• 제목/요약/키워드: Model Order Reduction

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주파수 전달함수 합성법에 의한 모델축소 및 PID 제어기 설계 (A Model Reduction and PID Controller Design Via Frequency Transfer Function Synthesis)

  • 김주식;곽명신;김종근;전병석;정수현
    • 전기학회논문지P
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    • 제54권1호
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    • pp.34-40
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    • 2005
  • This paper presents a frequency transfer function synthesis for simplifying a high-order model with time delay to a low-order model. A model reduction is based on minimizing the error function weighted by the numerator polynomial of reduced systems. The proposed method provides better low frequency fit and a computer aided algorithm. And in this paper, we present a design method of PID controller for achieving the desired specifications via the reduced model. The proposed method identifies the parameter vector of PID controller from a linear system that develops from rearranging the two dimensional input matrices and output vectors obtained from the frequency bounds.

주파수 영역에서 Nyquist 선도를 이용한 모델 축소 (Model Reduction Algorithm Using Nyquist Curve in Frequency Domain)

  • 조준호;김정철;김진권;최정내;황형수
    • 제어로봇시스템학회논문지
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    • 제8권6호
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    • pp.439-444
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    • 2002
  • In this paper, a new model reduction method is proposed to obtain a reduced order model in the frequency domain. The method is developed based on the second-order plus dead time modeling technique. The initial value of the reduced model parameters can be obtained using this method coinciding four point(0, -$\pi$/2, -$\pi$, -3$\pi$/2) on the Nyquist curve. The optimal parameters of the reduced model is obtained through calculation procedure with three steps. It is shown that Nyquist curves and unit step responses of the reduced models of numerical examples closely agree with those of original models.

Zeroth-Order Shear Deformation Micro-Mechanical Model for Periodic Heterogeneous Beam-like Structures

  • Lee, Chang-Yong
    • 동력기계공학회지
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    • 제19권3호
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    • pp.55-62
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    • 2015
  • This paper discusses a new model for investigating the micro-mechanical behavior of beam-like structures composed of various elastic moduli and complex geometries varying through the cross-sectional directions and also periodically-repeated along the axial directions. The original three-dimensional problem is first formulated in an unified and compact intrinsic form using the concept of decomposition of the rotation tensor. Taking advantage of two smallness of the cross-sectional dimension-to-length parameter and the micro-to-macro heterogeneity and performing homogenization along dimensional reduction simultaneously, the variational asymptotic method is used to rigorously construct an effective zeroth-order beam model, which is similar a generalized Timoshenko one (the first-order shear deformation model) capable of capturing the transverse shear deformations, but still carries out the zeroth-order approximation which can maximize simplicity and promote efficiency. Two examples available in literature are used to demonstrate the consistence and efficiency of this new model, especially for the structures, in which the effects of transverse shear deformations are significant.

Kinetics of Cr(VI) Sorption/Reduction from Aqueous Solution on Activated Rice Husk

  • El-Shafey, E.I.;Youssef, A.M.
    • Carbon letters
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    • 제7권3호
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    • pp.171-179
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    • 2006
  • A carbonaceous sorbent was prepared from rice husk via sulphuric acid treatment. After preparation and washing, the wet carbon with moisture content 85% was used in its wet status in this study due to its higher reactivity towards Cr(VI) than the dry carbon. The interaction of Cr(VI) and the carbon was studied and two processes were investigated in terms of kinetics and equilibrium namely Cr(VI) removal and chromium sorption. Cr(VI) removal and chromium sorption were studied at various initial pH (1.6-7), for initial Cr(VI) concentration (100 mg/l). At equilibrium, maximum Cr(VI) removal occurred at low initial pH (1.6-2) where, Cr(III) was the only available chromium species in solution. Cr(VI) removal, at such low pH, was related to the reduction to Cr(III). Maximum chromium sorption (60.5 mg/g) occurred at initial pH 2.8 and a rise in the final pH was recorded for all initial pH studied. For the kinetic experiments, approximate equilibrium was reached in 60-100 hr. Cr(VI) removal data, at initial pH 1.6-2.4, fit well pseudo first order model but did not fit pseudo second order model. At initial pH 2.6-7, Cr(VI) removal data did not fit, anymore, pseudo first order model, but fit well pseudo second order model instead. The change in the order of Cr(VI) removal process takes place in the pH range 2.4-2.6 under the experimental conditions. Other two models were tested for the kinetics of chromium sorption with the data fitting well pseudo second order model in the whole range of pH. An increase in cation exchange capacity, sorbent acidity and base neutralization capacity was recorded for the carbon sorbent after the interaction with acidified Cr(VI) indicating the oxidation processes on the carbon surface accompanying Cr(VI) reduction.

