Estimation of Amplitude, Phase and Unbalance Parameters in Three-phase Systems: Analytical Solutions, Efficient Implementation and Performance Analysis

被引：22
|
作者：
Choqueuse, Vincent [1 ]
Belouchrani, Adel [3 ]
El Bouchikhi, El Houssin [2 ]
Benbouzid, Mohamed El Hachemi [1 ]
机构：
[1] Univ Brest, Inst Univ Technol Brest, Brest 03, France
[2] Univ Brest, Brest 03, France
[3] Ecole Natl Polytech, Algiers 16200, Algeria
来源：
IEEE TRANSACTIONS ON SIGNAL PROCESSING | 2014年 / 62卷 / 16期
关键词：
Cramer-rao bounds; maximum likelihood estimation; power systems; MAXIMUM-LIKELIHOOD; FREQUENCY ESTIMATION; INDUCTION-MOTORS; SIGNAL; FAULTS;
D O I：
10.1109/TSP.2014.2333565
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This paper focuses on the estimation of the instantaneous amplitude, phase, and unbalance parameters in three-phase power systems. Due to the particular structure of three-phase systems, we demonstrate that the maximum-likelihood estimates (MLEs) of the unknown parameters have simple closed-form expressions and can be easily implemented without matrix algebra libraries. We also derive and analyze the Cramer-Rao Bounds (CRBs) for the considered estimation problem. The performance of the proposed approach is evaluated using synthetic signals compliant with the IEEE Standard C37.118. Simulation results show that the proposed estimators outperform other techniques and reach the CRB under certain conditions.
引用
收藏
页码：4064 / 4076
页数：13
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