Distributed Gauss-Newton Method for AC State Estimation: A Belief Propagation Approach
Information Theory
2016-05-27 v1 math.IT
Optimization and Control
Abstract
In this paper, we propose a solution to an AC state estimation problem in electric power systems using a fully distributed Gauss-Newton method. The proposed method is placed within the context of factor graphs and belief propagation algorithms and closed-form expressions for belief propagation messages exchanged along the factor graph are derived. The obtained algorithm provides the same solution as the conventional weighted least-squares state estimation. Using a simple example, we provide a step-by-step presentation of the proposed algorithm. Finally, we discuss the convergence behaviour using the IEEE 14 bus test case.
Keywords
Cite
@article{arxiv.1605.08336,
title = {Distributed Gauss-Newton Method for AC State Estimation: A Belief Propagation Approach},
author = {Mirsad Cosovic and Dejan Vukobratovic},
journal= {arXiv preprint arXiv:1605.08336},
year = {2016}
}
Comments
7 pages; 9 figures; submitted in the IEEE International Conference on Smart Grid Communications (SmartGridComm 2016)