• Title/Summary/Keyword: finite differential method(FDM)

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Practical SPICE Model for IGBT and PiN Diode Based on Finite Differential Method

  • Cao, Han;Ning, Puqi;Wen, Xuhui;Yuan, Tianshu
    • Journal of Power Electronics
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    • v.19 no.6
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    • pp.1591-1600
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    • 2019
  • In this paper, a practical SPICE model for an IGBT and a PiN diode is proposed based on the Finite Differential Method (FDM). Other than the conventional Fourier model and the Hefner model, the excess carrier distribution can be accurately solved by a fast FDM in the SPICE simulation tool. In order to improve the accuracy of the SPICE model, the Taguchi method is adopted to calibrate the extracted parameters. This paper presents a numerical modelling approach of an IGBT and a PIN diode, which are also verified by SPICE simulations and experiments.

The Study on Current Limiting Characteristic Analysis of Magnetic Shielding Type Fault Current Limiter

  • Lee, Jae;Lim, Sung-Hun;Kang, Hyeon-Gon;Ko, Seok-Cheol;Han, Byoung-Sung
    • Progress in Superconductivity
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    • v.3 no.2
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    • pp.235-240
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    • 2002
  • In this paper, we investigated the current limiting characteristic in the magnetic shielding type fault current limiter(MSFCL). The circuit analysis was executed by using finite differential method(FDM). This paper suggests that the current limiting performance can be achieved in two ways (resistive and inductive one), according to design parameter. By comparing current limiting characteristics in two ways and surveying the important parameters which determine the operational way after fault occurs in the design of MSFCL, it is shown that the magnetic shielding type fault current limiter can be operated in either resistive or inductive way.

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Buckling of symmetrically laminated quasi-isotropic thin rectangular plates

  • Altunsaray, Erkin;Bayer, Ismail
    • Steel and Composite Structures
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    • v.17 no.3
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    • pp.305-320
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    • 2014
  • The lowest critical value of the compressive force acting in the plane of symmetrically laminated quasi-isotropic thin rectangular plates is investigated. The critical buckling loads of plates with different types of lamination and aspect ratios are parametrically calculated. Finite Differences Method (FDM) and Galerkin Method are used to solve the governing differential equation for Classical Laminated Plate Theory (CLPT). The results calculated are compared with those obtained by the software ANSYS employing Finite Elements Method (FEM). The results of Galerkin Method (GM) are closer to FEM results than those of FDM. In this study, the primary aim is to conduct a parametrical performance analysis of proper plates that is typically conducted at preliminary structural design stage of composite vessels. Non-dimensional values of critical buckling loads are also provided for practical use for designers.

Heat Transfer Analysis of Composite Materials Using MLS Finite Difference Method (MLS 유한차분법을 이용한 복합재료의 열전달문제 해석)

  • Yoon, Young-Cheol
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2008.04a
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    • pp.2-7
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    • 2008
  • A highly efficient moving least squares finite difference method (MLS FDM) for heat transfer analysis of composite material with interface. In the MLS FDM, governing differential equations are directly discretized at each node. No grid structure is required in the solution procedure. The discretization of governing equations are done by Taylor expansion based on moving least squares method. A wedge function is designed for the modeling of the derivative jump across the interface. Numerical examples showed that the numerical scheme shows very good computational efficiency together with high aocuracy so that the scheme for heat transfer problem with different heat conductivities was successfully verified.

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Heat Transfer Analysis of Bi-Material Problem with Interfacial Boundary Using Moving Least Squares Finite Difference Method (이동최소제곱 유한차분법을 이용한 계면경계를 갖는 이종재료의 열전달문제 해석)

  • Yoon, Young-Cheol;Kim, Do-Wan
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.6
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    • pp.779-787
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    • 2007
  • This paper presents a highly efficient moving least squares finite difference method (MLS FDM) for a heat transfer problem of bi-material with interfacial boundary. The MLS FDM directly discretizes governing differential equations based on a node set without a grid structure. In the method, difference equations are constructed by the Taylor polynomial expanded by moving least squares method. The wedge function is designed on the concept of hyperplane function and is embedded in the derivative approximation formula on the moving least squares sense. Thus interfacial singular behavior like normal derivative jump is naturally modeled and the merit of MLS FDM in fast derivative computation is assured. Numerical experiments for heat transfer problem of bi-material with different heat conductivities show that the developed method achieves high efficiency as well as good accuracy in interface problems.

