Distribution System State Estimation: A Semidefinite Programming Approach

Journal Article · Mon Jul 01 04:00:00 EDT 2019 · IEEE Transactions on Smart Grid

DOI:https://doi.org/10.1109/TSG.2018.2858140· OSTI ID:1576987

Yao, Yiyun; Liu, Xindong; Zhao, Dongbo; Li, Zuyi

Distribution system state estimation (DSSE) is one of the vital components in the next-generation distribution management system which allows operators to monitor the entire system's operating conditions. Due to the lack of real-time measurements, DSSE has to process measurements whose quality varies significantly across different sources, which causes a convergence issue to the Gauss-Newton solver. In this paper, a semidefinite programming (SDP) framework is proposed to reformulate the DSSE problem into a rank- constrained SDP problem. One challenge of this technique is the nonconvex rank-one constraint, which is generally relaxed. However, the relaxed SDP-DSSE problem cannot guarantee a rank-one solution and hence loses optimality. Therefore, we propose two solution approaches to obtain rank-one solutions for the SDPDSSE problem: the rank reduction approach and the convex iteration approach. The model and the effectiveness of the proposed solution approaches are numerically demonstrated on the IEEE 13-bus, 34-bus, and 123-bus distribution systems.

• Research Organization: Argonne National Laboratory (ANL)
• Sponsoring Organization: USDOE Office of Energy Efficiency and Renewable Energy (EERE)
• DOE Contract Number: AC02-06CH11357
• OSTI ID: 1576987
• Journal Information: IEEE Transactions on Smart Grid, Journal Name: IEEE Transactions on Smart Grid Journal Issue: 4 Vol. 10; ISSN 1949-3053
• Country of Publication: United States
• Language: English

Related Subjects

Distribution system state estimation (DSSE)
convex iteration
rank reduction
semidefinite programming (SDP)