Publisher : The Korean Institute of Electrical Engineers
DOI : 10.5370/KIEE.2016.65.6.1019
Title & Authors
Parallel Reduced-Order Square-Root Unscented Kalman Filter for State Estimation of Sensorless Permanent-Magnet Synchronous Motor Moon, Cheol; Kwon, Young-Ahn;
This paper proposes a parallel reduced-order square-root unscented Kalman filter for state estimation of a sensorless permanent-magnet synchronous motor. The appearance of an unscented Kalman filter is caused by the linearization process error between a real system and classical Kalman model. The unscented transformation can make a more accurate Kalman model. However, the complexity is its main drawback. This paper investigates the design and implementation of the proposed filter with Potter and Carlson square-root form. The proposed parallel reduced-order square-root unscented Kalman filter reduces memory and code size, and improves numerical computation. And the performance is not significantly different from the unscented Kalman filter. The experimentation is performed for the verification of the proposed filter.
Y. H. Kim, "IPMSM Drives without Rotational Position Sensors Uisng Reduced-Order EKF," IEEE Trans. Energy Conversion, vol. 14, No. 4, pp.868-873, Dec. 1999.
S. Bolognari, M. Zigliotto, and M. Zordan, "Extended-Range PMSM Sensorless Speed Drive Based on Stochastic Filtering," IEEE Trans. on Power Electron., vol. 16, No. 1, pp.110-117, Jan. 2001.
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.
S. Julier, J. Uhlmann, H. F. Durrant-Whyte, "A New Method for the Nonlinear Transformation of Means and Covariances in filters and estimators," IEEE Trans Automatic Control, vol. 45, No. 3, pp. 477-482, March. 2000.
C. Moon, and Y. A. Kwon, "Sensorless Speed Control of Permanent Magnet Synchronous Motor by Unscented Kalman Filter using Various Scaling Parameters," J. Electr. Eng. Technol., vol. 11, No. 2, pp. 347-352, March. 2016.
Cheol Moon, Jung Sung Park, and Young Ahn Kwon and Ralph M. Kenel, "Unscented Transformations of UKF for Sensorless Speed Control of PMSM," in Proc. IEEE TENCON2015, Nov. 2015.
M. Grewal, and A. Andrews, Kalman Filtering: Theory and Practice Using MATLAB, 3nd Edition, Wiley-IEEE Press, 2008.
V. Smidl, and Z. Peroutka, "Advantages of Square-Root Extended Kalman Filter for Sensorless Control of AC Drives," IEEE Trans. Ind. Electron., vol. 59, No. 11, pp. 4189-4196, Nov. 2012.
S. Jafarzadeh, C. Lascu, and M. S. Fadali, "Square Root Unscented Kalman Filter for State Estimation of Induction Motor Drives," IEEE Trans. Ind. Appl., vol. 49, No. 1, pp.92-99, Jan-Feb. 2013.
N. K. Quang, N. T. Hieu, and Q. P. Ha, "FPGA-Based Sensorless PMSM Speed Control Using Reduced-Order Extended Kalman Filters," IEEE Trans. Ind. Electron., vol. 61, No. 12, pp.4574-4582, Dec. 2014.
Y. Zhonggang, Z. Chang. and L. Jing, "Research on Anti-Error Performance of Speed and Flux Estimator for Induction Motor Using Robust Reduced-Order EKF," IEEE Trans. Ind. Informat., vol. 9, No. 2, pp. 1037-1046, May. 2013.
M. C. Huang, A. J. Moses, F. Anayi, X. G. Yao, "Reduced-Order Linear Kalman Filter(RLKF) Theory in Application of Sensorless Control for Permanent Magnet Synchronous Motor(PMSM)," Ind. Electron. and Appl. 2006 1ST IEEE Conf., pp.1-6, 2006.
V. Smidl, and Z. Peroutka, "Reduced-order square-root EKF for sensorless control of PMSM drives," IEEE Ind. Electron. Soc. Annu Conf., pp.2000-2005, 2011.