“…2) leak into the positive frequency range and bias the DFT bins used to perform the interpolation (i.e., assumption 3 is not respected). This effect, also known as spectral interference has demonstrated to considerably corrupt the IpDFT estimations when applied to SE [12]. To cope with these conditions, in [7] a technique that mitigates the effect of the spectral leakage produced by the negative image of the spectrum is presented.…”
Section: Spectral Leakage Effects On the Ipdftmentioning
confidence: 99%
“…Several algorithms that compensate the spectral interference generated by the image component of the main tone have been presented in the literature, the majority relying on the IpDFT [7]- [12]. Sine-fitting techniques [13], as well as compressive sensing [14] and lookup tables [15] have been investigated too.…”
Abstract-We present a single synchrophasor estimation (SE) algorithm that is simultaneously compliant with both P and M Phasor Measurement Unit (PMU) performance classes. The method, called iterative-Interpolated DFT (i-IpDFT), iteratively estimates and compensates the effects of the spectral interference produced by both a generic interfering tone, harmonic or interharmonic, and the negative image of the fundamental tone. We define the 3-points i-IpDFT technique for cosine and Hanning window functions and we propose a procedure to select the iIpDFT parameters. We assess the performance of the i-IpDFT with respect to all the operating conditions defined in the IEEE Std. C37.118 for P and M-class PMUs. We demonstrate that the proposed SE method is simultaneously compliant with all the accuracy requirements of both PMU performance classes.
“…2) leak into the positive frequency range and bias the DFT bins used to perform the interpolation (i.e., assumption 3 is not respected). This effect, also known as spectral interference has demonstrated to considerably corrupt the IpDFT estimations when applied to SE [12]. To cope with these conditions, in [7] a technique that mitigates the effect of the spectral leakage produced by the negative image of the spectrum is presented.…”
Section: Spectral Leakage Effects On the Ipdftmentioning
confidence: 99%
“…Several algorithms that compensate the spectral interference generated by the image component of the main tone have been presented in the literature, the majority relying on the IpDFT [7]- [12]. Sine-fitting techniques [13], as well as compressive sensing [14] and lookup tables [15] have been investigated too.…”
Abstract-We present a single synchrophasor estimation (SE) algorithm that is simultaneously compliant with both P and M Phasor Measurement Unit (PMU) performance classes. The method, called iterative-Interpolated DFT (i-IpDFT), iteratively estimates and compensates the effects of the spectral interference produced by both a generic interfering tone, harmonic or interharmonic, and the negative image of the fundamental tone. We define the 3-points i-IpDFT technique for cosine and Hanning window functions and we propose a procedure to select the iIpDFT parameters. We assess the performance of the i-IpDFT with respect to all the operating conditions defined in the IEEE Std. C37.118 for P and M-class PMUs. We demonstrate that the proposed SE method is simultaneously compliant with all the accuracy requirements of both PMU performance classes.
“…Accurate waveform frequency estimates can be achieved by using the classical Interpolated Discrete Fourier Transform (IpDFT) algorithm [15]- [18], which is simple to apply and very fast to perform. This algorithm returns the parameters of each component of a multifrequency signal by compensating both spectral leakage and picket-fence effects by using windowing and evaluating the ratio between the two largest DFT samples of the corresponding spectrum peak, respectively.…”
-One of the most accurate phasor estimation procedures recently proposed in the literature is the so-called Taylor Weighted Least Squares (TWLS) algorithm, which relies on a dynamic phasor model of an electrical waveform at nominal frequency. In this paper an extension of the TWLS algorithm (called Generalized TWLS, or GTWLS, algorithm)
“…In engineering practice, noise properties usually are more important than systematic errors. The accuracy could be improved with longer records as well, but the cost is increased response time [16]. As a result, we often have to make a tradeoff between the estimation accuracy and the overall system responsiveness.…”
This paper focuses on the problem of frequency estimation of noise-contaminated sinusoidal. A basic tool to solve this problem is the interpolated discrete Fourier transform (DFT) algorithms, in which the influences of the spectral leakage from negative frequency are often neglected, resulting in significant errors in estimation when the signals contained small cycles. In this paper, analytic expressions of the interference due to the image component are derived and its influences on the traditional two-point interpolated DFT algorithms are analyzed. Based on the achieved expressions, the interpolated DFT algorithms are generalized and a novel frequency estimator with high image component interference rejection is proposed. Simulation results show that the frequency errors returned by the new algorithm are very small even though only one or two cycles are obtained. Comparative studies indicate that the new algorithm also has a good performance in the noise condition. With the advantages of high precision and strong robustness against additive noise, the proposed algorithm is a good choice for frequency estimation when the negative frequency interference is the dominant error source.
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