FLC OF AN MD88 DECLARED AN EMER AND DIVERTED TO LAND AFTER MAKING A WINDSHEAR ESCAPE MANEUVER WHICH RESULTED IN 1 ENG LOSING PWR DUE TO A COMPRESSOR STALL.

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WE WERE OVER THE OM FOR ILS RWY 18L AT TPA; CLRED FOR APCH; AND CONFIGURED FOR APCH AND LNDG. TWR ADVISED US OF A WINDSHEAR ALERT FROM PRECEDING ACFT OF A +20 KT GAIN ON FINAL. WE WERE IN LIGHT TO MEDIUM RAIN PAINTING LIGHT PRECIP ON THE RADAR WHEN OUR ON-BOARD WINDSHEAR COMPUTER PRODUCED A RED WINDSHEAR ALERT. WE IMMEDIATELY EXECUTED THE STANDARD ESCAPE MANEUVER PER OUR COMPANY SOP'S. WHEN THE PWR CAME UP ON THE GAR WE HEARD A LOUD THUMP BUT CONTINUED. WHEN THE CAPT ADVISED TWR OF THE GAR; THEY TOLD US TO MAINTAIN 2000 FT. WE WERE PASSING 2000 FT ON OUR WAY TO THE MISSED APCH ALT OF 2700 FT; SO WE ADVISED THEM THAT WE WOULD WORK OUR WAY BACK DOWN TO 2000 FT. WE PROBABLY TOPPED OUT AT ABOUT 2700 FT. AFTER WE LEVELED OFF AT 2000 FT; THE CAPT POINTED OUT THAT SOMETHING WAS WRONG WITH L MOTOR. WE FIGURED OUT THAT THE THUMP WE HEARD WAS A COMPRESSOR STALL AND OUR L ENG WOULD NOT PRODUCE ANY THRUST ALTHOUGH IT WAS STILL RUNNING. THE CAPT ELECTED TO DIVERT TO MCO FOR AN EMER LNDG. THE AUTOPLT AND AUTOTHROTTLES WERE ENGAGED FOR THE APCH AND MISSED APCH AND WERE DISENGAGED CLBING THROUGH 2000 FT. I HAND FLEW THE ACFT BACK DOWN TO 2000 FT.