A Linear Integral Resonant Controller for Suppressing Jump-Phenomena in MEMS

Permanent magnet synchronous motor always suffers from air gap field distortion and inverter nonlinearity, which lead to the harmonic components in motor currents. A resonant controller is a remarkable control method to eliminate periodic disturbance, whereas the conventional resonant controller is limited by narrow bandwidth and phase lag. This article presents a novel resonant controller with a precise phase compensation method for a permanent magnet synchronous motor to suppress the current harmonics. Based on the analysis of the current harmonic characteristics, the proposed resonant controller for rejecting a set of selected current harmonic components is plugged in the current loop, and it is parallel to the traditional proportional–integral controller. Furthermore, the stability analysis of the proposed resonant controller is investigated, and the parameters are tuned to get a satisfactory performance. Compared with the conventional resonant controller, the proposed resonant controller can achieve good steady-state performance, dynamic performance, and frequency adaptivity performance, simultaneously. Finally, the experimental results demonstrate the effectiveness of the proposed suppression scheme.

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Threshold Dynamics in a Model for Zika Virus Disease with Seasonality

Bulletin of Mathematical Biology ◽

10.1007/s11538-020-00844-6 ◽

2021 ◽

Vol 83 (4) ◽

Cited By ~ 1

Author(s):

Mahmoud A. Ibrahim ◽

Attila Dénes

Keyword(s):

Zika Virus ◽

Reproduction Number ◽

Virus Disease ◽

Threshold Dynamics ◽

Global Dynamics ◽

Threshold Parameter ◽

Globally Asymptotically Stable ◽

Linear Integral ◽

The Impact ◽

Disease Free

AbstractWe present a compartmental population model for the spread of Zika virus disease including sexual and vectorial transmission as well as asymptomatic carriers. We apply a non-autonomous model with time-dependent mosquito birth, death and biting rates to integrate the impact of the periodicity of weather on the spread of Zika. We define the basic reproduction number $${\mathscr {R}}_{0}$$ R 0 as the spectral radius of a linear integral operator and show that the global dynamics is determined by this threshold parameter: If $${\mathscr {R}}_0 < 1,$$ R 0 < 1 , then the disease-free periodic solution is globally asymptotically stable, while if $${\mathscr {R}}_0 > 1,$$ R 0 > 1 , then the disease persists. We show numerical examples to study what kind of parameter changes might lead to a periodic recurrence of Zika.

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Torque Ripple Suppression of PMSM Based on Robust Two Degrees-of-Freedom Resonant Controller

Energies ◽

10.3390/en14041015 ◽

2021 ◽

Vol 14 (4) ◽

pp. 1015

Author(s):

Mingfei Huang ◽

Yongting Deng ◽

Hongwen Li ◽

Jing Liu ◽

Meng Shao ◽

...

Keyword(s):

Control Strategy ◽

Measurement Errors ◽

Degrees Of Freedom ◽

Control Method ◽

Torque Ripple ◽

Current Loop ◽

Two Degrees Of Freedom ◽

Robust Stability Analysis ◽

Resonant Controller ◽

Testing Environments

This paper concentrates on a robust resonant control strategy of a permanent magnet synchronous motor (PMSM) for electric drivers with model uncertainties and external disturbances to improve the control performance of the current loop. Firstly, to reduce the torque ripple of PMSM, the resonant controller with fractional order (FO) calculus is introduced. Then, a robust two degrees-of-freedom (Robust-TDOF) control strategy was designed based on the modified resonant controller. Finally, by combining the two control methods, this study proposes an enhanced Robust-TDOF regulation method, named as the robust two degrees-of-freedom resonant controller (Robust-TDOFR), to guarantee the robustness of model uncertainty and to further improve the performance with minimized periodic torque ripples. Meanwhile, a tuning method was constructed followed by stability and robust stability analysis. Furthermore, the proposed Robust-TDOFR control method was applied in the current loop of a PMSM to suppress the periodic current harmonics caused by non-ideal factors of inverter and current measurement errors. Finally, simulations and experiments were performed to validate our control strategy. The simulation and experimental results showed that the THDs (total harmonic distortion) of phase current decreased to a level of 0.69% and 5.79% in the two testing environments.

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Analysis, Design, and Implementation of a Quasi-Proportional-Resonant Controller for a Multifunctional Capacitive-Coupling Grid-Connected Inverter

IEEE Transactions on Industry Applications ◽

10.1109/tia.2016.2581152 ◽

2016 ◽

Vol 52 (5) ◽

pp. 4269-4280 ◽

Cited By ~ 62

Author(s):

Tao Ye ◽

NingYi Dai ◽

Chi-Seng Lam ◽

Man-Chung Wong ◽

Josep M. Guerrero

Keyword(s):

Capacitive Coupling ◽

Design And Implementation ◽

Resonant Controller ◽

Analysis Design ◽

Grid Connected Inverter

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Time-Delayed Nonlinear Integral Resonant Controller to Eliminate The nonlinear Oscillations of a Parametrically Excited System

IEEE Access ◽

10.1109/access.2021.3081397 ◽

2021 ◽

pp. 1-1

Author(s):

N. A. Saeed ◽

Galal M. Moatimid ◽

Fawzy M. Elsabaa ◽

Yomna. Y. Ellabban ◽

S. K. Elagan ◽

...

Keyword(s):

Nonlinear Oscillations ◽

Parametrically Excited ◽

Excited System ◽

Resonant Controller

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Interaction of a Whirling Rotor with a Vibrating Stator across a Clearance Annulus

Journal of Mechanical Engineering Science ◽

10.1243/jmes_jour_1968_010_003_02 ◽

1968 ◽

Vol 10 (1) ◽

pp. 1-12 ◽

Cited By ~ 103

Author(s):

H. F. Black

Keyword(s):

Dry Friction ◽

Ball Bearing ◽

Radial Symmetry ◽

Experimental Results ◽

Equilibrium Conditions ◽

General Behaviour ◽

Mass Unbalance ◽

Jump Phenomena ◽

Rotor Stator Interaction ◽

Rotor Mass

Where a rotor runs within a clearance space, the clearance being comparable with rotor mass unbalance, the synchronous whirling behaviour of the rotor may be considerably affected by intermittent interaction with the stator at the clearance position. Discontinuity and jump phenomena may occur: in general, behaviour will be different with increasing speed from that with decreasing speed, and in either case zones may exist in which rotor-stator interaction is possible but not certain. In the analysis here presented, rotor and stator are regarded as linear multi-degree-of-freedom systems including damping; dry friction at the clearance space is taken into account. Discussion is limited to cases with radial symmetry, and interaction is assumed limited to the position of the clearance space. Polar receptances are used to establish equilibrium conditions with interaction, and speed zones are defined within which interaction may occur. Some hypothetical cases are fully explored, demonstrating that rotor-stator interactions may occur in a variety of forms and circumstances. Interactions with dry friction counterwhirling are also considered. Some experimental results on counterwhirl within a ball bearing are given and qualitatively compared with theory.

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