AN ACR B757-200; EQUIPPED WITH ROLLS ROYCE RB211 ENGS; HAD THE R ENG ELECTRONIC ENG CTL AND ELECTRONIC LIMIT CTL TEMPORARILY MALFUNCTION DURING THE CLBOUT AND THE ENG EXCEEDED ITS EGT AND RPM LIMITS.

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ON DEP OUT OF EGE; VNAV SELECTED AS PWR REDUCTION ELECTRONIC ENG CTL FAILED; FOLLOWED ELECTRONIC LIMITER CTL FAILURE. ENG EXHAUST GAS TEMP MOMENTARILY OVERTEMPED; N1 OVERSPED; AND N2 OVERSPED. PWR REDUCED AND ALL ENG PARAMETERS OPERATED NORMALLY. AFTER APPROPRIATE CHKLISTS PERFORMED; CONTINUED FLT NORMALLY. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: THE CAPT SAID THAT HE WAS FLYING THE ACFT AND LOOKING FOR TFC WHEN THE ENG MALFUNCTIONED AND HE DID NOT SEE THE GAUGE READINGS. HE HAD JUST ASKED THE FO TO SELECT VNAV ON THE MCP AND CLB PWR ON THE AUTOTHROTTLES. HOWEVER; INSTEAD OF THE THRUST LEVEL REDUCING; IT SUDDENLY INCREASED ON THE R ENG. THE FO QUICKLY REDUCED THE R ENG THRUST LEVER; BUT THE ENG HAD ALREADY OVERHEATED AND BOTH THE N1 AND N2 COMPRESSORS HAD EXCEEDED THEIR RPM LIMITS. THE EICAS DISPLAYED THE VALUES FOR THESE COMPONENTS. THE CREW CONTINUED TO CLB TO THEIR MSA. AFTER COMPLETING THE CHKLISTS FOR THE ENG OVERTEMP AND OVERSPD; THE CREW RECEIVED A CALL FROM THE CABIN ATTENDANTS THAT THE LAVATORY SMOKE DETECTORS WERE INTERMITTENTLY SIGNALING; BUT THEY COULD NOT SEE ANY SMOKE. THE CREW RPTED ALL OF THESE EVENTS TO THEIR B757 MAINT FACILITY. THEY RPTED THAT THE ENG WAS ABOVE ITS LIMITS APPROX 2 SECONDS; BUT THE RECORDER SHOWED THAT THESE PARAMETERS WERE EXCEEDED FOR 14 SECONDS. BASED ON THE CREW'S OBSERVATIONS AND THE CURRENT PERFORMANCE OF THE ACFT; WHICH WAS NORMAL AND ALL SYS WERE RE-ENGAGED; THE CREW AND THE MAINT DECIDED TO CONTINUE TO DEST. THE REMAINDER OF THE FLT WAS NORMAL. UPON ARR; AFTER THE RECORDER WAS READ; THE R ENG WAS REMOVED AND MAJOR MAINT WAS BEGUN. THE CAPT HAS NOT FOLLOWED THE REPAIR; BUT UNDERSTANDS THAT THE HOT SECTION AND THE COMPRESSORS WERE REPLACED.