• Title/Summary/Keyword: Equivalent linear

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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 Stability Analysis and Non-linear Forced Torsional Vibration for the Dngine Shafting System with Viscous Damper (점성댐퍼를 갖는 엔진 축계의 안정성 해석 및 비선형 비틀림강제진동)

  • 박용남;하창우;김의간;전효중
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1996.10a
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    • pp.282-287
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    • 1996
  • The non-linear torsional vibrations of the propulsion shafting system with viscous damper are considered. The motion is modeled by non-linear differential equations of second order. the equivalent system is modeled by two mass softening system with Duffing's oscillator. The steady state response of a equivalent system is analyzed for primary resonance only. Harmonic balance method as a non-linear vibration analysis technique is used. Jump phenomena are explained. The primary unstable region obtained by the Mathieu equation is investigated. Both theoretical and measured results of the propulsion shafting system are compared with and evaluated. As a result of comparisons with both data, it was confirmed that Duffing's oscillator can be used as a analysis method in the modeling of the propulsion shafting system attached viscous damper with non-linear stiffness.

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A Study on the Equivalent Model of an External Electrode Fluorescent Lamp Based on Equivalent Resistance and Capacitance Variation

  • Cho, Kyu-Min;Oh, Won-Sik;Moon, Gun-Woo;Park, Mun-Soo;Lee, Sang-Gil
    • Journal of Power Electronics
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    • v.7 no.1
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    • pp.38-43
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    • 2007
  • An External Electrode Fluorescent Lamp (EEFL) has longer lifespan, higher power efficiency and higher luminance than a Cold Cathode Fluorescent Lamp (CCFL). Moreover, it is easy to drive them in parallel. Therefore, the EEFL is expected to quickly replace the CCFL in LCD backlight systems. However, the EEFL has more complex characteristics than the CCFL with a resistive component, because it has both a resistive component by plasma and a capacitive component by external electrode. In this paper, values of resistance and capacitance are measured at several power levels and at several operating frequencies. They are expressed by a numeral formula based on a linear approximation that represents the equivalent resistance and capacitance as a function of power. Then we made block diagram of the equivalent circuit model using numerical expressions. Simulation waveforms and experimental results are presented to verify the feasibility of the equivalent model.

Development of the Design Algorithm Using the Equivalent Magnetic Circuit Method for Colenoid Type Electromagnetic Linear Actuator (등가자기회로를 활용한 콜레노이드 타입 선형 액츄에이터 설계 알고리즘 개발)

  • Han, Dong-Ki;Chang, Jung-Hwan
    • Journal of the Korean Magnetics Society
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    • v.26 no.2
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    • pp.55-61
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    • 2016
  • This study proposes the design algorithm of an electromagnetic linear actuator with a divided coil excitation system, such as the colenoid (COL) system, using the equivalent magnetic circuit (EMC) method. Nowadays, the clamping device is used to hold workpiece in the electrically driven chucking system and is needed to produce a huge clamping force of 40 kN like hydraulic system. The design algorithm for electromagnetic linear actuator can be obtained using the EMC method. At first, the parameter map is used to decide the slot width ratio in the initial design. Next, to make the magnetic flux density uniform at each pole, the pole width is adjusted by the pole width adjusting algorithm with EMC. When the dimensions of the electromagnetic linear actuator are decided, the clamping force is calculated to check the desired clamping force. The design results show that it can be used to hold a workpiece firmly instead of using a hydraulic cylinder in a chucking system.

The Characteristic Analysis of Vector Control in a Linear Induction Motor Considering Static and Dynamic End Effects (정적 및 동적 단부효과를 고려한 선형 유도 전동기의 벡터제어 특성해석)

  • Kim, Dae-Gyeong;Gwon, Byeong-Il;U, Gyeong-Il
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.51 no.8
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    • pp.413-424
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    • 2002
  • Recently, in the linear motion system, high performances are required In dynamic characteristics. Vector control method is capable of instantaneous thrust control can meet these high performance requirements. Linear induction motor(LIM) have static and dynamic end effects due to its finite core length, so that per-phase impedances are asymmetric and an air gap flux distribution is distorted. These points of the d-q axis equivalent circuit model considering both end effects is more complicated. This paper proposes the d-q axis equivalent circuit and the vector control method considering both static and dynamic end effects of the LIM. As a result, it is shown that the results of the equivalent circuit method(ECM) have a good agreement with those of the finite element method(FEM).

Vibration Analysis on the Ground by 2D FEM (2차원 유한요소법을 이용한 지반의 진동에 대한 동적응답해석)

  • 황성춘;박춘식;정성교
    • Proceedings of the Korean Geotechical Society Conference
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    • 1999.10a
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    • pp.365-370
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    • 1999
  • In this paper, dynamic response analysis on the ground movement applied traffic load by 2D finite element procedure has been studied. In particular, The paper deal with pointing acceleration method that applied AFIMEX Code as like 2D-FLUSH using equivalent linear method. As the result, it is found that dynamic response analysis by pointing acceleration method expressed ground movement by traffic load exactly.

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The Design of Claw Pole Type Linear Motor (클로폴형 리니어 모터의 개발)

  • Lee, Bong-Seob;Kim, Jung-Ki;Kim, Nam-Hun
    • Journal of the Korean Society of Industry Convergence
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    • v.5 no.2
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    • pp.127-132
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    • 2002
  • In this paper, the new claw pole type linear stepping motor(CPLSM) is proposed. And the magnetic equivalent circuit of CPLSM is derived by the structure of the CPLSM. The design parameter and the magnetic flux density of CPLSM are performed with three-dimensional finite element method.

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High concentration ratio approximation of linear effective properties of materials with cubic inclusions

  • Mejak, George
    • Coupled systems mechanics
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    • v.7 no.1
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    • pp.61-77
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    • 2018
  • This paper establish a high concentration ratio approximation of linear elastic properties of materials with periodic microstructure with cubic inclusions. The approximation is derived using first few terms of power series expansion of the solution of the equivalent eigenstrain problem with a homogeneous eigenstrain approximation. Viability of the approximation at high concentration ratios is proved by comparison with a numerical solution of the homogenization problem. To this end some theoretical result of symmetry properties of the homogenization problem are given. Using these results efficient numerical computation on a reduced computational domain is presented.

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.

Implication and Rational Application of Equivalent Load Method in Prestressed

  • Oh, Byung-Hwan;Jeon, Se-Jin
    • Proceedings of the Korea Concrete Institute Conference
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    • 2000.04a
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    • pp.663-667
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    • 2000
  • The equivalent load method has been widely used in the design and analysis of prestressed concrete structures. The purpose of this paper is to explore several important method of obtaining equivalent loads and to clarify the advantages and limitations of each method. The methods devised in this study include the use of curvature of tendon, characteristics of primary moment, self-equilibrium conditions, and linear segments approximation of tendon. It is shown that equivalent lading system is not uniquely determined in some cases and careful engineering judgement is required from the view point of accuracy and practical convenience.

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