Electric bike powertrain with compound planetary

An electric cycle comprising:

• a crankshaft;
• a first pedal assembly and a second pedal assembly operatively connected to the crankshaft;
• a chain ring operatively connected to the crankshaft;
• a chain operatively connected to the chain ring;
• a rear sprocket operatively connected to the chain and a rear hub;
• a rear wheel connected to the rear hub;
• a motor comprising a stator and a rotor operatively connected to the crankshaft;
• a battery pack operatively connected to the motor;
• a stepped pinion planetary gear set comprising a sun gear, at least one stepped pinion gear having a first pinion and a second pinion operatively connected to each other and operatively connected to the sun gear, wherein the first pinion rotates within a grounded first ring gear and the second pinion rotates within a second ring gear;
• wherein the sun gear is operatively connected to the rotor and the crankshaft;
• wherein the second ring gear is operatively connected to the crankshaft and the first pedal assembly and the second pedal assembly;
• wherein the at least one stepped pinion gear is operatively connected to a carrier;
• and
• wherein the carrier is operatively connected to the chain ring to drive the rear sprocket;
• and
• a torque measuring device operatively connected to the crankshaft constructed and arranged to measure a reaction torque of the crankshaft and to calculate a rider input torque based on the reaction torque of the crankshaft to control operation of the motor during a coaster mode or a regenerative braking mode.