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Dual Kalman Filters Analysis for Interior Permanent Magnet Synchronous Motors

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1196))

Abstract

This paper deals with an analysis and design of Dual Extended Kalman Filters (DKFs) to estimate parameters and state variables in Permanent Magnet Synchronous Machines (PMSMs) to be utilized in a control structure. A dual estimation problem consists of a simultaneous estimation of states of the dynamical system and its parameters using only noisy output observations. In this paper, the limit of an Augmented and Extended Kalman Filter (AEKF) obtained through standard state augmentation to estimate parameters is shown and, alternatively, a DKF approach which is characterized by the use of the state model descriptions in the output of an AEKF is proposed. The two different approaches are analyzed and compared. These results are supported by simulations.

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References

  1. Haykin, S.: Kalman Filtering and Neural Networks. Wiley, Boston (2001)

    Book  Google Scholar 

  2. Hilairet, M., Auger, F., Berthelot, E.: Speed and rotor flux estimation of induction machines using a two-stage extended Kalman filter. Automatica 45, 1819–1827 (2009)

    Article  MathSciNet  Google Scholar 

  3. Rahman, M.A., Vilathgamuwa, D.M., Uddin, M.N., Tseng, K.J.: Nonlinear control of interior permanent magnet synchronous motor. IEEE Trans. Indus. Appl. 39(2), 408–416 (2003)

    Article  Google Scholar 

  4. Mercorelli, P.: Robust feedback linearization using an adaptive PD regulator for a sensorless control of a throttle valve. Mechatronics 19(8), 1334–1345 (2009)

    Article  Google Scholar 

  5. Mercorelli, P.: A hysteresis hybrid extended Kalman filter as an observer for sensorless valve control in camless internal combustion engines. IEEE Trans. Indus. Appl. 48(6), 1940–1949 (2012)

    Article  MathSciNet  Google Scholar 

  6. Mercorelli, P.: A two-stage augmented extended Kalman filter as an observer for sensorless valve control in camless internal combustion engines. IEEE Trans. Indus. Electron. 59(11), 4236–4247 (2012)

    Article  Google Scholar 

  7. Mercorelli, P.: A two-stage sliding-mode high-gain observer to reduce uncertainties and disturbances effects for sensorless control in automotive applications. IEEE Trans. Indus. Electron. 62(9), 5929–5940 (2015)

    Article  Google Scholar 

  8. Mercorelli, P.: A switching observer for sensorless control of an electromagnetic valve actuator for camless internal combustion engines. In: Proceedings of the 50th International Conference on Decision and Control (CDC 2011), Orlando, USA, December 2011

    Google Scholar 

  9. Sontag, E.D.: Mathematical Control Theory: Deterministic Finite Dimensional Systems. Springer-VerlagBerlin, Heidelberg (1998)

    Book  Google Scholar 

  10. Stumberger, B., Stumberger, G., Dolinar, D., Hamler, A., Trlep, M.: Evaluation of saturation and cross-magnetization effects in interior permanent-magnet synchronous motor. IEEE Trans. Indus. Appl. 39(5), 1264–1271 (2003)

    Article  Google Scholar 

  11. Tian, G., Yan, Y., Jun, W., Ru, Z.Y., Peng, Z.X.: Rotor position estimation of sensorless PMSM based on extented Kalman filter. In: Proceedings of the 2018 IEEE International Conference on Mechatronics, Robotics and Automation (ICMRA), pp. 12–16 (2018)

    Google Scholar 

  12. Vas, P., Brown, J.E., Hallenius, K.E.: Cross-saturation in smooth-air-gap electrical machines. IEEE Power Eng. Rev. PER–6(3), 37 (1986)

    Article  Google Scholar 

  13. Vas, P., Hallenius, K.E., Brown, J.E.: Cross-saturation in smooth-air-gap electrical machines. IEEE Trans. Energy Convers. EC–1(1), 103–112 (1986)

    Article  Google Scholar 

  14. Zwerger, T., Mercorelli, P.: Combining SMC and MTPA using an EKF to estimate parameters and states of an interior PMSM. In: Proceedings of the 20th International Carpathian Control Conference (ICCC), pp. 1–6 (2019)

    Google Scholar 

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Correspondence to Tanja Zwerger .

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Zwerger, T., Mercorelli, P. (2020). Dual Kalman Filters Analysis for Interior Permanent Magnet Synchronous Motors. In: Bartoszewicz, A., Kabziński, J., Kacprzyk, J. (eds) Advanced, Contemporary Control. Advances in Intelligent Systems and Computing, vol 1196. Springer, Cham. https://doi.org/10.1007/978-3-030-50936-1_36

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