• Title/Summary/Keyword: Linearized model

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An Experimental Study upon Modeling and Control of Coupled Engine and Generator System (엔진-발전기 시스템 모델링 및 제어특성에 관한 실험적 연구)

  • 송승호;정세종;오정훈;함윤영;최용각;이광희
    • Transactions of the Korean Society of Automotive Engineers
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    • v.11 no.5
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    • pp.163-169
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    • 2003
  • Modeling of engine-generator system and its control responses are investigated using high performance generator controller. The nonlinear engine is modeled using mean torque production model based on experimental engine map. In case of diesel engine. the amount of injected fief is decided by engine controller depending on the APS(Acceleration Position Sensor) value. An electromechanical generator model contains electrical circuits and moment of inertia. The generator controller maximizes the performance of generator using decoupling and linearized current feedback control. The generator control system consists of 3-phase IGBT inverter and controller board based on 32 bit floating point DSP. Field oriented control algorithm with digital current feedback control at 10kHz sampling enabled high performance torque and speed control of induction machine. Not only the steady state but also the transient state responses can be evaluated through a batch test of the engine generator system. Developed engine and generator modeling and control can be utilized in various applications such as Series Hybrid Electric Vehicle(SHEV), engine-generator for emergency, and other hybrid generation systems.

Numerical Simulation of Towing Stability of Barges in Calm Water (정수 중 바지선의 예인안정성에 관한 수치 시뮬레이션)

  • Nam, Bo Woo;Park, Ji Young;Hong, Sa Young;Sung, Hong Gun;Kim, Jong-Wook
    • Journal of Ocean Engineering and Technology
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    • v.27 no.1
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    • pp.67-73
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    • 2013
  • This paper presents the results of a numerical study on the towing stability of barges. Towing simulations were carried out by using two different numerical models (MMG model and cross-flow model). Stability criteria are also suggested based on the analysis of the linearized governing equations for towed vessel motion. In order to validate the present numerical models, the experimental data of Yasukawa et al. (2006) were used. Simulations were conducted for single and double barges under constant towing speed and direction conditions. The time histories of the heading angle, yaw rate, and towline tension were compared between the numerical results and experiments. The effects of the towline length on the slewing frequency and maximum heading angle were also observed. In addition, a series of numerical simulations using variable hydrodynamic coefficients were performed to investigate the effects of the hydrodynamic forces on the towing stability.

Dynamic Analysis of a Rotating System Due to the Effect of Ball Bearing Waviness (I) -Vibration Analysis- (Waviness가 있는 볼베어링으로 지지된 회전계의 동특성 해석 (II)-안정성 해석 -)

  • Jeong, Seong-Weon;Jang, Gun-Hee
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.12
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    • pp.2647-2655
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    • 2002
  • This research presents an analytical model to investigate the stability due to the ball bearing waviness i n a rotating system supported by two ball bearings. The stiffness of a ball bearing changes periodically due to the waviness in the rolling elements as the rotor rotates, and it can be calculated by differentiating the nonlinear contact forces. The linearized equations of motion can be represented as a parametrically excited system in the form of Mathieu's equation, because the stiffness coefficients have time -varying components due to the waviness. Their solution can be assumed as a Fourier series expansion so that the equations of motion can be rewritten as the simultaneous algebraic equations with respect to the Fourier coefficients. Then, stability can be determined by solving the Hill's infinite determinant of these algebraic equations. The validity of this research is proved by comparing the stability chart with the time responses of the vibration model suggested by prior researches. This research shows that the waviness in the rolling elements of a ball bearing generates the time-varying component of the stiffness coefficient, whose frequency is called the frequency of the parametric excitation. It also shows that the instability takes place from the positions in which the ratio of the natural frequency to the frequency of the parametric excitation corresponds to i/2 (i=1,2,3..).

Optimal Output Tracking Control Simulation for Thrust Control of an Open-cycle Liquid Propellant Rocket Engine (개방형 액체로켓엔진의 추력제어를 위한 최적출력 추종제어 시뮬레이션)

  • Cha, Jihyoung;Cho, Woosung;Ko, Sangho
    • Journal of the Korean Society of Propulsion Engineers
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    • v.24 no.2
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    • pp.52-60
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    • 2020
  • This paper deals with an optimal output tracking control for open-cycle liquid propellant rocket engine. For this purpose, we modeled simplified mathematical model of open-cycle liquid propellant rocket engine and designed optimal output feedback control system using combustion chamber pressure. For design the closed-loop system of open-cycle liquid propellant rocket engine, we designed optimal output feedback linear quadratic tracking control system using the linearized model and demonstrated the performance of the controller through numerical simulation.

Monitoring Ion Energy Distribution in Capacitively Coupled Plasmas Using Non-invasive Radio-Frequency Voltage Measurements

  • Choi, Myung-Sun;Lee, Seok-Hwan;Jang, Yunchang;Ryu, Sangwon;Kim, Gon-Ho
    • Applied Science and Convergence Technology
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    • v.23 no.6
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    • pp.357-365
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    • 2014
  • A non-invasive method for ion energy distribution measurement at a RF biased surface is proposed for monitoring the property of ion bombardments in capacitively coupled plasma sources. To obtain the ion energy distribution, the measured electrode voltage is analyzed based on the circuit model which is developed with the linearized sheath capacitance on the assumption that the RF driven sheath behaves like a simple diode for a bias power whose frequency is much lower than the ion plasma frequency. The method is verified by comparing the ion energy distribution function obtained from the proposed model with the experimental result taken from the ion energy analyzer in a dual cathode capacitively coupled plasma source driven by a 100 MHz source power and a 400 kHz bias power.

