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Karimi-Ghartemani, Masoud; Ziarani, A.K.

doi:10.1023/a:1022124027718

Cited by 71 publications

(4 citation statements)

References 8 publications

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“…In these systems, a group of ordinary differential equations (ODEs) control the development of a pair of variables. Numerous scientific fields, including physics, biology, ecology, economics, and engineering, use planar dynamical systems extensively [22][23][24]. Mathematically, a planar dynamical system can be represented as follows:…”

Section: Introductionmentioning

confidence: 99%

Analysing the Landau-Ginzburg-Higgs equation in the light of superconductivity and drift cyclotron waves: Bifurcation, chaos and solitons

Ahmad,

Lou,

Khan

et al. 2023

Phys. Scr.

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The Landau-Ginzburg-Higgs (LGH) equation is a fundamental framework for examining physical systems in the fields of condensed matter physics and field theory. This study delves into the LGH equation, particularly in the context of its relevance to superconductivity and drift cyclotron waves. Researchers have extensively investigated the LGH equation to uncover a diverse array of exact solutions, employing various methodologies. This manuscript centers on the examination of its dynamic properties, encompassing the analysis of phenomena such as bifurcations, sensitivity, chaotic behavior, and the emergence of soliton solutions. To achieve this, we employ the principles of planar dynamical theory, shedding light on the intricate behaviors embedded within the LGH equation. Furthermore, we utilize the tools and techniques provided by planar dynamical theory to derive soliton solutions for the LGH equation.

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Section: Introductionmentioning

confidence: 99%

Analysing the Landau-Ginzburg-Higgs equation in the light of superconductivity and drift cyclotron waves: Bifurcation, chaos and solitons

Ahmad,

Lou,

Khan

et al. 2023

Phys. Scr.

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“…It can be realized with an analog circuit or with the digital implementation of the loop, and it finds application mainly in the frame of signal control and synchronization of electric grids, integrated circuits, or the telecommunication field (Karimi-Ghartemani (2014a); Niezrecki and Cudney (1997)). Regarding vibration control, the most appealing feature of the PLL is the capability of tracking frequency fluctuations in a range around a design frequency (Karimi-Ghartemani and Ziarani (2003); Karimi-Ghartemani and Iravani (2002)), which is precisely the working condition of many rotating machines. In this context, applying this algorithm can be beneficial for a large number of practical applications.…”

Section: Introductionmentioning

confidence: 99%

“…Furthermore, the Enhanced Phase Locked Loop (EPLL) performs better than the PLL as the outer loop helps convergence by reducing the transient time and canceling the double-frequency ripples typical of the PLL (İnci et al (2017); Karimi-Ghartemani (2014b,a); Lopes et al (2014); Martins et al (2019)). Like the PLL, the EPLL has been developed for the estimation and control of signals in electric grids and electronic devices (Karimi-Ghartemani (2014a); Karimi-Ghartemani and Iravani (2002); Karimi-Ghartemani and Ziarani (2003)), and the application of the EPLL to the active control of vibrations is entirely novel.…”

Section: Introductionmentioning

confidence: 99%

A vibration suppression approach based on enhanced phase locked loop harmonic tracking

Bianchi

Zilletti²,

Cinquemani

et al. 2023

Journal of Vibration and Control

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This article presents a novel algorithm for vibration suppression with inertial actuators. This algorithm is designed to cancel out harmonic disturbances and finds application in rotating machines like helicopters and, more in general, in structures connected to rotors, which generate a single-harmonic disturbance with a frequency far from any natural frequency of the structure. The existing control algorithms for inertial actuators are mainly designed to cancel out vibrations arising from slightly damped structural modes, so they are not suitable for this specific application, whereas the proposed control algorithm is based on the Enhanced Phase Locked Loop (EPLL), a non-linear adaptive bandpass filter originally designed to stabilize electrical systems. In this work, the use of the EPLL is extended to the vibration control of a mechanical system as it is used to track frequency and amplitude variations of the vibration acceleration and calculate the required control force to suppress it. In this article, the algorithm is described, and the parameters of the EPLL are tuned, analyzing their influence on the actuators’ performances. Numerical simulations are performed to discuss its stability, analyze its performance, and compare this novel algorithm to other existing control strategies. Finally, the proposed control algorithm is applied to a helicopter tailplane using two identical inertial actuators. The experiments have shown that the EPLL-based control can effectively cancel out single-harmonic vibrations far from the resonance and that it is robust to amplitude and frequency variations.

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“…Various frequency estimation methods have been proposed and adapted to noncoherent and non-stationary signals. These include Phase-Locked Loop (PLL) algorithms based on the ability to generate a sinusoidal output whose amplitude and phase are equal to those of the fundamental component of the input signal [12][13][14][15]; methods based on Prony's theory, which approximates a signal by a sum of exponential functions [16,17]; Adaptive Notch Filters (ANFs), which are frequently used to eliminate narrow-band or sine wave disturbances with unknown frequencies from observed time series and to estimate the frequencies of measured sine wave signals [18,19]; variants of the Extended Kalman Filter (EKF), which works as recursive estimation method based on a linear state-space model [20,21]; and even neural network-based techniques [22][23][24]. All these algorithms have constraints to their use [25].…”

Section: Introductionmentioning

confidence: 99%

Fast 10-Point DFT Algorithm for Power System Harmonic Analysis

Papliński¹,

Cariow²

2021

Applied Sciences

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This article presents an efficient algorithm for computing a 10-point DFT. The proposed algorithm reduces the number of multiplications at the cost of a slight increase in the number of additions in comparison with the known algorithms. Using a 10-point DFT for harmonic power system analysis can improve accuracy and reduce errors caused by spectral leakage. This paper compares the computational complexity for an L×10M-point DFT with a 2M-point DFT.

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Cited by 71 publications

References 8 publications

Analysing the Landau-Ginzburg-Higgs equation in the light of superconductivity and drift cyclotron waves: Bifurcation, chaos and solitons

Analysing the Landau-Ginzburg-Higgs equation in the light of superconductivity and drift cyclotron waves: Bifurcation, chaos and solitons

A vibration suppression approach based on enhanced phase locked loop harmonic tracking

Fast 10-Point DFT Algorithm for Power System Harmonic Analysis

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