• Title/Summary/Keyword: Fourier series Expansion

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Back-EMF Characteristic Comparison of Vertical and Halbach Permanent Magnet Linear Generator (수직 및 할박자화를 갖는 영구자석 선형발전기의 역기전력 특성비교)

  • Seo, Sung-Won;Koo, Min-Mo;Choi, Jang-Young;Kim, Kyong-Hwan
    • Proceedings of the KIEE Conference
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    • 2015.07a
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    • pp.794-795
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    • 2015
  • This paper deals with back-EMF characteristic comparison of Vertical and Halbach array double-sided linear generator with coreless type. On the basis of a magnetic vector potential and Maxwell's equations, governing equations are obtained, and magnetic modeling is predicting characteristic analysis by using the Fourier series expansion. And then, we obtained magnetic field solutions and calculated resistance, back-EMF constant. The analytical results used by 2-D cylindrical coordinate system. The analytical method used in this paper is confirmed by comparing with finite element analysis results.

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Transient Response of Composite Cylindrical Shells with Ring Stiffeners (링보강 복합재료 원통셸의 과도응답)

  • Kim, Young-Wann;Chung, Kang;Park, Kyung-Jo
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.883-888
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    • 2001
  • The theoretical method is developed to investigate the effects of ring stiffeners on free vibration characteristics and transient response for the ring stiffened composite cylindrical shells subjected to the impulse pressure loading. In the theoretical procedure, the Love's thin shell theory combined with the discrete stiffener theory to consider the ring stiffening effect is adopted to formulate the theoretical model. The concentric or eccentric ring stiffeners are laminated with composite and have the uniform rectangular cross section. The modal analysis technique is used to develop the analytical solutions of the transient problem. The analysis is based on an expansion of the loads, displacements in the double Fourier series that satisfy the boundary conditions. The effect of stiffener's eccentricity, number, size, and position on transient response of the shells is examined. The theoretical results are verified by comparison with FEM results.

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The Effect of Liquid Level on the Natural Frequencies of a Partially Liquid-Filled Circular Cylindrical Shell (유체로 채워진 원통형 쉘의 고유진동수에미치는 수위의 영향)

  • 정경훈;이성철
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.04b
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    • pp.314-319
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    • 1995
  • The effect of liquid level on the natural frequencies and mode shapes of a partially liquid-filled circular cylindrical shell with various boundary conditions is investigated by means of a theoretical analysis based upon Fourier series expansion method and a finite element analysis using ANSYS computer program. Two dimensional mode shapes of the liquid-coupled shell structure are obtained by the ANSYS finite element analysis and show that the liquid level affect the nodal point movement. It is found that the variation of normalized naturalfrequencies (natural frequencies of liquid-filled shell/antural frequencies ofempty shell) to the liquid level is depend on the axial mode numbers and circumferential wave numbers. Additionally, it is found that the number of variational steps of normalized natural frequencies is identicial to that of axial nodal points of the mode shape.

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Frequency Sensitivity Analysis of Nonsinusoidal Input Voltage in Steady State (정상상태에서의 비정현적 입력전압의 주파수 민감도 해석)

  • Choi, Myung-Jun;Lee, Se-Hee;Kim, Chang-Hyun;Park, Il-Han
    • Proceedings of the KIEE Conference
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    • 1997.07a
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    • pp.124-126
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    • 1997
  • A number of electromagnetic devices periodically driven by solid-state switches have been analyzed with time-stepping finite element method, which requires much time to reach a steady state. The sensitivity analysis which have been used for the shape design is employed for an efficient calculation of linear magnetodynamics with nonsinusoidal driving sources. The high-order frequency sensitivity from the harmonic finite element formulation is used along with Fourier transform and Taylor series expansion. The algorithm is validated through a numerical example of a single-phase transformer driven by a trapezoidal voltage source.

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Analysis of Thermal Crown of Working Roll in Hot Strip Rolling (열간 압연하에서 작업롤의 Thermal Crown에 관한 연구)

  • Cho, Jin
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.8
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    • pp.1451-1457
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    • 1992
  • In hot strip rolling, the thickness of strip cannot be retained uniform by several irregular parameters. It has been shown that the load distribution can affect only a small fraction of the excess strip crown, whereas the thermal effects of working roll are the major reason on large changes in the strip center crown during hot rolling. In this study, the temperature distribution of working roll is represented by fourier series expansion. The analytical solution of the resulting thermo-elasticity problem is obtained by love's strain function. The results which are compared with those of the finite element method show good agreements.

