A Recursive Least Squares Error Method Aided by Variable-Windowed Short-Time Discrete Fourier Transform for Frequency Tracking in Smart Grid

Hui LI; Liang YUAN

doi:10.1587/transfun.E98.A.721

A Recursive Least Squares Error Method Aided by Variable-Windowed Short-Time Discrete Fourier Transform for Frequency Tracking in Smart Grid

Hui LI, Liang YUAN

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Least squares error (LSE) method adopted recursively can be used to track the frequency and amplitude of signals in steady states and kinds of non-steady ones in power system. Taylor expansion is used to give another version of this recursive LSE method. Aided by variable-windowed short-time discrete Fourier transform, recursive LSEs with and without Taylor expansion converge faster than the original ones in the circumstance of off-nominal input singles. Different versions of recursive LSE were analyzed under various states, such as signals of off-nominal frequency with harmonics, signals with step changes, signals modulated by a sine signal, signals with decaying DC offset and additive Gaussian white noise. Sampling rate and data window size are two main factors influencing the performance of method recursive LSE in transient states. Recursive LSE is sensitive to step changes of signals, but it is in-sensitive to signals' modulation and singles with decaying DC offset and noise.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E98-A No.2 pp.721-734

Publication Date: 2015/02/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1587/transfun.E98.A.721

Type of Manuscript: PAPER

Category: Measurement Technology

Authors

Hui LI
College of Information Science and Technology of Hainan University,Zhejiang University
Liang YUAN
Haisum Engineering CO., LTD.

Keyword

smart grid, frequency tracking, recursive algorithm, least squares error, short-time discrete Fourier transform, variable window

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Hui LI, Liang YUAN, "A Recursive Least Squares Error Method Aided by Variable-Windowed Short-Time Discrete Fourier Transform for Frequency Tracking in Smart Grid" in IEICE TRANSACTIONS on Fundamentals, vol. E98-A, no. 2, pp. 721-734, February 2015, doi: 10.1587/transfun.E98.A.721.
Abstract: Least squares error (LSE) method adopted recursively can be used to track the frequency and amplitude of signals in steady states and kinds of non-steady ones in power system. Taylor expansion is used to give another version of this recursive LSE method. Aided by variable-windowed short-time discrete Fourier transform, recursive LSEs with and without Taylor expansion converge faster than the original ones in the circumstance of off-nominal input singles. Different versions of recursive LSE were analyzed under various states, such as signals of off-nominal frequency with harmonics, signals with step changes, signals modulated by a sine signal, signals with decaying DC offset and additive Gaussian white noise. Sampling rate and data window size are two main factors influencing the performance of method recursive LSE in transient states. Recursive LSE is sensitive to step changes of signals, but it is in-sensitive to signals' modulation and singles with decaying DC offset and noise.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E98.A.721/_p

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@ARTICLE{e98-a_2_721,
author={Hui LI, Liang YUAN, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Recursive Least Squares Error Method Aided by Variable-Windowed Short-Time Discrete Fourier Transform for Frequency Tracking in Smart Grid},
year={2015},
volume={E98-A},
number={2},
pages={721-734},
abstract={Least squares error (LSE) method adopted recursively can be used to track the frequency and amplitude of signals in steady states and kinds of non-steady ones in power system. Taylor expansion is used to give another version of this recursive LSE method. Aided by variable-windowed short-time discrete Fourier transform, recursive LSEs with and without Taylor expansion converge faster than the original ones in the circumstance of off-nominal input singles. Different versions of recursive LSE were analyzed under various states, such as signals of off-nominal frequency with harmonics, signals with step changes, signals modulated by a sine signal, signals with decaying DC offset and additive Gaussian white noise. Sampling rate and data window size are two main factors influencing the performance of method recursive LSE in transient states. Recursive LSE is sensitive to step changes of signals, but it is in-sensitive to signals' modulation and singles with decaying DC offset and noise.},
keywords={},
doi={10.1587/transfun.E98.A.721},
ISSN={1745-1337},
month={February},}

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TY - JOUR
TI - A Recursive Least Squares Error Method Aided by Variable-Windowed Short-Time Discrete Fourier Transform for Frequency Tracking in Smart Grid
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 721
EP - 734
AU - Hui LI
AU - Liang YUAN
PY - 2015
DO - 10.1587/transfun.E98.A.721
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E98-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 2015
AB - Least squares error (LSE) method adopted recursively can be used to track the frequency and amplitude of signals in steady states and kinds of non-steady ones in power system. Taylor expansion is used to give another version of this recursive LSE method. Aided by variable-windowed short-time discrete Fourier transform, recursive LSEs with and without Taylor expansion converge faster than the original ones in the circumstance of off-nominal input singles. Different versions of recursive LSE were analyzed under various states, such as signals of off-nominal frequency with harmonics, signals with step changes, signals modulated by a sine signal, signals with decaying DC offset and additive Gaussian white noise. Sampling rate and data window size are two main factors influencing the performance of method recursive LSE in transient states. Recursive LSE is sensitive to step changes of signals, but it is in-sensitive to signals' modulation and singles with decaying DC offset and noise.
ER -