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Power Electronics

Nonlinear Fractional Order Model Identification of the Voltage Source Inverter Fed Induction Motor

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References

  • B. K. Bose. Power Electronics and Motor Drives: Advances and Trends. Cambridge: Academic Press, 2006.
  • D. J. T. Siyambalapitiya, et al., “Reliability improvement and economic benefits of on-line monitoring system for large induction machines,” IEEE Trans. Indust. Appl., Vol. 26, pp. 1018–25, 1990. DOI:10.1109/28.62371.
  • P. J. Torvik, and R. L. Bagley, “On the appearance of the fractional derivative in the behavior of real materials,” J. Appl. Mech., Vol. 51, pp. 294–8, 1984. DOI:10.1115/1.3167615.
  • T. Abuaisha, and J. Kertzscher, “Fractional-order modelling and parameter identification of electrical coils,” Fract. Calc. Appl. Anal, Vol. 22, pp. 193–216, 2019. DOI:10.1515/fca-2019-0013.
  • D. Shantanu. A New Theory of Capacitor, Lecture notes at Dept. of Power Electronics IIT-Bombay.
  • R. Pile, E. devillers, and J. Le. Besnerais, “Comparison of main magnetic force computation methods for noise and vibration assessment in electrical machines,” IEEE Trans. Magn., Vol. 54, pp. 1–13, 2018. DOI:10.1109/TMAG.2018.2828388.
  • L. Haifeng, Q. Wenlong, and H. Bin, “Nonlinear modeling and simulation of induction machine,” IEEE Reg. 10 Conf. TENCON 2004, Vol. 3, pp. 504–7, 2004.
  • P. C. Krause, O. Wasynczuk, and S. D. Sudhoff. Analysis of Electric Machinery and Drive Systems. NJ: Wiley-IEEE Press, 2002.
  • R. Krishnan. Electric Motor Drives. Philadelphia, PA: Prentice Hall, 2001.
  • J. M. Guerrero, M. Leetmaa, F. Briz, A. Zamarron, and R. D. Lorenz, “Inverter nonlinearity effects in high-frequency signal-injection-based sensorless control methods,” IEEE Trans. Ind. Appl., Vol. 41, pp. 618–26, 2005. DOI:10.1109/TIA.2005.844411.
  • J. Rodríguez, R. Heydari, Z. Rafiee, H. A. Young, F. Flores-Bahamonde, and M. Shahparasti, “Model-free predictive current control of a voltage source inverter,” IEEE. Access., Vol. 8, pp. 211104–14, 2020. DOI:10.1109/ACCESS.2020.3039050.
  • S. G. Samko, A. A. Kilbas, and O. I. Marichev. Fractional Integrals and Derivatives: Theory and Applications. USA: Gordon and Breach Science Publishers, 1993.
  • I. Podlubny, “Fractional-order systems and PIλDμ controller,” IEEE Trans. Autom. Control, Vol. 44, pp. 208–14, 1999. DOI:10.1109/9.739144.
  • K. Rajagopal, A. Karthikeyan, and P. Duraisamy, “Chaos suppression in fractional order permanent magnet synchronous generator in wind turbine systems,” Nonlinear Eng., Vol. 6, pp. 79–87, 2017. DOI:10.1515/nleng-2016-0059.
  • J. Xu, X. Li, H. Liu, and X. Meng, “Fractional-order modeling and analysis of a three-phase voltage source PWM rectifier,” IEEE. Access., Vol. 8, pp. 13507–15, 2020. DOI:10.1109/ACCESS.2020.2965317.
  • M. Sharma, B. S. Rajpurohit, S. Agnihotri, and A. K. Rathore, “Development of fractional order modeling of voltage source converters,” IEEE. Access., Vol. 8, pp. 131750–9, 2020. DOI:10.1109/ACCESS.2020.3010068.
  • R. Trivedi, and P. K. Padhy, “Design of indirect fractional order IMC controller for fractional order processes,” IEEE Trans. Circuits Syst. Express Briefs, Vol. 68, pp. 968–72, 2021. DOI:10.1109/TCSII.2020.3013404.
  • J. D. Gabano, and T. Poinot, “Fractional modelling and identification of thermal systems,” Signal. Processing., Vol. 91, pp. 531–41, 2011. DOI:10.1016/j.sigpro.2010.02.005.
  • S. Fang, and X. Wang, “Modeling and analysis method of fractional-order buck-boost converter,” Int. J. Circ. Theor. Appl, Vol. 48, no. 9, pp. 1–18, 2020.
  • W. Yu, Y. Luo, and Y. G. Pi, “Fractional order modeling and control for permanent magnet synchronous motor velocity servo system,” Mechatronics. (Oxf), Vol. 23, pp. 813–20, 2013. DOI:10.1016/j.mechatronics.2013.03.012.
  • W. Zheng, Y. Luo, Y. Chen, and Y. Pi, “Fractional-order modeling of permanent magnet synchronous motor speed servo system,” J. Vib. Control., Vol. 22, pp. 2255–2280, 2016. DOI:10.1177/1077546315586504.
  • G. Besançon, G. Becq, and A. Voda, “Fractional-order modeling and identification for a phantom EEG system,” IEEE Trans. Control Syst. Technol., Vol. 28, pp. 130–8, 2020. DOI:10.1109/TCST.2019.2891621.
  • L. A. Jacyntho, et al., “Identification of fractional-order transfer functions using a step excitation,” IEEE Trans. Circuits Syst. Express Briefs, Vol. 62, pp. 896–900, 2015. DOI:10.1109/TCSII.2015.2436052.
  • S Adigintla, and M V Aware, “Design and analysis of a speed controller for fractional-order-modeled voltage-source inverterfed induction motor drive,” Int. J. Circuit Theory Appl., Vol. 50, pp. 2378–2397, 2022. DOI:10.1002/cta.3290.
  • S. Adigintla, and M. V. Aware, “Improved constant phase fractional order approximation method for induction motor FOPI speed controller,” Int. J. Circuit Theory Appl., 2022. DOI:10.1002/cta.3472.
  • L. Ljung. System Identification: Theory for the User. New Jersey: Prentice-Hall, 1987.
  • B. Vinagre, I. Podlubny, A. Hernãindez, and V. Feliu, “Some approximations of fractional order operators used in control theory,” Fractional Calculus Appl. Anal, Vol. 3, pp. 231–48, 2010.
  • A. Djouambi, A. Voda, and A. Charef, “Recursive prediction error identification of fractional order models,” Commun. Nonlinear Sci. Numer. Simul, Vol. 17, no. 6, pp. 2517–24, 2012. DOI:10.1016/j.cnsns.2011.08.015.
  • A. Tepljakov, E. Petlenkov, and J. Belikov, “FOMCON: A MATLAB toolbox for fractional-order system identification and control,” Int. J. Microelectron. Comput. Sci, Vol. 2, pp. 51–62, 2011.
  • A. Tepljakov, et al. “FOMCON toolbox [Online],” Available: http://www.fomcon.net/, 2011.
  • A. Oustaloup, F. Levron, B. Mathieu, and F. M. Nanot, “Frequency-band complex noninteger differentiator: characterization and synthesis,” IEEE Trans. Circuits Sys I:Fundam. Theory Appl., Vol. 47, pp. 25–40, 2000. DOI:10.1109/81.817385.

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