• 대한전기학회논문지:전력기술부문A
• /
• 제54권2호
• /
• pp.67-72
• /
• 2005

In conventional small signal stability analysis, system is assumed to be invariant and the state space equations are used to calculate the eigenvalues of state matrix. However, when a system contains switching elements such as FACTS devices, it becomes non-continuous system. In this case, a mathematically rigorous approach to system small signal stability analysis is by means of eigenvalue analysis of the system periodic transition matrix based on discrete system analysis method. In this paper, RCF(Resistive Companion Form) method is used to analyse small signal stability of a non-continuous system including switching elements. Applying the RCF method to the differential and integral equations of power system, generator, controllers and FACTS devices including switching elements should be modeled in the form of state transition equations. From this state transition matrix eigenvalues which are mapped to unit circle can be calculated.

• KIEE International Transactions on Power Engineering
• /
• 제5A권4호
• /
• pp.344-349
• /
• 2005

In conventional small signal stability analysis, the system is assumed to be invariant and the state space equations are used to calculate the eigenvalues of the state matrix. However, when a system contains switching elements such as FACTS equipments, it becomes a non-continuous system. In this case, a mathematically rigorous approach to system small signal stability analysis is performed by means of eigenvalue analysis of the system's periodic transition matrix based on the discrete system analysis method. In this paper, the RCF (Resistive Companion Form) method is used to analyze the small signal stability of a non-continuous system including switching elements. Applying the RCF method to the differential and integral equations of the power system, generator, controllers and FACTS equipments including switching devices should be modeled in the form of state transition equations. From this state transition matrix, eigenvalues that are mapped into unit circles can be computed precisely.

• 대한전기학회:학술대회논문집
• /
• 대한전기학회 2004년도 하계학술대회 논문집 A
• /
• pp.342-344
• /
• 2004

In conventional small signal stability analysis, system is assumed to be invariant and the state space equations are used to calculate the eigenvalues of state matrix. However, when a system contains switching elements such as FACTS devices, it becomes non-continuous system. In this case, a mathematically rigorous approach to system small signal stability analysis is by means of eigenvalue analysis of the system periodic transition matrix based on discrete system analysis method. In this research, RCF(Resistive Companion Form) method is used to analyse small signal stability of a non-continuous system including switching elements'. Applying the RCF method to the differential and integral equations of power system, generator, controllers and FACTS devices including switching elements should be modeled in the form of state transition matrix. From this state transition matrix eigenvalues which are mapped to unit circle can be calculated.

• 대한산업공학회지
• /
• 제11권2호
• /
• pp.1-9
• /
• 1985

In this study, two stage transfer line with limited repair capability is modeled to formulate optimal dynamic repair priority policy. The method of Markov Chains is used to analyze the analytical model of this line. An efficient algorithm is developed, utilizing the block tridiagonal structure of the transition probability matrix, to obtain the steady state probabilities and system performance measures, such as the steady state production rate of the line and the average in-process inventory in the interstage buffer.

• 품질경영학회지
• /
• 제20권1호
• /
• pp.11-21
• /
• 1992

The Purpose of this paper contribute to design the multistate Markov process for the reliability of a system when the transition-rates of each unit depend on the current state of the system. The system transition-rate matrix has the form of the kronecker sum of transition rate matrices for the units, is analyzed and investigated. As a result, the system which has the state-dependent units is detaily analyzed and introduced by the approach of an algorithm for the system transition-rate matrix based on the kronecker algebra.

• 대한기계학회논문집A
• /
• 제25권12호
• /
• pp.2040-2047
• /
• 2001

In this paper, a singularity problem of the state transition matrix is investigated in the spatial propagation when the spatial matrix differential equation is constructed via time finite element analysis. A parametric study shows that the degree of singularity of the state transition matrix depends on the degree of flexibility of the structures. As an alternative to avoid the numerical problems due to the singularity, an analytic solution fur spatial propagation of the flexible structures is proposed. In the proposed method, the spatial properties of the structure are analytically expressed by a combination of transcendental functions. The analytic solution serves fast and accurate results by eliminating the possibility of the error accumulation caused by the boundary condition. Several numerical examples are shown to validate the effectiveness of the proposed methods.

• 대한화장품학회지
• /
• 제31권2호
• /
• pp.135-140
• /
• 2005

본 연구는 고형상 에멀젼의 표면에서 일어나는 물리적 특성을 레올로지를 이용해 관찰해 보았다. 고형상 에멀젼이 전단변형에 따라 고상에서 액상으로의 전이시 전단속도가 큰 고형상 에멀젼의 경우 낮은 전단변형과 높은 전단변형에서 두 번의 전이구간을 보여주는 반면에 전단속도가 작은 고형상 에멀젼의 경우 높은 전단변형에서 전이구간이 한 번만 나타내는 것을 볼 수 있었다. 이는 고형상 에멀젼의 전단변형에 따른 표면의 물리적 특성이 중요한 요소로서 고형상 에멀젼의 구성요소에 따라 변화하게 된다. 유상과 수상으로 구성되어진 고형상 에멀젼에서 수상의 함량이 증가하게 되면 표면전이(surface transition) 구간이 점점줄어들다가 사라지는 것을 볼 수 있었으며, 유상과 분체로 구성되어진 고형상 에멀젼에서는 분체의 함량이 증가함에 따라 표면전이 구간이 점점 증가하는 것을 볼 수 있었다. 그리고 유상, 수상 그리고 분체로 이루어진 고형상 에멀젼에서는 분체의 함량이 증가함에 따라 표면전이 구간이 점점 줄어들다가 사라지는 것을 볼 수 있었다.

• 한국통신학회논문지
• /
• 제24권6A호
• /
• pp.888-893
• /
• 1999

본 논문에서는 광기록저장장치를 위한 M-ary 다중트랙 런길이 제한 코드(Run-length Limited, RLL)를 제안하고, 각각의 (d,k) 조건에 따른 채널용량과 기록밀도를 계산하였다. 이를 위하여 우선 M-ary 다중트랙 (d,k) 코드를 위한 일반적인 상태전이행렬(State transition matrix)을 구하며, 그 행렬의 최대 고유치(eigenvalue)를 이용하여 채널용량을 구한다. 단일트랙코드와 비교할 때, 작은 k 값에서도 채널용량이 한계치에 도달함을 알 수 있었다.

• 한국군사과학기술학회지
• /
• 제2권2호
• /
• pp.131-139
• /
• 1999

An easy and efficient method is proposed for a computation of reliability of preprocessing filters in the fire control system when the sensor data are frequently unreliable depending on the operation environment. It computes state transition probability matrix after modeling filter states as a Markov process, and computing false alarm and detection probability of each filter state under the given sensor failure probability. It shows that two important indices such as distributed state probability and error variance can be derived easily for a reliability assessment of the given sensor fusion system.

• 한국경영과학회지
• /
• 제16권2호
• /
• pp.128-147
• /
• 1991

We propose a dynamic incidence matrix (DIM) for reflecting states and time conditions of a timed Petri net (TPN) explicitly. Since a DIM consists of a conventional incidence matrix, two time-related vectors and two state-related vectors, we can get the advantages inherent in the conventional incidence matrix of describing a static structure of a system as well as another advantage of expressing time dependent state transitions. We introduce an algorithm providing the DIM with a state transition mechanism. Because the algorithm is, in fact, an algorithmic model for discrete event simulation of TPN models, we provide a theoretical basis of model transformation of a TPN model into a DEVS(Discrete Event system Specification) model. By executing the algorithm we can carry out performance analysis of computer communication protocols which are represented TPN models.