Connotations, Characteristics and New Identification Method of Leverage Measurements

Accurately identifying the bad data belonging to the leverage measurements can greatly improve the precision of state estimation. In this paper, we presented the algebraic and geometric characteristics of leverage measurements and proposed a new method to accurately identify the leverage measurements. First, we proved that a measurement infinitely close to the Jacobi matrix column space will be a leverage measurement. Second, we proposed a new method for leverage measurements identification using the modified generalized potential index (GPI). Finally, two cases verified the validity of the proposed method. Compared with other methods, the new method can identify multiple leverage measurements accurately.