Re: Rythmik F12G Direct Servo Subwoofer
SW-12-04 Subwoofer Raw Driver Test Results:

Small Signal Analysis:
The following are the Thiele-Small parameters I measured using the
Klippel LPM module.
Code:
[U]Electrical Parameters[/U]
Re 3.52 Ohm electrical voice coil resistance at DC
fs 20.8 Hz driver resonance frequency
[U]Mechanical Parameters[/U]
(using added mass)
Mms 135.212 g mechanical mass of driver diaphragm assembly including air load and voice coil
Mmd (Sd) 123.809 g mechanical mass of voice coil and diaphragm without air load
Rms 4.287 kg/s mechanical resistance of total-driver losses
Cms 0.432 mm/N mechanical compliance of driver suspension
Kms 2.32 N/mm mechanical stiffness of driver suspension
Bl 12.365 N/A force factor (Bl product)
[U]Loss factors[/U]
Qtp 0.407 total Q-factor considering all losses
Qms 4.128 mechanical Q-factor of driver in free air considering Rms only
Qes 0.408 electrical Q-factor of driver in free air considering Re only
Qts 0.371 total Q-factor considering Re and Rms only
[U]Other Parameters [/U]
Vas 133.2333 l equivalent air volume of suspension
Lm 86.73 dB characteristic sound pressure level (SPL at 1m for 1W @ Re)
Lnom 87.28 dB nominal sensitivity (SPL at 1m for 1W @ Zn)
Sd 466.98 cm² diaphragm area
As you can see above, the Fs is low at 20.8 Hz. Qts and Vas ultimately net you a Qtc (in-box Qt) of 0.70 in an enclosure size of 1 cubic foot (not accounting for displacements of driver and bracing). That's pretty respectable on its own. Decreasing enclosure size allows a bit more output in the 80hz region, however, that results in a loss of lower end output. This is where the amplifier's damping adjustment options will help; you can smooth out the impedance bump caused by an undersized enclosure (often noted as box resonance) and extend the low end. This information is covered in further detail in the subsequent posts.
Large Signal Analysis:
The following is an inside peek in to the inner workings of a speaker driver. The Klippel LSI parameter is used to provide Linear One-Way Xmax: maximal excursion within some distortion threshold. In the case of subwoofers, the distortion threshold is 20% total harmonic distortion (THD) which is becoming the standard for acceptable subwoofer distortion thresholds¹. The data below provide engineers the ability to better understand how their product is performing in order to make adjustments to the design and improve performance and/or maximize the cost to performance ratio. It is worth mentioning that no driver is perfect and while some curves may look great, I've found the real engineers are making compromises where it makes sense.
Linear excursion is typically comprised of three main aspects: 1) motor force over excursion (Bl(x)), 2) suspension over excursion (Km(x)), and 3) inductance over excursion (Le(x)). These parameters play in to the previously mentioned 20% THD threshold. The least of which is used to determine the driver's linear performance for specification purposes.
The motor force, below, is given over excursion (driver voice coil in through coil out). What is shown is the force of the motor has a slight tilt to the curve illustrating approximately a 1.5mm coil inward offset.
Below are the suspension measurements. In this case, there is a forward offset and asymmetry to the driver.
Lastly, we consider the effect of inductance on the driver's performance. Below are the results of both the inductance due to excursion (Le(x)) and inductance over current (Le(i)).. As the driver moves, the coil does, too. When current flows through the voice coil, there is a resistance to that flow of current known as inductance. As a driver moves forward and backward, the current in the coil changes. As the coil is closer to the magnet the magnetic field is higher than when the coil is 'out' and away from the magnet. So, you can imagine as the coil moves inward toward the magnet the inductance (or resistance to current) increases and as the coil moves out the inductance decreases. This results in a non-linear inductance performance. This is not desired. So, many manufacturers will put a shorting ring on the motor assembly (placement varies from design to design) in an attempt to cancel the magnetic flux as the coil enters the motor area where inductance is typically high. You can find good info and probably a much better explanation than I've given via Google if you wish.
Below is the result of the inductance as the driver moves through it's excursion and vs current.
What you see in the Le(x) graph is a forward offset of the shorting ring by about 7mm.
So, Bl(x), Kms(x), and Le(x) have been provided. The following values associated with each parameter comprise the components' limiting factor in
one-way excursion:
Code:
[u]Displacement Limits[/u]
X Bl @ Bl min=70% 17.8 mm Displacement limit due to force factor variation
X C @ C min=50% >21.7 mm Displacement limit due to compliance variation
X L @ Z max=17 % 18.9 mm Displacement limit due to inductance variation
X d @ d2=10% 52.8 mm Displacement limit due to IM distortion (Doppler)
From the above, using the prescribed Bl, Cms, and Zmax (Le(x)) values for linear excursion limits, the driver's linear Xmax measures at 17.8mm, limited by Bl. That's quite impressive.
Note:
Where ">" is given, this simply means the data was not resolved. This is typically because the driver needs to stressed further. Most of the time this isn't a problem but in some cases, it's not necessary. As you see above, Bl and Le both resolved and either of them would be a limiting factor the linear excursion of this driver so I saw no need in further pushing this driver at the risk of permanent damage.
Footnotes:
¹ Patrick Turnmire of Red Rock Acoustics.
Frequency Response and associated Harmonic Distortion:
The following is a measurement of the SW-12-04 driver in the nearfield with SPL normalized to the 1 meter position. I measured the driver with an input of 2.83v and then with 20v input to illustrate how the distortion changes with higher output.
Overall, the Harmonic Distortion components at 2.83v/1m are really low. The red PHD line is a representation of perceived harmonic distortion. You'll note this is very, very low. With 20v input, putting the mean SPL from 20 to 300hz at about 98dB, THD climbs to about 3% THD at 60hz. However, this is mostly comprised of 2nd order distortion while 3rd order distortion is below 1.5%. Whether or not this is an audible factor seems to be of hot debate. The key here is the relationship between 2nd and 3rd order and that they're well separated, indicating no serious flaws in the driver.
Subwoofer Driver Conclusion:
On its own, this driver performs pretty well. The low Fs of 20.8Hz, reasonable enclosure size requirements, good linearity, and low distortion with nearly 18mm one-way linear excursion all are attributes that make this a great value at it's current MSRP of $179. I honestly would have no issue at all recommending it. Getting down to brass tacks, what this means is with the F12G Subwoofer, you know you have a great starting point with the SW-12-04 driver.
One thing that is a nice added touch is the felt material on the underside of the cone (shown in the pictures above). This is to minimize any audible tinsel lead slap on the cone. And I can say without a doubt, as I was testing this woofer to very high excursion levels (likely higher than anyone would actually achieve in real use), I never once heard
any mechanical noise from the woofer driver.