• Title/Summary/Keyword: Time-Stepping Finite Element Method

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Finite Element Modeling of Perturbation Fields due to Colonies of Stress Corrosion Cracks(SCCs) in a Gas Transmission Pipeline (가스공급배관에서 응력부식균열 군에 의해 교란된 자속의 유한요소 모델링)

  • Yang, Sun-Ho
    • Journal of the Korean Society for Nondestructive Testing
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    • v.21 no.5
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    • pp.493-500
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    • 2001
  • The detection of axial cracks using conventional MFL pig is a significant challenge in the gas pipeline inspection. In this study, a technique using interaction of circumferentially induced torrents with axial stress corrosion crack is presented. The feasibility of this technique is investigated using finite element modeling. Finite element analysis of such interaction is a difficult problem in terms of both computation time and memory requirements. The challenges arise due to the nonlinearity of material properties, the small sire of tight cracks relative to that of the magnetizer, and also time stepping involved in modeling velocity effects. This paper presents an approach based on perturbation methods. The overall analysis procedure is divided into 4 simple steps that can be performed sequentially. Modeling results show that this technique can effectively detect colonies of SCC as well as single SCC.

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Multi-Object Optimization of the Switched Reluctance Motor

  • Choi, Jae-Hak;Kim, Sol;Kim, Yong-Su;Lee, Sang-Don;Lee, Ju
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • v.4B no.4
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    • pp.184-189
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    • 2004
  • In this paper, multi-object optimization based on a progressive quadratic response surface method (PQRSM) and a time stepping finite element method (FEM) is proposed. The new PQRSM and FEM are able to decide optimal geometric and electric variables of the switched reluctance motor (SRM) with two objective functions: torque ripple minimization and average torque maximization. The result of the optimum design for SRM demonstrates improved performance of the motor and enhanced relationship between torque ripple and average torque.

The Optimal Design of Switched Reluctance Motor Using Progressive Quadratic Response Surface Method (점진적 2차 반응 표면 모델링 방법(PQRSM)을 이용한 SRM의 최적 설계)

  • Choi, Jae-Hak;Jung, Sung-In;Park, Jae-Bum;Lee, Ju;Hong, Kyung-Jin;Choi, Dong-Hoon
    • Proceedings of the KIEE Conference
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    • 2002.07b
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    • pp.595-597
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    • 2002
  • This paper presents an optimum design, which is able to determine optimal geometric and electric parameters of Switched Reluctance Motor so as to fit respective operating conditions specified in various industrial fields. Those works describe an approach to maximize the average torque while keeping the torque ripple within 10${\sim}$100(%) of respective limited values. This optimum design is obtained by uniting an optimization algorithm of PQRSM to a time stepping finite element method.

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HIGHER ORDER OF FULLY DISCREATE SOLUTION FOR PARABOLIC PROBLEM IN $L_{\infty}$

  • Lee, H.Y.;Lee, J.R.
    • Journal of applied mathematics & informatics
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    • v.4 no.1
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    • pp.17-30
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    • 1997
  • In this work we approximate the solution of initialboun-dary value problem using a Galerkin-finite element method for the spatial discretization and Implicit Runge-Kutta method for the spatial discretization and implicit Runge-Kutta methods for the time stepping. To deal with the nonlinear term f(x, t, u), we introduce the well-known extrapolation sheme which was used widely to prove the convergence in $L_2$-norm. We present computational results showing that the optimal order of convergence arising under $L_2$-norm will be preserved in $L_{\infty}$-norm.

Optimal Design of Magnetizing Fixture to Reduce Cogging Torque in Brushless DC Motors by Sequential RSM (순차적반응표면법을 이용한 착자요크 최적설계)

  • Hwang, Kyu-Yun;Rhyu, Se-Hyun;Kwon, Byung-Il
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.828-829
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    • 2008
  • This paper proposes a new pole shaped magnetizing fixture with a non uniform air gap for sinusoidal magnetizing a ring type permanent magnet (PM) to reduce the cogging torque. To obtain more sinusoidal distributed magnetic flux density, the magnetizing fixture's pole shape is optimized by using the sequential response surface method (RSM). And the effects of each design parameter were investigated using the magnetic analysis combined a time stepping finite element method (FEM) with Preisach model. It has been shown, through numerical analysis the optimized modelgives near sinusoidal distributed air gap flux density and drastically reduced cogging torque.

