The entry plug is injected into the Eva at a high speed.
SE <<Vashuuu>>
SEELE-01: I always wondered just how did Asuka activated the Entry Plug ejection, opening and re-insertion. Chapter 11 states that they needed diesel generators for doing so at Nerv (somewhat implying that the Eva's internal battery could not do so).
UrsusArctos: Episode 11's diesels were emergency generators used because the mains power was out. Perhaps Eva-02 simply used the Othello's onboard electrical power to operate the entry plug? That would require a lot less electrical energy than running the whole Eva, and even a converted tanker would easily have the power available.