ENBIS-16 in Sheffield

11 – 15 September 2016; Sheffield Abstract submission: 20 March – 4 July 2016

Optimal Sensor Placement in Smart Grids: An Approach Based on Semi-Definite Relaxation and Sensitivity Analysis

14 September 2016, 09:40 – 10:00

Abstract

Submitted by
Stephane Chretien
Authors
Stephane Chretien (National Physical Laboratory), Paul Clarkson (National Physical Laboratory), Alistair Forbes (National Physical Laboratory), Jonathan Black (National Physical Laboratory)
Abstract
Smart grids have recently been the subject of an extensive research activity. The goal of the present work is to study the sensor placement problem from a design of experiment viewpoint. This problem is of paramount importance for monitoring purposes and has been addressed thoroughly in the case of PMUs where the observations are linear functions of the voltages. We propose a new method to address the case where the power is the observed quantity, i.e. the observation becomes quadratic in the voltages. Based on the asymptotic theory of constrained estimation, we devise a new criterion for the sensor placement problem which takes into account the nonlinearity of the sensing process. Our method is entirely based on convex optimization in order to avoid possible spurious solutions.

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