Integrated clutch supercharger

A supercharger system, comprising:

• a clutch assembly comprising:
• a clutch housing:
• a first shaft having a longitudinal axis:
• a pulley connected to the first shaft;
• a clutch rotor mounted to the first shaft, wherein the clutch rotor rotates around the longitudinal axis;
• a clutch armature mounted to a second shaft and unconnected to the first shaft, wherein the clutch armature rotates around the longitudinal axis of the first shaft;
• a clutch coil spaced along the longitudinal axis of the first shaft from the pulley;
• and
• as supercharger housing;
• a plurality of supercharger rotors disposed within the supercharger housing;
• a third shaft configured to drive rotation of the plurality of supercharger rotors;
• a step-up gear connected to the second shaft;
• wherein a diameter of the pulley is independent of diameters of the clutch rotor, the clutch armature, and the clutch coil.