friction as the cross-sectional shape deviates from the square under the same contact area.