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Reseach Article

Design of Derivative-free State Estimators for a Three Phase Induction Motor ñ A Comparative Study

by J. Ravikumar, S. Subramanian, J. Prakash
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 29 - Number 2
Year of Publication: 2011
Authors: J. Ravikumar, S. Subramanian, J. Prakash
10.5120/3538-4837

J. Ravikumar, S. Subramanian, J. Prakash . Design of Derivative-free State Estimators for a Three Phase Induction Motor ñ A Comparative Study. International Journal of Computer Applications. 29, 2 ( September 2011), 15-24. DOI=10.5120/3538-4837

@article{ 10.5120/3538-4837,
author = { J. Ravikumar, S. Subramanian, J. Prakash },
title = { Design of Derivative-free State Estimators for a Three Phase Induction Motor ñ A Comparative Study },
journal = { International Journal of Computer Applications },
issue_date = { September 2011 },
volume = { 29 },
number = { 2 },
month = { September },
year = { 2011 },
issn = { 0975-8887 },
pages = { 15-24 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume29/number2/3538-4837/ },
doi = { 10.5120/3538-4837 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:14:45.759360+05:30
%A J. Ravikumar
%A S. Subramanian
%A J. Prakash
%T Design of Derivative-free State Estimators for a Three Phase Induction Motor ñ A Comparative Study
%J International Journal of Computer Applications
%@ 0975-8887
%V 29
%N 2
%P 15-24
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Particle filters are an alternative to approximate the Kalman filter for nonlinear problems. This paper intends to assess the potential of Particle Filter (PF) and its variants in the context of the state estimation problem of a three phase induction motor. The conventional Particle Filter (SIR-PF), and particle filters that employ importance sampling through proposal distributions such as Particle Filter with Extended Kalman Filter (PF-EKF) and Particle Filter with Unscented Kalman Filter (PF-UKF), which are proposed in the literature within the particle filtering framework that takes into account of the latest observational information to reduce the risk of weight degeneracy is described and the error behaviour is analyzed through Monte Carlo simulations with regard to three scenarios Viz., low speed operation, step changes in load torque and reversal of speed. Simulation results demonstrate the superior tracking performance of PF-EKF at the expense of higher computational effort over the other approaches and can be determined to be a good substitute for the UKF in terms of accuracy of the state vector estimation.

References
  1. R.E. Kalman, “A new approach to linear filtering and prediction problems,” Journal of Basic Engineering (ASME), vol. 82, pp. 34-45, 1960.
  2. M. Barut, S. Bogosyan, and M. Gokasan, “Speed - Sensorless estimation for induction motors using extended Kalman filters,” IEEE Trans. Ind. Electron., vol. 54, no. 1, pp. 272 - 280, Feb. 2007.
  3. S.Bogosyan, M.Barut, and M.Gokasan, “Braided extended Kalman filters for sensorless estimation in induction motors at high-low/zero speed,”IET Control Theory Appl., vol. 1, no. 4, pp. 987-998, 2007.
  4. M. Barut, S. Bogosyan, and M. Gokasan, “An EKF based estimator for speed sensorless vector control of induction motors,” Elec. Power Compo. Syst., vol. 33, no.7, pp. 727- 744, 2005.
  5. M. Barut, S. Bogosyan, and M. Gokasan, “Switching EKF technique for rotor and stator resistance estimation in speed sensorless control of IMs,” Energy Conversion and Management, vol. 48, pp. 3120-3134, 2007.
  6. M. Barut, “Bi- Input- extended Kalman filter based estimation technique for speed-sensorless control of induction motors,” Energy Conversion and Management, vol. 51, pp. 2032- 2040, 2010.
  7. Young-Real Kim, Seung-Ki Sul, and Min-Ho Park, “Speed sensorless vector control of induction motor using extended Kalman filter,” IEEE Trans. Ind. Appl., vol. 30, no. 5, pp. 1225-1233, Sep./Oct.1994.
  8. S.J.Julier, J.K.Uhlmann, and H.F. Durrant - Whyte, “A new method for the nonlinear transformation of means and covariances in filters and estimators,” IEEE Trans. Autom. Contr., vol. 45, no. 3, pp. 477-482, Mar. 2000.
  9. S.J.Julier, and J. K.Uhlmann,“ Unscented filtering and nonlinear estimation,” Proc. of the IEEE, vol. 92, no. 3, pp. 401-422, Mar. 2004.
  10. B.Akin, U.Orguner, A.Ersak, and M.Ehsani, “Simple Derivative-Free Nonlinear state observer for sensorless AC drives,” IEEE/ASME Trans. Mechatronics, vol. 11, no. 5, pp. 634-643, Oct. 2006.
  11. S.Kumar, J. Prakash, and P. Kanagasabapathy, “A critical evaluation and experimental verification of Extended Kalman Filter, Unscented Kalman Filter and Neural State Filter for state estimation of three phase induction motor”, Applied Soft Computing, vol.11, no. 3, pp. 3199-3208, 2011.
  12. R.Kandepu, B.Foss,and L.Imsland, “Applying the Unscented Kalman filter for nonlinear state estimation,” Journal of Process Control, vol. 18, pp.753-768, 2008.
  13. K.Xiong, H.Y.Zhang, and C.W.Chan, “Performance evaluation of UKF-based nonlinear filtering,” Automatica, vol. 42, pp. 261-270, 2006.
  14. A.Doucet, N.de freitas, and N.Gordon, Eds.,Sequential Monte Carlo methods in practice New York: Springer- Verlag, 2001.
  15. M.S.Arulampalam, S.Maskell, N.Gordon, and T.Clapp, A tutorial on Particle filters for online non-linear / non- Gaussian Bayesian Tracking,” IEEE Trans. Sig. Process., vol. 50, no. 2, pp. 174-188, 2002.
  16. F.Daum, “Nonlinear Filters: beyond the Kalman filter,” IEEE A&E systems Magazine, vol. 20, no. 8, pp. 57-69, 2005.
  17. P.J.Van Leeuwen, “A variance – minimizing filter for large scale applications” Monthly Weather Review, vol. 131, pp. 1190-1200.
  18. N.J.Gordon, D.J.Salmond, and A.F.M.Smith, “Novel approach to nonlinear/non-Gaussian Bayesian state estimation”, IEE Proc.,-F, vol. 140, no. 2, pp. 107-113, 1993.
  19. Gerasimos G.Rigatos, “Particle and Kalman filtering for state estimation and control of DC motors,” ISA Transactions, vol. 48, no.1, pp. 62-72, Jan. 2009.
  20. R.Van Der Merwe, A. Doucet, N. de Freitas, and Eric A.Wan, “ The Unscented Particle Filter,” Technical report CUED / F-INFENG / TR380, Cambridge University Engineering Department, Cambridge, United Kingdom.
  21. J. Prakash, S.C. Patwardhan, and S.L. Shah, “On the choice of importance distributions for unconstrained and constrained state estimation using particle filter,” Journal of Process Control, vol. 21, no. 1, pp. 3-16, 2011.
Index Terms

Computer Science
Information Sciences

Keywords

Unscented Kalman Filter (UKF) Particle Filter with EKF as Proposal Distribution [PF-EKF] Particle Filter with UKF as Proposal Distribution [PF-UKF] Sampling Importance Re-sampling Particle Filter [SIR-PF] Bayesian State Estimation Three Phase Induction motor [IM]