• 대한기계학회논문집
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• 제17권1호
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• pp.215-222
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• 1993

본 연구에서는 판 스프링의 길이가 두께에 비하여 비교적 큰 것을 고려하여 판스프링의 기하학적 치수와 물성치들을 이용하여 판스프링의 강성과 조립된판 스프링 집합체의 강성을 예측할 수 있는 방법을 본 이론과 변형률 에너지이론을 적용하여 개 발하였고 그 개발된 방법으로 구한 강성예측치와 특성실험에서 얻은 강성치를 비교, 분석하여 판 스프링 강성해석 방법의 신뢰성을 보임과 동시에 독자적인 홀드다운스프 링 집합체의 특성해석 방법을 제시 하였다.

• Journal of Electrical Engineering and Technology
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• 제6권3호
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• pp.391-396
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• 2011

The tracking pattern formed on the dielectric surface due to a surface electrical discharge exhibits fractal structure. In order to quantitatively investigate the fractal characteristics of the surface tracking pattern, the dielectric breakdown model has been employed to numerically generate the surface tracking pattern. In dielectric breakdown model, the pattern growth is determined stochastically by a probability function depending on the local electric potential difference. For the computation of the electric potential for all points of the lattice, a two-dimensional discrete Laplace equation is solved by mean of the successive over-relaxation method combined to the Gauss-Seidel method. The box counting method has been used to calculate the fractal dimensions of the simulated patterns with various exponent $\eta$ and breakdown voltage $\phi_b$. As a result of the simulation, it is found that the fractal nature of the surface tracking pattern depends strongly on $\eta$ and $\phi_b$.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1999년도 하계학술대회 논문집 E
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• pp.2287-2289
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• 1999

In this paper, a new method for calculating capacitance in multi-electrode system with arbitrarily shape is presented. This new approach based on divergence theorem and Gauss's law is achieved by Surface-Contacted Element(SCE) for Gaussian surface. To evaluate capacitance in multi-electrode system, two dimensional finite element method using only the elements which is contacted one nod (PE: Point-Element) or two nod (FE: Face-Element) with surface is employed. The proposed SCE method has short computing time to calculate capacitance which is because it uses only SCE elements and needs one calculation loop while exiting FEM method in servral loops. This method is verified by application in calculating capacitance using potential detection device model which is composed with anode, cathode, and floating electrode.

• 한국정밀공학회지
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• 제21권7호
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• pp.76-82
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• 2004

The solutions of neighboring optimal control are typically obtained using the sweep method or transition matrices. Due to the numerical integration, however, the gain matrix can become infinite as time go to final one in the transition matrices, and the Riccati solution can become infinite when the final time free. To overcome these disadvantages, this paper proposes the pseudospectral Legendre method which is to first discreteize the linear boundary value problem using the global orthogonal polynomial, then transforms into an algebraic equations. Because this method is not necessary to take any integration of transition matrix or Riccati equation, it can be usefully used in real-time operation. Finally, its performance is verified by the numerical example for the space vehicle's orbit transfer.

• 융합신호처리학회논문지
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• 제12권3호
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• pp.163-168
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• 2011

본 논문은 감마보정을 위한 비선형 곡선 알고리즘의 개선에 관한 연구이다. 기존의 비선형 감마 곡선 생성 방법은 Gauss-Jordan 역행렬을 적용한 최소 자승 다항식(Least Square Polynomial)을 사용하였다. 이 방법은 다항식 계수 값 계산 과정 중 고차행렬의 역행렬 연산에서 $10^{-11}$ 이하의 매우 작은 값은 절단함으로써 곡선접합의 정밀도가 감소된다. 또한 입력으로 사용되는 샘플 포인트가 10-bit 기준으로 0~1023의 밝기 값에 대하여 고루 분포되어있는 경우에만 정확한 동작이 가능하다. 본 논문은 이러한 기존 알고리즘의 단점을 보완하기 위하여, 고차 다항식의 계수 값을 반데몬드 행렬(Vandemond Matrix)에 SVD분해(Singular Value Decomposition)와 QR분해법(QR Decomposition)을 적용하여 행렬의 고유치와 직교성분만으로 연산하였다 또한, 입력 데이터의 구간을 분할하여 각 구간의 다항식을 생성하고, 새롭게 생성된 다항식을 이용하여 곡선 접합을 수행하도록 하였다. 입력 데이터와 곡선 접합결과의 평균제곱오차(Mean Square Error: MSE)와 표준편차(Standard Deviation: STD)를 통한 오차율 비교 결과 최하위 비트(Least Significant Bit: LSB) 에러 범위에서 MSE가 약 $10^{-9}$ 이고 STD는 약 $10^{-5}$로 정밀도가 향상되었다.

