A Practical Approach for Circle Power Flow Detection Using the Floyd-Warshall Algorithm

Due to the uneven geographical distribution of renewable energy sources (RES), the fluctuating generation from RES needs to be transported to demand centers, often covering substantial distances and potentially causing congestion on transmission lines. The deployment of Flexible AC Transmission Systems (FACTS) provides transmission system operators with the ability to influence power flows. However, the unfavorable control of voltage angle and magnitude may create conditions conducive to circular power flows, placing unnecessary strain on the transmission system.This research contributes by presenting a practical approach to detect circle power flows using the Floyd-Warshall algorithm from graph theory. It introduces essential terminology, discusses the method's adaptation in network planning tools, and validates its effectiveness through simulations on the IEEE 39 system.