AN ERJ135 PIC HAS PROBS WITH THE COMPANY POLICY RELATED TO FUELING WHILE AN ENG IS RUNNING AT THE GATE AFTER PAX HAVE DEPLANED AT DCA.

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GOING INTO DCA AS FLT XXX; I CALLED IN RANGE FOR A GPU BECAUSE OUR APU GENERATOR WAS INOP. ON THE GND WE CALLED FOR A GPU. WHEN WE PARKED I LEFT ENG #2 RUNNING WHILE WE WAITED FOR A GPU. WE WAITED AROUND 5 MINS BEFORE WE GOT A GPU; BUT IT DID NOT WORK. SO SOME OF THE RAMP PERSONNEL WENT TO GET ANOTHER GPU. WHILE WAITING; THE FUEL DOOR OPENED. I CALLED OPS TO LET THEM KNOW THAT I DID NOT WANT TO GET FUELED WITH THE #2 ENG RUNNING. THE PERSON IN OPS TOLD ME THAT THE RAMP PEOPLE KNOW THIS AND WOULD NOT LET THE FUELER FUEL. 1 MIN LATER; I SAW THE FUEL GOING UP; SO I SHUT DOWN THE #2 ENG. I TALKED TO THE RAMP PERSONNEL/FUELER AND OPS PERSON AND LET THEM KNOW THAT I DID NOT WANT TO GET FUELED WITH THE #2 ENG RUNNING. THE PAX HAD ALL DEPLANED BEFORE THE FUELER HAD STARTED FUELING. I THOUGHT THAT WE COULD ONLY FUEL WITH AN ENG RUNNING IF IT WAS THE MOST DISTANT ENG RUNNING PER FLT MANUAL 1 AND IF THE STATION ALLOWED IT. SUPPLEMENTAL INFO FROM ACN 625485: CAPT XXXX BELIEVES THAT WE WERE IN VIOLATION OF OUR REGS.