• Title/Summary/Keyword: Small Perturbation Model

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Eigenvalue Perturbation for Controller Parameter and Small Signal Stability Analysis of Large Scale Power Systems (제어기정수에 대한 고유치 PERTURBATION과 대규모 전력계통의 미소신호안정도 해석)

  • Shim, Kwan-Shik;Song, Sung-Gun;Moon, Chae-Ju;Lee, Ki-Young;Nam, Hae-Kon
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.51 no.11
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    • pp.577-584
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    • 2002
  • This paper presents a novel approach based on eigenvalue perturbation of augmented matrix(AMEP) to estimate the eigenvalue for variation of controller parameter. AMEP is a useful tool in the analysis and design of large scale power systems containing many different types of exciters, governors and stabilizers. Also, it can be used to find possible sources of instability and to determine the most sensitivity parameters for low frequency oscillation modes. This paper describes the application results of AMEP algorithm with respect to all controller parameter of KEPCO systems. Simulation results for interarea and local mode show that the proposed AMEP algorithm can be used for turning controller parameter, and verifying system data and linear model.

Analysis of dynamic characteristics of aerodynamically controlled STT missiles (공력 조종 STT 유도탄의 동특성 해석)

  • 송찬호;전병을
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1308-1311
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    • 1996
  • We propose a new linearized model which can be used very efficiently for the design and analysis of the autopilot of aerodynamically controlled skid-to-turn missiles. Proposed model is based on the linearized equations of the missile dynamics derived in the aerodynamic frame where xz plane contains the missile longitudinal axis and velocity vector. However, to take the effect due to the small perturbation of the missile body into consideration, we introduce a new frame which is identical to the aerodynamic frame in the trim state but after small perturbation it moves fixed with the missile body, and finally, the proposed model is set up in this frame. It is shown by nonlinear simulations and stability analysis of a numerical example that the new model describes the missile motion better than the conventional one linearized in the body frame with a certain amount of simplification.

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A study of a combined release model using perturbation solutions (섭동해를 이용한 혼합 누출에 관한 연구)

  • Kim, Myungbae
    • Journal of Energy Engineering
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    • v.23 no.4
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    • pp.41-48
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    • 2014
  • Leak of liquid has been categorized conventionally into instantaneous release and continuous release. In this study, the spread of cryogenic liquid due to limited period of release is investigated for the first time to establish a new classification method with recognizing the irrationality of the conventional one. Such physical phenomena are governed by simultaneous equations concerning volume, radius and height of pool of the cryogenic liquid, and major parameters are evaporation rate per unit area, time of release, and spill quantity. The simultaneous governing equations is decoupled to get efficiently perturbation solutions. As the results, for the same spill quantity, in view of release model, combined release model that consists of continuous and consecutive instantaneous model is necessary with small time of release, while continuous model is solely required with large time of release. Also, the combined model is necessary for small spill quantity with the same time of release. These two regimes of release are clearly distinguished using the perturbation solution to provide a clear basis for the new classification of release models.

Edge-Effect Reduction Technique to Compute the Backscattering from Randomly Rough Conducting Surfaces (거친 도체 표면 후방 산란 계산을 위한 모서리 효과 저감 기법)

  • Hwang, Ji-Hwan;Kweon, Soon-Koo;Oh, Yisok
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.25 no.5
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    • pp.585-591
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    • 2014
  • An improved numerical scattering model with the 2-dimensional moment method including roof-top basis and a modified window-function to reduce edge-effect is presented in this study. The roof-top basis function is used to depict randomly positioned surface currents and increase an efficiency of the moment method. To reduce the edge-effect which occurs at the end of numerically generated surfaces, an enhanced window-function which is weighted by incident angle variable is proposed. To validate an proposed 2-dimensional scattering model and numerical analysis techniques for randomly rough surfaces, computational results are compared and analyzed to SPM(Small Perturbation Model) as well.

Uncertainty quantification of the power control system of a small PWR with coolant temperature perturbation

  • Li, Xiaoyu;Li, Chuhao;Hu, Yang;Yu, Yongqi;Zeng, Wenjie;Wu, Haibiao
    • Nuclear Engineering and Technology
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    • v.54 no.6
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    • pp.2048-2054
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    • 2022
  • The coolant temperature feedback coefficient is an important parameter of reactor core power control system. To study the coolant temperature feedback coefficient influence on the core power control system of small PWR, the core power control system is built with the nonlinear model and fuzzy control theory. Then, the uncertainty quantification method of reactor core parameters is established based on the Latin hypercube sampling method and the Bootstrap method. Finally, under the conditions of reactivity step perturbation and coolant inlet temperature step perturbation, uncertainty analysis for two cases is carried out. The result shows that with fuzzy controller and fuzzy PID controller, the uncertainty of the coolant temperature feedback coefficient affects the core power control system, and the maximum uncertainties of core relative power, coolant temperature deviation, fuel temperature deviation and total reactivity are acceptable.

