• Title/Summary/Keyword: equivalent linear system

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A Study on the Vibration Characteristics of Linear Stepping Motor using FEM and ACSL (유한요소법과 ACSL을 이용한 Linear Stepping Motor의 진동특성에 관한 연구)

  • Lee, Sang-Ho;Kim, Jung-Ki;Oh, Hong-Seok
    • Journal of the Korean Society of Industry Convergence
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    • v.6 no.2
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    • pp.141-147
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    • 2003
  • In this paper, the vibration characteristics of a linear stepping motor(LSM) are analyzed using the finite element method(FEM : Flux2D) and ACSL. A magnetic equivalent circuit is based on the structure of the LSM, and then the electric equivalent circuit of the LSM is derived by solving equations for the magnetic equivalent circuit. A normal force is calculated using FEM. And the vibration characteristics of the LSM are simulated by the ACSL with the voltage equations, the thrust equations, the normal force equations and the kinetic equations, and are measured by LASER experimental system.

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A Studyon the Equivalent Model Transformation of the Discrete Linear Systems (이산 선형 시스템의 등가 모델 변환에 관한 연구)

  • 임승우;김정화;정찬수
    • Proceedings of the Korean Institute of Communication Sciences Conference
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    • 1991.10a
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    • pp.215-219
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    • 1991
  • This paper is equivalent model transform which reduces the restriction of digitalization in the discrete linear system. This algorithm is the method that weight is given to contribillity and obserbility gramian, the regular matrix T of coordinate transform is obtained and then the state space coefficents of weighted model can be obtained. This study shows the frequency reponse of low quantization error according to the order of weighting function. The result shows that frequency response of the proposed algorithm is better than that of the balanced realization in the system of smaller bit.

Design and Characteristic Analysis of LSM for High Speed Train System using Magnetic Equivalent Circuit

  • Ham, Sang-Hwan;Cho, Su-Yeon;Kang, Dong-Woo;Lee, Hyung-Woo;Chan, Hong-Soon;Lee, Ju
    • International Journal of Railway
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    • v.3 no.1
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    • pp.14-18
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    • 2010
  • This paper describes design and characteristic analysis of long primary type linear synchronous motor (LSM) for high speed train system. LSM is designed using loading distribution method and magnetic equivalent circuit. For characteristic analysis of LSM, analytical and numerical methods are applied. Analytical method for solving the magnetic field distribution of the analytic model is based on the Maxwell’s equations. Using the characteristic equation and magnetic equivalent circuit, we analyze the effect of variation of parameters, and then we validate the result by comparing with numerical method by finite element method (FEM). We compare the analytical method with numerical method for analyzing the effect by variable parameters. This result will be useful of design and forecast of performance without FEM.

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Nonlinear Optimal Control of an Input-Constrained and Enclosed Thermal Processing System

  • Gwak, Kwan-Woong;Masada, Glenn Y.
    • International Journal of Control, Automation, and Systems
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    • v.6 no.2
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    • pp.160-170
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    • 2008
  • Temperature control of an enclosed thermal system which has many applications including Rapid Thermal Processing (RTP) of semiconductor wafers showed an input-constraint violation for nonlinear controllers due to inherent strong coupling between the elements [1]. In this paper, a constrained nonlinear optimal control design is developed, which accommodates input constraints using the linear algebraic equivalence of the nonlinear controllers, for the temperature control of an enclosed thermal process. First, it will be shown that design of nonlinear controllers is equivalent to solving a set of linear algebraic equations-the linear algebraic equivalence of nonlinear controllers (LAENC). Then an input-constrained nonlinear optimal controller is designed based on that LAENC using the constrained linear least squares method. Through numerical simulations, it is demonstrated that the proposed controller achieves the equivalent performances to the classical nonlinear controllers with less total energy consumption. Moreover, it generates the practical control solution, in other words, control solutions do not violate the input-constraints.

A Study on the Vibration Characteristics of 2-phase Linear Stepping Motor (2相 Linear Stepping Motor의 진동특성에 관한 연구)

  • 오홍석;김동희;이상호;정도영;김춘삼
    • The Transactions of the Korean Institute of Power Electronics
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    • v.4 no.6
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    • pp.554-560
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    • 1999
  • In this paper, a vibration suppression method using an energy stored in winding inductance and an induced v voltage of the Linear Stepping Motor(LSM) is shown, and it is applied to a new one-phase excitation method A And a magnetic equivalent circuit is based on the structure of the LSM, and then the electric equivalent circuit of the LSM is derived by solving equations for the magnetic equivalent circuit. Several dynamic characteristics of the LSM are analyzed by the ACSL with the voltage equations, the force equations and the kinetic equation, a and are measured by experimental system.

