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Impact of Observability and Multi-objective Optimization on the Performance of Extended Kalman Filter for DTC of AC Machines

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Abstract

It is well known that the selection of extended Kalman filter (EKF) covariance elements has a considerable bearing on the effectiveness of EKF performance. The observability at very low frequency is also an essential property for the selection of EKF elements. This paper investigates the optimization of the EKF covariance elements when zero frequency is included in the training profile for direct torque control (DTC) of induction motor. In addition, the paper studies the optimization of EKF by speed and torque fitness functions using a non-dominated sorting genetic algorithm-II at zero and high speeds under stable flux regulation. For this purpose, DTC with constant switching frequency controller which has the capability of establishing continuous flux rotation regardless of speed variation is used. The optimized results of EKF for both DTC motor drives and speed and torque cost functions are verified experimentally.

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Abbreviations

A:

System matrix

B:

Input matrix

DTC:

Direct torque control

EKF:

Extended Kalman filter

FOC:

Field oriented control

IM:

Induction motor

i s :

Stator current space vector

KF:

Kalman filter

l s, l r :

Stator and rotor self inductances

R s, R r :

Stator and rotor resistances

u :

Control-input vector

v s :

Stator voltage space vectors

x :

State space vector

σ:

\(\sigma = 1 - L_{m}^{2} /(L_{s} L_{r} )\)

\(\omega _{r}\) :

Rotor speed

\(l_{\sigma }\) :

\(l_{\sigma } = l_{s} - l_{m}^{2} /l_{r}\)

\(\psi_{s} , \psi_{r}\) :

Stator and rotor flux linkage space vectors

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Acknowledgements

This research was supported by a Grant (no. 20172020108970) from the Korea Institute of Energy Technology Evaluation and Planning (KETEP) that was funded by the Ministry of Trade, Industry and Energy (MOTIE).

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Authors and Affiliations

  1. Department of Electrical and Computer Engineering, Ajou University, Suwon, Korea

    Ibrahim Mohd Alsofyani & Kyo-Beum Lee

  2. Faculty of Electrical Engineering, Universiti Teknologi Malaysia, Johor Bahru, Malaysia

    Nik Rumzi Nik Idris

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  1. Ibrahim Mohd Alsofyani
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  2. Nik Rumzi Nik Idris
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  3. Kyo-Beum Lee
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Correspondence to Kyo-Beum Lee.

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Alsofyani, I.M., Idris, N.R.N. & Lee, KB. Impact of Observability and Multi-objective Optimization on the Performance of Extended Kalman Filter for DTC of AC Machines. J. Electr. Eng. Technol. 14, 231–242 (2019). https://doi.org/10.1007/s42835-018-00019-3

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  • DOI: https://doi.org/10.1007/s42835-018-00019-3

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