Harmonic Vibration Control Synchronization Analysis of Nonlinear System Based on Flux Linkage Estimate

Abstract:

Aimed to the nonlinear harmonic vibration synchronization system which driven by two exciting sources that, the dynamic model of the nonlinear vibration system has been established. According to the electromagnetic driving characteristics of the asynchronous motor that used to be exciting source, and based on the analysis result of the dynamic model, the two exciting sources flux linkage equations and output torque equations have been established in the paper. And the current control regulation model and flux linkage estimate model of the two exciting sources have been derived also. By numerical simulation experiment, the validity of the harmonic vibration control synchronization strategy for the two exciting sources based on the flux linkage estimation has been verified, which can used to provide the basis and protection for the application of the nonlinear harmonic vibration synchronization system that driven by two exciting sources.

• Periodical: Applied Mechanics and Materials (Volume 329)
• Pages: 443-447
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.329.443
• Online since: June 2013
• Authors: Xiao Hao Li, Ying Huang, Ming Xu Ma
• Keywords: Control Synchronization, Flux Linkage Estimate, Nonlinear System

References

[1] Wang S.G., Guan B.Q., Wang G.B. (2007) Measurement of sinusoidal vibration from motion blurred images, Patter Recognit. Lett., 28: 1029-1040

DOI: 10.1016/j.patrec.2006.12.019

[2] Wen B.C., Li Y.N., Zhang Y.M. (2005) Project of Vibration Utilization, Science Press, Beijing

[3] Ghayesh M.H., Kazemirad S., Reid T. (2012) Nonlinear vibrations and stability of parametrically exited systems with cubic nonlinearities and internal boundary conditions: A general solution procedure, Appl. Math. Modell., 36: 3299-3311

DOI: 10.1016/j.apm.2011.09.084

[4] Li X.H., Liu J. (2011) Analysis of the frequency catching sharp resonance synchronization theory of nonlinear vibration machine, Adv. Sci. Lett., 4: 1842-1846

DOI: 10.1166/asl.2011.1427

[5] Zhang G.C., Hu D., Chen L.Q., Yang S.P. (2012) Galerkin method for steady-state response of nonlinear forced vibration of axially moving beams at supercritical speeds, J. Sound Vib., 331: 1612-1623

DOI: 10.1016/j.jsv.2011.12.004

[6] Wen B. C., Zhao C. Y., Song Z. W. (1999) The application and development of synchronization theory in mechanical System, J. Eng. Des., 3: 1-5

[7] Li X.H., Liu J., Liu, J. T. (2010) Variable structure synchronization control for the single-mass nonlinear sharp resonance vibration machine, Trans. Chin. Soc. Agric. Mach., 41: 204-208

[8] Chen B. S. (2006) The Achievement and Development of Speed Sensorless Control of Induction Motor, Electr. Eng., 8: 1-3

[9] Li,X. H. Liu J., Liu J. T.(2010) Analysis of harmonic oscillation synchronization for the single-mass nonlinear system under harmonic wave sharp resonance condition, J. Mech. Eng., 46: 86-91

DOI: 10.3901/jme.2010.01.086