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Active vibration isolation of a hydraulic system using the hetero-synaptic neural network (헤테로-시넵틱 신경회로망을 이용한 유압시스템의 진동제어)

  • 정만실;조동우
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.04b
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    • pp.273-277
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    • 1995
  • Many hudraulic components have nonlinearities to some extent. These nonlinearities often cause the time delay, thus degrading the performance of the hydraulic control systems and making it difficult to modelthem. In this paper, a new vibration isolation control algorithm that eliminates the necessity of a sophiscated modeling of hydraulic system was proposed. The algotithm is a hybrid type control shecheme consisting of a linear controller and a hetero-synaptic neural network controller. Using this control scheme, simulations and experiments were performed for 1 DOF(Degree of freedom) and 2 DOF vibration isolation. The hybrid type control algorithm can isolate the base vibration signifcantly rather than linear control algorithm. And from the weights in hetero-synaptic neural network, we can get the 2nd equivalent differentialmodel of the hydraulic control system with on-line control operation. This equivalent model provides us with much information, such as stability and the characteristics of the control system.

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A Study on the Lateral Dynamics of a Train using Equivalent System (등가계를 이용한 열차의 횡방향 거동 연구)

  • 박동일;임진수
    • Proceedings of the KSR Conference
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    • 1998.11a
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    • pp.345-352
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    • 1998
  • The dynamic analysis of a train system has tended to analyze one vehicle or subsystem of that rather than to analyze entire vehicles. But, the speeding and lightening of a train requires more accurate analysis. Thus, the analysis of entire vehicles is required but it spends much time. Therefore, it is needed to find out the new analytic method which is more accurate and efficient. This paper suggests a new method for analyzing a multi-vehicle system more efficiently, using‘mechanical impedance’At first, get the impedance of vehicles which influence the dynamics of the object car, through analyzing the dynamics of a vehicle. ‘Equivalent system’, a simple mechanical system, of which the impedance is similar to that ,is proposed. Then, the equivalent system was applied to a vehicle and it showed that the equivalent system works like a real vehicle system. Finally, we tried non-linear analysis of a vehicle to which the equivalent system is applied.

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Study on the Generalization of the Equivalent Point Method for Thermal Evaluation (Equivalent Point Method의 일반적 이용을 위한 연구)

  • Rhim, Jong-Whan
    • Korean Journal of Food Science and Technology
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    • v.22 no.5
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    • pp.575-581
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    • 1990
  • The existence of the equivalent point for a thermal processing system was demonstrated using arbitrarily chosen ideal direct heating curves. i.e. isothermal heating curves at $120^{\circ}C$ for 10min and at $135^{\circ}C$ for 10sec. Under these conditions, G-values and F-values were calculated at various values of Ea- and z-values by applying the Arrhenius and the Bigelow models respectively. The equivalent time and equivalent temperature were determined by both line intersection and linear regression methods. The equivalent points estimated by both the line intersection and the linear regression methods were consistent and their values were the same as the heating time and temperature of the ideal direct heating curves.

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A Study on the Vibration Characteristics of 2-phase Linear Stepping Motor (2상 Linear Stepping Motor의 진동특성에 관한 연구)

  • 이상호;김동희;정도영;김춘삼;오홍석
    • Proceedings of the KIPE Conference
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    • 1999.07a
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    • pp.159-162
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    • 1999
  • In this paper, a vibration suppression method using an energy stored in winding inductance and an induced voltage of the Linear Stepping Motor(LSM) is shown, and it is applied to a new one-phase excitation method. And a magnetic equivalent circuit is based on the structure of the LSM, and then the electric equivalent circuit of the LSM is derived by solving equations for the magnetic equivalent circuit. Several dynamic characteristics of the LSM are analyzed by the ACSL with the voltage equations, the force equations and the kinetic equation, and are measured by experimental system.

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The Equivalent Value of the Linearized Method for the Ship Motion in Irregular Sea Waves (불규칙(不規則) 해양파(海洋波)에 대(對)한 선체운동(船體運動)의 등가선형화(等價線型化) 방법(方法)에 관(關)하여)

  • Bong-Ku,Woo
    • Bulletin of the Society of Naval Architects of Korea
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    • v.8 no.2
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    • pp.25-34
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    • 1971
  • The characters of linear response of ship among irregular waves were researched. But nonlinear characters of ship motion in irregular waves have not been considered. Then the author showed a method to linearize nonlinearity of damping coefficient of ship by making statistically equivalent linear theory and get equivalent gain K from the condition that the difference of variance between linear response and approximate response is minimum and show that the results of correlogram and spectrum, obtained from this method, for model 700 GT Ferry boat agree with the actual response. The author pays a particular attention not to the nonlinear element but to nonlinear system itself.

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