• 제목/요약/키워드: Discrete-time low-order models

검색결과 7건 처리시간 0.027초

펄스응답에 의한 저차 이산시간 모델의 식별 (Identification of Discrete-Time Low-Order Model from Pulse Response)

  • 황지호;차승표;김영철
    • 전기학회논문지
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    • 제67권8호
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    • pp.1062-1070
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    • 2018
  • This paper presents a simple identification method for discrete-time low-order model of unknown delay process from pulse response. The key idea is to find the parameters of the model such that the first N moments of the unknown process and the model are equal. We first show that the k-th moment of a process can be determined by the moments of the input and output. The parameters and delay are estimated separately. It is shown that for a given delay, the parameters of the low-order model can be determined by solving linear equations in a matrix form. Delay of the model is estimated such that the integral of the absolute errors (IAE) of the candidate models with possible delays minimizes. The illustrative example shows that the proposed method can directly identify low-order models without order reduction process from a single pulse response.

Centroidal Voronoi Tessellation-Based Reduced-Order Modeling of Navier-Stokes Equations

  • 이형천
    • 한국전산응용수학회:학술대회논문집
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    • 한국전산응용수학회 2003년도 KSCAM 학술발표회 프로그램 및 초록집
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    • pp.1-1
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    • 2003
  • In this talk, a reduced-order modeling methodology based on centroidal Voronoi tessellations (CVT's)is introduced. CVT's are special Voronoi tessellations for which the generators of the Voronoi diagram are also the centers of mass (means) of the corresponding Voronoi cells. The discrete data sets, CVT's are closely related to the h-means clustering techniques. Even with the use of good mesh generators, discretization schemes, and solution algorithms, the computational simulation of complex, turbulent, or chaotic systems still remains a formidable endeavor. For example, typical finite element codes may require many thousands of degrees of freedom for the accurate simulation of fluid flows. The situation is even worse for optimization problems for which multiple solutions of the complex state system are usually required or in feedback control problems for which real-time solutions of the complex state system are needed. There hava been many studies devoted to the development, testing, and use of reduced-order models for complex systems such as unsteady fluid flows. The types of reduced-ordered models that we study are those attempt to determine accurate approximate solutions of a complex system using very few degrees of freedom. To do so, such models have to use basis functions that are in some way intimately connected to the problem being approximated. Once a very low-dimensional reduced basis has been determined, one can employ it to solve the complex system by applying, e.g., a Galerkin method. In general, reduced bases are globally supported so that the discrete systems are dense; however, if the reduced basis is of very low dimension, one does not care about the lack of sparsity in the discrete system. A discussion of reduced-ordering modeling for complex systems such as fluid flows is given to provide a context for the application of reduced-order bases. Then, detailed descriptions of CVT-based reduced-order bases and how they can be constructed of complex systems are given. Subsequently, some concrete incompressible flow examples are used to illustrate the construction and use of CVT-based reduced-order bases. The CVT-based reduced-order modeling methodology is shown to be effective for these examples and is also shown to be inexpensive to apply compared to other reduced-order methods.

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An adaptive delay compensation method based on a discrete system model for real-time hybrid simulation

  • Wang, Zhen;Xu, Guoshan;Li, Qiang;Wu, Bin
    • Smart Structures and Systems
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    • 제25권5호
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    • pp.569-580
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    • 2020
  • The identification of delays and delay compensation are critical problems in real-time hybrid simulations (RTHS). Conventional delay compensation methods are mostly based on the assumption of a constant delay. However, the system delay may vary during tests owing to the nonlinearity of the loading system and/or the behavioral variations of the specimen. To address this issue, this study presents an adaptive delay compensation method based on a discrete model of the loading system. In particular, the parameters of this discrete model are identified and updated online with the least-squares method to represent a servo hydraulic loading system. Furthermore, based on this model, the system delays are compensated for by generating system commands using the desired displacements, achieved displacements, and previous displacement commands. This method is more general than the existing compensation methods because it can predict commands based on multiple displacement categories. Moreover, this method is straightforward and suitable for implementation on digital signal processing boards because it relies solely on the displacements rather than on velocity and/or acceleration data. The virtual and real RTHS results show that the studied method exhibits satisfactory estimation smoothness and compensation accuracy. Furthermore, considering the measurement noise, the low-order parameter models of this method are more favorable than that the high-order parameter models.

