PMU Placement for Line Outage Identification via Multiclass Logistic   Regression
  We consider the problem of identifying a single line outage in a power grid by using data from phasor measurement units (PMUs). When a line outage occurs, the voltage phasor of each bus node changes in response to the change in network topology. Each individual line outage has a consistent "signature," and a multiclass logistic regression (MLR) classifier can be trained to distinguish between these signatures reliably. We consider first the ideal case in which PMUs are attached to every bus, but phasor data alone is used to detect outage signatures. We then describe techniques for placing PMUs selectively on a subset of buses, with the subset being chosen to allow discrimination between as many outage events as possible. We also discuss extensions of the MLR technique that incorporate explicit information about identification of outages by PMUs measuring line current flow in or out of a bus. Experimental results with synthetic 24-hour demand profile data generated for 14, 30, 57 and 118-bus systems are presented. 
Taedong Kim and Stephen J. Wright
math.OC