• Title/Summary/Keyword: Characteristic ratio assignment (CRA)

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A Study of Control Algorithm for Propulsion System (열차 추진제어장치의 알고리즘에 관한 연구)

  • Choi, Jae-Ho;Kim, Hyung-Chul
    • Journal of the Korean Society for Railway
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    • v.10 no.1 s.38
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    • pp.51-56
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    • 2007
  • In this paper, control schemes are developed for a propulsion system(Converter/Inverter) in electrical train. A robust controller for PWM converter is proposed. The converter controller consists of a PI controller for DC output voltage and a current controller using error-space approach for maintaining the sinusoidal current waveform and unity power factor. This proposed method is based on characteristic ratio assignment(CRA) method which has the advantage to design the optimal gain to meet the referenced response and overshoot within the limit range. Inverter system is controlled by vector control and slip frequency control. At low speed region, vector control scheme is applied to control instantaneous torque and slip frequency control is performed under overmodulation region and one pulse mode. Because output voltage of converter contains harmonics ripple at twice input ac line frequency, control scheme is developed to reduce the pulsating torque current. The performance of propulsion system will be verified by simulation and prototype experimental results.

A Note on Bode Plot Asymptotes based on Transfer Function Coefficients

  • Kim, Young-Chol;Lee, Kwan-Ho;Woo, Young-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.664-669
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    • 2005
  • In this note, we present a different asymptotes from the standard approximate lines of the Bode magnitude plot. Wherein the pseudo break frequency is defined in terms of coefficients of denominator and numerator polynomials of the transfer function instead of its poles and zeros. Several comparative examples are given. This result can be used for the characteristic ratio assignment(CRA) [1], [2] with frequency response requirements, which is a method of designing linear controller in parameter space.

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Parametric Sensitivity Analyses of Linear System relative to the Characteristic Ratios of Coefficient (I) : A General Case (계수의 특성비에 대한 선형계의 파라미터적 감도해석(I): 일반적인 경우)

  • 김영철;김근식
    • Journal of Institute of Control, Robotics and Systems
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    • v.10 no.3
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    • pp.205-215
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    • 2004
  • The characteristic ratio assignment (CRA) method〔1〕 is new polynomial approach which allows to directly address the transient responses such as overshoot and speed of response time in time domain specifications. The method is based on the relationships between time response and characteristic ratios($\alpha_i$ ) and generalized time constant (T), which are defined in terms of coefficients of characteristic polynomial. However, even though the CRA can apply to developing a linear controller that meets good transient responses, there are still some fundamental questions to be explored. For the purpose of this, we have analyzed several sensitivities of a linear system with respect to the changes of coefficients itself and $\alpha_i$ of denominator polynomial. They are (i) the unnormalized root sensitivity : to determine how the poles change as $\alpha_i$ changes, and (ii) the function sensitivity to determine the sensitivity of step response to the change of o, and to analyze the sensitivity of frequency response as o, changes. As an other important result, it is shown that, under any fixed T and coefficient of the lowest order of s in denominator, the step response is dominantly affected merely by $\alpha_1, alpha_2 and alpha_3$ regardless of the order of denominator higher than 4. This means that the rest of the$\alpha_i$ s have little effect on the step response. These results provide some useful insight and background theory when we select $\alpha_i$ and T to compose a reference model, and in particular when we design a low order controllers such as PID controller.

A Low-Order Controller Design of Active Pantograph System (능동판토그래프의 저차제어기 설계)

  • Baek, Seung-Koo;Chang, Seok-Gahk;Kwon, Sung-Tae;Kim, Jin-Hwan
    • Proceedings of the KSR Conference
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    • 2009.05a
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    • pp.940-945
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    • 2009
  • This paper presents the design method of low order controller for the active pantograph of electric train system. The pantograph is the most playa role to supply constant current to the train. The design objectives are to have good tracking performance about reference contact force despite the stiffness variation that is like sinusoidal function concerned in train speed or span length of contact wire. In this paper, we consider stiffness variation from external disturbance of active pantograph to simplify model equation, and propose simple second-order controller which is designed by Characteristic ratio assignment(CRA) control method. Finally, we verify time response appling to model equation of real system and frequency response about parameter uncertainty like stiffness variation. it is performed by Matlab version 6.5 and Matlab simulink simulation.

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Model Following Control of Linear Time-Invariant System with Uncertain Time Delay (불확실성 지연시간 시스템의 모델추종제어)

  • Kim, Hye-Kyung;Kim, Young Chol
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.63 no.6
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    • pp.786-796
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    • 2014
  • This paper presents a new approach to design a robust tracking controller for linear time-invariant systems with uncertain time-delay. By introducing the model following control (MFC) structure which consists of two loops in nature, we show that the controller is capable of having a predictive control action and effectively tracking the reference output with a desired transient response as well. Three design techniques to achieve good tracking performance are suggested. It is also analytically shown that the tracking performance of the proposed scheme is more robust than that of typical single-loop feedback structure. An illustrative example is given to compare the tracking performances of the proposed methods with a single loop method.

A Study for Controller Design Using 2-Degree of Freedom(DOF) Structure In A Magnetically Suspended System (자기부상시스템의 2-DOF 구조를 이용한 제어기 설계에 관한 연구)

  • Baek, Seung-Koo;Lee, Chang-Young;Chang, Seok-Gahk;Kwon, Sung-Tae
    • Proceedings of the KSR Conference
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    • 2006.11b
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    • pp.1430-1435
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    • 2006
  • This study deals with the problem of balance beam system to stabilize about static and sinusoidal disturbance. wherein the design objectives are to keep the gap deviation from static and sinusoidal disturbance. In this paper propose the 2-Degree of Freedom(DOF) structure and a simple first-order controller which is designed by Characteristic ratio assignment (CRA) method. Matlab simulation result verify stabilization of balance beam system despite of disturbance. Hybrid simulation between digital controller and analog plant is presented by Matlab Simulink.

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Direct Digital Control of Single-Phase AC/DC PWM Converter System

  • Kim, Young-Chol;Jin, Lihua;Lee, Jin-Mok;Choi, Jae-Ho
    • Journal of Power Electronics
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    • v.10 no.5
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    • pp.518-527
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    • 2010
  • This paper presents a new technique for directly designing a linear digital controller for a single-phase pulse width modulation (PWM) converter systems, based on closed-loop identification. The design procedure consists of three steps. First, obtain a digital current controller for the inner loop system by using the error space approach, so that the power factor of the supply is close to one. The outer loop is composed of a voltage controller, a current control loop including a current controller, a PWM converter, and a capacitor. Then, all the components, except the voltage controller, are identified by a discrete-time equivalent linear model, using the closed-loop output error (CLOE) method. Based on this equivalent model, a proper digital voltage controller is then directly designed. It is shown through PSim simulations and experimental results that the proposed method is useful for the practical design of PWM converter controllers.