This paper examines the use of thyristor controlled series capacitors (TCSCs) for the redistribution of active power flows (PFs) in a transmission network and presents a simple model of a hierarchical coordinated control system for multiple devices. The TCSC is one of the representatives of the flexible AC transmission system (FACTS) devices family and is a solid-state converter that has the capability of controlling PFs in transmission lines by changing its reactance. The model is based on a sensitivity analysis of the system plus knowledge of TCSC behavior and is verified by steady state simulation. A 12 bus, 19 line, 5 TCSC system is presented as an example. It is shown that TCSCs can be very effective for controlling PFs in lines and unload overloaded lines by the coordinated actions of multiple TCSC devices, without their mutual negative influence, using locally measurable input signals