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The Advanced Warp Development Group was a division within the Federation Starfleet.
One of its testing areas was the Cochrane Institute of Alpha Centauri where they were responsible for testing prototype warp cores.
On Stardate 58552.2, an explosion ripped through the Cochrane Institute and resulted in the Advanced Warp Development Group suffering the price from the destruction caused by the incident. (TOS novel: Captain's Glory)