Complex dynamics in a permanent-magnet synchronous motor model☆

Jing, Zhujun; Chang, Yu Chung; Chen, Guanrong

doi:10.1016/j.chaos.2004.02.054

Cited by 124 publications

(75 citation statements)

References 13 publications

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“…However, investigations show that PMSM displays chaotic behavior when motor parameters lie in a certain range [3,4]. Chaos in PMSM, which decreases the system performance, is highly undesirable in most engineering applications.…”

Section: Introductionmentioning

confidence: 99%

“…A permanent magnet synchronous motor (PMSM) plays an important role in industrial applications due to its simple structure, high power density, low maintenance cost, and high efficiency [1][2][3][4]. However, investigations show that PMSM displays chaotic behavior when motor parameters lie in a certain range [3,4].…”

Section: Introductionmentioning

confidence: 99%

“…The main disadvantage of the SMC strategy is the chattering phenomenon. SMC has been applied in many control fields which include robot control [30], motor control [5,22], flight control [23], control of power systems [9,30,32,33], and chemical process control [4].…”

Section: Introductionmentioning

confidence: 99%

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Finite-time integral sliding mode control for chaotic permanent magnet synchronous motor systems

Chibani

Daaou

Gouichiche

et al. 2017

Archives of Electrical Engineering

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Abstract:In this paper, an integral finite-time sliding mode control scheme is presented for controlling a chaotic permanent magnet synchronous motor (PMSM). The controller can stabilize the system output tracking error to zero in a finite time. Using Lyapunov's stability theory, the stability of the proposed scheme is verified. Numerical simulation results are presented to present the effectiveness of the proposed approach.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Finite-time integral sliding mode control for chaotic permanent magnet synchronous motor systems

Chibani

Daaou

Gouichiche

et al. 2017

Archives of Electrical Engineering

View full text Add to dashboard Cite

show abstract

“…Moreover, uncertainties and other factors such as noise, temperature, saturation, etc., affect the performance of these controllers for wide range of speed operations [5]. Also, some investigations showed that when systemic parameters falling into a certain area, the PMSM is experiencing chaotic behavior [6][7][8][9]. Intermittent ripples of torque and low-frequency oscillations of rotational speed is the backwash of chaos phenomena in PMSM which can extremely destroy the stabilization of the motor, even induce drive system collapse.…”

Section: Introductionmentioning

confidence: 99%

Application of Vector Control to Permanent Magnet Synchronous Motors Using Chaos Control

Hezare

Ataei

Jafarboland

2014

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Abstract. This paper presents the idea of vector control for permanent magnet synchronous motor (PMSM) based on chaos theorem, using chaos controller. PMSM will demonstrate chaotic phenomena when its parameters fall into a certain area. To achieve this aim, the sub-system of controller has been designed by considering block diagram structure of vector control for PMSM and by applying the setting of Lyapunov exponents method. Also, asymptotical stability of closed loop system with given controller is shown, using the direct Lyapunov method. The performance of designed controller in chaotic mode is compared with conventional vector control methods. Also, the normal mode for PMSM is considered and the performance of controller is compared. Simulation results indicate that not only does this controller eliminate the chaos in chaotic mode and have good performance but also is able to control the system in normal mode by using almost the smaller control signal effort.

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“…Many researchers, such as Borghans and Marhl etc. established some mathematical models [2][3][4][5][6] to explain the mechanism of Ca2+ oscillations from experimental point of view, the other researchers made some theoretic analysis and researches about the appearance and disappearance of calcium oscillations based on numerical simulation [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Complex Dynamics of a Calcium Oscillation Model in Non-excitable Cells

Fang¹,

Hu²

2016

Proceedings of the 2nd International Conference on Electronics, Network and Computer Engineering (ICENCE 2016)

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Abstract. In order to explain the mechanism of the calcium oscillations induced by the calcium-induced calcium release in non-excitable cells, the Kummer-Olsen calcium oscillation model was proposed. In this paper, by using the qualitative theory, bifurcation theorem and the center manifold theory, the nonlinear dynamics of this model is first characterized, including the stability and classification of the equilibrium points with parameter value. It is shown that supercritical Hopf bifurcations play very important roles in calcium oscillations. Furthermore, some new numerical simulations have confirmed the theoretical analysis results. Based on the existing numerical results with the theoretical analysis, complex dynamics of the Kummer-Olsen calcium oscillation model has been described perfectly.

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Complex dynamics in a permanent-magnet synchronous motor model☆

Cited by 124 publications

References 13 publications

Finite-time integral sliding mode control for chaotic permanent magnet synchronous motor systems

Finite-time integral sliding mode control for chaotic permanent magnet synchronous motor systems

Application of Vector Control to Permanent Magnet Synchronous Motors Using Chaos Control

Complex Dynamics of a Calcium Oscillation Model in Non-excitable Cells

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