Accurate Parameter Estimation for Unbalanced Three-Phase System

Smart grid is an intelligent power generation and control console in modern electricity networks, where the unbalanced three-phase power system is the commonly used model. Here, parameter estimation for this system is addressed. After converting the three-phase waveforms into a pair of orthogonal si...

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Main Authors: Yuan Chen, Hing Cheung So
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/539420
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author Yuan Chen
Hing Cheung So
author_facet Yuan Chen
Hing Cheung So
author_sort Yuan Chen
collection DOAJ
description Smart grid is an intelligent power generation and control console in modern electricity networks, where the unbalanced three-phase power system is the commonly used model. Here, parameter estimation for this system is addressed. After converting the three-phase waveforms into a pair of orthogonal signals via the αβ-transformation, the nonlinear least squares (NLS) estimator is developed for accurately finding the frequency, phase, and voltage parameters. The estimator is realized by the Newton-Raphson scheme, whose global convergence is studied in this paper. Computer simulations show that the mean square error performance of NLS method can attain the Cramér-Rao lower bound. Moreover, our proposal provides more accurate frequency estimation when compared with the complex least mean square (CLMS) and augmented CLMS.
format Article
id doaj-art-c9ed22e92308422bbf140d8b3298b868
institution Kabale University
issn 2356-6140
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language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series The Scientific World Journal
spelling doaj-art-c9ed22e92308422bbf140d8b3298b8682025-02-03T05:51:50ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/539420539420Accurate Parameter Estimation for Unbalanced Three-Phase SystemYuan Chen0Hing Cheung So1Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong KongDepartment of Electronic Engineering, City University of Hong Kong, Kowloon, Hong KongSmart grid is an intelligent power generation and control console in modern electricity networks, where the unbalanced three-phase power system is the commonly used model. Here, parameter estimation for this system is addressed. After converting the three-phase waveforms into a pair of orthogonal signals via the αβ-transformation, the nonlinear least squares (NLS) estimator is developed for accurately finding the frequency, phase, and voltage parameters. The estimator is realized by the Newton-Raphson scheme, whose global convergence is studied in this paper. Computer simulations show that the mean square error performance of NLS method can attain the Cramér-Rao lower bound. Moreover, our proposal provides more accurate frequency estimation when compared with the complex least mean square (CLMS) and augmented CLMS.http://dx.doi.org/10.1155/2014/539420
spellingShingle Yuan Chen
Hing Cheung So
Accurate Parameter Estimation for Unbalanced Three-Phase System
The Scientific World Journal
title Accurate Parameter Estimation for Unbalanced Three-Phase System
title_full Accurate Parameter Estimation for Unbalanced Three-Phase System
title_fullStr Accurate Parameter Estimation for Unbalanced Three-Phase System
title_full_unstemmed Accurate Parameter Estimation for Unbalanced Three-Phase System
title_short Accurate Parameter Estimation for Unbalanced Three-Phase System
title_sort accurate parameter estimation for unbalanced three phase system
url http://dx.doi.org/10.1155/2014/539420
work_keys_str_mv AT yuanchen accurateparameterestimationforunbalancedthreephasesystem
AT hingcheungso accurateparameterestimationforunbalancedthreephasesystem