Please, please listen to me very carefully! The planetary CVT will NOT produce more output torque as you describe it!! I know from experience that this is not true. When I first did the equations like you describe I made the exact same error. I made an assumption (actually, a few) that were flawed. The mistake is easy to make and I made it too. When we first got our prototype running, the mistake was obvious.
With two drivers (motors) on a planetary gearbox it is relatively easy to manipulate the SPEED ratio of the input to output. It is true that if you spin the ring gear motor in the opposite direction of the sun gear motor you can get the output shaft to not rotate at all while providing a great amount of torque. However, that torque is the same no matter how fast you spin the ring gear and no matter what direction!! It is the same even if the ring gear motor is not there!! The ring gear motor is taking the place of the housing. When you put the ring gear on a bearing you need to have the motor provide the reaction force that the housing used to provide. The planetary gearset is a lever: the sun gear to planet to ring gear interaction is independant of speed when we are dealing with torque.
The advantage of the configuration is that you will be getting the same output torque at each speed ratio. So even at the faster speeds, you will get the same output torque as at the low speed. Other shifters sacrifice torque for speed, the planetary psuedo-CVT does not.
I have derived the governing equations in my 2002 Whitepaper located here:
ThunderChickens CCT
I will just be blunt: The way you think your CVT will work is dead wrong! I do not want to be rude, but my team wasted a lot of time, money, and energy because I made the same bad assumptions you are making. I do not want to see another team go through what we did. All is not lost. Once we understood how the system actually worked, we sized our drives accordingly and the CCT worked beautifully.
BTW, the worm gear had nothing to do with any of it. It was our way of making a small package for the ring gear drive.
-Paul