Can a power cord increase the resolution of an Class D (SMPS) amp by more than 5% ?


5% in relation to a stock power cord.

I can’t really trust dealer comments. I am more interested in reports from audiophiles. 
Whats your story? Did you manage to increase speed and resolution of your amp ? (without losses in the bass area)
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I’m having trouble seeing how a power cord could make a difference.  After all, the stock cable should be capable of delivering the full mains power available to the amp, and the power supply on the amp is going to clean up any minor amount of interference that could possibly sneak in between the wall and the unit.  
I've seen a power cord cause a loss of about 40 watts on a 140 watt amp. It was easy to see why- there was a voltage drop across the cord. I measured it with regular Digital VoltMeter (DVM); its not rocket science.

By contrast, the romex in the wall of most houses is much better performance, being made of solid core copper. But this material is illegal for use as a power cord; so yes, that last 6 feet can make a difference.

Here is an additional issue, that I think will affect switching amps more than other types of amps. The voltage drop is not limited to 60 hz. The problem is that there is a power supply in the amp that is made of a transformer, rectifier(s) and filter caps. The rectifier converts the AC from the transformer to DC and the filter caps store that voltage for use by the amp. In-between peaks of the AC power waveform, the caps get discharged. The rectifiers only conduct when the cap voltage is lower than that of the transformer; if the caps are only slightly discharged (the normal state of affairs) then the time that the rectifiers turn on is very slight, perhaps a few milliseconds or even microseconds. At that time the current draw might be profound; if the power cord does not have the bandwidth, the pulses charging the caps will be current limited.

This can be bad for a switching amp, which needs a really clean power supply to sound right, even if they don't seem to be drawing much power from it at any given time. So its worth it to try a power cord that has greater bandwidth (which romex already has...).
@atmasphere 
Wow.  I actually think I understood that.  Thanks for that clear explanation, Ralph.  Is there some kind of parameter or specification that indicates power cable bandwidth?
@atmasphere 

Looking at @dep14 's calculator, it looks like for a typical home-use power cord (16/3 cable at 6' in length) you're only losing .6% of your voltage on a typical 120v 15a home circuit, that seems like it would be well within the margin of error of typical home outlets (which can range from 110v to 130v in actual output).  

Given that amplifiers are typically running at a small fraction of their maximum output (only a few watts except for very short dynamic peaks) how would such a small reduction in voltage actually be audible?  If it were wouldn't you see an even bigger difference between two homes where one's AC voltage averages at 117 volts and another whose voltage averages at 121 volts?
Is there some kind of parameter or specification that indicates power cable bandwidth?
I've never seen one... it would be a good spec to include.

Looking at @dep14 's calculator, it looks like for a typical home-use power cord (16/3 cable at 6' in length) you're only losing .6% of your voltage on a typical 120v 15a home circuit,

In practice you see more- the problem area with many inexpensive cables in the connection at either end. That is where you are most likely to discover that the cable is heating up and this calculator does not take that into account. It also does not calculate the impedance of the cable at higher frequencies, so I can't regard it as 100% accurate, although for general home electrical stuff its fine.

The problem here is that, like it or not, you can hear differences between power cables. My thinking is that if you can hear differences, there should be something measurable as well. I find it easier to measure the effects on the equipment with which the cable is used rather than to measure the cable.

In a class D amp, the idle current is quite low. But to actually make the power to drive real speakers, the amp has to draw power from the wall and at full power can draw quite a lot depending on the amp. If you were to put an ammeter in series with the amp's AC power, you would see the meter dance around as you ran the volume up while playing music. The thing is, switching amps need the power supply to be quiet and the current it needs has to be readily available. Most of the expense of any class D amp is its power supply.

Well, in the case of the new Hurricane power cord from Audioquest you can attribute part of its very high performance to wire directionality, which Audioquest now controls during manufacturing for power cords as well as speaker cables, interconnects and HDMI cables. Hel-loo! Wake up and smell the roses! 🌹🌹🌹