I would post this over on the
Wind & Sun forum. I am guessing your inverter is a SW4024? If so it is a sine wave and should run anything you can plug in to it. Are you seeing any issues with any other electronics at the same time, clocks resetting, lights flickering? How is your battery capacity at 3am? Could it be a large load kicking in at the inverter dropping out momentarily? I know if I shut off my inverter and turn it back on all the alarms will squeal for about 10-15 seconds. I don’t know why they do that. Like you said if the power is out they beep every so often to let me know the power is out, but when I turn the power back on the squeal.