• 제목/요약/키워드: Difference equation

검색결과 2,168건 처리시간 0.036초

제어 알고리즘 구현을 위한 새로운 미분값 유도 방법 (New approach method of finite difference formulas for control algorithm)

  • 김태엽
    • 전기전자학회논문지
    • /
    • 제23권3호
    • /
    • pp.817-825
    • /
    • 2019
  • 마이크로프로세서를 이용한 제어알고리즘 구현에서 차분방정식이 매우 유용하게 사용된다. 샘플링 데이터로부터 미분 값을 추정하기 위해 전향, 후향 및 중심 차분 방식이 사용되어왔다. 차분 값을 계산하기 위해서는 차분계수가 매우 중요하다. 본 논문에서는 유한 차분 계수를 계산하기 위한 새로운 방식을 제시하고자 한다. 제안된 방식의 유효성을 입증하기 위해 RLS 알고리즘을 적용한 파라미터 추정에 대하여 적용하였다.

일사영향권내 비균질 토양의 열적거동 예측 모델 (Model to Predict Non-Homogeneous Soil Temperature Variation Influenced by Solar Irradiation)

  • 김용환;현명택;강은철;박용정;이의준
    • 한국태양에너지학회 논문집
    • /
    • 제26권4호
    • /
    • pp.1-7
    • /
    • 2006
  • This study is to develop a model to predict the soil temperature variation in Korea Institute of Energy Research using its thermal properties, such as thermal conductivity and diffusivity. Soil depth temperature variation is very important in the design of a proper Ground Source Heat Pump (GSHP) system. This is because the size of the borehole depends on the soil temperature distribution, and this can decrease GSHP system cost. If the thermal diffusivity and thermal conductivity are known, the soil temperature can be predicted by either the Krarti equation or the Spitler equation. Then a comparison with the Krarti equation and Spitler equation data with the real measured data can be performed. Also, the thermal properties can be reasonably approximated by performing a fit of the Krarti and Spitler equations with measured temperature data. This was done and, as a result, the Krarti equation and Spitler equation predicted values very close to the measured data. Although there is about a $0.5^{\circ}C$ difference between the deep subsurface prediction (16m - 60m), with this equation, were expected to have model this Non-Homogeneous Soil Temperature phenomenon properly. So, it has been shown that a prediction of non-homogeneous soil temperature variation influenced by solar radiation can be achieved with a model.

Analysis of Empirical Constant of Eddy Viscosity by Zero- and One-Equation Turbulence Model in Wake Simulation

  • Park, Il Heum;Cho, Young Jun;Kim, Tae Yun;Lee, Moon Ock;Hwang, Sung Su
    • 해양환경안전학회지
    • /
    • 제20권3호
    • /
    • pp.323-333
    • /
    • 2014
  • In this paper, the wakes behind a square cylinder were simulated using two kinds of different turbulence models for the eddy viscosity concept such as the zero- and the one-equation model in which the former is the mixing length model and the latter is the k-equation model. For comparison between numerical and analytical solutions, we employed three skill assessments: the correlation coefficient(r) for the similarity of the wake shape, the error of maximum velocity difference(EMVD) for the accuracy of wake velocity and the ratio of drag coefficient(RDC) for the pressure distribution around the structure. On the basis of the numerical results, the feasibility of each model for wake simulation was discussed and a suitable value for the empirical constant was suggested in these turbulence models. The zero-equation model, known as the simplest turbulence model, overestimated the EMVD and its absolute mean error(AME) for r, EMVD and RDC was ranging from 20.3 % to 56.3 % for all test. But the AME by the one-equation model was ranging from 3.4 % to 19.9 %. The predicted values of the one-equation model substantially agreed with the analytical solutions at the empirical mixing length scale $L=0.6b_{1/2}$ with the AME of 3.4 %. Therefore it was concluded that the one-equation model was suitable for the wake simulation behind a square cylinder when the empirical constant for eddy viscosity would be properly chosen.

베어링 편심도와 자세각에 따른 저어널 베어링의 윤활효과 (Lubrication Effect of Journal Bearing according to its Eccentricity and Attitude Angle)

