Bifurcation and chaos analysis of a nonlinear electromechanical coupling relative rotation system

Liu, Shuang; Zhao, Shuangshuang; Sun, Baoping; Zhang, Wenming

doi:10.1088/1674-1056/23/9/094501

Cited by 10 publications

(5 citation statements)

References 29 publications

(29 reference statements)

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“…The projection of equation 2on the plane i d -v 2 can be written as equation (16) in Appendix 1. When the right-hand side of the equations are ordered to be zero, solutions could be obtained that…”

Section: The Motion Pattern Partition On the Projection Plane I D -Amentioning

confidence: 99%

“…In recent years, based on the theoretical analysis of the electromechanical coupling system, a lot of research achievements about bifurcation and chaos of an electromechanical coupling system have been reported. Liu et al 16 deduced the dynamic equation of a nonlinear electromechanical coupling relative rotation system using the dissipation Lagrange equation. The necessary and sufficient conditions of Hopf bifurcation are given by choosing the electromagnetic stiffness as a bifurcation parameter.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of torsional stability and the dynamical characteristics of electromechanical systems

Chen

Peng

2017

Advances in Mechanical Engineering

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Electromechanical couplings have been reported to play a crucial role in determining important behavior of nonlinear systems. In this study, we analyzed the nonlinear dynamic characteristics of the electromechanical coupling system. First, considering the electromechanical coupling effect of the system, differential equation of the system was obtained by combining the Park equation of a permanent-magnet synchronous motor with the rotor dynamics equation. Then, the coordinate plane projection method was used to analyze the chaotic phenomenon of the electromechanical coupling system. Through calculating the weight value of the 10 projection planes of the electromechanical coupling system, four projection planes with smaller weight values were chosen. Finally, the analysis of the four projection planes of the system indicated that the whole system could reach to the stable state by only controlling the rotational speed in the steady state. In this perspective, the 5-degree-of-freedom system reduced to 2-degree-of-freedom system. Our results would help us create an electromechanical coupling system with a control strategy.

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Section: The Motion Pattern Partition On the Projection Plane I D -Amentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analysis of torsional stability and the dynamical characteristics of electromechanical systems

Chen

Peng

2017

Advances in Mechanical Engineering

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“…Rotating machinery systems contain various nonlinear factors, which lead to complex dynamic behaviors such as Hopf bifurcation and chaos of the system (see [11][12][13]).…”

Section: Introductionmentioning

confidence: 99%

Bifurcation Analysis of a Fractional-Order Delayed Rolling Mill’s Main Drive Electromechanical Coupling System

Zhang

Wang

2021

Advances in Mathematical Physics

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This work is focused on a rolling mill’s main drive electromechanical coupling system. Firstly, we equip electromechanical coupling system with fractional-order time delay. Secondly, we, respectively, derive the conditions for occurrence of Hopf bifurcation around equilibriums E 0 0 , 0 , 0 , 0 and E 1 x 1 ∗ , 0 , x 3 ∗ , 0 . It is found that the fractional order α and time delay τ in the system play an important role on the system stability. Finally, numerical simulations are given to verify the analytic results.

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“…The mechanism of vibration evolution of the drive system with changes in parameters, such as the force ratio and time-varying mesh stiffness, was revealed. Liu [13], [14] derived a mathematical model of a super-high-speed relative rotation system taking into consideration the magnetic field energy of an AC motor. The effect of the electromagnetic stiffness on the bifurcation characteristics was studied, and the corresponding conditions of Hopf bifurcation were given.…”

Section: Introductionmentioning

confidence: 99%

Research on the Damping Effect Mechanism and Optimization of Super-High-Speed Electric Air Compressors for Fuel Cell Vehicles Under the Stiffness Softening Effect

Wang

et al. 2020

IEEE Access

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As a typical electromechanically coupled system, the super-high-speed permanent magnet synchronous motor (PMSM)-driven compressor always exhibits complex dynamic behavior, affecting the comprehensive performance of the fuel cell system. Based on this, this paper takes electromagnetic and load excitations into account and establishes a mathematical model of the super-high-speed PMSMdriven compressor. Then, the corresponding simulation is carried out, revealing that according to different causes and manifestations, the system gradually exhibits amplitude instability and frequency instability. Considering the stiffness softening effect, the effect of the torsional stiffness and damping coefficient on the dynamic characteristics under different forms of instability is obtained. Using the Routh-Hurwitz criterion and Melnikov theory, a damping optimization methodology is given. The results show that under the condition of amplitude instability, damping reduction and stiffness softening lead to a greater resonant amplitude and a wider resonance region. Under the condition of frequency instability, the system becomes chaotic via periodic-doubling bifurcation with the decrease of damping, and the decrease of torsional stiffness increases the damping required to maintain the stability. INDEX TERMS super-high-speed permanent magnet synchronous motor, fuel cell system, stiffness softening, damping optimization

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Bifurcation and chaos analysis of a nonlinear electromechanical coupling relative rotation system

Abstract: Bifurcation and chaos analysis of a nonlinear electromechanical coupling relative rotation system * Liu Shuang(刘爽) a)b) , Zhao Shuang-Shuang(赵双双) a) , Sun Bao-Ping(孙宝平) a) , and Zhang Wen-Ming(张文明) a)b) † a)

Cited by 10 publications

References 29 publications

Analysis of torsional stability and the dynamical characteristics of electromechanical systems

Analysis of torsional stability and the dynamical characteristics of electromechanical systems

Bifurcation Analysis of a Fractional-Order Delayed Rolling Mill’s Main Drive Electromechanical Coupling System

Research on the Damping Effect Mechanism and Optimization of Super-High-Speed Electric Air Compressors for Fuel Cell Vehicles Under the Stiffness Softening Effect

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Bifurcation and chaos analysis of a nonlinear electromechanical coupling relative rotation system

Abstract: Bifurcation and chaos analysis of a nonlinear electromechanical coupling relative rotation system * Liu Shuang(刘 爽) a)b) , Zhao Shuang-Shuang(赵双双) a) , Sun Bao-Ping(孙宝平) a) , and Zhang Wen-Ming(张文明) a)b) † a)

Cited by 10 publications

References 29 publications

Analysis of torsional stability and the dynamical characteristics of electromechanical systems

Analysis of torsional stability and the dynamical characteristics of electromechanical systems

Bifurcation Analysis of a Fractional-Order Delayed Rolling Mill’s Main Drive Electromechanical Coupling System

Research on the Damping Effect Mechanism and Optimization of Super-High-Speed Electric Air Compressors for Fuel Cell Vehicles Under the Stiffness Softening Effect

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Product

Resources

About

Abstract: Bifurcation and chaos analysis of a nonlinear electromechanical coupling relative rotation system * Liu Shuang(刘爽) a)b) , Zhao Shuang-Shuang(赵双双) a) , Sun Bao-Ping(孙宝平) a) , and Zhang Wen-Ming(张文明) a)b) † a)