? The simulation shows that the output at 20 Hz is down 20 dB. The way I define a subwoofer is that it should be able to make audible amounts of 20 Hz output and preferably be flat or close to it at 20 Hz. Most commercial subs, even small sealed ones, accomplish this. In this case the current configuration is acting like a Mid Bass Module with lots of clean and high SPL output at 37 Hz and above and then rapidly then rolls off. You could add a -20dB shelf filter and flatten the response but you would give up a huge amount of headroom. The point of my comments was I was responding to a post that said that high power was not needed for a subwoofer and then showed an example of a Mid Bass Module to make his point. I would contend that you do not necessarily need high power for a Mid Bass Module but to get meaningful (100 dB+) output at 20 Hz a fair amount of power is going to be required even using large high efficiency pro drivers.
A bit of clarification is in order. For typical subwoofers, the power required to get to Xmax goes down in frequency. In a ported system, there is an area around port resonance where effectively the woofer sees a very low compliance and can generate high SPL's around port tuning with high power, but this is only in the region around the port tuning. Otherwise the same Xmax limits apply.
You should not add meaningful eq below a ported system's tuning frequency to attempt to get bass below this in the region where the response is dropping off at 24dB/octave. You will rapidly exceed xmax and you'll get >10% distortion from the driver by definition. Or, if you do this, you might as well use this 300 amp because the speaker distortion will exceed the amplifier distortion as you drive the unit beyond Xmax.
I will borrow a graph from Sigfried LInkwitz's page (all credit to him)
This is a graph of an older, but still solid Peerless sub, a 12" 830500..
It's for a sealed box system, but the results are instructive nonetheless.
Generally, below box tuning the maximum SPL drops at the Xmax limit. Power is not at all an issue. Box size affects this, but the general concept remains.
For a woofer in a ported box, below port tuning, the power needed to reach Xmax will be even less. That's because below box tuning, basically the driver unit "sees" a very high compliance. That is, it's acting like a big box and with dipole cancellation. This is why ported systems that have high port tunings (i.e. above 20-30) aren't very good. Low frequency energy rapidly causes the driver to hit Xmax without putting out much SPL. (but lot's of harmonics. You will hear bass. Just the wrong frequency.)
Your point that you'd need 20-30 dB of equalization to get 20 Hz of bass, though theoretically true, in practice means nothing. Using that much eq would drive the unit well past its Xmax. The only way to get high SPL down to 20 Hz is to have a lot of Sd. And, if you have a lot of Sd, unless you have a very small box, you won't need much power to get that bass. The key to low, low bass is Sd, not power.
The power is needed as you go up in frequency. Which is why pro subs are rated for so much power. unlike below port tuning, power requirements increase significantly as you go above port tuning. Most pro environments are not trying to generate 20 Hz bass. They are trying to generate 50-150 bass with very high SPL's. This requires power...
Now, as an aside, you can use a "reasonable" amount of EQ to lower the effective F3 of a sealed system, the so called Linkwitz transform. But that does not increase the SPL limit. I'm using an LT to add ~7-8 dB of gain to a sealed sub to effectively get an F3 of 30 out of a box that is naturally around 40hz to meet Dolby spec. But I don't have a higher SPL limit, just a flat FR curve to 30 Hz. I have a setting I can flip to for 20Hz at Q of 0.5, but I can't play at dolby reference levels because the problem is a deficiency of Sd, not power. Power and EQ cannot correct this. Small eq can be useful, but they do not allow your driver to exceed its Xmax limit.