• Journal of applied mathematics & informatics
• /
• 제26권5_6호
• /
• pp.1057-1069
• /
• 2008

We consider singularly perturbed Boundary Value Problems (BVPs) for third and fourth order Ordinary Differential Equations(ODEs) of convection-diffusion type with discontinuous source term and a small positive parameter multiplying the highest derivative. Because of the type of Boundary Conditions(BCs) imposed on these equations these problems can be transformed into weakly coupled systems. In this system, the first equation does not have the small parameter but the second contains it. In this paper a computational method named as 'An asymptotic finite element method' for solving these systems is presented. In this method we first find an zero order asymptotic approximation to the solution and then the system is decoupled by replacing the first component of the solution by this approximation in the second equation. Then the second equation is independently solved by a fitted mesh Finite Element Method (FEM). Numerical experiments support our theoritical results.

• Nuclear Engineering and Technology
• /
• 제37권2호
• /
• pp.139-150
• /
• 2005

A robust control design procedure for a nuclear reactor has been developed and experimentally validated on the Penn State TRIGA research reactor. The utilization of the robust controller as a component of an autonomous control system is also demonstrated. Two methods of specifying a low order (fourth-order) nominal-plant model for a robust control design were evaluated: 1) by approximation based on the 'physics' of the process and 2) by an optimal Hankel approximation of a higher order plant model. The uncertainty between the nominal plant models and the higher order plant model is supplied as a specification to the ,u-synthesis robust control design procedure. Two methods of quantifying uncertainty were evaluated: 1) a combination of additive and multiplicative uncertainty and 2) multiplicative uncertainty alone. The conclusions are that the optimal Hankel approximation and a combination of additive and multiplicative uncertainty are the best approach to design robust control for this application. The results from nonlinear simulation testing and the physical experiments are consistent and thus help to confirm the correctness of the robust control design procedures and conclusions.

• 공업화학
• /
• 제10권1호
• /
• pp.166-172
• /
• 1999

폐수중 중금속 이온을 제거하기 위한 방법으로 키토산 비드에 의한 금속 이온의 고정층 흡착 특성을 조사하였다. 게껍질로부터 키틴을 추출하고 이를 탈아세틸화 반응시켜 키토산을 제조하였다. 키토산은 비드로 만들어 중금속 흡착제로 사용하였다. 키토산 비드에 대한 $Cu^{2+}$, $Co^{2+}$, $Ni^{2+}$ 이온의 단성분 평형 흡착 실험 결과로부터 Freundlich와 Langmuir 흡착등온식을 결정하였다. 흡착등온식에 의하면 키토산 비드에 대한 중금속 이온의 흡착 세기는 $Cu^{2+}$>$Co^{2+}$>$Ni^{2+}$의 순서로 나타났다. 키토산 비드에 대한 중금속 이온의 단성분 또는 다성분계 고정층 흡착 실험으로부터 흡착 파과곡선을 구하였다. 단성분 흡착등온식으로 다성분 흡착 평형을 예측할 수 있는 IAS (ideal adsorbed solution) 이론을 적용하여 LDFA (linear driving force approximation)에 의한 고정층 흡착 모델식을 수치해 기법으로 모사하여 실험결과와 비교하였다. LDFA에 의한 모델식을 적용한 결과 키토산 비드에 대한 중금속 이온의 단성분 및 다성분계 고정층 흡착거동을 잘 모사할 수 있었다.

• 대한조선학회논문집
• /
• 제31권2호
• /
• pp.91-98
• /
• 1994

대형구조계에 대하여 구조중량의 최소화를 기하면서 고유진동수 제한조건을 만족시키는 동특성 최적화에 효율적인 한 방법을 제안한다. 일련의 근사최적화문제를 형성하는데 있어서는 고유진동수의 설계파라메터에 대한 감도와 설계파라메터의 역에 대한 감도를 병용하는 근사방법을 사용하며, 설계변수의 변화에 따른 고유진동해석 및 감도계산은 저자가 조선학회논문집 제30권 제3호에 발표한 바 있는 부분구조진동형 합성방법에 의거한다. 설계파라메터에 대한 감도와 설계파라메터의 역에 대한 감도를 병용하는 근사방법은 전자만을 사용하는 근사방법에 비해 적은 회수의 재해석으로 고유진동수 제한조건을 만족하는 설계값을 얻을 수 있다. 또한 설계변경에 따른 재해석시 앞서 발표했던 부분구조진동형 합성방법의 장점을 활용하므로써 효율적인 재해석이 가능하다. 제안된 방법의 유용성은 외팔보유추 구조계 및 선체단순화 2-D FEM모델의 상부구조를 대상으로 한 수치예제를 통하여 검증되었다.

