Optimal PMU Placement Using Stochastic Methods

Phasor Measurement Units (PMUs) collect high-precision voltage and current data in order to monitor the performance of a power system. However, it is expensive to implement PMUs on every bus within a power system. Optimal PMU placement (OPP) becomes necessary to minimize the number of PMUs implemented while maintaining full observability of the network. This paper considers the resiliency of bus connections when optimizing PMU placement. First, a graphical and mathematical model is developed. Next, techniques from chance constrained programming are adapted to create a stochastic model in which N-1 contingency is considered. Finally, by applying stochastic programming techniques, the model is tested with the IEEE 1996 Reliability Test System.