Thunderbolt monitor turns off if magsafe cable disconnected
If I have one of my Macbook Pros connected to the Thunderbolt monitor via the thunderbolt cable and the magsafe power cable and I unplug the power cable, the monitor completely disconnects. I've tried this with a Macbook Pro that is running El Capitan as well as a Macbook Pro that is running Yosemite. There are times I would like to disconnect the power from one and charge the other and this is not possible now that this is happening...
Any idea how to fix this? I can't find any way around the problem.