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My Full Hybrid has a CVT gearbox meaning it always runs at the best RPM for the mode Eco/Normal/Sport.
Sometimes you notice the ICE(Internal Combustion Engine) both powering the wheels and charging the battery, presumably this is where there is a slight economy gain by running the ICE at a higher power than is needed to maintain the speed.
This does mean when you accelerate the Revs stay the same the gearbox changes gear, the engine note stays the same just becoming louder which a lot of people hate.
The engine is Atkinson cycle which isn't as flexible across the rev range as Otto cycle but the motors and gearbox fill in the gaps.
Efficiency wise West Norwood through the Rotherhithe tunnel to Enfield 58mpg in an SUV with roof bars on, 44-45 mpg motorway cruising.
There are 3 types of hybrid:
The first was the first to market and have set most people's understanding of a hybrid... but the PHEV is the one now appearing in far larger numbers and that is typically running pure electric or a very fuel efficient ratio within cities (low speeds where batteries shine).
Most parking discounts, congestion discounts, relate not just to the emissions, but to the distance the vehicle is able to do on pure electric as that influences whether people are likely to achieve the low emissions.