• Title/Summary/Keyword: Series Expansion

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Design and Verification of Satellite Attitude Control system for Roll Maneuver (인공위성의 Roll축 자세제어시스템 설계 및 검증)

  • 김희섭;김기석;안재명;김유단;최완식
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.3
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    • pp.370-378
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    • 1999
  • KOMPSAT is a three-axis stabilized light weight satellite, and one of the main mission objectives of the KOMPSAT is to conduct scientific and technological analysis in the areas of high resolution imaging and ocean color imaging. This kind of mission requires the satellite to roll up to 45 degrees. Bang-bang control for this rolling maneuver may activate the flexible modes, and therefore cause satellite pointing performance degradation. To deal with this problem, the roll attitude control system, especially for the science mode and maneuver mode of the KOMPSAT, is first verified by numerical simulation. And the open-loop control law for roll maneuver is proposed by use of series expansion and optimization. The proposed control law is applied to KOMPSAT to see its effectiveness.

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Characteristic of Soil Parameter of Constitutive Model by Relative Density (상대밀도에 따른 구성모델의 토질매개변수 특성)

  • Kim, Chan-Kee;Cho, Won-Bum;Park, Wook-Keun;Kim, Eui-Jo;Kim, Young-Chul
    • Proceedings of the Korean Geotechical Society Conference
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    • 2010.09a
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    • pp.1117-1121
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    • 2010
  • Several isotropic compression-expansion tests and a series of drained conventional traxial tests with various confining pressures for relative density of Beakma river sand 25%, 50%, 80% and 100% selecting Lade's Single Work-Hardening constitutive model. This examination materials use regression analysis as a basis, depending on the relative density of soil parameters change statement attributes. Yield fuction represent the soil parameters h and $\alpha$ is not affected by the changes in the relative density. $\eta_1$ could be replaced by fomula. And Numerical analysis results predicted very good and could confirm that.

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Study on 3D Sound Generation System Using Structural HRTF Modeling (구조적 HRTF 모델을 이용한 3차원 음향 재생 방법에 관한 연구)

  • 이신렬
    • Proceedings of the Acoustical Society of Korea Conference
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    • 1998.06c
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    • pp.273.1-276
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    • 1998
  • 3D 음장 재생을 위한 기존의 방법 중 HCI(Human Computer Interface)에서 가장 효과적인 방법으로는 HRTF를 이용한 재생방법을 들 수 있다. 하지만 이 방법의 문제점은 표준 HRTF가 없다는 것이며 따라서 평균값을 가진 HRTF를 사용할 수밖에 없다. 이는 많은 부분에서 음상정위의 문제점으로 나타내어진다. 본 논문은 기하학적 인체 모델링을 통한 구조적인 HRTF 모델로 기존의 Pole/Zero, Series expansion(PCA) 모델링의 문제점인 유용성, 시스템의 복잡성을 극복할 수 있는 최근 이론을 소개하고 구현 방법에 대해 알아보고자 한다. 또한 본 연구팀에서 개발한 측정 HRTF를 이용한 3D 음장 재현 시스템으로 기존 스테레오 시스템에서는 불가능했던 머리 밖 음상정위 실험 결과를 보여주고 개선점에 대해 조사해 보았다.

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Higher Order Coordinates Conversion for UTM Projection (UTM 투영에 의한 고차 좌표변환)

  • Seo, Seung-Nam
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.20 no.3
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    • pp.277-290
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    • 2008
  • In order to apply UTM coordinates conversion in zones larger than $14^{\circ}$ wide, a new conversion formula, based on the 12th expansion of Taylor series, is derived which is shown to be an extension of Thomas' formula(1952). Some examples of coordinate conversion between WGS84 and UTM are presented and convergences of computational results are also tested according to the order of formula. The present conversion formula can be used to make rectangular coordinate grid systems for numerical models to compute long wave propagation such as tide or tsunami around Korea.

Analysis of a Tapered Rectangular Waveguide for V to W Millimeter Wavebands

  • Lee, Sangsu;Son, Dongchan;Kwon, Jae-Yong;Park, Yong Bae
    • Journal of electromagnetic engineering and science
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    • v.18 no.4
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    • pp.248-253
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    • 2018
  • An electromagnetic boundary-value problem of a tapered rectangular waveguide is rigorously solved based on eigenfunction expansion and the mode-matching method. Scattering parameters of the tapered rectangular waveguide are represented in a series form and calculated in terms of different rectangular waveguide combinations. Computation is performed to analyze reflection and transmission characteristics. Conductor loss by surface current density is also calculated and discussed.

