Reddit Thread you should look at to check for issues before you begin:
https://www.reddit.com/r/Vive/comments/4kaimo/master_thread_those_having_lighthouse_base/
The Steam Developer Kit Version is basically the same, but you should attempt to do a fresh update by plugging in the base station with the power off. Power on the device by holding the mode button. Attempt to update the firmware while it is connected. If that doesn't work, you can try changing the firmware version by changing it within the drive when the base station is connected. You should have the older firmware's within your folder within your SteamVR directory. They don't recommend doing this, but I have gotten dead lighthouses to come back by cycling through old firmware:
https://developer.valvesoftware.com/wiki/SteamVR/HowTo_Update_Firmware#Base_Station_Firmware_Update
Connect the base station over USB to a USB 2 port in your computer. A micro-usb cable is required.
Make sure that the cable is fully inserted in the plug of the base station. The housing might prevent the needed close connection
Power on while pushing the Mode button to get the drive "CRP DISABLD". This may require multiple attempts.
Find the 'lighthouse_tx' firmware directory in your OpenVR Runtime directory. For example: C:\Program Files\Steam\SteamApps\common\SteamVR\tools\lighthouse\firmware\lighthouse_tx
Select the appropriate file, suitable for your basestation model. For those with the development edition "Robin" basestations, use lighthouse_tx_robin.bin
Delete the firmware.bin on the "CRP DISABLD" drive (you must do this, or the next step won't work)
Drag the ".bin" file onto the drive (or, copy + paste)
Power cycle the basestation to complete installation. USB is not required during reboot.
If you repeat the process, you will see firmware.bin with a fixed size and fixed timestamp. That's okay.
Only attempt the firmware reset as a last ditch effort if you are comfortable with it