Transient stability refers to the ability of a power system to maintain synchronism when subjected to a disturbance, such as a fault or sudden change in load. It is crucial for ensuring that the system can return to a stable operating condition after experiencing a temporary disturbance. The analysis of transient stability involves studying the dynamic response of generators and other components in the system. Engineers use simulations to predict how the system will behave and to design protective measures that enhance stability, ensuring reliable electricity supply and preventing blackouts.