• Title/Summary/Keyword: nonlinear rotor

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$H_{\infty}$ Control of Magnetic Bearing-Rotor System : LMI- based approaches (자기베어링-로터시스템의 LMI 접근법에 의한 $H_{\infty}$ 제어기 설계)

  • 박충남;송오섭;강호식
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.05a
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    • pp.948-953
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    • 2001
  • Nonlinear dynamic equation of a 4-axis rigid rotor supported by two an-isotropic magnetic bearings is derived via Hamilton's principle. It is transformed to a state-space form for the standard Η$_{\infty}$ control problem. we present a robust Η$_{\infty}$ control design methods of continuous and discrete LMI-based approaches and improve performance using loopshaping.

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Study on noise prediction by classification of noise sources of a tip-jet driven rotor (팁젯 로터의 소음원 구분을 통한 소음 예측 기법 연구)

  • Ko, Jeongwoo;Kim, Jonghui;Lee, Soogab
    • The Journal of the Acoustical Society of Korea
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    • v.37 no.2
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    • pp.83-91
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    • 2018
  • The noise sources of a tip-jet driven rotor can be separated by rotor blade noise and jet noise. The rotor blade noise consists of thickness noise, loading noise, nonlinear quadrupole noise, and jet noise is divided into nozzle momentum noise and jet radiation noise. The flow analysis for the prediction of rotor blade noise is performed by CFD (Computational Fluid Dynamics) analysis, and the noise source of the rotor blade noise is identified by simultaneously applying the permeable and impermeable surface based FW-H (Ffowcs Williams-Hawkings) acoustic analogy. The nozzle momentum noise is obtained by permeable surface FW-H, and jet radiation noise is predicted by using empirical method for the fixed-wing jet. Both of jet noises use nozzle exit condition for noise analysis. The accuracy of the technique is verified based on the noise measurements of the tip-jet driven rotor, and the unique noise characteristics of the tip-jet driven rotor is confirmed by spectrum analysis.

Copper Loss and Torque Ripple Minimization in Switched Reluctance Motors Considering Nonlinear and Magnetic Saturation Effects

  • Dowlatshahi, Milad;Saghaiannejad, Sayed Morteza;Ahn, Jin-Woo;Moallem, Mehdi
    • Journal of Power Electronics
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    • v.14 no.2
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    • pp.351-361
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    • 2014
  • The discrete torque generation mechanism and inherently nonlinear magnetic characterization of switched reluctance motors lead to unacceptable torque ripples and limit the application of these motors. In this study, a phase current profiling technique and torque sharing function are proposed in consideration of magnetic saturation effects and by minimizing power loss in the commutation area between the adjacent phases. Constant torque trajectories are considered in incoming and outgoing phase current planes based on nonlinear T-i-theta curves obtained from experimental measurements. Optimum points on constant torque trajectories are selected by improving drive efficiency and minimizing copper loss in each rotor position. A novel analytic invertible function is introduced to express phase torque based on rotor position and its corresponding phase current. The optimization problem is solved by the proposed torque function, and optimum torque sharing functions are derived. A modification method is also introduced to enhance the torque ripple-free region based on simple logic rules. Compared with conventional torque sharing functions, the resultant reference current from the proposed method has less peak and effective values and exhibits lower copper loss. Experimental and simulation results from a four-phase 4 KW 8/6 SRM validate the effectiveness of the proposed method.

Toward a More Complete Analysis for Fluid-Structure Interaction in Helicopters

  • Kim, Kyung-Hwan;Shin, Sang-Joon;Lee, Jae-Won;Yee, Kwan-Jung;Oh, Se-Jong
    • International Journal of Aeronautical and Space Sciences
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    • v.7 no.2
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    • pp.110-120
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    • 2006
  • There have been developed many structural and fluid rotorcraft analysis models in rotorcraft community, and also lots of investigations have been conducted to combine these two models. These investigations turn out to be good at predicting the airloads precisely, but they have not taken the blade nonlinear deflection into account. For this reason, the present paper adopts a sophisticated structural model which can describe three-dimensional nonlinear deflection of the blade. And it is combined with two types of aerodynamic model. First one is generalized Greenberg type of finite-time aerodynamic model, which is originally established for a fixed wing, but later modified to be suitable for coupled flap-lag-torsional aeroelastic analysis of the rotor blade. Second aerodynamic model is based on the unsteady source-doublet panel method coupled with a free wake model. The advantages of the present method are capabilities to consider thickness of the blade and more precise wake effects. Transient responses of the airloads and structural deflections in time domain are mainly analyzed in this paper.

Response of Torque Controller for a MW Wind Turbine under Turbulence Wind Speed (난류 풍속에 대한 MW급 풍력발전기의 토크 제어기 응답)

  • Lim, Chae-Wook
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.41 no.3
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    • pp.173-180
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    • 2017
  • The main objective of a torque controller below rated wind speed is to extract maximum power from the potential wind energy. To do this, the torque control method, which adjusts the torque magnitude and makes it proportional to the square of the generator speed, has been applied. However, this method makes the response slower as the wind turbines are getting larger in size with multi-MW capacities. In this paper, a torque control method that uses the nonlinear parameter of rotor speed for aerodynamic torque as a control gain is discussed to improve the response by adjusting an additional torque magnitude. The nonlinear parameter of the rotor speed could be calculated both online and offline. It is shown that the offline case is more practical and effective in producing power through the numerical simulation of a 2MW wind turbine by considering the real turbulence wind speed.

