A SOCATA TB20 LANDED GEAR UP FOLLOWING A TOTAL ELECTRICAL FAILURE CAUSED BY AN ALTERNATOR LOSS.

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ORIGINATING IN ZZZ1 APPROX XA40 HRS LCL WE EXPERIENCED MODERATE TO SEVERE TURB AT 4500 FT AND DSNDING INTO ZZZ2. AT THIS TIME I RECEIVED AN INTERMITTENT FLASHING OF MY ALTERNATOR LIGHT. LANDED ZZZ2 NO INCIDENT; DROPPED OFF PAX AND GOT FLT FOLLOW TO ZZZ3. ENCOUNTERED SEVERE TURB 1500-4500 FT MSL -- ALTERNATOR LIGHT INTERMITTENT FLASHES. CLRED BY ATC FOR ILS AT ZZZ3. MY ALTERNATOR LIGHT FLASHED AND THE COCKPIT WENT DARK. ELEVATION +/-2500 FT MSL. I HAD A VISUAL ON ZZZ3 RWY AND DIALED IN 7600 ON XPONDER -- LOST COMS. I IDENTED FOR ATC. INSIDE OF THE BRIDGE I LOWERED LNDG GEAR LEVER. THEY APPEARED TO CYCLE DOWN -- NO LIGHTS IN COCKPIT; THOUGH; AND THE TAXI/LNDG LIGHTS VERY DIM. NO OTHER VISIBLE TFC IN SIGHT. AS I CAME IN FOR A LNDG I SAW SPARKS FROM THE STEP TO GET ON THE WING AND SET THE PLANE DOWN ON THE RWY WITH THE GEAR UP -- FEARING THAT A GAR AT THIS POINT WOULD BE DANGEROUS. LANDED ON RWY 29R AT ZZZ3 WITHOUT MAJOR DAMAGE TO THE RWY OR THE AIRFRAME. THERE WAS VERY SLIGHT FUEL UNDER R WING. SMELL OF RUBBER BURNING TURNED OUT TO BE A TIRE THAT SCRAPED THE GND. THIS INCIDENT ENDED WITH NO PROPERTY DAMAGE AND NO INJURIES. MINIMUM DAMAGE TO THE AIRFRAME.