Convexification of Power Flow Equations in the Presence of Noisy Measurements

• Published in: IEEE transactions on automatic control Vol. 64; no. 8; pp. 3101 - 3116
• Main Authors: Madani, Ramtin, Lavaei, Javad, Baldick, Ross
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.08.2019; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Data buses; Flow equations; Linear programming; Mathematical analysis; Mathematical model; Noise; Noise levels; Noise measurement; Power flow; Power flow problem; Power measurement; Power systems; Quadratic equations; semidefinite programming; State estimation; Transmission line measurements; Upper bounds

This paper is concerned with the power system state estimation (PSSE) problem that aims to find the unknown operating point of a power network based on a given set of measurements. We first study the power flow (PF) problem as an important special case of PSSE. PF is known to be nonconvex and NP-har...