Design of an OPtimal Controller for the Nonlinear Robot Manipulators with the Actuator Dynamics (조작기의 동특성을 고려한 비선형 로봇 매니퓰레이터의 최적 제어기 설계)

  • 김학범;이양범
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.9
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    • pp.1376-1385
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    • 1993
  • This paper presents a new dynamic model which is represented by the second order differenatial equation and itcludes the robot arm dynamics as well as the actuator dynamics. The model exhibits excellent performance in the steady state and transient response. In addition the time varing nonlinear and coupled dynamic system has been linearized and decoupled by using nonlinear feedback and linearization method. In this case a pole assignment law is used to improve stability, and the optimal control altorithm is applied to the error equation to minimize the path error. In applying the proposed algorithm to the three joint manipulator with actuators, we obtained very encouraging results.

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Stability Analysis of a Rotating System Due to the Effect of Ball Bearing Waviness (Waviness가 있는 볼베어링으로 지지된 회전계의 안정성 해석)

  • 정성원;장건희
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.181-189
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    • 2002
  • This research presents an analytical model to investigate the stability due to the ball bearing waviness in a rotating system supported by two ball bearings. The stiffness of a ball bearing changes periodically due to the waviness in the rolling elements as the rotor rotates, and it can be calculated by differentiating the nonlinear contact forces. The linearized equations of motion can be represented as a parametrically excited system in the form of Mathieu's equation, because the stiffness coefficients have time-varying components due to the waviness. Their solution can be assumed as a Fourier series expansion so that the equations of motion can be rewritten as the simultaneous algebraic equations with respect to the Fourier coefficients. Then, stability can be determined by solving the Hill's infinite determinant of these algebraic equations. The validity of this research is proved by comparing the stability chart with the time responses of the vibration model suggested by prior researches. This research shows that the waviness in the rolling elements of a ball bearing generates the time-varying component of the stiffness coefficient, whose frequency is called the frequency of the parametric excitation. It also shows that the instability takes place from the positions in which the ratio of the natural frequency to the frequency of the parametric excitation corresponds to i/2 (i= 1,2,3..).

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An Efficient Attitude Reference System Design Using Velocity Differential Vectors under Weak Acceleration Dynamics

  • Lee, Byungjin;Yun, Sukchang;Lee, Hyung-Keun;Lee, Young Jae;Sung, Sangkyung
    • International Journal of Aeronautical and Space Sciences
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    • v.17 no.2
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    • pp.222-231
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    • 2016
  • This paper proposes a new method achieving computationally efficient attitude reference system for low cost strapdown sensors and microprocessor platform. The main idea in this method is to define and compare velocity differential vectors, geometrically computed from INS and GPS data with different update rate, for generating attitude error measurements which is further used for filter construction. A quaternion based Kalman filter configuration is applied for the attitude estimation with the adapted measurement model of differential vector comparison. Linearized model for Extended Kalman Filter and low pass filtered characteristics of measurement greatly extend the affordability of the proposed algorithm to the field of simple low cost embedded systems. For performance verification, experiment are done employing a practical low cost MEMS IMU and GPS receiver specification. Performance comparison with a high grade navigation system demonstrated good estimation result.

Nonlinear Analysis of Reinfored Concrete Beams by Displacement Control Method (변위제어법에 의한 철근콘크리트 보의 비선형해석법)

  • 김진근;이을범;이태규
    • Computational Structural Engineering
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    • v.2 no.1
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    • pp.71-78
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    • 1989
  • In this paper a computer program for displacement control method was developed, in which a certain displacement of the structure is increased and the applied loads and another displacements are obtained. To simplify the nonlinear structural analysis, the relationships of moment-curvature were linearized as elasto-softening model for over-reinforced concrete beam and as elasto-plastic-softening model for under-reinforced concrete beam. Since the result of the analysis of reinforced concrete beam depended on the element size beyond elastic zone, the relationship of moment-curvature was modified for each element by using the concept of fracture energy approach. Overall, analytical results accurately predicted the load-displacement behavior of reinforced concrete beams.

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Experimental Study on Control of Autopilot System(I) (자동운항시스템의 제어에 관한 실험적 연구)

  • Han, Bong-Ju;Bae, Gyeong-Su;Kim, Hwan-Seong;Kim, Sang-Bong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.8
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    • pp.2449-2457
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    • 1996
  • This paper presents a design method for autopilot control system in course change to the specified direction based on a robust digital servo controlmelthod incorporating the concept of the annihilator polynormial. The mathematicalmodel of ship turning motion is very complex in the view of practical control because it has time varying parameters, nonlinear and dead time terms. To apply the digital servo control method based on computer control, the model is linearized at an equilibrium point and discretized with appropriate sampling time. The control algorithm was evaluated on the basis of computer simulation for a model ship and the practical experiment was carried out with an image processing method for measurement of ship position in a water tank. The results of overall experiments show that the proposed control method will be one of good way to keep a track plotted in the map.