Distribution system state estimation using semidefinite programming

Cecilia Klauber, Hao Zhu

Research output: Chapter in Book/Report/Conference proceedingConference contribution


Growing penetration of distributed energy resources connected to power distribution networks requires accurate, robust, and dependable real-Time system monitoring tools. This paper considers the state estimation (SE) problem in distribution systems and proposes a new convex relaxation based approach to solve it as a semidefinite programming problem. Even with a simple 4-bus case, we have identified that existing approaches such as the iterative Newton's method are more prone to convergence issues when measurement quality varies more significantly across different sources. By relaxing the SE problem to a convex SDP, the proposed method has the potential to closely attain the globally optimum solution without suffering from numerical issues caused by the inclusion of e.g., 'virtual measurements' at zero-injection nodes. Numerical tests have been performed on the IEEE 4-bus and 13-bus test feeder cases to demonstrate the feasibility and effectiveness of the proposed approach.

Original languageEnglish (US)
Title of host publication2015 North American Power Symposium, NAPS 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781467373890
StatePublished - Nov 20 2015
EventNorth American Power Symposium, NAPS 2015 - Charlotte, United States
Duration: Oct 4 2015Oct 6 2015

Publication series

Name2015 North American Power Symposium, NAPS 2015


OtherNorth American Power Symposium, NAPS 2015
Country/TerritoryUnited States

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering
  • Control and Systems Engineering


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