An electromagnetic, continuously variable transmission power split turbo compound includes a turbo compound turbine driven by exhaust gases from an internal combustion engine, and a power split device comprising a magnetic gear arrangement. The magnetic gear arrangement includes a high speed rotor comprising a first quantity of permanent magnets, a low speed rotor comprising a second quantity of permanent magnets, and a plural pole rotor between the high speed rotor and the low speed rotor. A first rotor of the high speed rotor, the low speed rotor, and the plural pole rotor includes a mechanical input drive adapted to be driven by the turbine. A second rotor of the high speed rotor, the low speed rotor, and the plural pole rotor includes a mechanical output drive. A third rotor of the high speed rotor, the low speed rotor, and the plural pole rotor is unconnected to a mechanical drive and includes a controlling rotor for controlling a ratio of input drive angular velocity to output drive angular velocity.