• Title/Summary/Keyword: rational fitting

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Multiresidual approximation of Scattered Volumetric Data with Volumetric Non-Uniform Rational B-Splines (분산형 볼륨 데이터의 VNURBS 기반 다중 잔차 근사법)

  • Park, S.K.
    • Korean Journal of Computational Design and Engineering
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    • v.12 no.1
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    • pp.27-38
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    • 2007
  • This paper describes a multiresidual approximation method for scattered volumetric data modeling. The approximation method employs a volumetric NURBS or VNURBS as a data interpolating function and proposes two multiresidual methods as a data modeling algorithm. One is called as the residual series method that constructs a sequence of VNURBS functions and their algebraic summation produces the desired approximation. The other is the residual merging method that merges all the VNURBS functions mentioned above into one equivalent function. The first one is designed to construct wavelet-type multiresolution models and also to achieve more accurate approximation. And the second is focused on its improvement of computational performance with the save fitting accuracy for more practical applications. The performance results of numerical examples demonstrate the usefulness of VNURBS approximation and the effectiveness of multiresidual methods. In addition, several graphical examples suggest that the VNURBS approximation is applicable to various applications such as surface modeling and fitting problems.

Frequency Dependent Network Equivalent for Electromagnetic Transient Studies (전자기 과도현상 해석을 위한 주파수 의존 시스템 등가)

  • Wang, Yong-Peel;Jo, Keum-Sik
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.9
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    • pp.1549-1555
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    • 2007
  • The complexity of modern power systems often makes it impractical to model it in its entirety for electromagnetic transient studies. Therefore areas outside the immediate area of interest must be represented by some form of Frequency Dependent Network Equivalent (FDNE). The advantage of using z-domain fitting is that it can be directly implemented in a digital simulation program without any loss of accuracy. Fitting in the s-domain always requires "discretizing" a continuous system and the inherent approximations. This paper presents z-domain rational function formulation and demonstrates the use of it for the assessment of the transient response of the Lower South Island of New Zealand. Moreover by using a well publicized test system and providing complete information on the developed FDNE coefficients other researchers easily benchmark their work against this.

Probability-Based Estimates of Basic Design Wind Speeds In Korea (확률에 기초한 한국의 기본 설계풍속 주정)

  • 조효남;백현식;차철준
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1988.10a
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    • pp.7-12
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    • 1988
  • This study presents rational methods for probability-based estimates of basic design wind speeds in Korea and develops a risk-bases nation-wide map of design wind speeds. The paper examines the fitting of the Type-I extreme model to maximum yearly non-typhoon wind data from long-term records based on the conventional method and to maximum monthly nod-typhoon wind data from short-term records following Grigorin's approach. The paper also reviews the applicability of the method using short records of about 5 years. The basic design wind speeds for typhoon and non-typhoon wind at a station are made to be obtained from a mixed model which is given as a product of typhoon and non-typhoon extreme wind distributions. A practical method which is based on the fitting of the Type I model to records or typhoon and non-typhoon mixed wind data at a station is also preposed in this study.

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An Improved Distributed Equivalent Circuit Modeling for RF Components by Real-Coefficient AFS Technique

  • Kim, Koon-Tae;Ko, Jae-Hyeong;Paek, Hyun;Kahng, Sung-Tek;Kim, Hyeong-Seok
    • Journal of Electrical Engineering and Technology
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    • v.6 no.3
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    • pp.408-413
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    • 2011
  • In this paper, a real-coefficient approach to Adaptive Frequency Sampling (AFS) technique is developed for efficient equivalent circuit modeling of RF components. This proposed method is advantageous than the vector fitting technique and the conventional AFS method in terms of fewer samples leading to a lower order of a rational function on a given data and to a direct conversion to an equivalent circuit for PSPICE(Personal Simulation Program with Integrated Circuit Emphsis) simulation, respectively. To validate the proposed method, the distributed equivalent circuit of a presented multi-layered RF low-pass filter is obtained using the proposed real-coefficient AFS, and then comparisons with EM simulation and circuit simulation for the device under consideration are achieved.

A Study on Reverse Design of Cam Mechanism using NURBS (NURBS를 이용한 캠 기구의 역설계에 관한 연구)

  • 김상진;신중호;김대원;윤호업
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.10a
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    • pp.920-924
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    • 2002
  • This paper presents the reverse design of a cam mechanism using NURBS(Nonuniform Rational B-spline curve). Cam is very difficult to make the accurate shape on the design and the manufacture. Because the cam shape is commonly made in order to move in special functions. The reverse design can be used to check accuracy between the designed data and the manufactured data of the cam shape and also reproduce the cam without the design data. The reverse design procedures consist of motion analysis and curve fitting. The motion analysis is used the central difference method and the relative velocity method to find the displacement and velocity. The curve fitting is used NURBS to develope the whole curve. The central difference method is derived in the 3 dimensional space.

