A Kill-O-Watt meter might be a helpful diagnostic tool. Plugged into the same line it could allow you to view voltage fluctuations on that line. With the machine plugged into it it could measure the current draw of the machine during an extraction.
Check all the connections inside the machine for corrosion or rust, particularly on the brew switch and pump leads.
Try another outlet in the home which is on a different circuit.
Is there a particle filter on the water intake? If so, is it clean and is the reservoir free from cat hair, mice, etc?
Does it do this with a blind filter in place? [excuse me... a visually challenged filter]
If my machine played such pleasant music, I wouldn't care about the pressure!
