A method for synchronized harmonic phasor measurement based on
            <scp>hardware‐enhanced</scp>
            Fast Fourier Transform

Grando, Flavio Lori; Denardin, Gustavo Weber; Moreto, Miguel; Lazzaretti, André E.; Neto, Hugo Vieira

doi:10.1002/2050-7038.12405

Cited by 4 publications

(5 citation statements)

References 30 publications

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“…In this section, the experimental results obtained with the proposed algorithm are presented and discussed. Also, an algorithm based on the DFT 2 is used as a reference to validate the obtained results. The proposed and the reference algorithm were tested accordingly to the IEEE standards, which include: the steady‐state condition, dynamic condition, and step response.…”

Section: Resultsmentioning

confidence: 99%

“…Reference 2 shows that it is possible to calculate frequency and ROCOF based on the estimated phase. To do that, first, the preliminary estimated frequency

{\overset{false^}{f}}_{k}^{p}

is calculated according to Equation (5),

{\overset{false^}{f}}_{k}^{p} = f_{n} + \frac{1}{2 π} \frac{{\overset{false^}{ϕ}}_{k}^{+} - {\overset{false^}{ϕ}}_{k - 1}^{+}}{Δ t}

where, f n is the nominal grid frequency in Hertz,

{\overset{false^}{ϕ}}_{k}^{+}

and

{\overset{false^}{ϕ}}_{k - 1}^{+}

represent the current and previous measurement angles in radians, and Δt is the time interval between synchrophasor measurements in seconds.…”

Section: Modular Synchrophasor Estimation Algorithmmentioning

confidence: 99%

“…As shown in Reference 2, this approach presents systematic errors in ramp input signal situations. Fortunately, a more accurate value of frequency (

{\overset{false^}{f}}_{k}^{f}

) can be obtained by adding a correction term based on the ROCOF, as presented in Equation (7).…”

Section: Modular Synchrophasor Estimation Algorithmmentioning

confidence: 99%

“…Synchrophasor measurement algorithms originated from the Symmetrical Component Distance Relay (SCDR) by adding a timestamp based on the coordinated universal time (UTC) to the discrete Fourier transform (DFT) estimation of a positive‐sequence phasor 1 . Its purpose was to provide a dynamic characterization of the electrical power system by measuring voltage and current with time synchronization 2 . However, the DFT technique has known disadvantages, such as the spectrum leakage effect, which leads to incorrect phasor estimations at not nominal frequencies 3 .…”

Section: Introductionmentioning

confidence: 99%

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A PID SRF‐PLL based algorithm for positive‐sequence synchrophasor measurements

Carvalho

Denardin

Cardoso

et al. 2021

Int Trans Electr Energ Syst

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Summary Most of the proposed algorithms for synchrophasor estimation are based on the Discrete Fourier Transform (DFT). However, this technique has well‐known limitations, such as the leakage effect. Alternatively, this paper presents a positive‐sequence synchrophasor measurement algorithm based on a Synchronous Reference Frame Phase‐Locked Loop (SRF‐PLL). The algorithm is modular and consists of four stages. The first one is the abc‐dq transform that, with the aid of the second stage, a Finite Impulse Response (FIR) provides the positive‐sequence of the grid voltages. The filter also helps to improve the signal‐to‐noise ratio. This filter class was chosen due to its characteristic of linear phase and constant group delay to avoid unwanted phase distortions at the measurements. The third stage is an SRF‐PLL based on a PID controller that estimates the amplitude and phase of the grid voltage's positive‐sequence component and the grid frequency. By assessing the dynamic condition tests, it was observed that the PLL could not comply with all the IEEE standard requirements. Therefore, a fourth stage was included to calculate the frequency, and Rate of Change of Frequency (ROCOF) based on the estimated positive‐sequence phase. Experimental results obtained with a test platform shown that the proposed algorithm complies with all IEEE C37.118.1‐2011 and C37.118.1a‐2014 standard requirements.

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Section: Resultsmentioning

confidence: 99%

“…Reference 2 shows that it is possible to calculate frequency and ROCOF based on the estimated phase. To do that, first, the preliminary estimated frequency

{\overset{false^}{f}}_{k}^{p}

is calculated according to Equation (5),

{\overset{false^}{f}}_{k}^{p} = f_{n} + \frac{1}{2 π} \frac{{\overset{false^}{ϕ}}_{k}^{+} - {\overset{false^}{ϕ}}_{k - 1}^{+}}{Δ t}

where, f n is the nominal grid frequency in Hertz,

{\overset{false^}{ϕ}}_{k}^{+}

and

{\overset{false^}{ϕ}}_{k - 1}^{+}

represent the current and previous measurement angles in radians, and Δt is the time interval between synchrophasor measurements in seconds.…”

Section: Modular Synchrophasor Estimation Algorithmmentioning

confidence: 99%

“…As shown in Reference 2, this approach presents systematic errors in ramp input signal situations. Fortunately, a more accurate value of frequency (

{\overset{false^}{f}}_{k}^{f}

) can be obtained by adding a correction term based on the ROCOF, as presented in Equation (7).…”

Section: Modular Synchrophasor Estimation Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A PID SRF‐PLL based algorithm for positive‐sequence synchrophasor measurements

Carvalho

Denardin

Cardoso

et al. 2021

Int Trans Electr Energ Syst

Self Cite

View full text Add to dashboard Cite

show abstract

“…Due to the expansion of non-linear loads, it is necessary to evaluate the harmonic state of the system. In some studies conducted in recent years, the PMU concept has been extended to harmonic analysis and measurement of harmonic phasors of the system [30][31][32]. In these studies, the phasor information for each harmonic component is provided over time.…”

Section: Implementation Of the Proposed Phasor Estimation Modelmentioning

confidence: 99%

A novel approach for single and combined power quality disturbances detection using fundamental and harmonic phasors estimation model

Samadinasab

Jalilian

2022

IET Generation Trans & Dist

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The growing use of non‐linear loads is one of the main reasons for harmonic distortions in distribution systems. Power quality disturbances have caused improper performance of electrical equipment and have created many technical and economic problems for industries and customers. One approach to overcome these problems and also the correct detection of PQ disturbances is power quality monitoring (PQM). Measurement and estimation are two essential tools to understand and investigate PQ problems in distribution networks. Here, a new estimation model is used to simultaneously extract the fundamental and harmonic phasors information of the system. In other words, the proposed estimation model has been used to access system‐level data. Also, the recursive variational mode extraction (RVME) approach efficiency has been investigated for detecting power quality disturbances (PQDs). Finally, to validate the effectiveness of the proposed PQDs detection method, six different scenarios of disturbances are investigated. The IEEE 13‐bus and IEEE 34‐bus standard distribution test networks are used to evaluate the efficiency of the proposed method. Also, the real‐time PQ disturbances are used for validating the proposed PQDs detection method. Results obtained demonstrate the efficiency and high accuracy of the proposed approach in correctly diagnosing real‐time PQ disturbances.

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