Validation of HART II Structural Dynamics Predictions Based on Prescribed Airloads

  • Sa, Jeong-H.;You, Young-H.;Park, Jae-S.;Park, Soo-H.;Jung, Sung-N.
    • International Journal of Aeronautical and Space Sciences
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    • v.13 no.3
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    • pp.349-360
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    • 2012
  • In this study, the accuracy of CSD (Comprehensive Structural Dynamics) analysis on the evaluation of blade aeroelastic responses and structural loads of HART(Higher harmonic Aeroacoustic Rotor Test) II baseline rotor is assessed using a comprehensive rotorcraft dynamics code, CAMRAD II, and a nonlinear flexible multi-body dynamics analysis code, DYMORE. Considering insufficient measurement data for HART II rotor, prescribed airloads computed by a three-dimensional compressible flow solver KFLOW are used to replace the lifting-line airloads and thereby enhance the prediction capability of the comprehensive analyses. The CSD results on blade elastic deflections using the prescribed airloads indicate more oscillatory behavior than those by lifting-line based approaches, but the wave pattern becomes improved by including artificial damping into the rotor system. It is demonstrated that the structural load predictions are improved significantly by the prescribed airloads approach against the measured data, as compared with an isolated CSD analysis.

Evaluation of Fracture Toughness Degradation of CrMoV Rotor Steels Based on Ultrasonic Nonlinearity Measurements

  • Hyunjo Jeong;Nahm, Seung-Hoon;Jhang, Kyung-Young;Nam, Young-Hyun
    • Journal of Mechanical Science and Technology
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    • v.16 no.2
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    • pp.147-154
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    • 2002
  • The objective of this paper is to develop a nondestructive method for estimating the fracture toughness (K$\_$IC/) of CrMoV steels used as the rotor material of steam turbines in power plants. To achieve this objective, a number of CrMoV steel samples were heat-treated, and the fracture appearance transition temperature (FATT) was determined as a function of aging time. Nonlinear ultrasonics was employed as the theoretical basis to explain the harmonic generation in a damaged material, and the nonlinearity parameter of the second harmonic wave was the experimental measure used to be correlated to the fracture toughness of the rotor steel. The nondestructive procedure for estimating the 7c consists of two steps. First, the correlations between the nonlinearity parameter and the FATT are sought. The FATT values are then used to estimate K$\_$IC/, using the K$\_$IC/ versus excess temperature (i.e., T-FATT) correlation that is available in the literature for CrMoV rotor steel.

Sliding Mode Trim and Attitude Control of a 2-00F Rigid-Rotor Helicopter Model

  • Jeong, Heon-Sul;Chang, Se-Myong;Park, Jin-Sung
    • International Journal of Aeronautical and Space Sciences
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    • v.6 no.2
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    • pp.23-32
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    • 2005
  • An experimental control system is proposed for the attitude control of a simplified 2-DOF helicopter model. The main rotor is a rigid one, and the fuselage is simply supported by a fixed hinge point where the longitudinal motion is decoupled from the lateral one since the translations and the rolling rotation are completely removed. The yaw trim of the helicopter is performed with a tail rotor, by which the azimuthal attitude can be adjusted on the rotatable post in the yaw direction. The robust sliding mode control tracking a given attitude angle is proposed based on the flight dynamics. A pitch damper is inserted for the control of pitching angle while the compensator to reaction torque is used for the control of azimuth angle. Several parameters of the system are selected through experiments. The results shows that the proposed control method effectively counteracts nonlinear perturbations such as main rotor disturbance, undesirable chattering, and high frequency dynamics.

Inelastic Transient Dynamic Analysis of Two- and Three-dimensional Stress Problems by Particular Integral Boundary Element Method (로터 시스템 회전운동의 정식화 및 해석)

  • Yun, Seong-Ho;Ren, Li-Min
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.21 no.5
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    • pp.475-482
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    • 2008
  • This paper indicates that the use of Euler angles lacks in its consistency and exactness of analysis when it was applied to incorporate the rotational equation of motion for rotor systems by previous researcher. Kinetic energy and angular velocity are different from case to case depending on the way of choosing Euler angles and thus only the linear system has been investigated even though the rotor system has a very nonlinear behavior. A new methodology is applied by using both spherical coordinate and quaternion in the rotor rotation to overcome weaknesses of Euler angles and shows its superiority It is found through numerical examples that the use of quaternion will be a more useful and valid tool to derive the numerical model of the rotor system.

Subsynchronous Vibration Behavior of Turbocharger Supported by Semi Floating Ring Bearing (세미 플로팅 링 베어링으로 지지된 터보차저의 Subsynchronous 진동 특성)

  • Lee, Donghyun;Kim, Youngcheol;Kim, Byungok;Ahn, Kookyoung;Lee, Youngduk
    • The KSFM Journal of Fluid Machinery
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    • v.20 no.1
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    • pp.15-20
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    • 2017
  • The small turbocharger for the automotive application is designed to operate up to 200,000 rpm to increase system efficiency. Because of high rotation speed of turbocharger, floating ring bearing are widely adopted due to its low friction loss and high rotordynamic stability. This paper presents a linear and nonlinear analysis model for a turbocharger rotor supported by a semi-floating ring bearing. The rotordynamic model for the turbocharger rotor was constructed based on the finite element method and fluid film forces were calculated based on the infinitely short bearing assumption. In linear analysis, we considered fluid film force as stiffness and damping element and in nonlinear analysis, the fluid film force was calculated by solving the time dependent Reynolds equation. We verified the developed theoretical model by comparing to modal test results of test rotors. The analysis results show that there are two unstable modes, which are conical and cylindrical modes. These unstable modes appear as sub-synchronous vibrations in nonlinear analysis. In nonlinear analysis, frequency jump phenomenon demonstrated when vibration mode is changed from conical mode to cylindrical one. This jump phenomenon was also demonstrated in the test. However, the natural frequency measured in the test differs from those obtained using nonlinear analysis.