Fast Taylor Weighted Least Squares Algorithm for Synchrophasor Estimation

This paper proposes a fast Taylor Weighted Least Squares (fast-TWLS) algorithm for accurate real-time synchrophasor estimation. It requires the calculation at runtime of only two Discrete Time Fourier Transforms (DTFTs) at nominal frequency and further few elementary arithmetic operations. The accuracies - as expressed by the Total Vector Error (TVE) - of the proposed fast-Twls algorithm and the real-valued TWLS algorithm recently proposed in the literature are compared to each other under several static and dynamic testing conditions suggested in the IEEE Standard C37.118.1-2011 for synchrophasor measurements for power systems.

[1]  José Antonio de la O. Serna,et al.  Dynamic Phasor Estimates for Power System Oscillations , 2007, IEEE Transactions on Instrumentation and Measurement.

[2]  José Antonio de la O. Serna,et al.  Dynamic Phasor and Frequency Estimates Through Maximally Flat Differentiators , 2010, IEEE Transactions on Instrumentation and Measurement.

[3]  G. M. Burt,et al.  P and M Class Phasor Measurement Unit Algorithms Using Adaptive Cascaded Filters , 2013, IEEE Transactions on Power Delivery.

[4]  A.G. Phadke,et al.  Synchronized Phasor and Frequency Measurement Under Transient Conditions , 2009, IEEE Transactions on Power Delivery.

[5]  F. Harris.  On the use of windows for harmonic analysis with the discrete Fourier transform , 1978, Proceedings of the IEEE.

[6]  Guglielmo Frigo,et al.  Fast-TFM—Multifrequency Phasor Measurement for Distribution Networks , 2018, IEEE Transactions on Instrumentation and Measurement.

[7]  Paolo Castello,et al.  Impact of the Model on the Accuracy of Synchrophasor Measurement , 2012, IEEE Transactions on Instrumentation and Measurement.

[8]  Daniel Belega,et al.  Low-Complexity Least-Squares Dynamic Synchrophasor Estimation Based on the Discrete Fourier Transform , 2015, IEEE Transactions on Instrumentation and Measurement.

[9]  Arun G. Phadke,et al.  Synchronized Phasor Measurements and Their Applications , 2008 .

[10]  A. Nuttall.  Some windows with very good sidelobe behavior , 1981 .

[11]  Daniel Belega,et al.  Dynamic Phasor and Frequency Measurements by an Improved Taylor Weighted Least Squares Algorithm , 2015, IEEE Transactions on Instrumentation and Measurement.

[12]  B. Kasztenny,et al.  Development and Implementation of a Synchrophasor Estimator Capable of Measurements Under Dynamic Conditions , 2008, IEEE Transactions on Power Delivery.

[13]  D. Belega,et al.  Multifrequency signal analysis by Interpolated DFT method with maximum sidelobe decay windows , 2009 .

[14]  Daniel Belega,et al.  A real-valued Taylor Weighted Least Squares synchrophasor estimator , 2014, 2014 IEEE International Workshop on Applied Measurements for Power Systems Proceedings (AMPS).

[15]  Daniel Belega,et al.  Effect of windowing and noise on the amplitude and phase estimators returned by the Taylor-based Weighted Least Squares , 2018, Digit. Signal Process..