A hybrid approach to solve OPP problem using graph theory and AHP

This paper proposes a hybrid method for optimal PMU placement (OPP) using the graph theoretic approach and Analytical Hierarchy Process (AHP). Three effective criteria have been chosen from the network graph model to form a decision matrix for AHP. Then AHP does vertex ranking and edge ranking. The spanning tree has been formed from the parent graph according to the edge ranking. Some strategic locations have been identified from the spanning tree for PMU placement. The proposed method has been tested for IEEE 14-bus, 24-bus, 30-bus, 57-bus, 118-bus and New England 39-bus test systems. The proposed method successfully provide optimal PMU placement for complete observability of the systems studied. PMU placement obtained by the proposed method has been compared with the solution of the some other existing methods for the solution of OPP. The proposed method is found suitable and easy to implement.