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

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 exp...

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Bibliographic Details
Published in:IEEE transactions on signal processing 2014-08, Vol.62 (16), p.4064-4076
Main Authors: Choqueuse, Vincent, Belouchrani, Adel, El Bouchikhi, El-Houssin, El Hachemi Benbouzid, Mohamed
Format: Article
Language:English
Subjects:
Amplitudes
Applied sciences
Computer Science
Cramer-Rao bounds
Cramér-rao bounds
Detection, estimation, filtering, equalization, prediction
Engineering Sciences
Estimators
Exact sciences and technology
Exact solutions
IEEE standards
Information, signal and communications theory
IP networks
Mathematical analysis
Mathematics
Maximum likelihood estimation
Power systems
Signal and communications theory
Signal and Image processing
Signal, noise
Simulation
Statistics
Statistics Theory
Telecommunications and information theory
Transaction processing
Transforms
Unbalance
Vectors
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Summary: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.
ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2014.2333565