A boost system comprising a turbocharger, a supercharger operable as either a compressor or an expander. Air flows through the turbocharger, optionally through a first charge air cooler CAC1, then through the supercharger, a second charge air cooler CAC2, and into the engine. At low engine speeds, the supercharger may be used to compress air, which is tempered by CAC2. At high engine speeds, the turbocharger has excess capacity, resulting in a hot compressed air stream. The supercharger operates as an expander to cool the air stream and reduce the air pressure and temperature to a desired level. Temperature may be reduced to a level below that desired for combustion; CAC2 then rewarms the air, thereby storing cooling capacity. A useful embodiment incorporates a turbocharger with a hybrid gas/electric or diesel/electric engine arrangement wherein a supercharger and a starter/generator/motor are disposed on a disconnectable secondary drive powered by the engine.