Open AccessConstrained linear regularised state estimator for observability analysis in power systems
Author(s) -
Schmidt Fabiano,
Dardengo Victor Pellanda,
Almeida Madson Cortes
Publication year - 2016
Publication title -
iet generation, transmission and distribution
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.92
H-Index - 110
eISSN - 1751-8695
pISSN - 1751-8687
DOI - 10.1049/iet-gtd.2015.1380
Subject(s) - observability , robustness (evolution) , computer science , estimator , state estimator , factorization , electric power system , linear system , state (computer science) , mathematical optimization , power (physics) , algorithm , mathematics , mathematical analysis , biochemistry , chemistry , statistics , physics , quantum mechanics , gene
This study proposes a novel observability analysis approach for power systems state estimation. To support this approach, the study also proposes a constrained linear regularised state estimator in which equality constraints are explicitly represented, thus resulting in a well‐conditioned mathematical model where numerical problems are not prone to occur. A proper mode to specify values for the required pseudo‐measurements is also proposed. Except for some pathological cases, the coefficient matrix needs to be built and factorised just once. The implementation of the proposed approach is trivial, since the matrix to be factorised is symmetric and positive semi‐definite, requiring only classical and well‐established methods for sparse storage and factorisation. Additionally, pivoting strategies are not required. Tests based on small systems are used to present the proposed approach in a didactic way. Additional case studies based on IEEE‐14 buses and IEEE‐300 buses systems are used to highlight the robustness and usefulness of the proposed approach.