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Title: A Clarke Transformation-Based DFT Phasor and Frequency Algorithm for Wide Frequency Range

Abstract

Despite its wide applications in power grid monitoring, the classic discrete Fourier transform (DFT)-based synchrophasor estimation algorithms suffer from significant errors when the power system operates under off-nominal frequency conditions. This phenomenon is caused by spectral leakage of DFT and becomes even more severe for single-phase synchrophasor estimation. To address this issue, a theory to eliminate the spectral leakage-caused errors is proposed and a Clarke transformation-based DFT synchrophasor estimation algorithm is proposed to implement the theory in this paper. The Clarke transformation constructs a second signal that has exactly 90° phase angle difference from the original single-phase input signal and helps eliminate the estimation errors for a wide frequency range. The proposed algorithm is tested under the conditions required in the phasor measurement unit standard C37.118.1-2011 and C37.118.1a-2014, as well as the harmonic and noise conditions not required in the standard to verify its performance. More importantly, the idea of using Clarke transformation can be used for other DFT-based synchrophasor algorithms in order to achieve higher synchrophasor measurement accuracy under dynamic conditions. An example is presented at last to demonstrate the expandability of the proposed idea.

Authors:
ORCiD logo [1];  [1];  [1]
  1. Univ. of Tennessee, Knoxville, TN (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1474555
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
IEEE Transactions on Smart Grid
Additional Journal Information:
Journal Volume: 9; Journal Issue: 1; Journal ID: ISSN 1949-3053
Publisher:
IEEE
Country of Publication:
United States
Language:
English
Subject:
24 POWER TRANSMISSION AND DISTRIBUTION

Citation Formats

Zhan, Lingwei, Liu, Yong, and Liu, Yilu. A Clarke Transformation-Based DFT Phasor and Frequency Algorithm for Wide Frequency Range. United States: N. p., 2018. Web. doi:10.1109/TSG.2016.2544947.
Zhan, Lingwei, Liu, Yong, & Liu, Yilu. A Clarke Transformation-Based DFT Phasor and Frequency Algorithm for Wide Frequency Range. United States. doi:10.1109/TSG.2016.2544947.
Zhan, Lingwei, Liu, Yong, and Liu, Yilu. Thu . "A Clarke Transformation-Based DFT Phasor and Frequency Algorithm for Wide Frequency Range". United States. doi:10.1109/TSG.2016.2544947. https://www.osti.gov/servlets/purl/1474555.
@article{osti_1474555,
title = {A Clarke Transformation-Based DFT Phasor and Frequency Algorithm for Wide Frequency Range},
author = {Zhan, Lingwei and Liu, Yong and Liu, Yilu},
abstractNote = {Despite its wide applications in power grid monitoring, the classic discrete Fourier transform (DFT)-based synchrophasor estimation algorithms suffer from significant errors when the power system operates under off-nominal frequency conditions. This phenomenon is caused by spectral leakage of DFT and becomes even more severe for single-phase synchrophasor estimation. To address this issue, a theory to eliminate the spectral leakage-caused errors is proposed and a Clarke transformation-based DFT synchrophasor estimation algorithm is proposed to implement the theory in this paper. The Clarke transformation constructs a second signal that has exactly 90° phase angle difference from the original single-phase input signal and helps eliminate the estimation errors for a wide frequency range. The proposed algorithm is tested under the conditions required in the phasor measurement unit standard C37.118.1-2011 and C37.118.1a-2014, as well as the harmonic and noise conditions not required in the standard to verify its performance. More importantly, the idea of using Clarke transformation can be used for other DFT-based synchrophasor algorithms in order to achieve higher synchrophasor measurement accuracy under dynamic conditions. An example is presented at last to demonstrate the expandability of the proposed idea.},
doi = {10.1109/TSG.2016.2544947},
journal = {IEEE Transactions on Smart Grid},
issn = {1949-3053},
number = 1,
volume = 9,
place = {United States},
year = {2018},
month = {3}
}

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