This document discusses flexible alternating current transmission systems (FACTS) and focuses on shunt compensators. It covers the objectives of shunt compensation including midpoint voltage regulation to segment transmission lines, end of line voltage support to prevent instability, improving transient stability, and damping power oscillations. Midpoint compensation regulates voltage to allow lines to be treated as multiple segments. End of line support maintains receiving end voltages and prevents instability during disturbances. Shunt devices provide fast reactive power to damp out angle and power oscillations following events. The document examines these topics through mathematical analysis and diagrams.