Safety Assessment of Human Body for the Electromagnetic Field of Unbalanced Power System (불평형 계통에서의 전자계에 대한 인체안전평가)

  • 김상철;송현선;김두현
    • Journal of the Korean Society of Safety
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    • v.14 no.3
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    • pp.54-62
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    • 1999
  • This paper presents a study on the safety assessment of human body for electromagnetic field at unbalanced power system. The 3-phase load flow algorithm uses Newton-Raphson method based on Taylor series expansion of power flow equations in rectangular coordinates. The use of such a method can result in a solution with good convergence characteristics. In the safety assessment of human body, the approach based on fuzzy linguistic variable is employed to overcome the shortcomings resulting from a crisp set concept. The suggested scheme is applied to a 24bus system to validate the usefulness. The results for an unbalanced power system are compared with the results for a balanced power system.

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A Controller Design of a Magnetic Levitation System (자기부상 시스템의 제어기 설계)

  • Ha, Y.W.
    • Journal of Power System Engineering
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    • v.4 no.3
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    • pp.62-71
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    • 2000
  • A mathematical modeling for a magnetic levitation system is proposed using the Taylor series expansion of differential function for obtaining linearity. It is confirmed that this kind of linear approximation method can be used to the modeling of a magnetic levitation system. The two-degree-of-freedom optimal servo system for a constant reference signal is proposed using the LQ optimization technique. An additional state feedback is introduced at the output of the integrator to cancel the integral action for reference signal if there is no modeling error of the plant and no disturbance input to the plant. When the modeling error or the disturbance input exists, the integral effect appears. The system has a free parameter which can b used to tune the effect of the integral compensation.

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Computional Errors in the Elements of Stiffness Matrix for Tapered Members (선형변단면부재(線型變斷面部材)의 강도(剛度)매트릭스들의 계산상(計算上) 오차(誤差))

  • Lee, Yong Woo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.5 no.2
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    • pp.35-39
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    • 1985
  • The closed form of the stiffness matrix is derived in terms of closed forms of intergrals for analyses of plane frame members containing linerly tapered members with the cross section of thin-walled tube. The series expansion forms of these are also developed to study the errors in the closed form of the stiffness matrix. The useful limits of the closed form of integrals are defined in terms of the relative taper.

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NPC Type 3 Level Inverter Operation in Overmodulation Region (NPC형 3레벨 인버터 과변조영역운전)

  • Lee, Jae-Moon;Choi, Jae-Ho;Lee, Eun-Kyu;Yeom, Sang-Gu
    • Proceedings of the KIEE Conference
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    • 2007.04c
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    • pp.194-197
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    • 2007
  • This paper proposes a linearization technique for the 3 level NPC type inverter, which increases the linear control range of inverter up to the 6-step inverter. The overmodulation range is divided into two modes depending on the modulation index(MI), In mode I, the reference angles are derived from the Fourier series expansion of the reference voltage corresponds to the MI. In mode 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.

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Impact response analysis of delaminated composite laminates using analytical solution (이론 해를 이용한 층간 분리된 적층판의 충격거동 해석)

  • Kim, Sung-Joon;Shin, Jeong-Woo;Chae, Dong-Chul
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.315-320
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    • 2007
  • An analytical solution has been developed for the impact response of delaminated composite plates. The analysis is based on an expansion of loads, displacements, and rotations in a Fourier series which satisfies the end boundary conditions of simply-supported. The analytical formulation adopts the Laplace transformation technique, requiring a linearization of contact deformation. In this paper, the nonlinear contact stiffness is replaced by a linearized stiffness, to provide an estimate of the additional compliance due to contact area deformation effects. It has been shown that defects such as delaminations may be modeled as spring stiffness. The change in the impact characteristics as this spring stiffness has been investigated theoretically. Predicted impact responses using analytical solution are compared with the numerical ones from the 3-D non-linear finite element model. From the results, it is shown that analytical solution was found to be reliable for predicting the impact response.

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