  • 김종도;왕일군;윤문철
    • 한국기계가공학회지
    • /
    • 제14권5호
    • /
    • pp.88-95
    • /
    • 2015
  • The thickness of adsorbed molecular layers is the most critical factor in studying thin-film lubrication, and it is the most essential parameter that distinguishes thin-film from thick-film lubrication analysis. The thin film between the shaft and bearing surface within a very narrow gap was considered. The general Reynolds equation has been derived for calculating thin-film lubrication parameters affecting the performance of the circular journal bearing. Investigation of the load-carrying capacity and pressure distribution for the journal bearing considering the adsorbed layer thickness has been carried out. A Reynolds equation appropriate for the journal bearing is used in this paper for the analysis, and it is discussed using the finite difference method of the central difference scheme. The parameters, such as eccentricity and attitude angle, are used for discussing the load-carrying capacity of the journal bearing. The results reported in this paper should be applied to analysis of the journal bearing with different lubrication factors. The steady-state analysis of the journal bearing is conducted using the Reynolds model under thin-film lubrication conditions. For a journal bearing, several parameters, such as a pressure, load capacity, and pressure components of the bearing can be obtained, and these results can be stored in a sequential data file for later analysis. Finally, their distribution can be displayed and analyzed easily by using the MATLAB GUI technique. The load-carrying capability of the journal bearing is observed for the specified operating conditions. This work could be helpful for the understanding and research of the mechanism of thin-film lubrication.

하중전이법의 간편 적용 (Simplified Application of Load Transfer Method)

  • 이승현;이수형
    • 한국산학기술학회논문지
    • /
    • 제13권5호
    • /
    • pp.2403-2407
    • /
    • 2012
  • 압축하중을 받는 말뚝의 하중-침하관계를 구하기 위한 하중전이법에서는 말뚝을 유한개의 요소로 분할하고 각각의 요소들에 대하여 말뚝주면변위와 주면 전이하중 그리고 말뚝선단변위와 선단저항력 사이의 적합조건으로부터 말뚝 요소의 단면력과 변위를 계산하게 된다. 통상적인 하중전이법에 의할 경우 모든 말뚝요소들에 대하여 하중-변위 사이의 적합조건을 만족하도록 반복계산을 수행해야 하므로 계산량이 과다한 단점이 있다. 본 연구에서는 압축하중을 받는 말뚝에 대한 미분방정식을 유한차분식으로 정식화하여 말뚝 바닥요소를 제외한 요소에 대해서는 반복계산 없이 직접 말뚝 단면력과 변위량을 계산할 수 있는 간편 계산법을 도입하였다. 간편 계산법에 의한 계산결과를 기존의 해석자료와 비교하여 보았는데 하중-침하관계와 말뚝 단면력 분포가 일치함을 알 수 있었다.

분포하중(分布荷重)을 받는 구형판(矩形板)의 탄성해석(彈性解析) (Analysis of Rectangular Plates under Distributed Loads of Various Intensity with Interior Supports at Arbitrary Positions)

  • 장석윤
    • 대한조선학회지
    • /
    • 제13권1호
    • /
    • pp.17-23
    • /
    • 1976
  • Some methods of analysis of rectangular plates under distributed load of various intensity with interior supports are presented herein. Analysis of many structures such as bottom, side shell, and deck plate of ship hull and flat slab, with or without internal supports, Floor systems of bridges, included crthotropic bridges is a problem of plate with elastic supports or continuous edges. When the four edges of rectangular plate is simply supported, the double Fourier series solution developed by Navier can represent an exact result of this problem. If two opposite edges are simply supported, Levy's method is available to give an "exact" solution. When the loading condition and supporting condition of a plate does not fall into these cases, no simple analytic method seems to be feasible. Analysis of a simply supported rectangular plate under irregularly distributed loads of various intensity with internal supports is carried out by applying Navier solution well as the "Principle of Superposition." Finite difference technique is used to solve plates under irregularly distributed loads of various intensity with internal supports and with various boundary conditions. When finite difference technique is applied to the Lagrange's plate bending equation, any of fourth order derivative term in this equation produces at least five pivotal points leading to some troubles when the resulting linear algebraic equations are to be solved. This problem was solved by reducing the order of the derivatives to two: the fourth order partial differential equation with one dependent variable, namely deflection, is changed to an equivalent pair of second order partial differential equations with two dependent variables. Finite difference technique is then applied to transform these equations to a set of simultaneous linear algebraic equations. Principle of Superposition is then applied to handle the problems caused by concentrated loads and interior supports. This method can be used for the cases of plates under irregularly distributed loads of various intensity with arbitrary conditions such as elastic supports, or continuous edges with or without interior supports, and this method can also be solve the influence values of deflection, moment and etc. at arbitrary position of plates under the live load.

