A direct numerical method for observability analysis

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Unified PMU Placement for Observability and Bad Data Detection in State Estimation (2014, methodology): “Step 1) Obtain the matrix and from the conventional measurements using the method proposed in [11].”
Jacobian matrix-based observability analysis for state estimation (2006, methodology): “A so-called trial matrix is defined based on the transformed matrix.”
Numerical observability analysis based on network graph theory (2003, methodology): “In [ 21 ], a direct numerical procedure is presented, which determines observable islands by a noniterative manner, via the use of selected rows of the inverse triangular factors of the singular gain matrix.”
A hybrid method for observability analysis using a reduced network graph theory (2002, methodology): “Even in the numerical methods [7], [8], [ 18 ], [19], some type of nonnumerical (topological) analysis must be performed in order to identify the unobservable branches, the observable islands, and their boundary buses and injections.”