PMU placement for state estimation considering measurement redundancy and controlled islanding

摘要

To select optimal locations for placing phasor measurement units (PMU), in this paper, a two-step convex optimization approach to attain the full network observability of a power system in both the normal operation conditions and controlled islanding operation conditions is proposed. The objective is to get the minimum number of PMUs which guarantees the system full observability with the maximum measurement redundancy. In the first step, a minimization model is applied to convex programing (cvx) to determine the minimum number of PMUs and all the possible candidate buses, which ensures the full network observability. In the second step, in the cases of multiple solutions, a maximization model is applied to cvx to maximize the measurement redundancy. Furthermore, the effect of zero-injection buses is considered to further reduce the number of required PMUs. The proposed approach is tested on three IEEE test systems, i.e. IEEE 14-bus, 30-bus and 118-bus, to demonstrate its effectiveness.