A320
Flight Crew Air Transport Pilot (ATP)
Aircraft Equipment Problem Less Severe; Flight Deck / Cabin / Aircraft Event Illness / Injury; Flight Deck / Cabin / Aircraft Event Smoke / Fire / Fumes / Odor
Flight Crew Requested ATC Assistance / Clarification; General Physical Injury / Incapacitation
Aircraft
During taxi-in to the ramp the FO and I noticed a mild burning smell with no cockpit indications of fire or overheat. Shortly thereafter; the D FA called the cockpit and notified us of the same burning smell but without the presence of any smoke. The burning odor began increasing in intensity as we pulled abeam the Deice pad. We notified the ramp of the burning odor and told the controller that we wanted to proceed directly to the gate and requested that the controller move aircraft out of our way as both taxiways were blocked by company aircraft awaiting gates. I called for the QRH smoke/fumes and we opened a cockpit window to evacuate the fumes. As we began the smoke/fumes checklist we received an ECAM for AIR PACK 1 OVHT this was quickly followed by AIR PACK 1 and 2 FAULTS. As the overheating pack was the most likely source of the fumes; we stopped the QRH and completed the ECAM. The fume odor; which smelled like burning oil or strong; acidic exhaust; began to dissipate. The D FA called the flight deck and reported that she; the C FA; and some passengers were feeling nauseous. I again notified ramp tower to move all aircraft out of our way so that we could get to a gate. I requested EMS to meet the aircraft. As the aircraft began to move; we began the smoke/fume removal checklist in the QRH.At this point; all checklists have been completed and I have very few options to remove the fumes from the cabin due to the inadequacies of the smoke/fumes removal checklist. The checklist is designed for an aircraft in flight and both of my packs have been shut down. My best and most reasonable option; the course of action I elected; was to get to proceed to the gate as quickly as possible.We were able to get to the gate quickly and the passengers were offloaded. The firefighters that met the aircraft ordered that all bags be left on the aircraft and assisted in expediting the offloading of the aircraft. I do not believe that any passengers sought medical attention. However; both the C and D flight attendants were taken to the hospital after evaluation by EMS.
A320 Captain reported an odor on taxi in to the gate and air pack overheat alerts. Two flight attendants were taken to the hospital.