• Title/Summary/Keyword: Time Stepping Method

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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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ACCURACY AND CONVERGENCE OF THE LOCAL PRECONDITIONING ON THE HIGH ASPECT RATIO GRIDS (가로세로비가 큰 격자에서 국소 예조건화 기법의 정확성 및 수렴성)

  • Lee, J.E.;Kim, Y.;Kwon, J.H.
    • 한국전산유체공학회:학술대회논문집
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    • 2009.04a
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    • pp.269-276
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    • 2009
  • The local preconditioning method has both robust convergence and accurate solutions by using local flow properties for parameters in the preconditioning matrix. Preconditioning methods have been very effective to low speed inviscid flows. In the viscous and turbulent flows, deterioration of convergence should be overcame on the high aspect ratio grids to get better convergence and accuracy. In the present study, the local time stepping and min-CFL/max-VNN definitions are applied to compare the results and we propose the method that switches between two methods. The min-CFL definition is applied for inviscid flow problems and the min-CFL/max-VNN definition is implemented to viscous and turbulent flow problems.

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Prediction of Dynamic Stability Derivatives Using Unsteady Euler Equations (비정상 Euler 방정식을 이용한 동안정 미계수 예측)

  • Park Soo Hyung;Kim Yoonsik;Kwon Jang Hyuk
    • 한국전산유체공학회:학술대회논문집
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    • 2001.05a
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    • pp.78-84
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    • 2001
  • A dual-time stepping algorithm combined with a parallelized multigrid DADI method is presented to predict the dynamic damping coefficients. The Basic Finner model is chosen to validate the prediction capability of the present unsteady Euler method. The linearity of the pitch- and roll-damping coefficients is shown in the low angular rates and the interesting large drop and stiff increment in transonic region for roll-damping coefficients are explained in detail. Through the analysis for the pressure distributions at Mach number 1.0 to 1.2, the sudden drop results from the normal shock and the stiff increment of roll-damping reflects the transition of the normal shock to the oblique shock. The results also show that the Euler equations can give the damping coefficients with a comparable accuracy.

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Characteristic Analysis and Design of Switched Reluctance Motor for the Improved 2-phase Snail-earn Type Fan Motor

  • Lee, Ji-Young;Lee, Geun-Ho;Hong, Jung-Pyo
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • v.4B no.1
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    • pp.1-5
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    • 2004
  • This paper deals with the design and analysis of a 2-phase Switched Reluctance Motor (SRM) used for the cooling fan motor of a refrigerator. To reduce the dead zone and improve the efficiency, the snail-earn type rotor pole and the asymmetric stator pole are investigated. For the optimal shape design, the performances of each model are obtained from numerical calculation results by 2D time-stepping finite element method (FEM) coupled with circuit equations. The accuracy of analysis is verified by comparing the analysis results with experimental data. According to the investigation results, improved shapes of stator and rotor poles are proposed.

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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Numerical Simulation of Two-dimensional Breaking Waves (2차원 쇄파의 수치해석)

  • Il-H.,Cho;Hang-S.,Choi
    • Bulletin of the Society of Naval Architects of Korea
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    • v.25 no.4
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    • pp.1-6
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    • 1988
  • In this paper two-dimensional breaking waves of plunger type are numerically simulated both on an even bottom and on a sinusoidally-varying bottom within the framework of potential theory. Based on the boundary integral method derived by Vinje and Brevig, fluid particles on the free surface are treated exactly by using semi-Lagrangian time-stepping. Numerical instability, in particular when the wave front becomes vertical, is discussed and the regriding method of nodal points has been found promising. Numerical accuracy is examined in terms of the wave energy and mass conservations. It is also found that the bottom topography affects significantly and the hydrostatic pressure contributes considerably to the nonoscillating force acting on the bottom, when waves are breaking.

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Nonlinear Free Surface Flows for an Axisymmetric Submerged Body (축대칭 몰수체에 대한 비선형 자유표면 유동)

  • Chang-Gu Kang
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.1
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    • pp.27-37
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    • 1991
  • In this paper the nonlinear free surface flows for an axisymmetric submerged body oscillating beneath the free surface are solved and the forces acting on the body are calculated. A boundary integral method is applied to solve the axisymmetric boundary value problem and the Runge-Kutta 4-th order method is used for the time stepping of the free surface location. The nonlinear forces acting on the axisymmetric body are computed and compared with published results.

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