Small Small Signal Stability Anslysis by AMEP for Controller Parameter (제어기정수에 대한 AMEP와 대규모 전력계통에 미소신호안정도 해석)

  • Shim, K.S.;Song, S.G.;Nam, H.K.;Kim, Y.G.;Moon, C.J.
    • Proceedings of the KIEE Conference
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    • 2001.07a
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    • pp.112-115
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    • 2001
  • Eigenvalue perturbation theory of augmented system matrix(AMEP) is a useful tool in the analysis and design of large scale power systems. This paper describes the application results of AMEP algorithm with respect to all controller parameter of KEPCO systems. AMEP for interarea and local mode can be used for turning controller parameter, and verifying system data and linear model of controller.

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Steady State Analysis & Small Signal Modeling of Variable Duty Cycle Controlled Three Level LLC Converter (듀티 제어가 적용된 3레벨 LLC 컨버터의 정상상태 및 소신호 모델링)

  • Humaira, Hussain;Kim, Hag-Wone;Cho, Kwan-Yuhl
    • Proceedings of the KIPE Conference
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    • 2019.07a
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    • pp.317-319
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    • 2019
  • In this paper, a three level duty cycle controlled half bridge LLC converter for EV charger application is presented. The topology and operating regions of the converter are discussed. The equations of the converter are derived in time domain. A small signal model of the converter is developed by perturbation and linearization of the steady state model about their operating point using Extended Describing function.

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Analytic Model for Concentration Deficit Profile Caused by a Large Vegetated Area (녹지의 대기정화효과 분석을 위한 해석적 대기확산모델의 유도)

  • 김석철
    • Journal of Korean Society for Atmospheric Environment
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    • v.16 no.5
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    • pp.539-544
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    • 2000
  • A simple analytic model is proposed here to analyze the concentration deficit field caused by a large area of vegetated area. With non-dimensional deposition velocity chosen as small parameter, the regular perturbation method is exploited to derive the mass balance equation and the dynamic equations for the concentration deficit field, Analytic solutions to those equations are obtained in a closed form for several cases of interest, assuming that the concentration field is stationary and the plume can be nicely approximated as Gaussian for a point source. The results suggest that quite a negligible fraction (less than 1%) of the gaseous air pollutants emitted into the air is removed by the vegetated area of which width is 4 km in wind-wise direction, the typical dimension of the Restricted Development Zones around the metropolitan regions in South Korea.

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Rotordynamic Analysis for Stepped-Labyrinth Gas Seals Using Moodys Friction-Factor Model

  • Ha, Tae-Woong
    • Journal of Mechanical Science and Technology
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    • v.15 no.9
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    • pp.1217-1225
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    • 2001
  • The governing equations are derived for the analysis of a stepped labyrinth gas seal generally used in high performance compressors, gas turbines, and steam turbines. The bulk-flow is assumed for a single cavity control volume set up in a stepped labyrinth cavity and the flow is assumed to be completely turbulent in the circumferential direction. The Moodys wall-friction-factor model is used for the calculation of wall shear stresses in the single cavity control volume. For the reaction force developed by the stepped labyrinth gas seal, linearized zeroth-order and first-order perturbation equations are developed for small motion about a centered position. Integration of the resultant first-order pressure distribution along and around the seal defines the rotordynamic coefficients of the stepped labyrinth gas seal. The resulting leakage and rotordynamic characteristics of the stepped labyrinth gas seal are presented and compared with Scharrers theoretical analysis using Blasius wall-friction-factor model. The present analysis shows a good qualitative agreement of leakage characteristics with Scharrers analysis, but underpredicts by about 20%. For the rotordynamic coefficients, the present analysis generally yields smaller predictied values compared with Scharrers analysis.

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A CONDITION OF UNIQUENESS AND STABILITY IN A BURSTING MODEL

  • Lee, Eui-Woo
    • The Pure and Applied Mathematics
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    • v.9 no.1
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    • pp.19-30
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    • 2002
  • We consider one class of bursting oscillation models, that is square-wave burster. One of the interesting features of these models is that periodic bursting solution need not to be unique or stable for arbitrarily small values of a singular perturbation parameter $\epsilon$. Recent results show that the bursting solution is uniquely determined and stable for most of the ranges of the small parameter $\epsilon$. In this paper, we present a condition of uniqueness and stability of periodic bursting solutions for all sufficiently small values of $\epsilon$ > 0.

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