Dekay, you will not suffer a loss of current during brownouts. In fact just the opposite is true for most (non-resistive) components that are powered up during brownouts, a rise in current to account for the decrease in voltage while maintaining a desired (let's call it constant) power output. That is the crux of the biscuit.
Brownouts are one of the first phases of power reduction, and do not last short periods, but indeed rather long periods (hours) as the utilities lower the overall electrical distribution grid voltage to compensate for lack of production. The question you ask about the depleting of power supply (amplifiers and the like) reserves compared to brownouts presents two very different cases as I understand it. To maintain the stored energy capacity of the inductors and capacitors of the power supply requires a given AC supply power. If voltage goes down, current goes up to maintain that same power output. Large inductive loads -- AC units, refrigerators, inductive furnaces, etc. are all subject to the same issue. But I think that you may be able to live without your inductive furnace during the brownout anyway.
Brownouts are one of the first phases of power reduction, and do not last short periods, but indeed rather long periods (hours) as the utilities lower the overall electrical distribution grid voltage to compensate for lack of production. The question you ask about the depleting of power supply (amplifiers and the like) reserves compared to brownouts presents two very different cases as I understand it. To maintain the stored energy capacity of the inductors and capacitors of the power supply requires a given AC supply power. If voltage goes down, current goes up to maintain that same power output. Large inductive loads -- AC units, refrigerators, inductive furnaces, etc. are all subject to the same issue. But I think that you may be able to live without your inductive furnace during the brownout anyway.