• 한국산학기술학회논문지
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• 제17권8호
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• pp.536-543
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• 2016

접지 시스템은 전력설비의 안전적 운영을 위해 필수적이며, 주요 고려대상인 대지저항률은 토양 종류, 수분, 온도에 따라 변하기 때문에 접지 시스템 설계에서 가장 중요하다. 제주의 지질구조는 화산지역의 특성상 다층구조를 형성하고 있어 지질구조에 따른 접지 저항값은 동일한 접지시스템 구축 지역이라도 지층구조에 따라 접지저항값이 다르게 나타날 수 있다. 본 논문에서는 제주의 대표적인 3종류의 토양에 접지를 설치하였을 때 접지저항 특성 변화를 분석하기 위해 3층 구조의 토양목업 시스템을 구성하였다. 구성된 토양 목업 시스템에서 웨너법을 사용하여 대지저항률을 측정하였으며, 대지모델을 수치적으로 분석할 수 있는 역산방법으로 Gauss-Newton 알고리즘을 사용하여 대지모델을 생성하였다. 기존 접지분야에서 사용되는 1차원 대지분석이 아닌 2차원 역산방법을 적용한 결과 실제 토양 목업에 구성한 3종류 층상 구조와 같은 3층 대지구조로 나타낼 수 있었다. 또한 일반적으로 접지에 사용되는 동봉, 동관, 탄소봉을 사용하여 접지의 변화특성을 분석한 결과 수분공급 상태에 따른 접지저항 변화폭은 동봉은 $2.9[{\Omega}]$, 동관은 $16.5[{\Omega}]$, 탄소봉의 경우 $20.1[{\Omega}]$으로 나타났으며, 수분의 영향으로 .탄소봉의 접지저항이 $141[{\Omega}]$으로 가장 낮게 나타남을 확인 하였다.

• Journal of Mechanical Science and Technology
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• 제17권4호
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• pp.538-544
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• 2003

Although many methodologies exist for determining the constrained equations of motion, most of these methods depend on numerical approaches such as the Lagrange multiplier's method expressed in differential/algebraic systems. In 1992, Udwadia and Kalaba proposed explicit equations of motion for constrained systems based on Gauss's principle and elementary linear algebra without any multipliers or complicated intermediate processes. The generalized inverse method was the first work to present explicit equations of motion for constrained systems. However, numerical integration results of the equation of motion gradually veer away from the constraint equations with time. Thus, an objective of this study is to provide a numerical integration scheme, which modifies the generalized inverse method to reduce the errors. The modified equations of motion for constrained systems include the position constraints of index 3 systems and their first derivatives with respect to time in addition to their second derivatives with respect to time. The effectiveness of the proposed method is illustrated by numerical examples.

• International Journal of Aeronautical and Space Sciences
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• 제10권1호
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• pp.112-121
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• 2009

This paper deals with supersonic air-breathing missile system. A supersonic air-breathing missile system has very complicated and incoherent thrust characteristics with respect to outer and inner environment during operation. For this reason, the missile system has many maneuver constraints and is allowed to operate within narrow flight envelope. In this paper, trajectory optimization of the missile is accomplished. The trajectory optimization problem is formulated as a discrete parameter optimization problem. For this formulation, Legendre Pseudo-Spectral method is introduced. This method is based on calculating the state and control variables on Legendre-Gauss-Lobatto (LGL) points. This approach helps to find approximated derivative and integration quantities simply. It is shown that, for this trajectory optimization, trend analysis is performed from thrust characteristics on various conditions so that the trajectory optimization is accomplished with fine initial guess with these results.

• 전기학회논문지
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• 제63권9호
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• pp.1266-1272
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• 2014

We define the mobile robot navigation problem as an optimization problem to minimize the cost function with the pose error between the goal position and the position of a mobile robot. Using Gauss-Newton method for the optimization, the optimal speeds of the left and right wheels can be found as the solution of the optimization problem. Especially, the rotational speed of wheels of a mobile robot can be directly related to the overall speed of a mobile robot using the Jacobian derived from the kinematic model. When the robot detects the obstacle using sensors, the sub-goal switching method is adopted for the efficient obstacle avoidance during the navigation. The performance was evaluated using the simulation and the simulation results show the validity of the proposed method.

• 대한전기학회논문지
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• 제36권6호
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• pp.390-395
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• 1987

There is a variety not only of research topics but also of research techniques in electric power problems. It is well known that a significant increase in the rate of convergence can be obtained for the Gauss-Seidel method using the bus admittance matrix by applying acceleration factors determined empirically. The acceleration factor is calculated theoretically by using the bus voltage sensitivity (buses voltage interact each other) in this paper. It is observed that the proposed method using calculated acceleration factor gives better results than those of the method using calculated acceleration factor gives better results than those of the method using empirical one.