• Title/Summary/Keyword: 적분 변환

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Construction of System Jacobian in the Equations of Motion Using Velocity Transformation Technique (속도변환법을 이용한 운동방정식의 시스템자코비안 구성)

  • Lee, Jae-Uk;Son, Jeong-Hyeon;Kim, Gwang-Seok;Yu, Wan-Seok
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.12
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    • pp.1966-1973
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    • 2001
  • The Jacobian matrix of the equations of motion of a system using velocity transformation technique is derived via variation methods to apply the implicit integration algorithm, DASSL. The concept of generalized coordinate partitioning is used to parameterize the constraint set with independent generalized coordinates. DASSL is applied to determine independent generalized coordinates and velocities. Dependent generalized coordinates, velocities, accelerations and Lagrange multipliers are explicitly retained in the formulation to satisfy all of the governing kinematic and dynamic equations. The derived Jacobian matrix of a system is proved to be valid and accurate both analytically and through solution of numerical examples.

A Study on the PV System Modeling Based on the PSCAD/EMTDC (PSCAD/EMTDC를 이용한 태양광발전의 모델링에 관한 연구)

  • Son, Joon-Ho;Rho, Dae-Seok;Kim, Chan-Hyeok;Wang, Yong-Peel
    • Proceedings of the KAIS Fall Conference
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    • 2010.11a
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    • pp.66-69
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    • 2010
  • 본 논문에서는 태양광전원용 3상 인버터의 배전계통 연계시의 동특성을 이해하고 해석하기 위하여, dq좌표변환과 원하는 전압의 크기와 위상을 만들어 내기 위해 사용한 비례적분 제어기(Proportinal Controller : PI), 출력전류 제어를 위한 전류제어 알고리즘, 2상/3상 변환 및 인버터의 Sinusoidal PWM방식의 인버터 설계에 대한 이론적인 알고리즘을 제시하였다. 이를 바탕으로 PSCAD/EMTDC를 이용한 태양광발전의 모델링을 수행하여, Simulation 결과와 산술적 해석의 비교, 분석을 통하여 모델링의 유효성을 확인하였다.

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A posture control for underwater vehicle with nonholonomic constraint (비 홀로노믹 구속조건을 이용한 수중 이동체의 자세제어에 관한 연구)

  • 남택근;노영오;안병원;김철승
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2004.04a
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    • pp.135-140
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    • 2004
  • In this paper, we study the posture control of an underwater vehicle with nonholonomic constraint. Generally, systems with nonholnomic constraints cannot be stabilized to an equilibrium points by smooth state feedback control. Therefore, we proposed a control strategy for posture control of the underwater vehicle using backstepping control. The proposed control scheme is applied to the posture control of an underwater vehicle and verified the effectiveness of control strategy by numerical simulation.

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Posture control for the free flying objects using chained form transformation. (체인드 폼을 이용한 공중부상체의 자세제어.)

  • Nam, Taek-Kun;Lee, Ki-Changi;Kim, Yong-Joo
    • Proceedings of the KIEE Conference
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    • 2003.07d
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    • pp.2378-2380
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    • 2003
  • 본 연구에서는 각 운동량 보존법칙으로부터 도출되어지는 공중부상체(flying objects)의 제어기법에 대해 논의하고자 한다. 먼저, 공중부상체에 대하여 각 운동량 보존법칙을 적용하여 적분불가능한 구속조건으로부터 비 홀로노믹시스템을 도출하고 상태변환과 입력변환을 행하여 제어가 용이한 체인드 폼(Chained form)을 유도한다. 체인드 폼에 대해서는 백스테핑제어기법을 적용하여 제어기를 설계하고 제어기법의 유용성을 검증하기 위하여 3개의 회전관절로 구성된 공중부상체를 대상으로 하여 초기자세로부터 목적자세까지의 제어를 행하였다.

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On the Study of Nonlinear Normal Mode Vibration via Poincare Map and Integral of Motion (푸앙카레 사상과 운동적분를 이용한 비선형 정규모드 진동의 연구)

  • Rhee, Huinam
    • Journal of KSNVE
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    • v.9 no.1
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    • pp.196-205
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    • 1999
  • The existence. bifurcation. and the orbital stability of periodic motions, which is called nonlinear normal mode, in a nonlinear dual mass Hamiltonian system. which has 6th order homogeneous polynomial as a nonlinear term. are studied in this paper. By direct integration of the equations of motion. Poincare Map. which is a mapping of a phase trajectory onto 2 dimensional surface in 4 dimensional phase space. is obtained. And via the Birkhoff-Gustavson canonical transformation, the analytic expression of the invariant curves in the Poincare Map is derived for small value of energy. It is found that the nonlinear system. which is considered in this paper. has 2 or 4 nonlinear normal modes depending on the value of nonlinear parameter. The Poincare Map clearly shows that the bifurcation modes are stable while the mode from which they bifurcated out changes from stable to unstable.

