BTV LCL CTLR OBSERVES NO RADIO CESSNA LAND ON AN INTERSECTING RWY IN CONFLICT WITH A CESSNA DEPARTING FROM THE OTHER INTERSECTING RWY WITHOUT CLRNC. ACFT EQUIP FAILURE.

Narrative

I WAS WORKING THE LCL CTL POS DURING A MODERATE TFC PERIOD. I HAD ONE TOUCH-AND-GO CESSNA ON AN INTERSECTING RWY. THE RWYS IN USE WRE RWY 33 AND RWY 1 -- THE TOUCH-AND-GO ON RWY 1. THERE WERE MANY ACR AND AIR TAXI OPS AS WELL AS BIZJET AND GA OPS. THERE WERE 2 ACFT DOING PRACTICE APCHS; ONE BEING A GULFSTREAM 4. DURING A LULL IN THE TFC; WITH JUST MY TOUCH-AND-GO (ACFT X) ON FREQ; WHILE WATCHING HIM FLARE AND COMMENCE ROLL; AS HE WAS LIFTING OFF JUST PRIOR TO THE INTXN WITH RWY 33; I SAW A CESSNA (ACFT Y) ROLL OUT UNDER THE DEPARTING TOUCH-AND-GO. (THE UNKNOWN ACFT HAD LANDED RWY 33.) I ATTEMPTED TO CONTACT THE UNKNOWN ACFT ON THE LCL FREQ; BUT RECEIVED NO RESPONSE. AS THE ACFT EXITED ON TXWY A; THE GND CTLR ATTEMPTED CONTACT BUT TO NO AVAIL. THE GND CTLR GAVE THE CESSNA A GREEN LIGHT TO TAXI TO PARKING. AS IT TAXIED IN; WE GOT THE TAIL NUMBER AND DISCOVERED IT WAS AN FBO ACFT. THE WATCH SUPVR WAS NOTIFIED OF THE INCIDENT AND HE LATER CONTACTED THE FBO AND SPOKE TO THE PLT. HE FOUND OUT HE WAS A STUDENT PLT WHO WAS QUITE NERVOUS. THE STUDENT PLT'S ACFT HAD A TOTAL RADIO FAILURE AS WELL AS THE ACFT'S XPONDER TOTALLY FAILING. THE STUDENT PLT BEING INEXPERIENCED WITH THIS AND NOT KNOWING WHAT THE CORRECT PROC TO DO WAS; TOOK IT UPON HIMSELF TO JUST COME IN AND LAND. THE STUDENT PLT WAS JUST LUCKY THERE WAS NO HIGH PERFORMANCE ACFT RIGHT BEHIND HIM. IN THIS SIT THE STUDENT PLT; IT APPEARS; HAD NOT RECEIVED ENOUGH TRAINING TO BE ABLE TO HANDLE THIS TYPE OF SIT AND THE EQUIP FAILURES HE HAD ENCOUNTERED.