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모델차수축소법을 이용한 프리스트레스 구조물의 효율적인 고유진동해석 (Efficient Modal Analysis of Prestressed Structures via Model Order Reduction)

  • 한정삼
    • 대한기계학회논문집A
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    • 제35권10호
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    • pp.1211-1222
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    • 2011
  • 일반적으로 회전체나 초기 하중 하의 구조물 또는 열변형된 파이프 등의 프리스트레스 구조물은 이러한 프리스트레스 효과로 인하여 고유진동수 및 고유진동모드가 변화되기 때문에 정확한 고유진동해석을 위해서는 프리스트레스 고유진동해석을 수행해야 한다. 시스템에 따라서는 그 복잡성으로 인하여 수십만~수백만의 큰 자유도를 갖는 대형 유한요소모델이 요구되어 이러한 대형 모델의 프리스트레스 영향을 파악하기 위한 프리스트레스 고유진동해석을 주어진 설계시간 내에 반복적으로 수행하기에는 여전히 시간적 어려움이 많은 형편이다. 따라서, 본 논문에서는 크리로프 부공간에 근거한 축소기법으로 시스템의 초기 유한요소모델에 대하여 고유진동 특성을 정확하게 나타내면서도 작은 차수의 축소모델로 표현하여 프리스트레스 고유진동해석에서의 계산시간 문제를 감소하였다. 초기 시스템과 축소 시스템의 모멘트를 일치하는 수치계산에는 아놀디 과정을 이용하였다. 적용예제로 휠과 컴프레서 임펠러를 선택하여 제안한 방법을 통한 회전에 따른 프리스트레스 고유진동해석의 정확성과 효율성을 보였다.

Mixed Model Reduction to Improve Steady-State Behaviour of RLC Circuits

  • Lee, Won-Kyu;Victor Sreeram
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2002년도 ICCAS
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    • pp.75.1-75
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    • 2002
  • Several model order reduction methods for large RLC circuits have been developed in the last few years. Krylop subspace based methods are extremely effective for generating the low order models of large system but there is no optimal theory for the resulting models. Alternatively, methods based truncated balanced realization have an optimality property but are too computationally expensive to use on complicated problems such as large RLC circuits. In this paper, we present a method for improving time domain response of reduced order RLC circuits. The method used here is based on combing Krylop subspace based method and truncated balanced realization method plus residualization. The metho...

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주파수영역에서 시가지연을 갖는 선형시스템의 모델축소 (A Model Reduction of Linear Systems with Time Delay in Frequency Domain)

  • 김주식;김종근;유정웅
    • 조명전기설비학회논문지
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    • 제18권6호
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    • pp.176-182
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    • 2004
  • 본 논문에서는 시간지연을 갖는 고차모델을 저차모델로 간소화하기 위한 주파수 전달함수 합성법을 제안한다. 모델축소는 축소시스템의 분자다항식에 의해 가중된 오차함수를 최소화하는 것에 기반을 두고 있다. 제안된 방법은 보다 우수한 저주파수 적합도를 제공한다. 그리고 네 개의 예제가 제안된 방식의 유용성을 나타내기 위해서 주어진다.

모델 축소법을 이용한 타이어 인터페이싱 개발 (A Development of the Tire Interfacing Using the Reduction Method)

  • 임문수;김영배;조규종;정광용
    • 한국CDE학회논문집
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    • 제8권2호
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    • pp.109-114
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    • 2003
  • In order to develop the reduced tire modal model for analyzing a full tire model, the Craig-Bampton method is utilized in this paper. When the tire contacts the road, the Abaqus solver extracts the condensed stiffness, coupled mass and mode shape matrix about the node, which contacts the road. The Abaqus full tire model is reduced using the substructure method utilizing Craig-Bampton algorithm. Then, the extracted matrices are interfaced with the superelement, which is fed to the Nastran reduction algorithm. Eventually, the reduced tire model is verified from experiment and various reduction parameters (i.e. modal number, reduction point, etc.) are studied for the effectiveness of the proposed paper.

불확실한 비선형 시스템의 균형화된 모델축소 (A Balanced Model Reduction for Uncertain Nonlinear Systems)

  • 류석환;최병재
    • 한국지능시스템학회논문지
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    • 제16권2호
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    • pp.144-149
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    • 2006
  • 이 연구는 T-S 퍼지 접근법을 이용하여 불확실한 비선형 시스템의 균형화된 모델 차수 축소 방법을 제시한다. 일반화된 가제어성, 가관측성 그래미안을 정의하고 이들을 이용하여 균형화된 상태공간 모델을 얻는다. 균형화된 상태공간 모델로부터 상태변수 뿐만 아니라 불확실한 요소를 절삭하여 간략화된 모델을 얻는 기법을 제시하고 모델오차의 상한치를 제시한다. 균형화된 상해공간은 선형행렬 부등식의 해를 구하여 구현할 수 있으며 제시한 방법의 효용성을 보여주기 위하여 수치 예를 보여준다.

Sensor placement driven by a model order reduction (MOR) reasoning

  • Casciati, Fabio;Faravelli, Lucia
    • Smart Structures and Systems
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    • 제13권3호
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    • pp.343-352
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    • 2014
  • Given a body undergoing a stress-strain status as consequence of external excitations, sensors can be deployed on the accessible lateral surface of the body. The sensor readings are regarded as input of a numerical model of reduced order (i.e., the number of sensors is lower than the number of the state variables the full model would require). The goal is to locate the sensors in such a way to minimize the deviations from the response of the true (full) model. One adopts either accelerometers as sensors or devices reading relative displacements. Two applications are studied: a plane frame is first investigated; the focus is eventually on a 3D body.