An excellent post by Dan Wiggins (a transducer engineer at Adire Audio and one of the inventors, if not THE inventor of patented XBL^2 technology) talking to Kyle Lee, (another transducer engineer from TC-Sounds and one of the inventors of patented LMT/LMS) about the XBL^2 topology.
DanWiggins wrote:Kyle,
I think you're looking to standardize too much. Amplifiers are really voltage devices, so you want the impedance to be equalized; don't look for even power, look for even current flow (since force is BLi, you want the i to be the same). Which means, if your input is in terms of power, you want the impedance of the voice coil to be the same.
This means you can go with more layers, or different gauge wire. And it's still VERY comparable because you want the effective force to be equalized (that i part of the term). It's perfectly reasonable to do so.
Here's a few graphs for a real-world, shipping model product I did. We'll start with the overhung. I can't give the actual Klippel tests, nor identify the model (NDA), but I can tell you that my simulation of the overhung was close enough to what they actually Klippeled that it led the company to try the XBL version.
Anywhere, here's what the overhung had for a BL curve:
This was with a DCR of 6.1 Ohms.
Now we did an XBL model, with the SAME pole piece, a shorter magnet stack, a thicker and grooved top plate, and a rewound voice coil. Overall motor height and weight was the same, and we used the same ID and OD for the magnet (just a shorter magnet overall).
This was with a DCR of 5.9 Ohms.
Essentially, we doubled stroke, and increased BL everywhere by at least 10%. More efficiency from this increased BL; we kept the Mms the same since the customer required a fairly consistent Fs, and didn't want to change the suspension at all (it's really well done).
And I want to reiterate that we Klippeled both speakers, and found the model to be within a 1-2% of either Klippel result at all positions. And the XBL version is now shipping - it replaced the overhung unit in an existing speaker design. In other words, the client tried it, and liked it enough to make the change (and did so gladly).
So let's look at what these two curves mean. Let's start with THD. First the overhung curve, then the XBL curve:
No contest. The XBL motor breaks 2% THD at 8mm one way; the overhung crosses that at 2.8mm. At 10% THD, we find the XBL motor at 10mm, the overhung at 5mm.
How about driver efficiency? Overhung first, XBL second:
Again, not even close. Not only do we have more SPL everywhere, but we have no change in SPL until we're 9mm one way with the XBL; we see a 3 dB loss in efficiency (because of loss of BL) at 11mm one way. Consistent and flat. The overhung? You're 3 dB down at 5mm, and have measurable loss in a matter of a few mm.
This is a SERIOUS issue. This is compression, pure and simple. The average SPL you hear is the average efficiency over stroke. As stroke increases, the average SPL of the overhung continues to drop, and does so rapidly. This effect is classic compression, and is in fact highly audible, and what most people associate with audible compression!
Thermal compression is a non-issue; your voice coil heats in a matter of milliseconds, and takes seconds or minutes to cool down (fast attack, slow release).
BL compression is instantaneous and completely displacement - not power - based. You can't get around it by simply turning the volume up a notch (like you can with thermal compression in low crest factor situations like prosound). It's always there.
What about box alignments? Guys here sweat tiny little changes in box models, but in reality it's a waste UNLESS they're using a flat BL driver. Here's why - let's look at the Qes (which really dominates Qts) of the overhung and the XBL drivers:
What does this mean? As you move, the Qts of the driver changes. And that means the box alignment changes. In fact, the further you push it, the more the overhung starts to suck. Now you can fit the middle, and make it sound OK at mid-volumes, but then it will be overdamped at low volumes. Or if you design it to sound good with the published T/S parameters (low level), the box will get boomy at higher excursions, because now it's underdamped (Qts is up).
The XBL driver will maintain a nice and consistent Qts over stroke, meaning the alignment doesn't change. Design it to sound boomy or tight, it'll stay that way well over operational characteristics.
Anyway, these effects - THD, compression, Qts/alignment stability - are completely discounted with most packages, T/S measurements, and basic analysis usually done. Yet these are the ones that are most audible! Too many people overlook them because they don't understand, don't know they exist, or don't believe it because no one has ever done this before (of course, linear BL drivers hadn't been done until 2001 with XBL).
To wrap up this lengthy post... I've had lots of real-world, independently measured experiences and cases where I could get more BL AND more efficiency AND more stroke with XBL versus an overhung, you need to optimize each driver rather than trying to hold things constant (it doesn't apply), and I put a lot more faith into the audible issues, rather than the static/low-level measurements which apply to only low-level situations.