• Title/Summary/Keyword: Torque Equilibrium

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Non-Equilibrium Green Function Method in Spin Transfer Torque

  • You, Chun-Yeol
    • Journal of Magnetics
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    • v.12 no.2
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    • pp.72-76
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    • 2007
  • We investigate the spin transfer torque in metallic multilayer system by employing Keldysh non-equilibrium Green function method. We study the dependences of the spin transfer torque on the detailed energy configuration of ferromagnetic, spacer, and lead layers. With Keldysh non-equilibrium Green function method applied to a single band model, we explore spin transfer torque effect in various layer structures and for various material parameters.

Analysis on Torque, Flowrate, and Volumetric Displacement of Gerotor Pump/Motor

  • Yun, Hongsik;Ham, Young-Bog;Kim, Sungdong
    • Journal of Drive and Control
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    • v.17 no.2
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    • pp.28-37
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    • 2020
  • It is difficult to analytically derive the relationship among volumetric displacement, flowrate, torque, and rotation speed regarding an instantaneous position of gerotor hydraulic pumps/motors. This can be explained by the geometric shape of the rotors, which is highly complicated. Herein, an analytical method for the instantaneous torque, rotation speed, flowrate, and volumetric displacement of a pump/motor is proposed. The method is based on two physical concepts: energy conservation and torque equilibrium. The instantaneous torque of a pump/motor shaft is determined for the posture of rotors from the torque equilibrium. If the torque equilibrium is combined with the energy conservation between the hydraulic energy of the pump/motor and the mechanical input/output energy, the formula for determining the instantaneous volumetric displacement and flowrate is derived. The numerical values of the instantaneous volumetric displacement, torque, rotation speed, and flowrate are calculated via the MATLAB software programs, and they are illustrated for the case in which inner and outer rotors rotate with respect to fixed axes. The degrees of torque fluctuation, speed fluctuation, and flowrate fluctuation can be observed from their instantaneous values. The proposed formula may provide a better understanding of the design or analysis process of gerotor pumps/motors.

The Design of Radial Magnetic Force Equilibrium for Reduction of Vibration and Noise in IPM Type BLDC Motor (IPM type BLDC 전동기의 진동 및 소음 저감을 위한 가진력 평형화 설계)

  • Jeong, Tae-Seok;Cho, Gyu-Won;Kim, Gyu-Tak
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.62 no.11
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    • pp.1535-1540
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    • 2013
  • In this paper, the Radial Magnetic Force(RMF) and cogging torque which cause vibration and noise in IPM type BLDC motor were analyzed. The cogging torque and RMF cause electromagnetic vibration. So, a notch was installed for the equilibrium of RMF and cogging torque reduction. The notch was analyzed by using a Fourier Series for the energy distribution of the air-gap. The equilibrium of RMF and the reduction of cogging torque were performed by a Design Of Experiment(DOE) with the notch. Also, operating characteristics and efficiency were analyzed and compared.

The Equilibrium Design of Radial Magnetic Force for Reduction of Vibration in IPM type BLDC Motor

  • Lee, Gyeong-Deuk;Kim, Gyu-Tak
    • Journal of Electrical Engineering and Technology
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    • v.11 no.2
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    • pp.377-382
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    • 2016
  • In this paper, influence of vibration on cogging torque and Radial Magnetic Force(RMF) imbalance was investigated in the IPM type BLDC motor. Design of cogging torque reduction and the RMF equilibrium was proceed applied to Design of Experiment(DOE). Vibration test results, the RMF imbalance was confirmed that a significant impact of vibration.

Trim Range and Characteristics of Autorotation(II): Advance Ratio Variation and Flapping Characteristics (자동회전의 트림 범위와 특성(II): 전진비 변화와 플래핑 특성)

  • Kim, Hak-Yoon;Choi, Seong-Wook
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.39 no.6
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    • pp.498-504
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    • 2011
  • The flapping characteristics and advance ratios at torque equilibrium state of autorotation were investigated when the airspeed, shaft angle, and pitch angle were varied. To simulate the airspeed increase, the aerodynamic data analyzed by using the compressible Navier-Stokes solver and Pitt/Peters inflow theory were used. Transient Simulation Method(TSM) was used to catch the torque equilibrium states. The maximum flapping angles at torque equilibrium state were correlated to the airspeed, shaft angle, and pitch angle. By comparing flapping behavior to the variation of advance ratio, the phenomenon that the extension of reverse flow area of retreating blade affects the characteristics of autorotation was qualitatively considered.

