Skip to main content
Springer Nature Link
Log in

Dual Kalman Filters Analysis for Interior Permanent Magnet Synchronous Motors

  • Conference paper
  • First Online:
Advanced, Contemporary Control

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

  • 1458 Accesses

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

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 

Download references

Author information

Authors and Affiliations

  1. Rolls Royce, Maybachplatz 1, 88045, Friedrichshafen, Germany

    Tanja Zwerger

  2. Institute of Product and Process Innovation, Leuphana University of Lueneburg, Universitaetsallee 1, 21335, Lueneburg, Germany

    Paolo Mercorelli

Authors
  1. Tanja Zwerger
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Paolo Mercorelli
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Tanja Zwerger .

Editor information

Editors and Affiliations

  1. Institute of Automatic Control, Lodz University of Technology, Lodz, Poland

    Andrzej Bartoszewicz

  2. Institute of Automatic Control, Lodz University of Technology, Lodz, Poland

    Jacek Kabziński

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

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

Download citation

Publish with us

Policies and ethics