Publication
Iterative-interpolated DFT for Synchrophasor Estimation in M-class Compliant PMUs
Abstract
The Interpolated Discrete Fourier Transform (IpDFT) represents the current state-of-the-art about DFT-based synchrophasor estimation (SE) algorithms for P-class Phasor Measurement Units (PMUs). However, the IpDFT is not robust against the interference produced by interharomonics (i.e., components characterized by frequencies that are not integer multiples of the fundamental one) and, therefore, it is not suitable for M-class PMUs. We propose an iterative-IpDFT (i-IpDFT) SE algorithm that iteratively compensates the effects of the spectral interference produced by both the interharmonic tone and the negative image of the fundamental tone. We assess the performance of the i-IpDFT with respect to all the operating conditions defined by the IEEE Std. C37.118-2011 for M-class PMUs, and demonstrate that the method is compliant with all the accuracy requirements.
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Related concepts (20)
Phasor measurement unit
A phasor measurement unit (PMU) is a device used to estimate the magnitude and phase angle of an electrical phasor quantity (such as voltage or current) in the electricity grid using a common time source for synchronization. Time synchronization is usually provided by GPS or IEEE 1588 Precision Time Protocol, which allows synchronized real-time measurements of multiple remote points on the grid. PMUs are capable of capturing samples from a waveform in quick succession and reconstructing the phasor quantity, made up of an angle measurement and a magnitude measurement.
Fast Fourier transform
A fast Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT) of a sequence, or its inverse (IDFT). Fourier analysis converts a signal from its original domain (often time or space) to a representation in the frequency domain and vice versa. The DFT is obtained by decomposing a sequence of values into components of different frequencies. This operation is useful in many fields, but computing it directly from the definition is often too slow to be practical.
Non-uniform discrete Fourier transform
In applied mathematics, the nonuniform discrete Fourier transform (NUDFT or NDFT) of a signal is a type of Fourier transform, related to a discrete Fourier transform or discrete-time Fourier transform, but in which the input signal is not sampled at equally spaced points or frequencies (or both). It is a generalization of the shifted DFT. It has important applications in signal processing, magnetic resonance imaging, and the numerical solution of partial differential equations.
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