• 제목/요약/키워드: Linearized Theory

검색결과 150건 처리시간 0.028초

Scaling Factor Design Based Variable Step Size Incremental Resistance Maximum Power Point Tracking for PV Systems

  • Ahmed, Emad M.;Shoyama, Masahito
    • Journal of Power Electronics
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    • 제12권1호
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    • pp.164-171
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    • 2012
  • Variable step size maximum power point trackers (MPPTs) are widely used in photovoltaic (PV) systems to extract the peak array power which depends on solar irradiation and array temperature. One essential factor which judges system dynamics and steady state performances is the scaling factor (N), which is used to update the controlling equation in the tracking algorithm to determine a new duty cycle. This paper proposes a novel stability study of variable step size incremental resistance maximum power point tracking (INR MPPT). The main contribution of this analysis appears when developing the overall small signal model of the PV system. Therefore, by using linear control theory, the boundary value of the scaling factor can be determined. The theoretical analysis and the design principle of the proposed stability analysis have been validated using MATLAB simulations, and experimentally using a fixed point digital signal processor (TMS320F2808).

적응제어와 슬라이딩제어를 이용한 영구자석 동기전동기의 비선형 강인제어 (Robust Nonlinear Speed Control of PM Synchronous Motor using Adaptive and Sliding Mode Control Techniques)

  • 백인철;김경화;윤명중
    • 전력전자학회:학술대회논문집
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    • 전력전자학회 1997년도 전력전자학술대회 논문집
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    • pp.70-78
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    • 1997
  • A DSP-based nonlinear speed control of a permanent magnet synchronous motor(PMSM) which is robust to unknown parameter variations and speed measurement error is presented. The model reference adaptive system(MRAS) based adaptation mechanisms for the estimation of slowly varying parameters are derived using the Lyapunov stability theory. For the disturbances or quickly varying parameters, a quasi-linearized and decoupled model including the influence of parameter variations and speed measurement error on the nonlinear speed control of the PMSM is derived. Based on this model, a boundary layer integral sliding mode controller to improve the robustness and performance of a PMSM drive is designed and compared with the conventional controller. To show the validity of the proposed control scheme, simulations and experimental works are carried out and compared with the conventional control scheme.

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A Nonlinear Speed Control for a PM Synchronous Motor Using a Simple Disturbance Estimation Technique

  • Lee Na-Young;Kim Kyeong-Hwa;Youn Myung-Joong
    • 전력전자학회:학술대회논문집
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    • 전력전자학회 2001년도 Proceedings ICPE 01 2001 International Conference on Power Electronics
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    • pp.326-330
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    • 2001
  • A nonlinear speed control for a permanent magnet (PM) synchronous motor using a simple disturbance estimation technique is presented. By using a feedback linearization, scheme, the nonlinear motor model can be linearized. To compensate an undesirable output performance under the mismatch of the system parameters and load conditions the controller parameters will be estimated by using a disturbance observer theory. Since only the two reduced-order observers are used for the parameter estimation, the observer designs are considerably simple and the computational load of the controller for parameter estimation is negligibly small. The proposed control scheme is implemented on a PM synchronous motor using DSP TMS320C31 and the effectiveness is verified through the comparative experiments.

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Moody 마찰계수식을 사용한 래버린스 실의 회전체 동역학적 해석 (Rotordynamic Analysis of a Labyrinth Seal Using the Moody's Friction-Factor Model)

  • 하태웅
    • 한국유체기계학회 논문집
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    • 제2권3호
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    • pp.52-58
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    • 1999
  • The leakage and rotordynamic coefficients of see-through type gas labyrinth seals are determined using a two-control-volume-model analysis with Moody's wall-friction-factor formula which is defined with a large range of Reynolds number and relative roughness. Jet flow theory are used for the calculation of the recirculation velocity in the cavity. For the reaction force from the labyrinth seal, linearized zeroth-order and the first-order perturbation equations are developed for small motion about a centered position. The leakage and rotordynamic coefficient results of the present analysis are compared with Scharrer's theoretical analysis using Blasius' wall-friction-factor formula and Pelletti's experimental results. The comparison shows that the present analysis using Moody's wall-friction-factor formula and Scharrer's theoretical analysis using Blasius' wall-friction-factor formula give the same results for a smooth seal surface and the range of Reynolds number less than $10^5$.

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회전기계의 진동저감을 위한 자동볼평형장치 (Automatic Ball Balancer for Vibration Reduction of Rotating Machines)

  • 정진태
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 춘계학술대회논문집
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    • pp.59-68
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    • 2005
  • In this study, we establish a theory for dynamic behaviors of an automatic ball balancer, analyze its dynamic characteristics, and provide its design guide line. Equations of motion are derived by using the polar coordinate system instead of the rectangular coordinate system which was previously used in other researches. After non-dimensionalization of the equations, the perturbation method is applied to locate the equilibrium positions and to obtain the linearized equations of motion around the equilibrium positions. The Eigenvalue problem is used to verify the dynamic stability around the equilibrium positions. On the other hand, the time responses are computed from the nonlinear equations of motion by using a time integration method.

