Active regen uses fuel. I'm not sure how much. There is either from an injector in the exhaust system or the injectors in the engine itself spray fuel during the exhaust cycle. This is to elevate the temperatures of the DPF and incinerate most of the particulate matter.
Passive regen doesn't spray fuel into the exhaust. It relies on long trips that heat the DPF enough with just plain old exhaust.
This is another reason why ICE's still makes more sense for long distance trips and electric for short ones.
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