• 대한전기학회논문지:전력기술부문A
• /
• 제52권5호
• /
• pp.263-270
• /
• 2003

In field applications, to represent the degree of voltage unbalance, the maximum voltage deviation from the average is preferred to the voltage unbalance factor based on symmetrical component analysis. This paper first clarifies the relationship between the voltage unbalance factor and the maximum deviation factor showing that the maximum deviation factor approximates the voltage unbalance factor under relatively low unbalanced conditions. Several alternative ways of approximation are introduced and examined by comparing with the conventional maximum deviation factor. It appears that these alternatives provide more accurate approximation to the voltage unbalance factor over wider range of voltage unbalance while maintaining simplicity in their formula.

• Applied Microscopy
• /
• 제33권3호
• /
• pp.169-178
• /
• 2003

영상이론과 회절 이론을 같은 비중으로 다루고 이들과의 관계를 나타내는 wave optics 이론을 소개하였다. 결맞는 파동 이론과 결 안맞는 파동이론 사이의 차이를 나타내고 Abbe이론과 여러 가지 phase contrast 이론들을 small angle 근사로 접근하였다. 마지막으로 다중 성분 시스템에 대한 파동 광학의 수학적인 방법의 적용을 소개하였다.

• ETRI Journal
• /
• 제31권1호
• /
• pp.42-50
• /
• 2009

A new method for simulating voltage and current distributions in transmission lines is described. It gives the time domain solution of the terminal voltage and current as well as their line distributions. This is achieved by treating voltage and current distributions as distributed state variables (DSVs) and turning the transmission line equation into an ordinary differential equation. Thus the transmission line is treated like other lumped dynamic components, such as capacitors. Using backward differentiation formulae for time discretization, the DSV transmission line component is converted to a simple time domain companion model, from which its local truncation error can be derived. As the voltage and current distributions get more complicated with time, a new piecewise exponential with controllable accuracy is invented. A segmentation algorithm is also devised so that the line is dynamically bisected to guarantee that the total piecewise exponential error is a small fraction of the local truncation error. Using this approach, the user can see the line voltage and current at any point and time freely without explicitly segmenting the line before starting the simulation.

• International Journal of Control, Automation, and Systems
• /
• 제2권2호
• /
• pp.238-246
• /
• 2004

In displaying a virtual wall using a passive haptic device equipped with passive actuators such as electric brakes, unsmooth motion frequently occurs. This undesirable behavior is attributed to time delay due to slowness in the virtual environment update and force approximation due to the inability of a brake to generate torque in arbitrary directions. In this paper a new control scheme called direct control is proposed to achieve smooth display on the wall-following task with a passive haptic device. In direct control, brakes are controlled so that the normal component of a resultant force at the end-effector vanishes, based on the force analysis at the end-effector of the passive haptic device using the passive FME (Force Manipulability Ellipsoid). Various experiments have been conducted to verify the validity of the direct control scheme with a 2-link passive haptic system.

• Journal of applied mathematics & informatics
• /
• 제12권1_2호
• /
• pp.267-279
• /
• 2003

The present investigation deals with the application of Adomian's decomposition method to blood flow through a constricted artery in the presence of an external transverse magnetic field which is applied uniformly. The blood flowing through the tube is assumed to be Newtonian in character. The expressions for the two-term approximation to the solution of stream function, axial velocity component and wall shear stress are obtained in this analysis. The numerical solutions of the wall shear stress for different values of Reynold number and Hartmann number are shown graphically. The solution of this theoretical result for a particular Hart-mann number is compared with the integral method solution of Morgan and Young［17］.

• 전력전자학회:학술대회논문집
• /
• 전력전자학회 2012년도 전력전자학술대회 논문집
• /
• pp.244-245
• /
• 2012

본 논문에서는 이산 웨이블릿 변환(DWT;discrete wavelet transform)의 다해상도 분석(MRA;multi-resolution analysis)을 통해 분해된 배터리의 저주파 전압 성분(approximation;$A_n$) 기반 SOC(State-of-charge) 추정방법을 소개한다. 급격한 전압 변화의 특성을 나타내는 고주파 전압 성분(detail;$D_n$)이 제거되고 저주파 전압 성분만이 SOC 추정을 위해 사용된다. 이 경우 기존 확장 칼만필터(EKF;extended Kalman filter)에서 SOC 추정에러를 개선하기 위해 사용되었던 노이즈 모델의 생략이 가능하여 알고리즘의 복잡성이 개선된다. 개선된 확장 칼만필터 기반 SOC 추정 결과를 통해 제안된 방법을 검증하였다.