Finite Time Frequency Estimation for Multi-Sinusoidal Signals

Vediakova, Anastasiia O.; Vedyakov, Alexey A.; Pyrkin, Anton A.; Bobtsov, Alexey A.; Gromov, Vladislav S.

doi:10.1016/j.ejcon.2021.01.004

Cited by 13 publications

(15 citation statements)

References 17 publications

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“…Note that instead of combining ( 6) and ( 7), two separate frequency estimators can be designed by writing these equations into the linear regression form (8). Then, by taking an average of the estimated frequencies, the effect of noise can be reduced.…”

Section: Signal Modeling and Estimator Designmentioning

confidence: 99%

“…From the brief literature review, it can be found that there is a demand for a simple frequency estimator that can handle various grid abnormalities without requiring additional preand or post-filtering stages. One such simple solution has been proposed in [8], where the unknown frequency estimation problem has been solved through linear regression. However, it works only for single-phase cases and can not handle DC offset.…”

Section: Introductionmentioning

confidence: 99%

“…However, it works only for single-phase cases and can not handle DC offset. In this work, we have applied the idea of [8] to estimate the unknown frequency of an unbalanced three-phase grid and our proposed approach can handle DC offset without any additional filtering stages.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Simple Frequency Estimator for Power Systems

Ahmed

Ushirobira²,

Efimov³

2021

IEEE Trans. Instrum. Meas.

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Fast and accurate frequency estimation of an unbalanced three-phase power system in the presence of measurement offset is a challenging task. A simple to implement and tune method is proposed in this work through a delay-based linearregression framework. Using two challenging scenarios, we verify the performance of our procedure in the presence of severe grid abnormalities, including voltage unbalance, harmonics, frequency jump, and DC offset. Comparative hardware-in-the-loop experimental results demonstrate the suitability of the proposed approach.

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Section: Signal Modeling and Estimator Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Simple Frequency Estimator for Power Systems

Ahmed

Ushirobira²,

Efimov³

2021

IEEE Trans. Instrum. Meas.

View full text Add to dashboard Cite

show abstract

“…Recently several finite-time convergent algorithms [19]- [21] have been proposed in the literature. Nonetheless, these techniques are only available in continuous time.…”

Section: Introductionmentioning

confidence: 99%

“…Nonetheless, these techniques are only available in continuous time. Out of these techniques, the results proposed in [19] are interesting. In that work, a linear regression model of an unbiased harmonic signal is obtained.…”

Section: Introductionmentioning

confidence: 99%

On Biased Harmonic Signal Estimation: Application to Electric Power Grid Monitoring

Ahmed

Ushirobira

Efimov

2022

IEEE Trans. Contr. Syst. Technol.

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Parametric estimation of a biased harmonic signal is a significant technical challenge for many engineering applications. Such a problem is particularly important for electric utility grid-connected power electronic converters. This paper utilizes a linear regression model of the signal to solve this interesting practical problem. A continuoustime dynamic regressor extension and mixing (DREM) based approach is then applied for parameter estimation. For practical implementation, continuous-time estimators are discretized using implicit and explicit Euler methods. We then prove that the implicit discretization can achieve fixed-time convergence for the unknown frequencies estimation. Thanks to the estimated frequencies, another DREM-based linear regression problem is solved for the parameter estimation purpose. The overall order of the proposed technique is the same as the number of unknown parameters, making the estimator suitable for real-time implementation in embedded devices. Theoretical results are validated through extensive comparative experimental studies.

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Constructing annihilators for parameter estimation in nonlinearly parameterized signals

Ushirobira,

Efimov

2023

IFAC-PapersOnLine

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Finite Time Frequency Estimation for Multi-Sinusoidal Signals

Cited by 13 publications

References 17 publications

A Simple Frequency Estimator for Power Systems

A Simple Frequency Estimator for Power Systems

On Biased Harmonic Signal Estimation: Application to Electric Power Grid Monitoring

Constructing annihilators for parameter estimation in nonlinearly parameterized signals

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