MD80 CREW OVERSHOOTS MISSED APCH ALT ATTEMPTING AN LDA APCH INTO DCA.

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I WAS THE PF. WE WERE MAKING THE LDA DME APCH TO RWY 19. GOT DOWN TO OUR ROUNDED UP MDA OF 800 FT AND WITH NO RWY IN SIGHT EXECUTED THE MISSED APCH. IN THE PROCESS OF TURNING TO THE MISSED APCH HDG AND CLEANING UP THE ACFT; I FLEW THROUGH THE MISSED APCH ALT OF 1800 FT. THE FAULT WAS MINE AND MINE ALONE. I HAD BRIEFED THE APCH WELL BEFORE OUR ARR AND WAS AWARE THAT FROM OUR MDA TO MISSED APCH ALT IT WAS ONLY 1000 FT. HAD I FOLLOWED ACR PROCS AND HAD THE FO SET 'MISSED APCH ALT' AT THE PROPER TIME OR SIMPLY PAID MORE ATTN TO THE LEVELOFF; THIS WOULD NEVER HAVE HAPPENED. SUPPLEMENTAL INFO FROM ACN 580809: INADVERTENTLY; THE MISSED APCH ALT WAS NOT SET AT MDA. WHEN MISSED APCH WAS EXECUTED; ACFT DEVIATED APPROX 400 FT ABOVE MISSED APCH ALT (2200 FT VERSUS 1800 FT). TWR WAS IMMEDIATELY NOTIFIED AND HIGHER VECTORING ALT AND HDG WERE ASSIGNED. 2 SUBSEQUENT LDA DME RWY 19 APCHS WERE ATTEMPTED WHICH ALSO LED TO MISSED APCHS; WHILE OTHER CARRIERS CONTINUED TO LAND AT DCA. WE DIVERTED TO BWI; ON-LOADED FUEL AND FLEW TO DCA AFTER CEILING INCREASED TO 1000 FT BROKEN.