The improper management of emergency incidents within power systems can precipitate not only substantial economic losses but also engender a myriad of adverse consequences, such as social unrest and threats to public safety. The integration of Generative Artificial Intelligence (GAI) into the realm of emergency management for power systems will effectively mitigate these detrimental effects while simultaneously augmenting the emergency response capabilities in power systems. This study embarks on a profound exploration of the generative logic underlying emergency management within power systems, elucidating the multifaceted economic, social, and cultural value that GAI contributes to this critical field. It proposes that strengthening trust in GAI and optimizing the emergency management framework are pivotal avenues for its extensive integration in empowering emergency management within power systems.