• Journal of Power Electronics
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• 제19권1호
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• pp.190-200
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• 2019

The flyback converter, which can be regarded as a nonlinear time-varying system, has complex dynamics and nonlinear behaviors. These phenomena can affect the stability of the converter. To simplify the modeling process and retain the information of the output capacitor branch, a special sampled-data model of a peak current-mode (PCM) controlled flyback converter is established in this paper. Based on this, its dynamic behaviors are analyzed, which provides guidance for designing the circuit parameters of the converter. With the critical stability boundary equation derived by a Jacobian matrix, the stable operation range with a varied output capacitor, proportional coefficient of error the amplifier, input voltage, reference voltage and slope of the compensation ramp of a PCM controlled flyback converter are investigated in detail. Research results show that the duty ratio should be less than 0.5 for a PCM controlled flyback converter without ramp compensation to operate in a stable state. The stability regions in the parameter space between the output capacitor and the proportional coefficient of the error amplifier are enlarged by increasing the input voltage or by decreasing the reference voltage. Furthermore, the ramp compensation also can extend to the stable region. Finally, time-domain simulations and experimental results are presented to verify the theoretical analysis results.

• 한국지반공학회논문집
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• 제25권2호
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• pp.25-35
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• 2009

사면붕괴는 매년 인간의 활동에 엄청난 재정적 손실을 끼치는 중요한 재난중의 하나이다. 사면의 붕괴특성을 고찰한 결과 강우와 매우 밀접한 상관성이 있음을 알 수 있었다. 기존 연구에 따르면 우기시 강우로 인한 간극수압의 영향으로 인하여 대부분의 사면붕괴 사고가 발생하였다. 기존사면의 안전율은 사면의 풍화 등 열화 거동과 강우 등의 작용으로 인해 점차 감소하고 있으나 식생, 보호공, 보강공 등으로 인해 안전율을 상승시키는 활동이 가미되어 실제기존사면의 적정한 평가가 어렵다. 따라서 사면의 절취 및 보수보강이 완료된 직후부터 현재까지의 안정성에 영향을 미치는 요소를 누적적으로 고려할 수 있는 시간 의존적 해석도구가 필요하다. 본 연구에서는 변위-간극수압을 고려한 연계 수치해석 기법을 채택하여 무보강 사면과 보강사면으로 구분하여 시간 의존적 거동을 고려하는 수치해석(coupled numerical analysis)을 실시하였다. 이로부터 기존사면의 간극수압에 따른 영향을 평가하고, 연계해석을 해석 도구로 하는 안정해석 기술을 제시하고자 하였다.

• 대한토목학회논문집
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• 제28권3C호
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• pp.167-178
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• 2008

본 연구에서는 실제 풍화토 사면에 대하여 침투해석과 안정해석을 수행하여 강우에 따른 사면의 붕괴를 재현하였다. 불교란시료를 채취하여 불포화토 물성을 실험적으로 직접 획득하여 실제 강우량에 의하여 침투해석을 수행한 결과, 토사층과 암층의 경계부를 중심으로 간극수압이 증가하는 경향이 나타났다. 또한 안정해석을 수행한 결과 안전율이 1.0미만으로 감소하여 실제 사면의 붕괴를 재현할 수 있었다. 또한 설계 강우강도에 의하여 침투해석을 수행한 결과 선행강우 및 강우기간에 따른 침투효과를 고려하기 곤란하였다. 이로 인하여 토사층의 수두변화가 크게 발생하지 못하였고 사면의 안전율이 1.0이상으로 나타났다. 또 다른 붕괴 사면의 경우에는 불포화토의 정수들을 인공신경망기법으로 추정하였다. 침투해석 결과 토사층과 연암층 경계부를 중심으로 포화대가 뚜렷하게 형성되었으며 이로 인하여 토사층의 안전율이 1.0미만으로 감소하였다. 이러한 기법을 통하여 실제 사면의 붕괴를 재현하는 것이 가능하다고 판단된다.