An Analysis on Volumetric Displacement of Gerotor Hydraulic Motor using Energy Conservation and Torque Equilibrium - Second Report: The Case of a Revolving and Rotating Inner Rotor - (에너지보존과 토크평형을 이용한 제로터 유압모터의 배제용적 해석 - 내부로터 공·자전 경우 -)

  • Kim, S.D.;Kim, D.M.;Ham, Y.B.
    • Journal of Drive and Control
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    • v.11 no.4
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    • pp.15-24
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    • 2014
  • It is difficult to analytically derive a volumetric displacement formula for a gerotor hydraulic motor due to the complexity of the geometric shape of its gear lobes. This work proposes an analytical method for the volumetric displacement, a relatively easy method based upon two physical concepts: conservation between hydraulic energy and mechanical shaft energy, and torque equilibrium for the rotor's motion. The first research using these concepts was conducted on inner and outer rotors rotating with respect to each rotor axis. This work represents the second report conducted on an inner rotor revolving as a planetary motion on the stationary outer rotor. The formula equations regarding the volumetric displacement and flow rate are derived, and the proposed formula about the volumetric displacement is proven to be the same as another analytical displacement formula: the so-called vane length method. From the formula, volumetric displacement is calculated for an example geometry of the gear lobes. The resultant displacement is confirmed to be the same as the value calculated from the chamber volume method. The proposed analytical formula can be utilized in the analysis and design of gerotor hydraulic motors. Because it is based on torque equilibrium, this formula can provide a better understanding of torque performance, such as torque ripple, in designing a gerotor type motor.

The Design of Radial Magnetic Force Equilibrium for Reduction of Vibration in IPM Type BLDC Motor (진동 저감을 위한 IPM type BLDC 전동기의 가진력 평형화 설계)

  • Lee, Gyeong-Deuk;Lee, Won-Sik;Kim, Gyu-Tak
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.65 no.2
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    • pp.298-303
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    • 2016
  • In this paper, the vibration source of IPM type BLDC motor was analyzed by finite element method. The main causes of the electrical vibration were RMF(Radial magnetic force) and cogging torque. It was designed model of minimized cogging torque and RMF equilibrium. Design models were selected the optimum model using the design of experiment method. And, the vibration experiment was carried out through prototype machine of each model. Finally, the experimental results were compared with the analysis ones.

Optimal Posture Control for Unmanned Bicycle (무인자전거 최적자세제어)

  • Yang, Ji-Hyuk;Lee, Sang-Yong;Kim, Seuk-Yun;Lee, Young-Sam;Kwon, Oh-Kyu
    • Journal of Institute of Control, Robotics and Systems
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    • v.17 no.10
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    • pp.1006-1013
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    • 2011
  • In this paper, we propose an optimal posture control law for an unmanned bicycle by deriving linear bicycle model from fully nonlinear differential equations. We calculate each equilibrium point of a bicycle under any given turning radius and angular speed of rear wheel. There is only one equilibrium point when a bicycle goes straight, while there are a lot of equilibrium points in case of turning. We present an optimal equilibrium point which makes the leaning input minimum when a bicycle is turning. As human riders give rolling torque by moving center of gravity of a body, many previous studies use a movable mass to move center of gravity like humans do. Instead we propose a propeller as a new leaning input which generates rolling torque. The propeller thrust input makes bicycle model simpler and removes input magnitude constraint unlike a movable mass. The proposed controller can hold optimal equilibrium points using both steering input and leaning input. The simulation results on linear control for circular motion are demonstrated to show the validity of the proposed approach.

An Analysis on Volumetric Displacement of Hydraulic Gerotor Pump/Motor using Energy and Torque Equilibrium - First Report: Case of Rotation of Inner and outer Rotors - (에너지보존과 토크평형을 이용한 제로터 유압 펌프/모터의 배제용적 해석 - 내·외부로터 회전 경우 -)

  • Kim, S.D.;Kim, D.M.;Ham, Y.B.
    • Journal of Drive and Control
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    • v.10 no.2
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    • pp.13-22
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    • 2013
  • It is difficult to analytically derive a volumetric displacement formula of gerotor hydraulic pump/motor because geometric shape of rotors is complicated. An analytical method about the volumetric displacement is proposed in this work, which is relatively easy and based upon two physical concepts. The first one is energy conservation between hydraulic energy of the pump/motor and mechanical input/output energy. The second concept is torque equilibrium with respect to inner and outer rotors. The formula about the volumetric displacement is derived for the common case of inner and outer rotors rotate with respect to fixed axes. The formula is verified by comparing another analytical displacement formula, and it is numerically verified by comparing numerical results, which is calculated for geometric specification of a motor. The numerical displacement is calculated through CAD software program and MATLAB program. The proposed analytical formula can be utilized in analysis and design of hydraulic gerotor motors.

Human Arm Posture Control Using the Impedance Controllability of the Musculo-Skeletal System Against the Alteration of the Environments

  • Kim, Jaehyo;Makoto Sato;Yasuharu Koike
    • Transactions on Control, Automation and Systems Engineering
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    • v.4 no.1
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    • pp.43-48
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    • 2002
  • We show that humans execute the postural control ingeniously by regulating the impedance properties of the musculo-skeletal system as the motor command against the alteration of the environment. Adjusting muscle activity can control the impedance properties of the musculo-skeletal system. To quantify the changes in human arm viscoelasticity on the vertical plane during interaction with the environment, we asked our subject to hold an object. By utilizing surface electromyographic(EMG) studies, we determined a relationship between the perturbation and a time-varying muscle co-activation. Our study showed when the subject lifts the object by himself the muscle stiffness increases while the torque remains the same just before the lift-off. These results suggest that the central nervous system(CNS) simultaneously controls not only the equilibrium point(EP) and the torque, but also the muscle stiffness as themotor command in posture control during the contact task.