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Correction on Current Measurement Errors for Accurate Flux Estimation of AC Drives at Low Stator Frequency (저속영역에서 교류전동기의 정확한 자속추정을 위한 전류측정오차 보상)

  • Cho, Kyung-Rae;Seok, Jul-Ki
    • The Transactions of the Korean Institute of Power Electronics
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    • v.12 no.1
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    • pp.65-73
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    • 2007
  • This paper presents an on-line correction method of current measurement errors for a pure-integration-based flux estimation down to 1-Hz stator frequency. An observer-based approach is taken as one possible solution of eliminating the dc offset and the negative sequence component of unbalanced gains in the synchronous coordinate. At the same time, the positive sequence component estimation is performed by creating an error signal between a motor model reference and an estimated q-axis rotor flux established by a permanent magnet (PM) in the synchronous coordinate. The compensator utilizes a PI controller that controls the error signal to zero. The proposed technique further contains a residual error compensator to completely eliminate miscellaneous disturbances in the estimated flux. The developed algorithm has been implemented on a 1.1-kW permanent magnet synchronous motor (PMSM) drive to confirm the effectiveness of the proposed scheme.

Closed-form Expressions of Magnetic Field and Magnetic Gradient Tensor due to a Circular Disk (원판형 이상체에 의한 자력 및 자력 변화율 텐서 반응식)

  • Rim, Hyoungrea
    • Geophysics and Geophysical Exploration
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    • v.25 no.1
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    • pp.38-43
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    • 2022
  • In case axial symmetrical bodies with varying cross sections such as volcanic conduits and unexploded ordnance (UXO), it is efficient to approximate them by adding the response of thin disks perpendicular to the axis of symmetry. To compute the vector magnetic and magnetic gradient tensor respones by such bodies, it is necessary to derive an analytical expression of the circular disk. Therefore, in this study, we drive closed-form expressions of the vector magnetic and magnetic gradient tensor due to a circular disk. First, the vector magnetic field is obtained from the existing gravity gradient tensor using Poisson's relation where the gravity gradient tensor due to the same disk with a constant density can be transformed into a magnetic field. Then, the magnetic gradient tensor is derived by differentiating the vector magnetic field with respect to the cylindrical coordinates converted from the Cartesian coordinate system. Finally, both the vector magnetic and magnetic gradient tensors are derived using Lipschitz-Hankel type integrals based on the axial symmetry of the circular disk.

A Study on the Wavelet Transform of Acoustic Emission Signals Generated from Fusion-Welded Butt Joints in Steel during Tensile Test and its Applications (맞대기 용접 이음재 인장시험에서 발생한 음향방출 신호의 웨이블릿 변환과 응용)

  • Rhee, Zhang-Kyu
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.16 no.1
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    • pp.26-32
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    • 2007
  • This study was carried out fusion-welded butt joints in SWS 490A high strength steel subjected to tensile test that load-deflection curve. The windowed or short-time Fourier transform(WFT or STFT) makes possible for the analysis of non-stationary or transient signals into a joint time-frequency domain and the wavelet transform(WT) is used to decompose the acoustic emission(AE) signal into various discrete series of sequences over different frequency bands. In this paper, for acoustic emission signal analysis to use a continuous wavelet transform, in which the Gabor wavelet base on a Gaussian window function is applied to the time-frequency domain. A wavelet transform is demonstrated and the plots are very powerful in the recognition of the acoustic emission features. As a result, the technique of acoustic emission is ideally suited to study variables which control time and stress dependent fracture or damage process in metallic materials.

Measurement of Tire Structural Vibration Noise Using Spatial Transformation of Sound Field Technique (음장의 공간적 변환기법을 이용한 타이어 구조 진동 소음 측정)

  • Kim, Byoung-Sam
    • The Journal of the Acoustical Society of Korea
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    • v.14 no.5
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    • pp.11-19
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    • 1995
  • The Interaction between tire and road is responsible for the excited vibration of the tire, and It is also important for the sound radiation. In this paper. measurement of tire structural vibration noise from a chassis dynamometer using Spatial Transformation of Sound Field(STSF) technique is studied. STSF involving a scan that uses an array of transducers over a planar surface close to the source is under investigation. From cross spectra measurement during the scan, a principal component representing the sound field is extracted. Any power descriptor of the near field can then be investigated by means of near-field acoustic holography, while the distant field can be determined by application of Helmholtz integral equation. The results of the measurement were used to obtain the radiation sound pattern from the center line of the tire, and to locate the radiation sound generating regions in the vicinity of the tire.

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A Study on the Wavelet Transform of Acoustic Emission Signals Generated from Fusion-Welded Butt Joints in Steel during Tensile Test and its Applications (맞대기 용접 이음재 인장시험에서 발생한 음향방출 신호의 웨이블릿 변환과 응용)

  • Rhee Zhang-Kyu;Yoon Joung-Hwi;Woo Chang-Ki;Park Sung-Oan;Kim Bong-Gag;Jo Dae-Hee
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2005.05a
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    • pp.342-348
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    • 2005
  • This study was carried out fusion-welded butt joints in SWS 490A high strength steel subjected to tensile test that load-deflection curve. The windowed or short-time Fourier transform (WFT or SIFT) makes possible for the analysis of non-stationary or transient signals into a joint time-frequency domain and the wavelet transform (WT) is used to decompose the acoustic emission (AE) signal into various discrete series of sequences over different frequency bands. In this paper, for acoustic emission signal analysis to use a continuous wavelet transform, in which the Gabor wavelet base on a Gaussian window function is applied to the time-frequency domain. A wavelet transform is demonstrated and the plots are very powerful in the recognition of the acoustic emission features. As a result, the technique of acoustic emission is ideally suited to study variables which control time and stress dependent fracture or damage process in metallic materials.

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