States Estimation and Fault Detection of a Doubly Fed Induction Machine by Moving Horizon Estimation

Authors: A. T. Boum, L. Bitjoka, N. N. Léandre, S. Bennet

Abstract:

This paper presents the estimation of the key parameters of a double fed induction machine (DFIM) by the use of the moving horizon estimator (MHE) for control and monitoring purpose. A study was conducted on the behavior of this observer in the presence of some faults which can occur during the operation of the machine. In the first case a stator phase has been suppressed. In the second case the rotor resistance has been multiplied by a factor. The results show a good estimation of different parameters such as rotor flux, rotor speed, stator current with a very small estimation error. The robustness of the observer was also tested in the practical case of DFIM by using another model different from the real one at a constant close. The very small estimation error makes the MHE a good software sensor candidate for monitoring purpose for the DFIM. 

Keywords: Doubly fed induction machine, moving horizon estimator parameters’ estimation.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1316684

References:

[1] A. Dendouga, ''Control of the active and reactive powers of the double feeding asynchronous machine (DFIM)'', PhD thesis University of Batna, Algeria, 2010.
[2] G. Salloum, R. Mbayed, M. Pieterzak-David M. and B. De Forme, “Mixed Sensitivity H∞ Control of Doubly Fed Induction Motor’’, 1-4244-0755-9/07/$20.00, IEEE 2007, 3, p.1300-1304.
[3] A. L. Nemmour, R. Abdessamed, A. Khezzar, L. Louze and M. Boucherma ‘‘The Input Output Linearization Control Scheme for a Doubly-Fed Induction Motor Drive’’, 978-1-1736-0/08/$25.00’, IEEE, 2008, p.1-6.
[4] Chikouche, M. Tarik, Hadjri, Samir, Mezouar, Abdelkader, et al. Robust Speed Control of a Doubly Fed Induction Motor using State-Space Nonlinear Approach. Leonardo Journal of Sciences, 2013, vol. 1, no 12, p. 103-122.
[5] H. Bennani, ''Induction double feeding machine, Laws of control in steady state'', Master's thesis of Laval University Québec, 2011.
[6] S. Khojet EL KhiL, 'Vector control of a double-powered induction machine (DFIM), National Polytechnic Institute of Toulouse, 2006.
[7] H. Valdes-Gonzalez, ''Contribution to the moving horizon estimation by set methods: applications to the monitoring and detection of dysfunctions on bioprocesses.'' 2002. Doctoral thesis. University Joseph-Fourier-Grenoble I.
[8] M. S. Vicatos and A. J. Tegopoulos, ''A doubly-fed induction machine differential drive model for automobiles'', IEEE Transactions on Energy Conversion, vol. 18, No. 2, pp. 225- 230, June 2003.
[9] S. Drid, "Contribution to modeling and robust control of a double-fed oriented induction machine with optimization of the feeding structure: theory and experimentation", Doctorate thesis in Electrotechnics, University of Batna, Algeria, 2005.
[10] F. Poitiers, "Study and control of induction generators for the use of wind energy: induction cage with autonomous cage, induction machine with dual power supply connected to the network", doctorate thesis in Electronics and Electrical Engineering, Polytechnic school of Nantes University, France, 2003.
[11] D. Forchetti, G. Garcia, and M.I Valla M, «Vector control strategy for a doubly-fed standalone induction generator vector », IEEE Trans .Energy conversion, pp: 991-995, 2002.
[12] A. Boyette, "Regulation and control of a dual-power asynchronous generator with storage system for wind generation", PhD thesis in electrical engineering, Henri Poincaré University, Nancy I, 11, France, 2006.
[13] R. Pena, J.C. Clare and G. M. Asher, (1996). Doubly fed induction generator using back-to-back PWM converters and its application to variable-speed wind-energy generation. IEE Proceedings-Electric Power Applications, 143(3), 231-241.
[14] M. Smail et al, ''Modeling of a wind turbine conversion chain equipped with an induction double feeding machine'', ICESD'11 233 - 238, 2011.
[15] A. Boum, '' predictive control of a fluidized bed catalytic converter with estimation of key parameters'', doctoral thesis of the University of Lorraine, May 2014.
[16] R. Suwantong, "Development of the Moving Horizon Estimator with Pre-Estimation (MHEPE). Application to Space Debris Tracking during the Re-Entries". Automatic. Supelec, 2014. English.
[17] C. Rao, J. Rawlings and D. Mayne, (2003). "Constrained state estimation for nonlinear discrete-time systems: stability and moving horizon approximations". IEEE Transactions on Automatic Control, 48(2).
[18] C.C. Qu, and J. Hahn, (2009). "Computation of arrival cost for moving horizon estimation via unscented Kalman filtering". Journal of Process Control, 19(2):358–363.
[19] A. Alessandri, M. Baglietto and G. Battistelli, (2005). "Robust receding-horizon estimation for discrete-time linear systems in the presence of bounded uncertainties". In 44th IEEE Conference on Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC ’05, pages 4269–4274.
[20] T. Polóni, B. Rohaľ-ilkiv.and T.A Johansen T. "Moving Horizon Estimation for Integrated Navigation Filtering". IFAC Papers Online, 2015.
[21] J.L. Rawlings, B. James, W. HU, et al. "Robust stability of moving horizon estimation under bounded disturbances". IEEE Transactions on Automatic Control, 2016, vol. 61, no 11, p. 3509-3514.
[22] R. Schneider and W. Marquardt., (2016). "Convergence and stability of a constrained partition-based moving horizon estimator". IEEE Transactions on Automatic Control, 61(5), 1316-1321.