Tube Amps and Friendly Speakers - Back Impedance


The issue of tube amp friendly speakers has been taken apart on the Forum. However, I have another tube amp/speaker compatibility question that I hope will attract the attention of our tech oriented members, especially those members who manufacture speakers or amps. As I will explain below, the question relates to what I call "back impedance." Although this OP is longer than I would have wanted, the subject is complicated. Please accept my apologies. In the end, I'm not sure there is a best answer or practical advice. But here goes.

First a warm-up. I think many tech oriented members, such as Ralph (Atmasphere), Duke (Audiokinesis) and Al (Almarg) to name a few, have written extensively about Voltage and Power Paradigm amps, and how these amps produce current and power when presented with varying speaker impedances that change as a function of frequency.

Very generally, Voltage Paradigm amp (i.e., usually SS amps) usually maintain constant voltage and as a result produce more current, and correlatively more power (i.e., watts), when speaker impedance drops. However, SS amps produce less current and correlatively less power as impedance increases. By contrast, Power Paradigm amps (i.e., usually tube amps) tend to produce constant power as speaker impedance changes. The Atmasphere White Paper on the so-called Voltage and Power Paradigms contains a much more cogent and comprehensive discussion of the highly simplified points in this paragraph.

Second, a tube amp twist. Our tech members have explained at great length that SS amps usually have very low output impedances. This characteristic goes hand-in-hand with high damping factors (DF) and the Voltage Paradigm attribute of SS amps being constant voltage sources.

Third, the tube amp twist is that some tube amps use negative feedback of various types which has the effect of lowering output impedance and raising DF. In short, this design attribute enables a tube amp to perform somewhat solid state-like. That is, this class of tube amps is able to produce output voltages that don't vary very much as speaker impedance changes as a function of frequency.

As a case in point, my tube amp, the ARC Ref 150, has 3 different output taps (4, 8 and 16 ohms), each of which has a different output impedance: 4 ohm tap -- +/- .4 db; 8 ohm tap -- +/- .8 db; and 16 ohm tap -- +/- 1.4 db. Take a look at John Atkinson's 2012 bench test measurements of the Ref 150 to get a better sense for how it performs when presented with a simulated speaker load -- Graph 1 in particular.

Now to the back impedance question. And let me caveat my question by saying that it applies to tube amps that use output transformers -- not OTL amps like Atmasphere amps. In addition, I am thinking about tube amps that have low output impedance.

As I mentioned above, this issue has been discussed before, but I'm not sure sufficiently so. I say this because without knowing more, I would have jumped to the conclusion that a tube amp that has a low output impedance tap like the Ref 150 should perform sufficiently "SS like" so that it could drive speakers that were voiced to be driven by solid state amps. In fact, if the 4 ohm tap produces the lowest output impedance, just use it regardless of the speaker's impedance characteristics (nominal or varying). Not so fast ...

As I also mentioned, the Ref 150, like many tube amps has 3 output taps (4, 8 and 16) that are intended to correspond to the nominal impedance of the speaker. The theory is that the amp and speakers will perform better if there's a good impedance match between the two components. Great! What the heck does that mean and how does it impact performance??

The explanations I read on some of the older Forum posts seems to go like this. One of the key functions of output transformers is to match the impedance load of the speakers to the optimal operating range of a tube amp's output tubes. So, in a crazy way that I still don't understand yet, an output tranny works two ways -- (1) it steps-down the output tubes' plate voltage and high impedance to match the speakers, and at the same time (2) it steps up the impedance loading presented to the output tubes through the interaction of the tranny's primary and secondary windings (or, back impedance). In the latter case, the impedance step-up relates to the speaker's impedance presented to the tranny's secondary windings.

So, if I got this halfway correct, the inference that one should always hook his/her speakers up to the 4 ohm tap just because it generally presents the lowest output impedance to the speakers is flawed. The fallacy is that blindly using the 4 ohm tap may not result in an optimal impedance match for the output tubes.

And I think our tech members mentioned that if the output tubes are presented with a stepped up impedance that is outside the optimal design range of the output tubes, the result could be higher distortion and/or loss of power delivery capability at a given frequency as a function of the speaker's impedance characteristics at that frequency. Perhaps that's why the sage advice of using the tap that sounds best keeps cropping up. There's a lot of variables in play that affect what's comes out of the business end of a speaker, e.g., DF, output voltage regulation, power delivery and distortion, all changing as a function of frequency.

