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Grid Frequency Estimation Using Multiple Model with Harmonic Regressor: Robustness Enhancement with Stepwise Splitting Method

Grid Frequency Estimation with Multiple Model

Alexander Stotsky (Institutionen för energi och miljö, Elteknik)
Preprints of the 20-th World Congress of the International Federation of Automatic Control, Toulouse, France, July 9-14, 2017 p. 13359-13364. (2017)
[Konferensbidrag, refereegranskat]

Reduction of inertia in electricity networks due to high penetration level of renewable energy sources will require wind turbines to participate in frequency regulation via Active Power Control. The performance of frequency regulation and protection system depends strongly on the performance of network frequency estimation. Fast frequency variations and uncertainties associated with unknown harmonics and measurement noise in the network signals are the main obstacles to performance improvement of frequency estimation with classical zero crossing method, which is widely used in industry. The same uncertainties introduce challenges in model based frequency estimation. These challenges are addressed in this paper within the framework of multiple model with harmonic regressor. Additional challenges associated with computational complexity of matrix inversion algorithms and accuracy of inversion of ill-conditioned matrices in the multiple model are also discussed in the paper. New high order algorithms with reduced computational complexity are presented. Instability mechanism is discovered in Newton-Schulz and Neumann matrix inversion techniques in finite precision implementation environment. A new stepwise splitting method is proposed for elimination of instability and for performance improvement of matrix inversion algorithms in the multiple model. All the results are confirmed by simulations.

Nyckelord: Accurate Frequency Tracking in Electricity Networks, Harmonic Regressor, Multiple Model, High Order Algorithms, Step-wise Splitting, Round-off Errors, Numerical Instability, Newton-Schulz Algorithm, Neumann Series

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Denna post skapades 2017-07-15. Senast ändrad 2017-07-15.
CPL Pubid: 250725


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Institutioner (Chalmers)

Institutionen för energi och miljö, Elteknik (2005-2017)


Elektroteknik och elektronik

Chalmers infrastruktur