• Title/Summary/Keyword: Costate 방법

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On the Optimal Control in the Linear Time Invariant System with non Terminal Boundary Conditions

  • Lee, Bong-Jin
    • Nuclear Engineering and Technology
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    • v.5 no.3
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    • pp.214-222
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    • 1973
  • The linear sequence method is expanded in such a way that it may be applied to the boundary problem with non terminal state condition and its possibility under the existence of a corresponding costate vector P(t) is found. For an application a couple of the concrete physical models are illustrated and examined the effect of the sequence.

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Computer Simulation of the Computational Method in Fuel Optimal Control

  • Lee, B.J.
    • Nuclear Engineering and Technology
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    • v.4 no.1
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    • pp.11-22
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    • 1972
  • Determination of a two-point boundary value problem is the key of finding the control function u(t) with the application of the fundamental idea of Minimum principle. The late development shows the discovery of the initial costate vector for the solution of a two-point value problem. As a new technique of determining the optimal control function, Newton's Sequential method is examined about a number of engineering problems and found available.

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The Development of Optimal Power Flow Algorithm Considering Environmental Constants (환경제약을 고려한 최적조류계산 알고리즘의 개발에 관한 연구)

  • Kim, Yong-Ha;Lee, Buhm;Choi, Sang-Kyu;Moon, Hyuc-Ki;Jung, Hyun-Sung
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.51 no.11
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    • pp.551-558
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    • 2002
  • This paper describes an optimal power flow algorithm considering environmental constraints. In this algorithm, we use the costate method, concepts of fictitious generator, variable reduction and effective constraint for the effective linear programming application. Especially we consider environmental constraints. The proposed method is applied to IEEE RTS-30 model system, 24 and 96 Reliability Test Systems and the results shows the effectiveness of the method.

Computational Method of Fuel Optimal Control in Regulator System

  • Lee, Bong-Jin
    • Nuclear Engineering and Technology
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    • v.1 no.2
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    • pp.79-85
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    • 1969
  • Determination of a two-point boundary value problem is the key of finding the control function u(f) with the application of the fundamental idea of Minimum principle. The late development shows the discovery of the initial testate vector for the solution of a two-point value problem. As a new technique of determining the optimal control function, Newton's sequential method is examined in this paper.

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The Development of Algorithm for Evaluating Power Wheeling Effects (전력탁송영향평가 알고리즘 개발에 관한 연구)

  • Kim, Yong-Ha;Lee, Buhm;Choi, Sang-Kyu;Park, Sang-Min;Cho, Jae-Han
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.10
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    • pp.1247-1250
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    • 1999
  • This paper presents an algorithm for evaluating power wheeling effects. For a specific operating condition, the effects are quantified by the sensitivity of specific quantities of interest with respect to power wheeling level. Quantities of interest are total operating cost, transmission losses, and system security which is quantified with several indices. The model and solution method are applied on a example power system and the results are presented.

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A Study on Development of Power Transfer Capability Calculation Algorithm Considering the Closest Saddle Node Bifurcation for Voltage Stability (최단붕괴 전압안정도여유를 고려한 수송능력산정 알고리즘의 개발에 관한 연구)

  • 김용하;정현성;나인규;조성린;이재걸
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.52 no.10
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    • pp.557-562
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    • 2003
  • This paper presents a power transfer capability calculation algorithm considering the closest saddle node bifurcation for voltage stability margin. In this method, voltage stability margin constraints considering the closest saddle node bifurcation are incorporated into a power transfer capability formulation to guarantee adequate voltage security levels in an interconnected power system. The proposed method is applied to IEEE-24 reliability test system and the results show the effectiveness of the method.

A Study on Shape Optimization of Distributed Actuators using Time Domain Finite Element Method (시간유한요소법을 이용한 분포형 구동기의 형상최적화에 관한 연구)

  • Suk, Jin-Young;Kim, You-Dan
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.9
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    • pp.56-65
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    • 2005
  • A dynamic analysis method that freezes a time domain by discretization and solves the spatial propagation equation has a unique feature that provides a degree of freedom on spatial domain compared with the space discretization or space-time discretization finite element method. Using this feature, the time finite element analysis can be effectively applied to optimize the spatial characteristics of distributed type actuators. In this research, the time domain finite element method was used to discretize the model. A state variable vector was used in the discretization to include arbitrary initial conditions. A performance index was proposed on spatial domain to consider both potential and vibrational energy, so that the resulting shape of the distributed actuator was optimized for dynamic control of the structure. It is assumed that the structure satisfies the final rest condition using the realizable control scheme although the initial disturbance can affect the system response. Both equations on states and costates were derived based on the selected performance index and structural model. Ricatti matrix differential equations on state and costate variables were derived by the reconfiguration of the sub-matrices and application of time/space boundary conditions, and finally optimal actuator distribution was obtained. Numerical simulation results validated the proposed actuator shape optimization scheme.