Turbomachine with an electric machine assembly and method for operation

A turbomachine, the turbomachine comprising:

• a first rotatable component comprising one or more of a first compressor, a first turbine, or a first shaft, wherein the first rotatable component is rotatable to a first speed;
• a second rotatable component comprising one or more of a second compressor, a second turbine, or a second shaft, wherein the second rotatable component is rotatable to a second speed mechanically independent of the first speed;
• an electric machine assembly comprising:
• a first rotor assembly disposed at the first rotatable component;
• a second rotor assembly disposed at the second rotatable component;
• and
• a stator assembly disposed between the first rotatable component and the second rotatable component;
• and
• a controller comprising one or more processors and one or more memory devices, the one or more memory devices storing instructions that when executed by the one or more processors cause the one or more processors to perform operations, the operations comprising:
• adjusting a first load at a first rotor assembly of the electric machine electrically coupled to the first rotatable component such that a first speed of the first rotatable component is increased or decreased based on an engine condition and the first load;
• adjusting a second load at a second rotor assembly of the electric machine electrically coupled to the second rotatable component such that a second speed of the second rotatable component is decreased or increased based on the engine condition and the second load;
• and
• transferring electrical energy generated from at least one of the first rotatable component or the second rotatable component.