Kost is also contradictory because he is stating "an ideal power supply", which doesn't exist even in the most expensive equipment. The problem is that the audio electronics run half from the internal power supply and half from the incoming A/C current. So anything external will definitely affect the sound (such as power cords, outlets, fuses, UPS).
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sleepwalker had a suggestion with the Eaton UPS. That will provide 100% coverage (within battery limits). The only other thing I can think of are the Furman power conditioners with the "current reservoir". This is a capacitor inside the power conditioner that provides a smoother A/C voltage when there are dips in the incoming A/C current. It may help fight the "hiccups" you are experiencing, but it will not do anything for the outages. Two examples are Furman Elite-15 PFi ($750) and Furman Elite-20 PFi ($1299).
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sleepwalker had a suggestion with the Eaton UPS. That will provide 100% coverage (within battery limits). The only other thing I can think of are the Furman power conditioners with the "current reservoir". This is a capacitor inside the power conditioner that provides a smoother A/C voltage when there are dips in the incoming A/C current. It may help fight the "hiccups" you are experiencing, but it will not do anything for the outages. Two examples are Furman Elite-15 PFi ($750) and Furman Elite-20 PFi ($1299).