Multiple-Resonator-Based Power System Taylor-Fourier Harmonic Analysis

Kušljević, M.D.; Tomić, Josif

doi:10.1109/tim.2014.2345591

Cited by 29 publications

(31 citation statements)

References 22 publications

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“…The hardware features of the following characteristics were used: Intel(R) Core(TM) i5-4460, 3.2GHz, 16 GB RAM. The proposed modification in the algorithm described here showed that the time required for the calculation was significantly less than in other methods based on the least squares method [24,27], and approaching the speed by methods [22,23,[39][40][41].…”

Section: Computational Complexity and Simulation Timementioning

confidence: 97%

“…The RMS error belongs to the range of 3×10 −3 and 8×10 −3 for proposed estimation method. This error is related to elimination of the third derivative term of the Taylor expansion in phasor estimation process, and it is much better than error estimated in [16,17,[22][23][24]27]. where is the real (measured) value of sample and̂is the recomputed sample obtained by the estimated dynamic phasor.…”

Section: Error Boundsmentioning

confidence: 99%

“…The Shank method is another method for estimating a dynamic phasor, using the least square and consecutive delays of the unit response system [21]. The algorithm [22] for TFT (Taylor-Fourier transform) harmonic analysis uses recursive multiple-resonator-based computational techniques, which enable the reduction of both the computational cost and the memory requirements of the algorithm.…”

Section: Introductionsmentioning

confidence: 99%

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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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Section: Computational Complexity and Simulation Timementioning

confidence: 97%

Section: Error Boundsmentioning

confidence: 99%

Section: Introductionsmentioning

confidence: 99%

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

Petrović

Damljanović

2018

Mathematical Problems in Engineering

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“…In [20,21], a simple and effective modeling approach has been described to estimate conducted differential mode EMI sources from a boost-derived converter, such as the H-bridge converter. The approach, based on the Laplace transform, has been used to derive Equation (2) which represents the EMI source for a single-phase H-bridge operated under unipolar or bipolar control strategies.…”

Section: Ac Side Differential Mode Signature Modelingmentioning

confidence: 99%

DC-AC Isolated Power Converter Array. Focus on Differential Mode Conducted EMI

et al. 2019

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This paper introduces the implementation of a DC–AC step up isolated converter from associations of bidirectional Conversion Standard Cells (CSCs). The designed multi-cell converter is an array of standardized converter cells. It is described and then compared to a reference converter with respect to differential mode conducted electro-magnetic interference (EMI). The paper outlines the motivation for developing a generic multi-cell approach before underlining the benefits from the point of view of conducted EMI when implementing power converter arrays (PCAs). In particular, it is shown that in PCAs, the differential mode (DM) EMI filter can advantageously utilize distributed CSCs, making it possible to use very low value AC inductors to filter the AC current ripple. Experimental results are provided to validate the analysis carried out in the paper.

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“…An overview of modern algorithms for harmonic estimation in presence of wide frequency variation is given in [5]. All of them are of filter type and require the usage of floating point numeric processor, high resolution A/D converters and microprocessor of great processing power in order to execute these algorithms in real time.…”

Section: Introductionmentioning

confidence: 99%

Grid fundamental harmonic measurement in presence of Gaussian frequency deviation using 2-bit flash A/D converter

et al. 2017

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Original scientific paper The paper proposes a novel approach to the measurement of the power grid voltage and/or current fundamental harmonic, using stochastic digital measurement method (SDMM) and 2-bit flash A/D converters. The power grid frequency variation in the European interconnection has been found as Gaussian. The influence of the frequency disturbance on the results of fundamental harmonic measurements is examined in detail. As theoretical analyses are extremely complex due to a high nonlinearity and stochastic nature of the problem, simulation analysis is employed as the primary method for fast testing and confirmation of the paper hypothesis. The results of realistic simulations give the measurement uncertainties below 0,01 % and 0,013 %, for the measured grid voltage and current, respectively. Experimental validation has been carried out by comparison of the commercial instrument measurements and the measurements of SDMM based prototype instrument. It has been found that results are in accordance. Keywords: digital measurements; fundamental harmonic measurement; power grid; simulation; stochastic processes Mjerenje osnovnog harmonika u mreži uz prisustvo Gaussovog poremećaja frekvencije uporabom 2-bitnih flash A/D konverteraIzvorni znanstveni članak U radu se predlaže novi pristup mjerenju osnovnog harmonika mrežnog napona i/ili struje, pomoću stohastičke digitalne mjerne metode i 2-bitnih flash A/D konvertera. Utvrđeno je da je varijacija mrežne frekvencije u Europskoj interkonekciji Gaussova. Podrobno je ispitan utjecaj poremećaja frekvencije na rezultate mjerenja osnovnog harmonika. Kako su teorijske analize iznimno složene zbog velike nelinearnosti i stohastičke prirode problema, simulacijska analiza se koristi kao primarna metoda za brzo ispitivanje i potvrđivanje hipoteze rada. Rezultati realističnih simulacija daju mjerne nesigurnosti ispod 0,01 % i 0,013 % za mjerene mrežne napone i struje, respektivno. Provedena je eksperimentalna provjera, usporedbom mjerenja komercijalnog instrumenta i mjerenja prototipa instrumenta koji se temelji na SDMM metodi. Utvrđeno je da su rezultati u skladu.

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Multiple-Resonator-Based Power System Taylor-Fourier Harmonic Analysis

Cited by 29 publications

References 22 publications

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

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

DC-AC Isolated Power Converter Array. Focus on Differential Mode Conducted EMI

Grid fundamental harmonic measurement in presence of Gaussian frequency deviation using 2-bit flash A/D converter

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