Matrix Completion Using Alternating Minimization for Distribution System State Estimation

Conference · Wed Dec 30 04:00:00 EST 2020

DOI:https://doi.org/10.1109/SmartGridComm47815.2020.9302962· OSTI ID:1766858

Liu, Yajing; Sagan, April; Bernstein, Andrey; Yang, Rui; Zhou, Xinyang; Zhang, Yingchen

This paper examines the problem of state estimation in power distribution systems under low-observability conditions. The recently proposed constrained matrix completion method which combines the standard matrix completion method and power flow constraints has been shown to be effective in estimating voltage phasors under low-observability conditions using single-snapshot information. However, the method requires solving a semidefinite programming (SDP) problem, which becomes computationally infeasible for large systems and if multiple-snapshot (time-series) information is used. This paper proposes an efficient algorithm to solve the constrained matrix completion problem with time-series data. This algorithm is based on reformulating the matrix completion problem as a bilinear (non-convex) optimization problem, and applying the alternating minimization algorithm to solve this problem. This paper proves the summable convergence of the proposed algorithm, and demonstrates its efficacy and scalability via IEEE 123-bus system and a real utility feeder system. This paper also explores the value of adding more data from the history in terms of computation time and estimation accuracy.

• Research Organization: National Renewable Energy Laboratory (NREL), Golden, CO (United States)
• Sponsoring Organization: USDOE Office of Energy Efficiency and Renewable Energy (EERE), Solar Energy Technologies Office (EE-4S)
• DOE Contract Number: AC36-08GO28308
• OSTI ID: 1766858
• Report Number(s): NREL/CP-5D00-79140; MainId:33366; UUID:c2d0dc7a-159b-4d27-8cb6-ac33c5e3c7aa; MainAdminID:19670
• Country of Publication: United States
• Language: English

Related Subjects

41 EE - Solar Energy Technologies Office (EE-4S)
alternating minimization
distribution system state estimation
matrix completion