다목적 저수지 유입량의 예측모형 (A Development of Inflow Forecasting Models for Multi-Purpose Reservior)

  • 심순보;김만식;한재석
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 1992년도 수공학연구발표회논문집
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    • pp.411-418
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    • 1992
  • The purpose of this study is to develop dynamic-stochastic models that can forecast the inflow into reservoir during low/drought periods and flood periods. For the formulation of the models, the discrete transfer function is utilized to construct the deterministic characteristics, and the ARIMA model is utilized to construct the stochastic characteristics of residuals. The stochastic variations and structures of time series on hydrological data are examined by employing the auto/cross covariance function and auto/cross correlation function. Also, general modeling processes and forecasting method are used the model building methods of Box and Jenkins. For the verifications and applications of the developed models, the Chungju multi-purpose reservoir which is located in the South Han river systems is selected. Input data required are the current and past reservoir inflow and Yungchun water levels. In order to transform the water level at Yungchon into streamflows, the water level-streamflows rating curves at low/drought periods and flood periods are estimated. The models are calibrated with the flood periods of 1988 and 1989 and hourly data for 1990 flood are analyzed. Also, for the low/drought periods, daily data of 1988 and 1989 are calibrated, and daily data for 1989 are analyzed.

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Real-Time HIL Simulation of the Discontinuous Conduction Mode in Voltage Source PWM Power Converters

  • Futo, Andras;Kokenyesi, Tamas;Varjasi, Istvan;Suto, Zoltan;Vajk, Istvan;Balogh, Attila;Balazs, Gergely Gyorgy
    • Journal of Power Electronics
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    • 제17권6호
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    • pp.1535-1544
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    • 2017
  • Advances in FPGA technology have enabled fast real-time simulation of power converters, filters and loads. FPGA based HIL (Hardware-In-the-Loop) simulators have revolutionized control hardware and software development for power electronics. Common time step sizes in the order of 100ns are sufficient for simulating switching frequency current and voltage ripples. In order to keep the time step as small as possible, ideal switching function models are often used to simulate the phase legs. This often produces inferior results when simulating the discontinuous conduction mode (DCM) and disabled operational states. Therefore, the corresponding measurement and protection units cannot be tested properly. This paper describes a new solution for this problem utilizing a discrete-time PI controller. The PI controller simulates the proper DC and low frequency AC components of the phase leg voltage during disabled operation. It also retains the advantage of fast real-time execution of switch-based models when an accurate simulation of high frequency junction capacitor oscillations is not necessary.

제트 확산화염의 연소특성과 매연생성에 관한 연구 (Combustion Characteristics and Soot Formation in a Jet Diffusion Flame)

  • 이교우;백승욱
    • 대한기계학회논문집
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    • 제18권10호
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    • pp.2712-2723
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    • 1994
  • Numerical simulation of an axisymmetric ethylene-air jet diffusion flame has been carried out in order to investigate flame dynamics and soot formation. The model solves the time-dependent Navier-Stokes equations and includes models for soot formation, chemical reaction, molecular diffusion, thermal conduction, and radiation. Numerically FCT(Flux Corrected Transport) and DOM(Discrete Ordinate Method) methos are used for convection and radiation trasport respectively. Simulation was conducted for a 5 cm/sec fuel jet flowing into a coflowing air stream. The maximum flame temperature was found to be approximately 2100 K, and was located at an axial position of approximately 5 cm from the base of the flame. The maximum soot volume fraction was about $7{\times}10^{-7}$, and was located within the high temperature region where the fuel mole fraction ranges from 0.01 to 0.1. The buoyancy-driven low-frequency(12~13 Hz) structures convected along the outer region of the flame were captured. In case without radiation trasport, the maximum temperature was higher by 150 K than in case with radiation. Also the maximum soot volume fraction reached about $8{\times}10^{-6}$. As the the hydrocarbon fuel forms many soot particles, the radiation transport becomes to play a more important role.

이산적 시공간 기반 2차로 도로 차량모형 개발 (Development of Two-lane Highway Vehicle Model Based on Discrete Time and Space)

  • 윤병조
    • 대한토목학회논문집
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    • 제31권6D호
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    • pp.785-791
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    • 2011
  • 2차로 양방향 도로의 교통류는 저속차량과 추월 행태에 따라 다양한 동적 관계를 보인다. 따라서 교통류 모의실험을 이용하여 2차로 도로의 다양한 교통류를 미시적으로 분석하기 위해서는 저속차량의 행태와 더불어 대향차로를 이용한 추월 행태를 동시에 구현하는 차량모형의 개발이 필수적이다. 국내의 경우, 고속도로와 신호교차로를 설명하기 위한 차량추종모형과 차로변경모형에 대한 연구는 보고되고 있으나, 2차로 도로를 구현하기 위한 차량모형에 대한 연구는 미흡한 실정이다. 따라서 본 연구에서는 이산적 시 공간 모형인 CA(Cellular Automata)모형을 기반으로 차량추월을 고려한 미시적 2차로 도로 차량모형을 개발하였다. 개발된 모형은 수정된 CA 차량추종모형과 추월모형을 이용하여 병렬적으로 결합된다. 모의실험을 수행한 결과, 차량추종모형은 다양한 거시적 교통류 관계를 설명하였으며, 추월모형은 대향방향 교통류와 차량추월 확률변수의 조건에 따라 다양한 거시적 교통류를 합리적으로 구현하였다. 따라서 본 연구에서 제시된 차량모형은 보다 다양한 2차로 도로교통류의 모의실험에 활용될 것으로 기대된다.