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Transient stability analysis is a crucial examination performed to assess an electrical power system's ability to maintain synchronism after transient disturbances, such as faults or sudden system changes. The analysis simulates the dynamic response of the system over a short period, typically from a few seconds to minutes, to evaluate stability margins and pinpoint potential instability issues. The primary goal is to ensure that the power system can endure transient disturbances and remain stable under various operating conditions.