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Optimal worst case solutions for state estimation of power system with uncertain network parameters
Author(s) -
Rakpenthai Chawasak,
Uatrongjit Sermsak
Publication year - 2016
Publication title -
ieej transactions on electrical and electronic engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.254
H-Index - 30
eISSN - 1931-4981
pISSN - 1931-4973
DOI - 10.1002/tee.22234
Subject(s) - semidefinite programming , electric power system , phasor , mathematical optimization , state variable , quadratic programming , state (computer science) , bilinear interpolation , control theory (sociology) , electrical network , quadratic equation , mathematics , computer science , power (physics) , engineering , algorithm , statistics , physics , geometry , control (management) , quantum mechanics , artificial intelligence , electrical engineering , thermodynamics
This paper addresses the problem of power system state estimation under the condition that transmission line network parameters are unknown but bounded. A robust estimation in the sense of an optimal worst case solution is determined. Data collected via remote terminal units, i.e. voltage magnitude, power flow, and power injection, are used as measurement quantities. The state variables are bus voltage phasors expressed in rectangular coordinates. This makes it possible to express the relations between measured data and state variables as quadratic functions. The proposed formulation based on the structured robust least squares optimization yields a minimization problem with bilinear matrix inequality constraints. A solution method based on semidefinite programming is also presented. Some test results on the standard IEEE test systems are given. © 2016 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.