• Title/Summary/Keyword: analytic system

Search Result 1,617, Processing Time 0.028 seconds

ANALYTIC SOLUTIONS OF THE CAUCHY PROBLEM FOR THE GENERALIZED TWO-COMPONENT HUNTER-SAXTON SYSTEM

  • Moon, Byungsoo
    • Honam Mathematical Journal
    • /
    • v.37 no.1
    • /
    • pp.99-112
    • /
    • 2015
  • In this paper we consider the periodic Cauchy problem for the generalized two-component Hunter-Saxton system with analytic initial data and we prove a Cauchy-Kowalevski type theorem for the generalized two-component Hunter-Saxton system, that establishes the existence and uniqueness of real analytic solutions.

Trajectory Following Control Using Cogging Force Model in Linear Positioning System

  • Chung, Myung-Jin;Gweon, Dae-Gab
    • International Journal of Precision Engineering and Manufacturing
    • /
    • v.3 no.3
    • /
    • pp.62-68
    • /
    • 2002
  • To satisfy the requirement of the one axis linear positioning system, which is following control of the desired trajectory without following error and is the high positioning accuracy, feed-forward loop having cogging force model is proposed. In the one axis linear positioning system with linear PM motor, cogging force acting as disturbance is modeled analytically. Analytic model of cogging force is verified by result measured from positioning system constructed with linear PM motor. Measured result is very similar with proposed analytic model. Cogging force model is used as feet forward loop in control scheme of linear positioning system. Cogging force feed-forward'loop is obtained from analytic model of cogging farce. Trajectory following error is reduced from 300nm to 100nm by applying the proposed cogging farce feed-forward loop. By using analytic model of cogging force, the control scheme is simplified. Also this analytic model is applicable to calculation of characteristic value of positioning system in design process.

An Improved Analytic Model for Power System Fault Diagnosis and its Optimal Solution Calculation

  • Wang, Shoupeng;Zhao, Dongmei
    • Journal of Electrical Engineering and Technology
    • /
    • v.13 no.1
    • /
    • pp.89-96
    • /
    • 2018
  • When a fault occurs in a power system, the existing analytic models for the power system fault diagnosis could generate multiple solutions under the condition of one or more protective relays (PRs) and/or circuit breakers (CBs) malfunctioning, and/or an alarm or alarms of these PRs and/or CBs failing. Therefore, this paper presents an improved analytic model addressing the above problem. It takes into account the interaction between the uncertainty involved with PR operation and CB tripping and the uncertainty of the alarm reception, which makes the analytic model more reasonable. In addition, the existing analytic models apply the penalty function method to deal with constraints, which is influenced by the artificial setting of the penalty factor. In order to avoid the penalty factor's effects, this paper transforms constraints into an objective function, and then puts forward an improved immune clonal multi-objective optimization algorithm to solve the optimal solution. Finally, the cases of the power system fault diagnosis are served for demonstrating the feasibility and efficiency of the proposed model and method.

Analysis of Flow Field in Cavity Using Finite Analytic Method (F.A.M.을 이용한 공동 내부의 유동해석)

  • 박명규;정정환;김동진
    • Journal of Advanced Marine Engineering and Technology
    • /
    • v.15 no.4
    • /
    • pp.46-53
    • /
    • 1991
  • In the present study, Navier-Stokes equation is numerically solved by use of a Finite analytic method to obtain the 2-dimensional flow field in the square cavity. The basic idea of F.A.M. is the incorporation of local analytic solutions in the numerical solution of linear or non-linear partial differential equations. In the F.A.M., the total problem is subdivided into a number of all elements. The local analytic solution is obtained for the small element in which the governing equation, if non-linear, to be linearized. The local analytic solutions are then expressed in algebraic form and are overlapped to cover the entire region of the problem. The assembly of these local analytic solutions, which still preserve the overall nonlinearity of the governing equations, results in a system of linear algebraic equations. The system of algebraic equations is then solved to provide the numerical solutions of the total problem. The computed flow field shows the same characteristics to physical concept of flow phenomena.

  • PDF

An Analysis of the Optimal Control of Air-Conditioning System with Slab Thermal Storage by the Gradient Method Algorithm (구배법 알고리즘에 의한 슬래브축열의 최적제어 해석)

  • Jung, Jae-Hoon
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
    • /
    • v.20 no.8
    • /
    • pp.534-540
    • /
    • 2008
  • In this paper, the optimal bang-bang control problem of an air-conditioning system with slab thermal storage was formulated by gradient method. Furthermore, the numeric solution obtained by gradient method algorithm was compared with the analytic solution obtained on the basis of maximum principle. The control variable is changed uncontinuously at the start time of thermal storage operation in an analytic solution. On the other hand, it is showed as a continuous solution in a numeric solution. The numeric solution reproduces the analytic solution when a tolerance for convergence is applied severely. It is conceivable that gradient method is effective in the analysis of the optimal bang-bang control of the large-scale system like an air-conditioning system with slab thermal storage.