Ok, so using a low impedance tap doesn't solve all the problems with varying speaker impedances. Then, is it practical to know how much variation in a particular speaker's impedance viz-a-viz the amp's output tap impedance can be tolerated to be assured that the back impedance presented to the output tubes is in the tubes' operating sweet spot. Stated differently, if one plugs a speaker having a nominal impedance of 8 ohms into the amp's 8 ohm tap, how much can the speaker's impedance vary, yet still maintain optimal back impedance presented to the output tubes by the output transformer. Plus or minus 2 ohms ??, 4 ohms ??, etc.

If the practical answer is not more than 4 ohms total variation (or -/+ 2 ohms), then that's one heck of a pretty flat speaker by any accounts. So, my hypothetical speaker's impedance should not be greater than 10 ohms or less than 6 ohms or else the amp's output tubes will be operating outside their sweet spot, possibly producing more distortion or less power than predicted, especially if driven hard (e.g., at high gain, especially in the bass region).

So, in summary: is it practical to know how much variation in a particular speaker's impedance viz-a-viz the amp's output tap impedance can be tolerated to be assured that the back impedance presented to the output tube is in the tube's sweet spot? And that is the question!

P.S. I apologize for any typos. Just had eye surgery and my vision is still coming back.
bifwynne
^Without touching upon the specific technical issues you brought up in this particular thread, I've been saying things along these lines for some time now here, much to the disagreement of quite a few. And furthermore, that it might be more likely to find speakers with a steadier low impedance than a steadier high impedance, which might provide ss amps with some advantages in that regard too.
Which comes first, the speakers or the amp? :^)

Guess which way amp makers tend to lean?

And those who make speakers?

The rest of us are more "moderate" and less
extreme in our leanings I suppose.

I am more in the "speakers" first camp. Just make
sure the speakers you hear and like are being driven to
their max, and the specific amp to do it is easier to choose
from tehre.

But it'll work the other way also if done right, choose your
amp and then your speakers. But the speakers you'd really
like to have in that room may not be the right ones for you
then.

Just don't do either in a vacuum (no pun intended).
Well said, Bruce. And it seems to me to be safe to assume that the reason a lot of audiophiles find themselves on an amplifier merry-go-round at times is not that there is anything inferior about the amplifiers they've tried, it's just that the impedance characteristics of the speakers make amplifier selection excessively critical.

But hey, there are exceptions. My Daedalus Ulysses, for example, would be suitable matches for just about any amplifier known to mankind, except for the really flea-powered types. They are something like 6 +/- 1 ohm at all frequencies above 100 Hz, with a gradual rise to around 10 ohms at 20 Hz. And with benign phase angles, high efficiency, and high power handling capability. The 6 ohm nominal impedance, also, happens to be a perfect match for one of my amp's three output taps, which is indicated as being for 4 to 8 ohm loads.

And as I indicated in your thread about auditioning speakers, Daedalus provides 30-day return privileges, less two-way shipping and $300.

Best,
-- Al
One review I read indicated Daedulus were champs in the "tonality" dept. at RMAF. Probably not a coincidence...

Speakers are kind of like wind socks and amps like the wind. The wind has to deliver enough air to keep the thing properly inflated. Really big balloons may take a lot of air, and some amps may not be able to deliver enough juice with some speakers to do the job properly. Amp technology is becoming more efficient than ever these days (green in a sense) so there are possibilities now with high efficiency amps that did not exist before, so the utility of high efficiency easy to drive speakers is reduced somewhat overall, but as long as the shoe fits, you should be good.
Right questions Mapman, but wrong focus. I surmise that most speakers are voiced to be driven by SS amps. If my surmise is valid, the bias is that one should buy speakers first and then match the best SS amp, unless the speaker can do double duty.

I suggest you look at the specs on Stereophile's 2013 Class A speakers. Most are not very tube amp friendly. Don't misunderstand me ... I am very pleased with my ARC Ref 150. What's frustrating is that I have no idea how good my ARC Ref 150 really sounds because, as Al said above, the impedance varies so much as a function of frequency, it's difficult to know when it's functioning within the sweet spot range of its output section.

Oh well, another expensive lesson learned.