Set-membership filtering for generator dynamic state estimation with delayed measurements

Abstract

In this paper, the set-membership filtering problem is investigated for the dynamic state estimation (DSE) of the synchronous generator with delayed measurements. The process noise and measurement noise are assumed to be unknown, bounded and confined to a specified ellipsoidal set. The measurement delay is modeled by a special matrix composed of a delay-driven variable taking values of 1 or 0. Taking into explicit consideration the estimation uncertainty due to the linearization, the constrained Quasi-Newton method is adopted to minimize the linearization errors. The aim of this paper is to design a set-membership filter capable of confining the state estimate of the system to a certain ellipsoidal region, and the ellipsoidal set including all possible states is obtained by the convex optimization approach. Finally, the proposed algorithm is verified on a single machine infinite bus system to further demonstrate its effectiveness.

Keywords

• Synchronous generator
• dynamic state estimation (DSE)
• delayed measurement
• set-membership filter
• recursive linear matrix inequality (RLMI)