• Title/Summary/Keyword: Nonlinear interior point method

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A Framework for Determining Minimum Load Shedding for Restoring Solvability Using Outage Parameterization

  • Hwachang Song;Lee, Byongjun
    • KIEE International Transactions on Power Engineering
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    • v.4A no.2
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    • pp.73-78
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    • 2004
  • This paper proposes a framework for determining the minimum load shedding for restoring solvability. The framework includes a continuation power flow (CPF) and an optimal power flow (OPF). The CPF parameterizes a specified outage from a set of multiple contingencies causing unsolvable cases, and it traces the path of solutions with respect to the parameter variation. At the nose point of the path, sensitivity analysis is performed in order to achieve the most effective control location for load shedding. Using the control location information, the OPF for locating the minimum load shedding is executed in order to restore power flow solvability. It is highlighted that the framework systematically determines control locations and the proper amount of load shedding. In a numerical simulation, an illustrative example of the proposed framework is shown by applying it to the New England 39 bus system.

Dynamic State Feedback Controller Synthesis for Fuzzy Models (퍼지 모델을 위한 동적 상태 피드백 제어기 설계)

  • Chang, Wook;Joo, Young-Hoon;Park, Jin-Bae
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.528-530
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    • 1999
  • This paper addresses the analysis and design of fuzzy control systems for a class of complex single input single output nonlinear systems. Firstly, the nonlinear system is represented by well-known Takagai-Sugeno (TS) fuzzy model and the global controller is constructed by compensating each linear model in the rule of TS fuzzy model. The design of conventional TS fuzzy-model-based controller usually is composed of two processes. One is to determine static state feedback gain of each local model and the other is to validate the stability of the designed fuzzy controller. In this paper, we propose an alternative of the design of TS fuzzy-model-based controller. The design scheme is based on the extension of conventional optimal control theory to the design of TS fuzzy-model-based controller. By using the proposed method the design and stability analysis of the TS fuzzy model-based controller is reduced to the problem of finding the solution of a set of algebraic Riccati equations. And we use the recently developed interior point method to find the solution of AREs, where AREs are recast as the LMI formulation. One simulation example is given to show the effectiveness and feasibility of the proposed fuzzy controller design method.

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ON GLOBAL EXPONENTIAL STABILITY FOR CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAYS

  • Kwon, O.M.;Park, Ju-H.;Lee, S.M.
    • Journal of applied mathematics & informatics
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    • v.26 no.5_6
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    • pp.961-972
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    • 2008
  • In this paper, we consider the global exponential stability of cellular neural networks with time-varying delays. Based on the Lyapunov function method and convex optimization approach, a novel delay-dependent criterion of the system is derived in terms of LMI (linear matrix inequality). In order to solve effectively the LMI convex optimization problem, the interior point algorithm is utilized in this work. Two numerical examples are given to show the effectiveness of our results.

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Optimal Capacitor Placement Considering Voltage-stability Margin with Hybrid Particle Swarm Optimization

  • Kim, Tae-Gyun;Lee, Byong-Jun;Song, Hwa-Chang
    • Journal of Electrical Engineering and Technology
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    • v.6 no.6
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    • pp.786-792
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    • 2011
  • The present paper presents an optimal capacitor placement (OCP) algorithm for voltagestability enhancement. The OCP issue is represented using a mixed-integer problem and a highly nonlinear problem. The hybrid particle swarm optimization (HPSO) algorithm is proposed to solve the OCP problem. The HPSO algorithm combines the optimal power flow (OPF) with the primal-dual interior-point method (PDIPM) and ordinary PSO. It takes advantage of the global search ability of PSO and the very fast simulation running time of the OPF algorithm with PDIPM. In addition, OPF gives intelligence to PSO through the information provided by the dual variable of the OPF. Numerical results illustrate that the HPSO algorithm can improve the accuracy and reduce the simulation running time. Test results evaluated with the three-bus, New England 39-bus, and Korea Electric Power Corporation systems show the applicability of the proposed algorithm.

Fault Analysis of IPM type BLDC Motor Using Nonlinear Modeling of Stator Inter Turn Faults (고정자 절연파괴 비선형 모델링을 이용한 매입형 영구자석 전동기의 고장분석)

  • Kim, Kyung-Tae;Hur, Jin
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.3
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    • pp.531-537
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    • 2011
  • This paper proposes a finite element method (FEM)-based model of an interior permanent magnet (IPM) type BLDC motor having stator inter-turn faults. For more realistic simulation studies, the magnetic non-linearity is also considered in proposed model. And the simulation data are verified through experiment. By integrating the developed model with a current-controlled voltage source inverter (CCVSI) model, the characteristics of an inter-turn fault operated by six-switched inverter are investigated considering the speed control. And the circulating current, which is induced by magnetic linkage flux originated from PM, was analyzed from the view point of distortion of air-gap magnetic flux distribution caused deterioration of their torque.

Optimal Reactive Power Planning with a Nonlinear Interior Point Method (비선형 내점법을 이용한 조상설비 최적화 방안 연구)

  • Kim, Tae-Gyun;Kim, Jae-Won;Lee, Byong-Joon;Jung, Eung-Soo;Cho, Jong-Man
    • Proceedings of the KIEE Conference
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    • 2007.07a
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    • pp.481-482
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    • 2007
  • 무효전력 계획은 크게 계통운용계획과 투자비용계획으로 구분할 수 있다. 본 논문은 조상설비 투입계획 관점에서 주 쌍대 비선형 내점법을 이용한 조상설비 최적화 모의를 수행한다. 실 계통 규모의 대규모 계통을 모의하기 위하여 모선번호 ordering 기법 및 고성능 LU 분해 기법을 적용하였으며 조상설비 계획문제에 포함되는 이산변수의 처리는 투입위치 및 용량의 정수화를 통하여 최적화 문제에 이산변수를 포함하지 않도록 한다. 본 알고리즘은 2006년도 한전계통의 조상설비 현황을 바탕으로 하여 2008년도 계통상태에 대한 조상설비 투입계획 모의에 적용한다.

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