On the Dynamic Response of Laminated Circular Cylindrical Shells under Dynamic Loads (동하중을 받는 복합재료 원통셸의 동적거동 해석)

  • 이영신;이기두
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.11
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    • pp.2684-2693
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    • 1993
  • The free vibration and dynamic response of cross-ply for CFRP and GFRP laminated circular cylindrical shells under dynamic loadings are investigated by using the first-order shear deformation shell theory. The modal analysis technique is used to develop the analytical solutions of simply supported cylindrical shells under dynamic load. The analysis is based on an expansion of the loads, displacements and rotations in a double Fourier series which satisfies the and boundary conditions of simply support. Analytical solution is assumed to be separable into a function of time and a function of position. In this paper, the considered load forces are step pulse, sine pulse, triangular(1, 2, 3) pulse and exponential pulse. The solution for a given loading pulse can be found by involving the convolution integral. The results show that the dynamic response are governed primarily by the natural period of the structure.

The Analysis of the Inductance Profile in the Single Phase SRM for Blower (송풍기 구동용 단상 SRM의 인덕턴스 해석)

  • Lee Jong-Han;Lee Eun-Woong;Kim Yong-Heon;Ku Tae-Man
    • Proceedings of the KIEE Conference
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    • summer
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    • pp.1025-1027
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    • 2004
  • Recently, the Single phase SRM has been researched and developed in many appliances with various types. This paper presents a theoretical representation of the phase inductance of a single phase SRM, as function of position and current, taking into account the non-linearity of the magnetic circuit. The method is based on the Fourier series expansion. the theoretical expressions for the calculation of instantaneous phase inductance, flux linkage, coenergy and electromagnetic torque as a function of rotor position and winding currents are derived. And it is compared with the results of the finite element analysis.

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Overmodulation Operation of SVM for NPC Type 3-Level Inverter (NPC형 3레벨 인버터의 공간벡터 과변조운전)

  • Lee, Jae-Moon;Choi, Jae-Ho
    • The Transactions of the Korean Institute of Power Electronics
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    • v.13 no.1
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    • pp.22-32
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    • 2008
  • This paper proposes a linearization technique for the 3-level NPC type inverter, which increases the linear control range of Inverter up to the one-pulse inverter. The overmodulation range is divided into two modes depending on the Modulation Index, MI. In overmodulation region I, the reference angles are derived from the fourier series expansion of the reference voltage corresponding to the MI. In overmodulation region II, the holding angles are also derived in the same way. Therefore, it is possible to obtain the linear control and the maximized utilization of PWM inverter output voltage.

Simple Space Vector PWM Scheme for 3-level NPC Inverters Including the Overmodulation Region

  • Lee, Dong-Myung;Jung, Jin-Woo;Kwa, Sang-Shin
    • Journal of Power Electronics
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    • v.11 no.5
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    • pp.688-696
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    • 2011
  • This paper proposes a simple space vector PWM (SVPWM) scheme including overmodulation operation for 3-level NPC (Neutral Point Clamped) Inverters. The proposed scheme features a simple decision and calculation procedure for determining switching times in the overmodulation range by utilizing the duty calculation method used in 2-level inverters and the minimum phase error projection method widely employed in motor drive systems. The proposed scheme does not need to detect the angle of the reference vector or calculate trigonometric functions to determine the magnitude of the voltage vector. The magnitude of the angle of the new reference voltage vector is decided in advance with the help of the Fourier Series Expansion to extend the linearity of the output voltage of 3-level inverters in the overmodulation region. Experimental results demonstrate the validity of the proposed SVPWM scheme including overmodulation operation for 3-level NPC inverters.

Analysis of DC Link Ripple Currents in Three-Phase AC/DC/AC PWM Converters (3상 AC/DC/AC PWM 컨버터의 직류링크 리플전류 해석)

  • Park Young-Wook;Lee Dong-Choon;Seok Jul-Ki
    • Proceedings of the KIPE Conference
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    • 2001.07a
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    • pp.223-226
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    • 2001
  • In this paper, dc link ripple currents for three-phase ac/dc/ac PWM converters are analyzed in a frequency domain. The expression of the harmonic currents is developed by using switching functions and exponential Fourier series expansion. The dc link ripple currents with regard to power factor and modulation index are investigated. In addition, the effect of the displacement angle between the switching periods of line-side converters and load-side inverters on the do link ripple current is studied. The result of the do link current analysis is helpful in specifying the dc link capacitor size and its life time estimation.

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