modem will be rebooting itself
possibly due to thos power levels spiking way out of range when connection drops
do as vm tech says and check those levels when your off
if downstream power is going out of the range -12 to 12 or upstream out of range 29 to 56 (more looking for way out than just outide) then thats what dropping ur conn.
how long does the conn normally stay down for?
let us no when you get those results with the connection off