The assessment of voltage stability margins is a promising direction for
wide-area monitoring systems. Accurate monitoring architectures for long-term
voltage instability are typically centralized and lack scalability, while
completely decentralized approaches relying on local measurements tend towards
inaccuracy. Here we present distributed linear algorithms for the online
computation of voltage collapse sensitivity indices. The computations are
collectively performed by processors embedded at each bus in the smart grid,
using synchronized phasor measurements and communication of voltage phasors
between neighboring buses. Our algorithms provably converge to the proper index
values, as would be calculated using centralized information, but but do not
require any central decision maker for coordination. Modifications of the
algorithms to account for generator reactive power limits are discussed. We
illustrate the effectiveness of our designs with a case study of the New
England 39 bus system.Comment: 10 pages, submitted for publicatio