Hello I was wondering why my connection to  the OnLive gaming system was not connecting saying I had a low internet connection and drop-outs of connection were to high for me to play.
I figured out how to solve this problem either plug in you portable charger and/or restart you broadband connector from there on OnLive should work for you.
If this does not solve the problem trying running your system on lower brightness or switch to power saver option (If you have that option) or even run the game you are trying to play on lower graphics.
If the problem continues I would advise you stop using OnLive and buy a console (If you do not already own one that is) and play on that instead.
I hope I have been Helpful If not then sorry.