Dither signal effects on quenching chaos of a permanent magnet synchronous motor in electric vehicles

Chang, Sen; Lin, Bao Chau; Lue, Yeou Feng

doi:10.1177/1077546310395978

Cited by 24 publications

(13 citation statements)

References 19 publications

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“…Tung and Chen [29] presented an approach for identifying a closed-loop DC motor system with unknown parameters and nonlinearities; in addition, they investigated why dither signals eliminate possible limit cycles in the system. Furthermore, Chang et al [30], used dither signals to suppress a chaotic permanent magnet in the synchronous motor of an electric vehicle.…”

Section: Estimation Of the Largest Lyapunov Exponent And Results Of Tmentioning

confidence: 99%

See 1 more Smart Citation

Nonlinear Dynamics and Control in an Automotive Brake System

Chang¹,

Hu²

2016

Adv Automob Eng

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Brake squeal is a manifestation of friction-induced self-excited instability in disc brake systems. This study investigated non-smooth bifurcations and chaotic dynamics in disc brake systems and elucidated a chaotic control system. Decreasing squeal noise which is dependent on chaos, increases passengers comfort; consequently, suppressing chaos is crucial. First, synchronization was used to estimate the largest Lyapunov exponent to identify periodic and chaotic motions. Next, complex nonlinear behaviors were thoroughly observed for a range of parameter values in the bifurcation diagram. Rich dynamics of the disc brake system were studied using a bifurcation diagram, phase portraits, a Poincaré map, frequency spectra, and Lyapunov exponents. Finally, the proposed technique was applied to a chaotic disc brake system through the addition of an external input that is a dither signal. Simulation results demonstrated the feasibility of the proposed approach.

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Section: Estimation Of the Largest Lyapunov Exponent And Results Of Tmentioning

confidence: 99%

“…Because dither is an external signal and does not require measurements, its main advantage is simplicity. Dither has also been successfully applied in actual nonlinear systems [27][28][29][30]. For example, Fuh and Tung [27] used dither signals to convert chaotic motion to a periodic orbit in circuit systems.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamics and Control in an Automotive Brake System

Chang¹,

Hu²

2016

Adv Automob Eng

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“…16 As PMSMs have advantages of high energy density, wide speed range, large torque moment of inertia and good efficiency, they are one of the most widely used motor types in electric vehicles. 24 Accurate PMSM model is a necessary prerequisite to analyse the vibration characteristic of the motor mount system. However, the commonly used linear model of PMSM is established with ignoring magnetic saturation and assuming that the magnetic field produced by the permanent magnet is sinusoidally distributed in the air gap.…”

Section: Torque Ripple Model Linear Model Of Pmsmmentioning

confidence: 99%

Multi-objective robust optimization design for powertrain mount system of electric vehicles

Xin

Qian

et al. 2017

Journal of Low Frequency Noise, Vibration and Active Control

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A multi-objective robust optimization scheme for the powertrain mount system of an electric vehicle is proposed in this paper. A permanent magnet synchronous motor model is established by taking account of the effects of magnetic saturation and space harmonics, in which the d-q-axis inductance and the flux linkage excited by permanent magnet were obtained by finite element method. The rippled output torque of the permanent magnet synchronous motor mixed with harmonic components is obtained with the New European Driving Cycle as the running condition of the electric vehicle. A six degree-of-freedoms (DOFs) powertrain mount system is established and the response of the system is obtained with the rippled torque as the excitation input. A multi-objective optimization model of the powertrain mount system is built with the stiffness's of the mounts as the design variables, and with the goal of maximizing the decoupling rates and minimizing the dynamic reaction forces of the mounts acting on the car body. Genetic algorithm is used to conduct the global optimization and all the Pareto optimal solutions are found out based on the optimization theory, and the solution with the optimal robustness of dynamic reaction force is obtained by Latin hypercube sampling method. The results show that with the proposed multi-objective robust optimization scheme applied for the parameters optimization of the motor mount system, the decoupling rates increase obviously, the dynamic reaction force decreases apparently, and the optimization result shows good robustness. The optimization results can make the powertrain mount system of electric vehicles processing of optimal dynamic response characteristics correspondingly.

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“…The transfer function of PMSM drives system with feedforward complete decoupling is developed based on the small-signal model in [13], and the stable operation range of system and PI parameter of flux weakening control are analyzed by Routh stability criterion. In [14,15], the unstable dynamic behaviors of PMSM, used in EV, without external inputs or load are observed over the entire range of singleparameter values in the bifurcation diagram. The chaotic motions (unstable) of the PMSM during the EV startingrunning process with and without large amplitude oscillation load are discussed in [16], respectively.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Dynamics and Stability of Permanent‐Magnet Synchronous Motor

Ren

Han

2017

Mathematical Problems in Engineering

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The aim of this article is to explore the dynamic characteristics and stability of the permanent-magnet synchronous motor (PMSM). PMSM equilibrium local stability condition and Hopf bifurcation condition, pitchfork bifurcation condition, and fold bifurcation condition have been derived by using the Routh-Hurwitz criterion and the bifurcation theory, respectively. Bifurcation curves of the equilibrium with single and double parameters are obtained by continuation method. Numerical simulations not only confirm the theoretical analysis results but also show one kind of codimension-two-bifurcation points of the equilibrium. PMSM, with or without external load, can exhibit rich dynamic behaviors in different parameters regions. It is shown that if unstable equilibrium appears in the parameters regions, the PMSM may not be able to work stably. To ensure the PMSMs work stably, the inherent parameters should be designed in the region which has only one stable equilibrium.

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Dither signal effects on quenching chaos of a permanent magnet synchronous motor in electric vehicles

Cited by 24 publications

References 19 publications

Nonlinear Dynamics and Control in an Automotive Brake System

Nonlinear Dynamics and Control in an Automotive Brake System

Multi-objective robust optimization design for powertrain mount system of electric vehicles

Dynamics and Stability of Permanent‐Magnet Synchronous Motor

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