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Case #3) Low road speeds - where MG2 needs to be *approximately* stationary for the gasoline engine to keep constant road speeds and normal RPM. MG2 might in some cases work against the gas engine, if the battery needs to be filled, or might actually send some power back to MG1 to assist the gas engine, while it's working against it.
Because the electric motors are also the gearing for the transmission, it's sometimes necessary to make their power split work in seemingly illogical ways in order to solve gearing issues, or keep the gasoline engine in its island of efficiency.
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