Patent ID: 8517875

Claim:
A transmission for transferring torque from a prime mover, the transmission comprising: a first input shaft adapted to be driven by the prime mover; a second input shaft; an output shaft; a compound planetary gearset including a sun gear being driven by the first input shaft, first pinion gears being driven by the sun gear, a ring gear fixed for rotation with the second input shaft and being meshed with second pinion gears, and a carrier driving the output shaft; a reaction motor driving the second input shaft; and a controller for controlling the reaction motor to vary the speed of the second input shaft and define a gear ratio between the first input shaft and the output shaft based on the second input shaft speed, wherein a vertical asymptote of a ratio of sun gear speed to carrier speed versus a ratio of ring gear speed to sun gear speed ranges between about 0.00 and −0.25.