A dynamic phasor estimation algorithm based on angle-shifted energy operator

Jin, Xue Zhou; Wang, Fuping; Zanji, Wang

doi:10.1007/s11431-013-5227-0

Cited by 12 publications

(10 citation statements)

References 9 publications

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“…According to (4), H(t) = A(t)e (jϕ(t)) is comprehensive definition of phasor as dynamic phasor with time-varying amplitude and phase. Regarding time-varying character of dynamic phasor, its second-order Taylor expansion around the interval centre (t = 0) is calculated as:…”

Section: Phasor Estimation In Non-harmonic Conditionmentioning

confidence: 99%

“…In [3], a new method based on adaptive band-pass filter has been proposed to estimate phasor. Jin et al [4] has introduced an angle-shifted energy operator in order to extract the instantaneous amplitude. An integrated phasor and frequency estimation using a fast recursive Gauss-Newton algorithm has been proposed in [5] and a method based on modified Fourier transform for eliminating direct current (DC) offset has been presented in [6].…”

Section: Introductionmentioning

confidence: 99%

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Dynamic synchrophasor estimation by Taylor–Prony method in harmonic and non‐harmonic conditions

Khodaparast

Khederzadeh

2017

IET Generation, Transmission & Distribution

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Dynamic phasor is suitable for analysis of non-stationary signals (such as power swings) in phasor measurement unit. In this study, dynamic phasor of the generated signals during power swing is analysed by a classical signal processing technique known as Prony. The Prony analysis is a useful technique to model a linear sum of damped complex exponential signals. In this study, a combination of the least square-based Prony analysis and Taylor expansion called as Taylor-Prony is proposed to estimate the dynamic phasor. Zeroth-order Taylor-Prony, i.e. static phasor is compared with the second-order Taylor-Prony, i.e. dynamic phasor for illustrating the dynamic phasor capability. Sinusoidal and step changes of amplitude and phase, harmonic condition, frequency tracking tests, noise infiltration and computation time are different tests which are used to validate the proposed method. First, the method is explained theoretically, and then its potential is demonstrated by simulating various numerical signals in MATLAB and measured signals during power swing from three-machine power system simulated in PSCAD. Simulation results show that the proposed method can estimate the dynamic phasor during power swing accurately. Ultimately, the proposed method is compared with six methods which have already presented to verify the capability of the proposed method.

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Section: Phasor Estimation In Non-harmonic Conditionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamic synchrophasor estimation by Taylor–Prony method in harmonic and non‐harmonic conditions

Khodaparast

Khederzadeh

2017

IET Generation, Transmission & Distribution

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“…The paper [8] proposes a new method based on an adaptive band-pass filter in order to evaluate the phasor. On the other hand, the authors of [9] introduce a special angle-shifted energy operator to separate the value of the instantaneous amplitude of the phasor. The least square curve fitting approach was proposed in [10] in order to eliminate the unwanted effect of saturation of the current transformer.…”

Section: Introductionsmentioning

confidence: 99%

Dynamic Phasors Estimation Based on Taylor-Fourier Expansion and Gram Matrix Representation

Petrović

Damljanović

2018

Mathematical Problems in Engineering

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The paper presents a new approach to estimation of the dynamic power phasors parameters. The observed system is modelled in algebra of matrices related to its Taylor-Fourier-trigonometric series representation. The proposed algorithm for determination of the unknown phasors parameters is based on the analytical expressions for elements of the Gram’s matrix associated with this system. The numerical complexity and algorithm time are determined and it is shown that new strategy for calculation of Gram’s matrix increases the accuracy of estimation, as well as the speed of the algorithm with respect to the classical way of introducing the Gram’s matrix. Several simulation examples of power system signals with a time-varying amplitude and phase parameters are given by which the robustness and accuracy of the new algorithm are confirmed.

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“…To remove the DC component, an enhanced Fourier Transform is applied in [15]. Moreover, an energy operator based on a shift angle is proposed in [16] to estimate the amplitude during dynamic conditions. Recursive Wavelet Transform (RWT) is another method used for extracting amplitude and phase of signals [17].…”

Section: Introductionmentioning

confidence: 99%

Real Time Phasor Estimation Based on Recursive Prony with Several Channels of One PMU

Khodaparast

Fosso

Molinas

2018

2018 IEEE PES Innovative Smart Grid Technologies Conference Europe (ISGT-Europe)

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Phasor estimation is crucial for monitoring and control of smart power systems. The classical signal processing method named Prony has been used for estimating the parameters of measured signals such as frequency, damping factor and phasor. To reduce the impact of noise on the parameters estimated by Prony, multi-channel Prony has been previously explored and presented in the literature. The basic approach for multi-channel Prony is a generalized solution, in which new rows are added to matrices for every channel. Since the generalized multi-channel Prony is time-consuming, a new method based on recursive solution is proposed in this paper to make it suitable for real-time application. Here, several channels of one Phasor Measurement Unit (PMU) are used to estimate the phasor of current/voltage in a recursive pattern, in which the phasor is computed recursively over time based on previously calculated estimates and new measurements. The proposed method is compared with three other solutions for multi-channel Prony: a) data fusion which is based on the Kalman filter concept, b) an alternating direction method of multipliers (ADMM), and c) a consensus update approach which is based on an iterative procedure. Simulation results demonstrate the ability of the proposed method for real-time phasor estimation, both in terms of maintaining the accuracy and reducing computation time.

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A dynamic phasor estimation algorithm based on angle-shifted energy operator

Cited by 12 publications

References 9 publications

Dynamic synchrophasor estimation by Taylor–Prony method in harmonic and non‐harmonic conditions

Dynamic synchrophasor estimation by Taylor–Prony method in harmonic and non‐harmonic conditions

Dynamic Phasors Estimation Based on Taylor-Fourier Expansion and Gram Matrix Representation

Real Time Phasor Estimation Based on Recursive Prony with Several Channels of One PMU

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