Applying a Kalman smoother to synchrophasoi estimation

Electrical waveform phasor measurements are receiving an increasing interest due to their key role in high-performance monitoring of future smart grids. In particular, different estimation algorithms based on a dynamic phasor model have been recently proposed in order to comply with the strict requirements needed to accurately track amplitude, phase, and frequency changes of power waveforms in distribution systems. In this paper, a Kalman smoother based on a dynamic phasor model is proposed to estimate amplitude, phase, frequency and rate of change of frequency of the collected waveforms. The accuracy of the proposed approach is evaluated through simulations in different conditions described in the Standard IEEE C37.118.1-2011 and a comparison with a state-of-the-art method is performed.

[1]  Thia Kirubarajan,et al.  Estimation with Applications to Tracking and Navigation: Theory, Algorithms and Software , 2001 .

[2]  Daniel Belega,et al.  Accuracy Analysis of the Multicycle Synchrophasor Estimator Provided by the Interpolated DFT Algorithm , 2013, IEEE Transactions on Instrumentation and Measurement.

[3]  Junqi Liu,et al.  Fundamental and harmonic synchrophasors estimation using modified Taylor-Kalman filter , 2012, 2012 IEEE International Workshop on Applied Measurements for Power Systems (AMPS) Proceedings.

[4]  Andrew J. Roscoe,et al.  Exploring the Relative Performance of Frequency-Tracking and Fixed-Filter Phasor Measurement Unit Algorithms Under C37.118 Test Procedures, the Effects of Interharmonics, and Initial Attempts at Merging P-Class Response With M-Class Filtering , 2013, IEEE Transactions on Instrumentation and Measurement.

[5]  Dario Petri,et al.  On the Accuracy of Phasor Angle Measurements in Power Networks , 2015, IEEE Transactions on Instrumentation and Measurement.

[6]  C. Striebel,et al.  On the maximum likelihood estimates for linear dynamic systems , 1965 .

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

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

[9]  Daniel Belega,et al.  A DFT-based synchrophasor, frequency and ROCOF estimation algorithm , 2013, 2013 IEEE International Workshop on Applied Measurements for Power Systems (AMPS).

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

[11]  Mario Paolone,et al.  Enhanced Interpolated-DFT for Synchrophasor Estimation in FPGAs: Theory, Implementation, and Validation of a PMU Prototype , 2014, IEEE Transactions on Instrumentation and Measurement.

[12]  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).

[13]  Jian Zhang,et al.  Shifting Window Average Method for Phasor Measurement at Offnominal Frequencies , 2014, IEEE Transactions on Power Delivery.

[14]  José Antonio de la O. Serna,et al.  Taylor–Kalman–Fourier Filters for Instantaneous Oscillating Phasor and Harmonic Estimates , 2012, IEEE Transactions on Instrumentation and Measurement.

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

[16]  J. A. de la O Serna,et al.  Instantaneous Oscillating Phasor Estimates With Taylor$^K$-Kalman Filters , 2011, IEEE Transactions on Power Systems.

[17]  Dario Petri,et al.  A Frequency-Domain Algorithm for Dynamic Synchrophasor and Frequency Estimation , 2014, IEEE Transactions on Instrumentation and Measurement.

[18]  Dario Petri,et al.  Accuracy Analysis and Enhancement of DFT-Based Synchrophasor Estimators in Off-Nominal Conditions , 2012, IEEE Transactions on Instrumentation and Measurement.

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

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

[21]  D. Simon.  Optimal State Estimation: Kalman, H Infinity, and Nonlinear Approaches , 2006 .

[22]  Dario Petri,et al.  Synchrophasor Estimators Accuracy: A Comparative Analysis , 2013, IEEE Transactions on Instrumentation and Measurement.

[23]  Junqi Liu,et al.  A Fast and Accurate PMU Algorithm for P+M Class Measurement of Synchrophasor and Frequency , 2014, IEEE Transactions on Instrumentation and Measurement.