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S-Domain Equivalent System for Electromagnetic Transient Studies PART II : Frequency Dependent AC System Equivalent (전자기 과도현상 해석을 위한 S 영역 등가시스템 PART II: 주파수 의존 교류 시스템 등가)

  • Chung Hyeng-Hwan;Wang Yong-Peel
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.54 no.4
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    • pp.165-171
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    • 2005
  • Electromagnetic transient simulation can be used to model complex non-linearities that very difficult to represent adequately in the frequency domain. This problem is greatly reduced with the use of frequency dependent network equivalents for the linear part of the system. S-domain rational function fitting techniques for representing frequency dependent equivalents have been developed using Least Squares Fitting(LSF). However it does not suffer the implementation error that exited in this work as it ignored the instantaneous term. This paper presents the formulation for developing 2 port Frequency Dependent AC System Equivalent(FDACSE) with the instantaneous term in S-domain and illustrates its use. This 2 port FDNE have been applied to the New Zealand AC system. The electromagnetic transient package PSCAD/EMTDC is used to assess the transient response of the 2 port (FDACSE) developed with Norton Equivalent network. The study results have indicated the robustness and accuracy of 2 port FDACSE for electromagnetic transient studies.

Frequency Dependend Network Equivalents to Electromagnetic Transient Simulation (주파수 의존 등가회로의 전자기 과도 현상 시뮬레이션)

  • Wang, Y.P.;Jo, K.S.;Kim, H.J.
    • Proceedings of the KIEE Conference
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    • 2007.07a
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    • pp.592-593
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    • 2007
  • The complexity of modern power systems often makes it impractical to model it in its entirety for electromagnetic transient studies. Therefore areas outside the immediate area of interest must be represented by some form of Frequency Dependent Network Equivalent (FDNE). The advantage of using z-domain fitting is that it can be directly implemented in a digital simulation program without any loss of accuracy. Fitting in the s-domain always requires "discretizing" a continuous system and the inherent approximations. This paper presents z-domain rational function formulation and demonstrates the use of it for the assessment of the transient response of the Lower South Island of New Zealand.

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Equivalent Circuit Modeling applying Adaptive Frequency Sampling (Adaptive Frequency Sampling 을 이용한 등가회로 모델링)

  • Paek, Hyun;Kim, Koon-Tae;Kahng, Sung-Tek;Kim, Hyeong-Seok
    • 한국정보통신설비학회:학술대회논문집
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    • 2009.08a
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    • pp.281-284
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    • 2009
  • In this paper, we propose a method that applies Adaptive Frequency Sampling(AFS) technique to the equivalent circuit model for RF passive components. Thes days wireless communication system is getting smaller and smaller. So EMI/EMC is an issue in RF. We can solve PI(Power Integrity)/SI(Signal Integrity) that one of EMI/EMC problem apply IFFT for 3D EM simulation multiple with input signal. That is time comuming task. Therefore equivalent circuit model using RF passive component is important. AFS schemes are implemented to obtain the rational functions. S parameters of the equivalent circuit moldel is compared to those of EM simulation in case of the microstrip line structure.

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Dispersive FDTD Modeling of Human Body with High Accuracy and Efficiency (정확하고 효율적인 인체 FDTD 분산 모델링)

  • Ha, Sang-Gyu;Cho, Jea-Hoon;Kim, Hyeong-Dong;Choi, Jae-Hoon;Jung, Kyung-Young
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.23 no.1
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    • pp.108-114
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    • 2012
  • We propose a dispersive finite-difference time domain(FDTD) algorithm suitable for the electromagnetic analysis of the human body. In this work, the dispersion relation of the human body is modeled by a quadratic complex rational function(QCRF), which leads to an accurate and efficient FDTD algorithm. Coefficients(involved in QCRF) for various human tissues are extracted by applying a weighted least square method(WLSM), referred to as the complex-curve fitting technique. We also presents the FDTD formulation for the QCRF-based dispersive model in detail. The QCRFbased dispersive model is significantly accurate and its FDTD implementation is more efficient than the counterpart of the Cole-Cole model. Numerical examples are used to show the validity of the proposed FDTD algorithm.

S-Domain Frequency Dependent Network Equivalent for Electromagnetic Transient and Harmonic Assessment (전자기 과도현상 해석과 고조파 평가를 위한 S영역 주파수 의존 등가시스템 개발)

  • Wang, Y.P.;Chong, H.H.;Lee, J.T.;Han, H.H.;Kim, H.J.;Chong, D.I.;Kwak, N.H.
    • Proceedings of the KIEE Conference
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    • 2006.07a
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    • pp.143-144
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    • 2006
  • The recent power systems are very complex and to model them completely is impractical for analysis of electromagnetic transient Therefore areas outside the immediate area of interest must be represented by some form of Frequency Dependent Network Equivalent (FDNE). In this paper a method for developing Frequency Dependent Network Equivalent (FDNE) using S-domain rational Function Fitting is presented and demonstrated. The FDNE is generated by Linearized Least Squares Fitting(LSF) of the frequency response of a S-domain formulation. This Three-port FDNE have been applied to the test AC power system. The electromagnetic transient package PSCAD/EMTDC is used to assess the transient response of the Three-port FDNE developed under different condition. The study results have indicated the robustness and accuracy of Three-port FDNE for analisys of electromagnetic transient and harmonic assessment.

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