The disclosure relates to a supercharged internal combustion engine with an intake system and an exhaust gas discharge system that include two turbochargers arranged in series, a turbo-generator, and an electrically-driven compressor. During engine operation with mid-to-high exhaust gas flow rates, excess exhaust gas that bypasses the high-pressure turbocharger may be directed through the turbo-generator to generate electricity that may be provided to drive the electrically-driven compressor.