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The Multi-objective Optimization of Switched Reluctance Motor (스위치드 릴럭턴스 전동기의 다중목적함수의 최적화 방법 연구)

  • Choi, Jae-Hak;Shin, Hyun-Hun;Lim, Jin-Jae;Lee, Ju;Lee, Jung-Ho;Baek, Soo-Hyun
    • Proceedings of the KIEE Conference
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    • 2002.11d
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    • pp.118-120
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    • 2002
  • In this paper, a multi-object optimization based on a progressive quadratic response surface method (PQRSM) and a time stepping finite element method (FEM) is proposed. The new PQRSM and FEM are able to decide optimal geometric and electric variables of the switched reluctance motor (SRM) with two objective functions: torque ripple minimization and average torque maximization. The result of the optimum design for SRM show an improved performance of motor and a relationship between torque ripple and average torque.

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Flow Visualization and Unstructured Grid Computation of Flow over a High-Speed Projectile (고속탄자 유동의 가시화 실험 및 비정렬격자 계산)

  • 이상길;최서원;강준구;임홍규;백영호;김두연;강호철
    • Transactions of the Korean Society of Automotive Engineers
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    • v.6 no.2
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    • pp.12-20
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    • 1998
  • Exter ballistics of a typical high-speed projectile is studied through a flow-visualization experiment and an unstructured grid Navier-Srokes computation. Experiment produced a schlieren photograph that adequately shows the characteristic features of this complex flow, namely two kinds of oblique cone shocks and turbulent wake developing into the downstream. A hybrid scheme of finite volume-element method is used to simulate the compressible Reynolds-Averaged Navier-Stok- es solution on unstructured grids. Osher's approximate Riemann solver is used to discretize the cinvection term. Higher-order spatial accuracy is obtained by MUSCL extension and van Albada ty- pe flux limiter is used to stabilize the numerical oscillation near the solution discontinuity. Accurate Gakerkin method is used to discretize the viscous term. Explict fourth-order Runge-Kutta method is used for the time-stepping, which simplifies the application of MUSCL extension. A two-layer k-$\varepsilon$ turbulence model is used to simulate the turbulent wakes accurately. Axisymmetric folw and two-dimensional flow with an angle of attack have been computed. Grid-dependency is also checked by carrying out the computation with doubled meshes. 2-D calculation shows that effect of angle of attack on the flow field is negligible. Axi-symmetric results of the computation agrees well with the flow visualization. Primary oblique shock is represented within 2-3 meshes in numerical results, and the varicose mode of the vortex shedding is clearly captured in the turbulent wake region.

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Comparative Study of Dual-airgap Flux Switching and Spoke-type Interior Permanent Magnet Machines with Phase-group Concentrated-coil Windings (상 그룹 집중권 권선을 갖는 2중 공극 플럭스 스위칭기기와 스포크타입 매입형 영구자석 기기의 비교 연구)

  • Zhao, Wenliang;Kwon, Byung-il
    • Proceedings of the KIEE Conference
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    • 2015.07a
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    • pp.680-681
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    • 2015
  • This paper proposes a comparative study of dual-airgap flux switching permanent magnet (FSPM) and spoke-type interior permanent magnet (S-IPM) machines equipped with phase-group concentrated-coil (PGCC) windings. Both of the investigated machines are the same size and material amounts which are compared at the same operating conditions. All the relevant machine performance including back electromotive force (EMF), cogging torque, and electromagnetic torque are analyzed by a 2-D time-stepping finite element method (FEM).

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Characteristics of the Two-phase Induction Motor By the Inverter Fed Control

  • Yang Byoung-Yull;Kwon Byung-Il
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • v.5B no.4
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    • pp.312-316
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    • 2005
  • The single phase induction motor has been commonly applied to small-sized electrical appliances because of its low cost, but it has low efficiency and large torque ripple, and it is incapable of speed control. However, two-phase induction motors have small torque ripple, high efficiency and variable speed control, because they are inverter fed. In this paper, the dynamic characteristics of the two-phase induction motor, such as the torque ripple, current and speed, are analyzed by using the time-stepping finite element method, and compared with the cage-type single phase induction motor.

Analysis of the Torque Characteristics and Loss Distribution of the Rotor Bar of an Inverter-fed Cage Induction Motor with Skewed Slots (사구슬롯이 있는 3상 농형 유도 전동기의 인버터 구동시 토오크 특성 및 회전자 바 동손분포 해석)

  • Kim, Byeong-Taek;Choe, Byeong-Il;Park, Seung-Chan;O, Gyeong-Il
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.49 no.12
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    • pp.797-806
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    • 2000
  • In this paper, the torque characteristics and the bar loss distribution are analyzed when a general cage induction motor with skewed slots is fed by a 6-step inverter. For the electromagnetic analysis, time-stepping finite element method is used. And the multi-slice technique and sliding surface technique are respectively utilized to consider the skew effect and the rotation of the rotor. As a result, the effects of skewed rotor bar and the inverter output voltage on the characteristics of the torque and bar loss in the rotor are investigated. The simulation results are verified by measurement of flux density distribution axially in the stator teeth.

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