Instantaneous Oscillating Phasor Estimates With Taylor$^K$-Kalman Filters

Serna, José Antonio de la O; Maldonado, Johnny Rodríguez

doi:10.1109/tpwrs.2011.2157539

Cited by 98 publications

(20 citation statements)

References 18 publications

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“…Discrete Fourier Transform (DFT)-based phasor estimation algorithms have traditionally been used because of their good performance in steady-state conditions, and they are used in many commercial phasor measurement units (PMUs), but they fail for off-nominal frequencies and under transient and dynamic conditions. Under these conditions, time-varying amplitude and phase angle models have been proposed to improve the accuracy of phasor estimation and for compliance with synchrophasor measurement standards [4][5][6][7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

“…Dynamic phasor estimation algorithms have been proposed [4][5][6], where the phasor is approximated with a Taylor polynomial expansion around the reference time. A Kalman filter was used [7,8] to estimate a dynamic phasor and its derivatives. A state-space model was used where the 2 of 11 dynamic phasor was approximated by a kth Taylor polynomial expansion.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

An Extended Kalman Filter Approach for Accurate Instantaneous Dynamic Phasor Estimation

2018

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This paper proposes the application of a non-linear Extended Kalman Filter (EKF) for accurate instantaneous dynamic phasor estimation. An EKF-based algorithm is proposed to better adapt to the dynamic measurement requirements and to provide real-time tracking of the fundamental harmonic components and power system frequencies. This method is evaluated using dynamic compliance tests defined in the IEEE C37.118.1-2011 synchrophasor measurement standard, providing promising results in phasor and frequency estimation, compliant with the accuracy required in the case of off-nominal frequency, amplitude and phase angle modulations, frequency ramps, and step changes in magnitude and phase angle. An important additional feature of the method is its capability for real-time detection of transient disturbances in voltage or current waveforms using the residual of the filter, which enables flagging of the estimation for suitable processing.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An Extended Kalman Filter Approach for Accurate Instantaneous Dynamic Phasor Estimation

2018

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“…Traditionally, many methods have been proposed to estimate synchrophasors with the consideration of frequency deviations and oscillations [3,7,8,9,10,11,12,13,14]. For example, as for frequency deviations, a very useful tool is the well-known interpolated discrete Fourier transform (IpDFT) [7] and its enhanced version [8].…”

Section: Introductionmentioning

confidence: 99%

“…For example, as for frequency deviations, a very useful tool is the well-known interpolated discrete Fourier transform (IpDFT) [7] and its enhanced version [8]. Regarding oscillations, the Taylor series expansion is widely used in the literature to describe oscillating signals, such as the least square [9], the weighted least square (WLS) [10], the Taylor-DFT [11,12,13], the Taylor

^{K}

-Kalman filter [14] and the interpolated dynamic DFT (IpD

^{2}

FT) [3]. However, few of these papers have considered second harmonic interferences.…”

Section: Introductionmentioning

confidence: 99%

Enhanced Interpolated Dynamic DFT Synchrophasor Estimator Considering Second Harmonic Interferences

Chen

Zhao

Wang

et al. 2018

Sensors

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In the future, phasor measurement units are expected to be applied in distribution networks (DNs) for their control and monitoring. Because of the widely used power electronic devices in DNs, harmonics are widely present in a voltage/current signal. Particularly, second harmonics have the most significant uncertainty contributions to synchrophasor estimation, which is especially true when a short cycle observation window is used for a fast response. Based on the interpolated dynamic discrete Fourier transform (IpD2FT), this paper introduces an enhanced IpD2FT (e-IpD2FT) synchrophasor estimator that considers second harmonic interferences. First, the adaptive equivalent filters of the IpD2FT are given. Based on these, the optimal frequencies where the IpD2FT has the least second harmonic interferences are then searched using an enumeration method, and the e-IpD2FT synchrophasor estimator is accordingly proposed. Instantaneous frequency responses and several simulation tests show that the e-IpD2FT performs much better than the IpD2FT in second harmonic suppression, and can meet the P-class response time requirements and most of the M-class accuracy requirements of the IEEE standard C37.118.1 only over a three-cycle window.

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“…Its behaviour closely resembles to the desired band‐pass filtering (close to the ideal condition for distance relays). Previously, the Taylor–Kalman–Fourier (TKF) performance has been evaluated using benchmark signals and the total vector error [20], which are specified in the synchrophasor standard [21].…”

Section: Introductionmentioning

confidence: 99%