Architecture and performance analysis of multiprocessor ESS (다중 프로세서 전전자 교환기의 구조 및 성능분석)

  • Park, Heon-Chul;Kwon, Wook-Hyun
    • Proceedings of the KIEE Conference
    • /
    • 1987.07b
    • /
    • pp.1026-1030
    • /
    • 1987
  • This paper proposes analytic models of the large scale ESS's control system which has the multiprocessor architecture. The performance indices such as the ringback tone delay, busy tone delay, queue length and processor idletime are investigated through the analytic model. The system bottleneck is also analyzed. For the validation of analytic models, its simulation is performed using the SDL/SIM package for the case of 100,000 subscribers. From computer simulation, the results of analytic models are shown to be similar to the results of simulation models, which validates the analytic models.

  • PDF

WEIGHTED COMPOSITION OPERATORS ON WEIGHTED SPACES OF VECTOR-VALUED ANALYTIC FUNCTIONS

  • Manhas, Jasbir Singh
    • Journal of the Korean Mathematical Society
    • /
    • v.45 no.5
    • /
    • pp.1203-1220
    • /
    • 2008
  • Let V be an arbitrary system of weights on an open connected subset G of ${\mathbb{C}}^N(N{\geq}1)$ and let B (E) be the Banach algebra of all bounded linear operators on a Banach space E. Let $HV_b$ (G, E) and $HV_0$ (G, E) be the weighted locally convex spaces of vector-valued analytic functions. In this paper, we characterize self-analytic mappings ${\phi}:G{\rightarrow}G$ and operator-valued analytic mappings ${\Psi}:G{\rightarrow}B(E)$ which generate weighted composition operators and invertible weighted composition operators on the spaces $HV_b$ (G, E) and $HV_0$ (G, E) for different systems of weights V on G. Also, we obtained compact weighted composition operators on these spaces for some nice classes of weights.

A Model of Analytic Network Process for the evaluation of R&D (연구개발 평가를 위한 ANP(Analytic Network Process) 모형)

  • 이영찬;정민용
    • Journal of Korean Society of Industrial and Systems Engineering
    • /
    • v.25 no.5
    • /
    • pp.67-74
    • /
    • 2002
  • Technology Management and Research & Development(R&D) have been one of the most difficult divisions for measurement and evaluation. In spite of these difficulties, the importance of R&D has been dramatically increased. It is very difficult to manage more efficiently and effectively than any other departments of production, finance, marketing and so on. As criticizing the shortcomings of the traditional evaluation system in making decisions for corporate management which has only been focused on financial indices, so Kaplan & Norton has suggested the Balanced Scorecard(BSC) which can be managed Critical Success Factors(CSF) in accordance with corporate's strategy. The Analytic Network Process(ANP), based on the Analytic Hierarchy Process, allows the decision makers to leap beyond the traditional hierarchy to the interdependent environment of network modeling. Based on BSC, this study has developed the evaluation system for R&D which has used ANP transforming quantitative and qualitative indices to the quantifying scales in evaluating R&D.

Optimization of Pumped-Storage Energy in Operation Aspect Using the Analytic Cost Function (전선차용계면에서의 아수발전성 최적화를 위한 해석적 앨고리즘에 관한 연구)

  • 박영문;서보혁
    • The Transactions of the Korean Institute of Electrical Engineers
    • /
    • v.32 no.5
    • /
    • pp.176-182
    • /
    • 1983
  • This paper derives a newly neveloped analytic optimal condition to minimize the operating cost of a generation system in the aspect of Power System Planning, When the system includes pumped-storage units. The analytic optimal condition is derived by defferentiating the analytic cost function, Which were obtained by assuming the load and generating as Gaussian random variables, with respect to the variations of pumping energy. The condition is resulted in very simple form and various optimization techniques can be used. The simulation results of a case study were compared with the results of the conventional methods to prove the usefulness of the algorithm.

Reliability Evaluation of Distribution System Via Analytic Network Process (망상형 의사결정법에 의한 배전계통 신뢰성 평가)

  • Kim, Yong-Ha;Lee, Buhm;Choi, Sang-Kyu
    • The Transactions of the Korean Institute of Electrical Engineers A
    • /
    • v.50 no.10
    • /
    • pp.447-453
    • /
    • 2001
  • This paper presents the unified reliability evaluation technique of distribution system. To calculate accurate reliabi1ity and reliability indices which can consider line limitation and voltage drop of distribution system, we employed the deterministic evaluation technique with PLOC technique. And to evaluate the distribution system, we presented the evaluating method which is based on Analytic network process. As a result, we can evaluate the distribution system and build the expansion planning of the system considering system load and reliability indices.

  • PDF