• 대한기계학회논문집
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• 제15권2호
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• pp.644-653
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• 1991

A wave instability problem is formulated for natural convection flows adjacent to a inclined isothermal surface in pure water near the density extremum. It accounts for the nonparallelism of the basic flow and temperature fields. Numerical solutions of the hydrodynamic stability equations constitute a two-point boundary value problem which are accurately solved using a computer code COLSYS. Neutral stability results for Prandtl number of 11.6 are obtained for various angles of inclination of a surface in the range from-10 to 30 deg. The neutral stability curves are systematically shifted toward modified Grashof number G=0 as one proceeds from downward-facing inclined plate(.gamma.<0.deg.) to upward-facing inclined plate (.gamma.>0.deg.). Namely, an increase in the positive angle of inclination always cause the flows to be significantly more unstable. The present results are compared with the results for the parallel flow model. The nonparallel flow model has, in general, a higher critical Grashof number than does the parallel flow model. But the neutral stability curves retain their characteristic shapes.

• Journal of Electrical Engineering and Technology
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• 제8권6호
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• pp.1530-1541
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• 2013

The coexistence and extinction of species are important concepts for biological systems and can be distinguished by an investigation of stability. When determining local stability of nonlinear systems, Lyapunov indirect method based on the Jacobian linearization has been widely employed due to its simplicity. Despite such popularity, it is not applicable to singular systems whose Jacobian has at least one eigenvalue that is equal to zero. In such singular cases, an appropriate Lyapunov function should be sought to determine the stability of systems, which is rather difficult and quite involved. In this paper, we seek for a simple criterion to determine stability of the equilibrium that is located at the boundary of the positive orthant, when one of eigenvalues of the Jacobian is zero. The goal of the paper is to present a generalized condition for the equilibrium to attract all trajectories that starting from initial condition in the positive orthant and near the equilibrium. Unlike the Lyapunov direct method, the proposed method requires just a simple algebraic computation for checking the stability of the critical point. Our approach is applied to various biological systems to show the effectiveness of the proposed method.

• Structural Engineering and Mechanics
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• 제83권4호
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• pp.465-473
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• 2022

In this research, a numerical study has been provided for examining the nonlinear stability behaviors of sandwich beams having a cellular core and two face sheets made of nanocomposites. The nonlinear stability behaviors of the sandwich beam having geometrically perfect/imperfect shapes have been studied when it is subjected to a compressive buckling load. The nanocomposite face sheets are made of epoxy reinforced by graphene oxide powders (GOPs). Also, the core has the shape of a honeycomb with regular configuration. Using finite element method based on a higher-order deformation beam element, the system of equations of motions have been solved to derive the stability curves. Several parameters such as face sheet thickness, core wall thickness, graphene oxide amount and boundary conditions have remarkable influences on stability curves of geometrically perfect/imperfect sandwich beams.

• Journal of applied mathematics & informatics
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• 제7권1호
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• pp.215-222
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• 2000

A multigrid algorithm is developed for solving the one- dimensional initial boundary value problem. The numerical solutions of linear and nonlinear Burgers; equation for various initial conditions are studied. The stability conditions are derived by Von -Neumann analysis . Numerical results are presented.

• 대한수학회지
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• 제37권2호
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• pp.193-223
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• 2000

In the late 1970's, M. Kuranishi proposed to control the moduli of the germ of a normal Stein space by deformations of the CR structure on the boundary. I this paper, we will see that it is naturally accomplished by considering stably embeddable deformations of CR structures.

• 대한수학회논문집
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• 제15권4호
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• pp.605-616
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• 2000

We prove the non-homogeneous boundary value problem for population evolution equations is well-posed in Sobolev space H(sup)3/2,3/2($\Omega$). It provides a strictly mathematical basis for further research of population control problems.

• 대한수학회논문집
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• 제36권3호
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• pp.527-548
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• 2021

In this paper we prove the existence of global weak solutions, the exponential stability of a stationary solution and the existence of a global attractor for the three-dimensional convective Brinkman-Forchheimer equations with finite delay and fast growing nonlinearity in bounded domains with homogeneous Dirichlet boundary conditions.