  • PDF

결합 적분방정식을 이용한 삼차원 임의형태 도체 구조물의 전자파 지연산란 해석 (Analysis of Transient Scattering from Arbitrarily Shaped Three-Dimensional Conducting Objects Using Combined Field Integral Equation)

  • 정백호
    • 대한전기학회논문지:전기물성ㆍ응용부문C
    • /
    • 제51권11호
    • /
    • pp.551-558
    • /
    • 2002
  • A time-domain combined field integral equation (CFIE) is presented to obtain the transient scattering response from arbitrarily shaped three-dimensional conducting bodies. This formulation is based on a linear combination of the time-domain electric field integral equation (EFIE) with the magnetic field integral equation (MFIE). The time derivative of the magnetic vector potential in EFIE is approximated using a central finite difference approximation and the scalar potential is averaged over time. The time-domain CFIE approach produces results that are accurate and stable when solving for transient scattering responses from conducting objects. The incident spectrum of the field may contain frequency components, which correspond to the internal resonance of the structure. For the numerical solution, we consider both the explicit and implicit scheme and use two different kinds of Gaussian pulses, which may contain frequencies corresponding to the internal resonance. Numerical results for the EFIE, MFIE, and CFIE are presented and compared with those obtained from the inverse discrete Fourier transform (IDFT) of the frequency-domain CFIE solution.

강우 운동에너지식에 따른 한국의 강우침식인자 평가 (Evaluation of Rainfall Erosivity in Korea using Different Kinetic Energy Equations)

  • 이준학;신주영;허준행
    • 한국토양비료학회지
    • /
    • 제44권3호
    • /
    • pp.337-343
    • /
    • 2011
  • A particular empirical equation for rainfall kinetic energy is needed to compute rainfall erosivity, calculated by the annual sum of the product of total rainfall energy and maximum 30-min rainfall intensity. If rainfall kinetic energy equation was different, rainfall erosivity will be produced differently. However, the previous studies in Korea had little concern about rainfall kinetic energy equation and it was not clear which rainfall kinetic energy is suitable for Korea. The purpose of this study is to analyze and evaluate the difference of the rainfall erosivity based on different rainfall kinetic energy equations obtained from previous studies. This study introduced new rainfall erosivity factors based on rainfall kinetic energy equation of Noe and Kwon (1984) that is only regression model developed in Korea. Data of annual rainfall erosivity for 21 weather stations in 1980~1999 were used in this study. The result showed that rainfall erosivity factors by the previous equations had been about 10~20% overestimated than rainfall erosivity by Noe and Kwon (1984)'s equation in Korea.

모래지반에서 쐐기모델을 이용한 단독말뚝의 수평저항력 해석 (Lateral Resistance Analysis of Single Pile Using Strain Wedge Model in Sand)

  • 배종순;김지성;김성호
    • 한국지반공학회논문집
    • /
    • 제26권11호
    • /
    • pp.39-46
    • /
    • 2010
  • 본 연구에서는 Strain Wedge 해석모델을 이용하여 수평하중이 작용하는 단독말뚝의 수평저항력 산출식을 제시하였고, 이를 모형실험, 현장 실험의 결과와 기존의 문헌에서 제시된 수평저항력 산정식과 비교 분석하였다. 그 결과 모형 실험의 시험 결과보다 조금 작게 나타났고, 현장 재하실험 결과와는 말뚝 두부의 변위가 작을 경우 상당히 잘 일치하고 있으나, 말뚝 두부의 변위가 증가할 수록 결과 값의 차가 조금씩 발생하였다. 그리고 기존의 산출식과 비교 검토한 결과 유한차분법과 잘 일치하였다.

TDOA 방식 기반 위치 추정을 위한 BLUE 추정기 (A BLUE Estimator for Passive Localization by TDOA Method)

  • 이영규;양성훈;권태용;이창복;박병구;이원진
    • 한국통신학회논문지
    • /
    • 제36권11C호
    • /
    • pp.702-711
    • /
    • 2011
  • 본 논문에서는 발신자가 송출한 신호를 이용하여 TDOA(Time Difference of Arrival) 방식으로 발신자의 위치를 추정할 때, BLUE(Best Linear Unbiased Estimator) 추정기와 이의 CRLB(Crammer-Rao Lower Bound)를 닫힌 해 형태로 구하였다. 3 개의 기준국 또는 센서를 사용하여 2차원의 발신자 위치를 추정할 때, BLUE 추정기를 사용하여 CRLB를 구하기 위해서 발신자의 위치에 대한 기준 위치를 설정한 후 이를 1 차 Taylor 급수로부터 유도된 근사회된 TDOA 쌍곡선 방정식을 사용하였다. 본 논문에서 근사화를 통해 구해진 유도식은 각 기준국 또는 센서에서의 TOA(Time of Arrival) 측정 잡음이 서로 상관관계가 없고 독립적이라는 가정하에서, 백색 가우시안 잡음에 대해서뿐만 아니라 평균이 제로인 모든 잡음에 대해서 적용할 수 있다.