Finite Difference Nonlinear Analysis of Composite Plate Structures with Various Layer Sequences (다양한 적층 배열을 갖는 복합 신소재 판 구조물의 유한차분 비선형 해석)

  • Lee, Sang Bum;Lee, Sang Youl;Lee, Rae Chul
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.9 no.4
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    • pp.159-168
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    • 2005
  • This study carries out a finite difference nonlinear analysis of anisotropic advanced composite plate structures with various layer sequences. In the numerical analysis of various mechanical problems involving complex partial differential equations, the finite difference method (FDM) developed in this study has an advantage over the finite element method in its ability to avoid mesh generation and numerical integration. Many studies in FDM have been made on clamped or simple boundary conditions using merely an energy approach. These approaches cannot be satisfied, however, with pivotal points along the free boundary. Therefore, this study addresses the nonlinear problem of anisotropic plates by adopting a finite difference modeling elimination of pivotal difference points in the case of a free boundary condition. Complex nonlinear behaviors of composite plate structures for various parameters, especially for layer sequences, are analyzed using the proposed approach.

Examination for Structural Safety of the Water Breaker to Green Water Impact Load (Green Water 충격하중을 받는 Water Breaker의 구조 안전성 검토)

  • Yang, Yun-Ho;Sim, Jong-Won;Yu, Byeong-Seok;Shin, Ki-Seok
    • Special Issue of the Society of Naval Architects of Korea
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    • 2006.09a
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    • pp.34-39
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    • 2006
  • In rough seas, water breaker of the sea-going ships is subject to high impact loads due to the green water and some ships' water breaker suffers structure damage. So, a substantial research on the structural response caused by green water impact is required. In this paper, the green water flow on bow deck is simulated by FDM(finite differential method). Using the results of green water simulation, impact loads on water breaker are calculated. Calculation results of the 6200TEU container ship's structural response to this green water impact pressure are shown and discussed for two condiered calculation conditions.

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Combined effects of material properties and boundary conditions on the large deflection bending analysis of circular plates on a nonlinear elastic foundation

  • Altekin, Murat
    • Computers and Concrete
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    • v.25 no.6
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    • pp.537-549
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    • 2020
  • Geometrically nonlinear axisymmetric bending analysis of shear deformable circular plates on a nonlinear three-parameter elastic foundation was made. Plates ranging from "thin" to "moderately thick" were investigated for three types of material: isotropic, transversely isotropic, and orthotropic. The differential equations were discretized by means of the finite difference method (FDM) and the differential quadrature method (DQM). The Newton-Raphson method was applied to find the solution. A parametric investigation using seven unknowns per node was presented. The novelty of the paper is that detailed numerical simulations were made to highlight the combined effects of the material properties and the boundary conditions on (i) the deflection, (ii) the stress resultants, and (iii) the external load. The formulation was verified through comparison studies. It was observed that the results are highly influenced from the boundary conditions, and from the material properties.

A Stability Analysis of a Biped Walking Robot about Balancing Weight (이족 보행로봇의 균형추 형태에 따른 안정성 해석)

  • Noh Kyung-Kon;Kim Jin-Geol
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.1
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    • pp.89-96
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    • 2005
  • This paper is concerned with a balancing motion formulation and control of the ZMP (Zero Moment Point) for a biped-walking robot that has a prismatic balancing weight or a revolute balancing weight. The dynamic stability equation of a walking robot which have a prismatic balancing weight is conditionally linear but a walking robot's stability equation with a revolute balancing weight is nonlinear. For a stable gait, stabilization equations of a biped-walking robot are modeled as non-homogeneous second order differential equations for each balancing weight type, and a trajectory of balancing weight can be directly calculated with the FDM (Finite Difference Method) solution of the linearized differential equation. In this paper, the 3dimensional graphic simulator is developed to get and calculate the desired ZMP and the actual ZMP. The operating program is developed for a real biped-walking robot IWRⅢ. Walking of 4 steps will be simulated and experimented with a real biped-walking robot. This balancing system will be applied to a biped humanoid robot, which consist legs and upper body, as a future work.