A DFT-based synchrophasor, frequency and ROCOF estimation algorithm

Petri, Dario; Fontanelli, Daniele; Macii, David; Belega, Daniel

doi:10.1109/amps.2013.6656231

Cited by 15 publications

(10 citation statements)

References 18 publications

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“…The Weighted Least Squares (WLS) estimates of the coefficients of the Taylor's polynomials (12) and (13) are: …”

Section: B the Real-valued Approachmentioning

confidence: 99%

“…In particular, they define the phasor measurement accuracy in terms of the following parameters: Total Vector Error (TVE), Frequency Error (FE), and ROCOF Error (RFE). Since in practice the parameters of the analyzed waveforms may be affected by time variations, recently proposed algorithms adopt a dynamic phasor model [3] - [12]. Accurate phasor estimates can be achieved by using the so-called Taylor Weighted Least Squares (TWLS) algorithm [5], which is also able to provide estimates for Frequency Deviation (FD) and ROCOF [5].…”

Section: Introductionmentioning

confidence: 99%

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A real-valued Taylor Weighted Least Squares synchrophasor estimator

Belega

Petri

2014

2014 IEEE International Workshop on Applied Measurements for Power Systems Proceedings (AMPS)

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In this paper a real-valued version of the Taylor Weighted Least Squares (TWLS) algorithm is proposed. This algorithm can be considered as a generalization to both windowing and dynamic waveform model of the well-known three-parameter sine-fitting (3PSF) algorithm when the waveform offset is assumed to be null. The analytical expressions for the phasor, frequency, and Rate Of Change of Frequency (ROCOF) are derived. Several computer simulations performed under different steady-state and dynamic conditions compliant with the IEEE Standard C37.118.1-2011 about synchrophasor measurements for power systems and its related Amendment IEEE Standard C37.118.1a-2014 show that the real-valued and the classical complex-valued TWLS algorithms return the same results. However, the real-valued approach requires a lower processing effort. Furthermore, the accuracies of sine-wave amplitude and phase estimates returned by the real-valued TWLS algorithms as well as the 3PSF algorithm when the analyzed waveform is affected by different static or dynamic disturbances are compared by means of simulations. The achieved results show that the proposed algorithm provides more accurate results than both the classical 3PSF algorithm and its generalization based on data windowing.

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“…The Weighted Least Squares (WLS) estimates of the coefficients of the Taylor's polynomials (12) and (13) are: …”

Section: B the Real-valued Approachmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A real-valued Taylor Weighted Least Squares synchrophasor estimator

Belega

Petri

2014

2014 IEEE International Workshop on Applied Measurements for Power Systems Proceedings (AMPS)

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“…And finally, DFT image fundamental frequency infiltration has been also applied to estimate frequency offsets in [11] and [12]. The interest in the frequency and ROCOF measurements together with the phasor measurement problem was put on recently in [13]- [17]. The first set basically use frequency-locked loop (FLL) techniques to tune the filters at the actual measured frequency to improve the estimates of the frequency parameters.…”

Section: Introductionmentioning

confidence: 99%

“…The first set basically use frequency-locked loop (FLL) techniques to tune the filters at the actual measured frequency to improve the estimates of the frequency parameters. Petri et al [17] remark that the measurements of frequency and ROCOF demand long time intervals. Castello et al [16] use an FLL feedback to improve estimates using two stages of Taylor-Fourier filters, as in [2], proposing a unique schema to provide P and M class estimates.…”

Section: Introductionmentioning

confidence: 99%

“…Castello et al [16] use an FLL feedback to improve estimates using two stages of Taylor-Fourier filters, as in [2], proposing a unique schema to provide P and M class estimates. On the other hand, Petri et al [17] conclude that filters with multicycle observation windows are needed to reject harmonic and white noises, and longer intervals increase phasor, frequency, and ROCOF errors, under frequency fluctuations. Finally, [18] proposes algorithms to provide estimates of fundamental and harmonic phasors over a wide frequency range, according to the static and dynamic requirements of the standard C37.118.1.…”

Section: Introductionmentioning

confidence: 99%

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Synchrophasor Measurement With Polynomial Phase-Locked-Loop Taylor–Fourier Filters

Serna

2015

IEEE Trans. Instrum. Meas.

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Synchrophasor estimation research has recently shifted emphasis from the phasor to the frequency and rate of change of frequency estimation problem. The main concern now is to achieve finer dynamic spectral analysis from the power system signals. This paper proposes the use of the Taylor-Fourier filters to reduce the error of the whole set of estimated parameters. This reduction is attained by exploiting their capability to match the phase pattern of the signal from one estimation to the next. By being endowed with their own phase follower, they are able to point their basis vectors toward the given signal, providing the best possible estimates from the nearest available subspace. The adaptive filters, provided with their own polynomial phaselocked loop, follow the instantaneous frequency of the given signal. Since most of the signals stipulated in the synchrophasor standard are defined by Taylor polynomials, the performance of this family of filters is remarkable, for durations from two cycles. They obtain estimates with zero error in the full set of parameters, when the test signal is in the focused Taylor-Fourier subspace. Very small estimation errors can be obtained for signal to noise ratios greater than 50 dB. Harmonic interference can also be constrained, but with higher computational cost.Index Terms-Dynamic phasor estimates, frequency estimates, phase-locked loop (PLL), phasor measurement unit, power system oscillations, ROCOF, synchrophasors. 0018-9456

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