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Approximate linear amplitude model based algorithm for measuring power system frequency
Author(s) -
Xu Qingshan,
Xu Qingqiang,
Yukita Kazuto,
Ichiyanagi Katsuhiro
Publication year - 2012
Publication title -
ieej transactions on electrical and electronic engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.254
H-Index - 30
eISSN - 1931-4981
pISSN - 1931-4973
DOI - 10.1002/tee.21693
Subject(s) - linearization , amplitude , taylor series , algorithm , noise (video) , series (stratigraphy) , mathematics , power (physics) , control theory (sociology) , computer science , nonlinear system , mathematical analysis , physics , paleontology , control (management) , quantum mechanics , artificial intelligence , image (mathematics) , biology
A novel algorithm for measuring the power system frequency during a very short time is presented in this paper, based on an approximate linear current amplitude model. The presented measuring frequency algorithm is used to get the instantaneous value of the parameter accurately. In the algorithm, the amplitudes of four consecutive sampled currents are supposed to be linear. After rigorous mathematical deduction, including Taylor series expansion and the geometric proportion theorem, the instantaneous frequency could be derived. The errors arising from the linearization in the model are analyzed qualitatively, and then the errors of A/D conversion and Taylor series expansion are considered. By the proposed technique, the measured frequency can be derived easily, quickly, and accurately, without any digital filters. The results after simulation show that the proposed algorithm has high accuracy and noise immunity during power swings and in the normal state. © 2011 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.