Three-Phase Harmonic and Sequence Components Measurement Method Based on mSDFT and Variable Sampling Period Technique

Carugati, Ignacio; Orallo, Carlos Martin; Donato, Patricio G.; Maestri, Sebastian; Strack, Jorge Luis; Carrica, Daniel

doi:10.1109/tim.2016.2552679

Cited by 29 publications

(9 citation statements)

References 37 publications

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“…The amplitudes and phases of symmetrical components can be estimated by (18)- (23). (1) x k (2) x k (3) x k (4) x k (5) x k (6) ] (17)…”

Section: Model Of Symmetrical Component Estimationmentioning

confidence: 99%

“…Discrete Fourier transform (DFT) is a popular nonparametric method used for frequency estimation, but this method suffers from inaccuracies due to the presence of system noise, inter-and intra-harmonics and spectral leakage [2], [3]. However, the errors due to the effect of spectral leakage and picket-fence are mitigated by modulated sliding discrete Fourier transform (msDFT) which is proposed for the measurement of harmonic and sequence components [4]. Reference [5] proposes an adaptive method using DFT and online algorithm, which is based on converting signal into phasor for symmetrical component estimation.…”

Section: Introductionmentioning

confidence: 99%

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Adaptive Three-phase Estimation of Sequence Components and Frequency Using H∞ Filter Based on Sparse Model

Subudhi¹,

Sahoo²,

Mishra³

2020

Journal of Modern Power Systems and Clean Energy

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The estimation of sequence or symmetrical components and frequency in three-phase unbalanced power system is of great importance for protection and relay. This paper proposes a new H ∞ filter based on sparse model to track the sequence components and the frequency of three-phase unbalanced power systems. The inclusion of sparsity improves the error convergence behavior of estimation model and hence short-duration non-stationary PQ events can easily be tracked in the time domain. The proposed model is developed using l 1 norm penalty in the cost function of H ∞ filter, which is quite suitable for estimation across all the three phases of an unbalanced system. This model uses real state space modeling across three phases to estimate amplitude and phase parameters of sequence components. However, frequency estimation uses complex state space modeling and Clarke transformation generates a complex measurement signal from the unbalanced three-phase voltages. The state vector used for frequency estimation consists of two state variables. The proposed sparse model is tested using distorted three-phase signals from IEEE-1159-PQE database and the data generated from experimental laboratory setup. The analysis of absolute and mean square error is presented to validate the performance of the proposed model.

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“…The amplitudes and phases of symmetrical components can be estimated by (18)- (23). (1) x k (2) x k (3) x k (4) x k (5) x k (6) ] (17)…”

Section: Model Of Symmetrical Component Estimationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Adaptive Three-phase Estimation of Sequence Components and Frequency Using H∞ Filter Based on Sparse Model

Subudhi¹,

Sahoo²,

Mishra³

2020

Journal of Modern Power Systems and Clean Energy

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“…But these methods suffer from inaccuracies due to system noise and leakage effects. MSDFT proposed by Carugati et al [7] eliminates the error due to spectral leakage and but still there is limitation during highly non stationary events. Alternately parametric approaches which assumes the signal satisfies a mathematical model with known functional can be used as robust techniques for harmonic estimation.…”

Section: Brief Literature For Adaptive Harmonic Estimationmentioning

confidence: 99%

“…• Update the weight vector asŵ n ðÞ¼ŵnÀ 1 ðÞ þ kn ðÞ en ðÞ (7) where the relation between gain k with covariance parameter vector is • Using matrix inversion lemma, the updated covariance matrix is given as Pn ðÞ¼λ À1 PnÀ 1 ðÞ À λ À1 kn ðÞ X T n ðÞ PnÀ 1 ðÞ (10)…”

Section: Recursive Least Square (Rls) For Harmonic Estimationmentioning

confidence: 99%

Power System Harmonics Estimation Using Adaptive Filters

Sahoo¹,

Subudhi²

2018

Compendium of New Techniques in Harmonic Analysis

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Accurate estimation and tracking of power quality disturbances requires efficient adaptive model based techniques which should have elegant structures to be implemented in practical systems. Adaptive filters have been used as a popular estimator to track the timevarying power quality events, but the performance is limited due to higher order nonlinearity exists in system dynamics. Harmonics generated in the generation and distribution system are one of the critical power quality issues to be addressed properly. Least mean square (LMS) and recursive least square (RLS) based adaptive estimation models can be used to track the harmonic amplitudes and phases in practical power system applications. Due to time varying nature of harmonic parameters, modifications have to be incorporated in adaptive filters based modeling during estimation of the harmonic parameters and decaying DC components present in the distorted power signals. Volterra expansions can be combined with the adaptive filtering to improve the estimation accuracy and enhance the convergence rate of the estimation model.

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“…In the past decade, a large number of effective estimation methods for grid voltage parameters [3–23] including positive‐ and negative‐sequence voltage components and their frequency, amplitudes and phase angles have been proposed such as Kalman filtering [3, 4], discrete Fourier transform [5, 6], zero‐crossing detection [7], adaptive notch filter [8–11], least‐squares estimation [14] and phase‐locked loop (PLL) [15–23].…”

Section: Introductionmentioning

confidence: 99%

Global accurate estimation of positive‐ and negative‐sequence voltage components for variable frequency AC systems

Dai

Mwaniki

et al. 2018

IET Power Electronics

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In this study, a global observer-based method is proposed for variable frequency AC systems of more electric aircraft (MEA) to estimate positive-and negative-sequence components and their parameters. Looking at the measurable grid voltage as a parameterised system containing the unknown coefficient-voltage frequency, a mathematical model based on threephase grid voltage is established. According to the obtained dynamic model, a global observer is developed to achieve the estimation of positive-and negative-sequence voltage components and their frequency, amplitudes and phase angles with zero steady-state error. Different from most existing methods which are developed for constant frequency AC grids and only have local convergence, a Lyapunov-based argument proof provided in this study shows that the proposed observer is able to achieve global asymptotic convergence in theoretical sound. Also, it ensures that the addressed global observer method has a better stability and faster dynamic performance for variable frequency AC grids of MEA. Both simulations and experimental results are provided to validate the proposed global observer scheme.

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Three-Phase Harmonic and Sequence Components Measurement Method Based on mSDFT and Variable Sampling Period Technique

Cited by 29 publications

References 37 publications

Adaptive Three-phase Estimation of Sequence Components and Frequency Using H∞ Filter Based on Sparse Model

Adaptive Three-phase Estimation of Sequence Components and Frequency Using H∞ Filter Based on Sparse Model

Power System Harmonics Estimation Using Adaptive Filters

Global accurate estimation of positive‐ and negative‐sequence voltage components for variable frequency AC systems

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