Feature Analysis of Power Flows Based on the Allocations of Phase Shifting Transformers

This paper proposes a novel approach for identifying the deviations of power flows that are controlled by multiple phase shifting transformers (PSTs). In order to control the power flows of each loop independently, at first the minimum need of PST sets is determined as the number of co-tree to the entire network. Because co-tree patterns are not unique, many PST allocations exist and can be found as the co-tree patterns. Features of the controllable area of power flows corresponding to all PSTs allocation candidates can be extracted by the eigenanalysis of the matrix. Finally, judging from the power flow profiles, the optimal allocation to the specific control target can be found. The optimal PST allocation for power flow control can be found by the flexible power flow control in an open-access network. The effectiveness of the proposed method is confirmed by the simulation studies of two model systems.