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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Wiley
2014-01-01
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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 1537-744X |
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 |