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부하압력 피이드백을 이용한 전기-유압 서어보계의 부하변동 보상에 관한 연구 (A Study on Compensation Method for Variable Loads in Electro-Hydraulic Servomechanism Using Load Pressure feedback)

  • 김종겸;이진걸
    • 한국정밀공학회지
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    • 제7권3호
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    • pp.83-93
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    • 1990
  • The characteristics of servo systems are desired to be independent for any unpredicted operational condition. The relation between input current and output flowrate of the servovalve is dependent on the load pressure and the idea of compensation using the load pressure feedback is fundamental theory in this paper. With this idea, this paper researches the performance improvement of hydraulic position control system. Static characteristics of compensated system is analyzed by means of analog computer simulation, digital computer simulation and experiment for nonlinear model and linearized model, respectively.

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궤환선형화된 STT 미사일의 불확실성 보상을 위한 적응 슬라이딩 모드 제어 (Adaptive Sliding Mode Control for Compensation of Uncertainty in Feedback Linearized Skid-to-Turn (STT) Missiles)

  • 김민수;좌동경;최진영
    • 제어로봇시스템학회논문지
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    • 제5권3호
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    • pp.267-274
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    • 1999
  • This paper proposes an adaptive sliding mode control scheme for an autopilot design of Skid-to-Turn (STT) missiles. The feedback linearization controller eliminates nonlinear terms in STT dynamics and makes the entire system linear. But the modeling errors in dynamics and the external disturbances exert bad influence on the performance of the feedback linearization controller. To handle these uncertainties, an adaptive control scheme is developed, where a bound of the uncertainties is estimated by an adaptive law based on a sliding surface. The asymptotic output tracking is proved by using the Lyapunov stability theory. Simulations for STT missiles illustrate the validity of the proposed scheme.

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Formulating Analytical Solution of Network ODE Systems Based on Input Excitations

  • Bagchi, Susmit
    • Journal of Information Processing Systems
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    • 제14권2호
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    • pp.455-468
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    • 2018
  • The concepts of graph theory are applied to model and analyze dynamics of computer networks, biochemical networks and, semantics of social networks. The analysis of dynamics of complex networks is important in order to determine the stability and performance of networked systems. The analysis of non-stationary and nonlinear complex networks requires the applications of ordinary differential equations (ODE). However, the process of resolving input excitation to the dynamic non-stationary networks is difficult without involving external functions. This paper proposes an analytical formulation for generating solutions of nonlinear network ODE systems with functional decomposition. Furthermore, the input excitations are analytically resolved in linearized dynamic networks. The stability condition of dynamic networks is determined. The proposed analytical framework is generalized in nature and does not require any domain or range constraints.

Integrated Generation and Transmission Expansion Planning Using Generalized Bender’s Decomposition Method

  • Kim, Hyoungtae;Lee, Sungwoo;Kim, Wook
    • Journal of Electrical Engineering and Technology
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    • 제10권6호
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    • pp.2228-2239
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    • 2015
  • A novel integrated optimization method based on the Generalized Bender’s Decomposition (GBD) is proposed to combine both generation and transmission expansion problems. Most of existing researches on the integrated expansion planning based on the GBD theory incorporate DC power flow model to guarantee the convergence and improve the computation time. Inherently the GBD algorithm based on DC power flow model cannot consider variables and constraints related bus voltages and reactive power. In this paper, an integrated optimization method using the GBD algorithm based on a linearized AC power flow model is proposed to resolve aforementioned drawback. The proposed method has been successfully applied to Garver’s six-bus system and the IEEE 30-bus system which are frequently used power systems for transmission expansion planning studies.

비연성된 지배방정식을 이용한 각가속도를 갖는 회전원판의 동적 안정성 해석 (Dynamic Stability Analysis of a Spinning Disk with Angular Acceleration by Using the Uncoupled Governing Equations)

  • 최태영;정진태
    • 대한기계학회논문집A
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    • 제24권6호
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    • pp.1363-1370
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    • 2000
  • Dynamic stability of a flexible spinning disk with angular acceleration is considered. To avoid the coupling between the in-plane and out-of-plane displacements, the linearized strain-displacement relations are used in the Kirchhoff plate theory. The uncoupled governing equations are derived by using Hamilton's principle with considering the angular acceleration. Numerical tests show that existence of the angular acceleration makes a spinning disk dynamically unstable.