Multiple beeps then and randomly powers down, even after less than two minutes of use.

Yesterday, turned on my xbox one and loaded netflix. I began searching for a show to watch and, after about a minute, the xbox gave the 'power off beep' twice, and turned off completely. I powered the unit back on after a moment to find it had gone into full startup (green screen). It then behaved normally. I assumed it was just some sort of crash nod carried on as normal. Again today, I powered the console on, started to look for something on netflix. This time the console made the 'power off beep' about seven or eight times, then the made bit the power on and power off beeps several times I very quick succession, turning itself onto green screen for a moment, then turning itself off again. I powered on the console again after a check of power supply and such, and it was again running normally. I bought my xbox on day one. The disc drive Died. Microsoft wouldnt replace it without me paying four hundred quid deposit. The shop thankfully replaced the unit, but has said they won't do it again. I don't want to pay microsoft more money for another broken console. Please help!