The bottom line is the higher the filter capacitance the better the amplifier maintains voltage (and power). But there is a limit and any capacitance above that limit is a waste of money.
Power is determined by the voltage in the rails and the filter cap keeps that voltage from sagging during low impedance loading that increases current draw.
The principle is the same as a water pressure tank. If you have well water with a pump but no pressure tank, the water pressure will fluctuate during the time the tap is turned on full and the pump kicks in and then turns off at the pressure set point and then on again as the pressure falls. That fluctuation is the same as power supply ripple.
With a pressure tank, the water piping volume increases and the water velocity slows down, creating pressure. Now, as the water is turned on, the pump feeds the tank and the "ripple" is absorbed by the tank and the water comes out of the tap at a constant pressure, regardless of how much the tap is open.
A pressure tank is just a big pipe, so as the tank size increases the pipe size increases, the pressure becomes more constant. However, there is a limit to the tank size for a given volume of water system to suppress the surges and any size bigger tank does nothing. Just like a filter cap does to the power supply.
Power is determined by the voltage in the rails and the filter cap keeps that voltage from sagging during low impedance loading that increases current draw.
The principle is the same as a water pressure tank. If you have well water with a pump but no pressure tank, the water pressure will fluctuate during the time the tap is turned on full and the pump kicks in and then turns off at the pressure set point and then on again as the pressure falls. That fluctuation is the same as power supply ripple.
With a pressure tank, the water piping volume increases and the water velocity slows down, creating pressure. Now, as the water is turned on, the pump feeds the tank and the "ripple" is absorbed by the tank and the water comes out of the tap at a constant pressure, regardless of how much the tap is open.
A pressure tank is just a big pipe, so as the tank size increases the pipe size increases, the pressure becomes more constant. However, there is a limit to the tank size for a given volume of water system to suppress the surges and any size bigger tank does nothing. Just like a filter cap does to the power supply.