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Re: [Amps] Tubes, transistors, and 'abuse

To: amps@contesting.com
Subject: Re: [Amps] Tubes, transistors, and 'abuse
From: Manfred Mornhinweg <manfred@ludens.cl>
Date: Tue, 25 Apr 2017 16:53:01 +0000
List-post: <amps@contesting.com">mailto:amps@contesting.com>
Steve,

Can you explain what this design is trying to achieve with separate transformers for the output (T1) and for supplying DC (T2) ? Why not the more traditional center-tapped transformer that acts as the output transformer and the method of suppling DC ?

I can explain the basics of this matter, but why the designer used the separate bifiliar choke in this case is something only he can explain. It's a personal decision more than anything else.

The basic issue is this, explained step by step:

When a single transistor works in class A, fed by an RF choke, the choke will force an essentially fixed current (pure DC), while the transistor will conduct a DC plus a sine wave current. The only other thing connected to the drain and choke is the output circuit. It follows that the output circuit must conduct the difference current - and that's a pure sine wave.

Instead if this same arrangement operates in class B (or class AB, which for the purpose of this analysis works essentially the same way), the choke will force a DC, while the transistor will conduct roughly a half sine wave current, and stay completely off during the rest of the time. The output circuit still must conduct the difference current - and that's now a DC minus a half sine. There is always some sort of DC blocking, either in the form of a series capacitor or in the form of a transformer. So the final current flowing into the output circuit is this DC minus a half sine shape, but centered on the zero line in such a way that the current*time integral on each polarity is identical. It's a highly asymmetrical waveform, one side being almost a square shape, and the other side almost a half sine.

Needless to say, this waveform has an enormous harmonic content, and whatever load circuit is connected to the class B transistor must be able to handle this waveform.

When two transistors work in push-pull in class A, each of the two transistors works exactly like the single class A transistor of the first case. Only the two are in opposite phase. This allows simply connecting a load directly between the two drains, or connecting it via a transformer, and all will be fine. This class A push-pull amplifier doesn't need any special feed arrangement. It can be fed through two separate chokes, or through a transformer center tap, or through a bifiliar choke, and will work exactly the same.

Not so with a class B push-pull amplifier. If the two transistors are fed by independent chokes we get those two DC-minus-a-half-wave outputs. Connecting a load drain-to-drain does not work, because the two waveforms aren't complementary, as they are in the case of class A!! In class B, while one side is trying to push an approximate half wave sine shape current into the load, the other side is trying to pull essentially a constant current, courtesy of that side's choke. The two currents simply don't match.

The result of attempting to operate a class B stage in this wrong way is that the difference current between the currents of each side has to go somewhere. But where can it go? At high frequencies it can go, at least partially, into the transistors' output capacitances, and into any additional capacitors installed between each drain and ground. But at the low frequency end of the amp's bandwidth, those capacitances are all negligible. This causes a huge common-mode voltage swing on the drains. During the signal's zero crossings, when both transistors are off, or conducting only a tiny current, but the two chokes are forcing the same current as all the rest of the time, both of the drain voltages soar to high peaks. These peaks can be high enough to destroy the transistors. If the transistors have good enough avalanche ratings, the spikes can be clamped by the transistors, causing huge additional power dissipation and a consequent reduction in efficiency, along with lots of IMD. So these spikes need to be controlled in some way, and the way some designers choose is to implement a strong negative feedback from each drain to its gate. By doing so, the transistors increase their conduction when the drain voltages rise, pushing them into a kind of dynamic class A operation. It tends to reduce the voltage spike problem to an acceptable level, at the cost of a maximum efficiency of roughly 45% instead of the 65% that should be typical for class AB amps.

Now enter a balanced feed arrangement, or good drain-to-drain coupling, which is the same thing.

Let's take a push-pull amp in class B, without any feed chokes, but with an output transformer that does have a real, good center tap. The requirements for this transformer are that all three windings are perfectly coupled to each other: Both halves of the primary, and the secondary.

What happens now is that when transistor 1 is pulling its half-wave current, this current flows from the supply through side 1 of the primary, and induces a corresponding secondary current that goes to the load. It also induces a similar but opposed polarity voltage in the other side of the primary, which is applied to drain 2, but no current flows in side 2 of the primary, nor in drain 2. When the signal gets to the zero crossing, all current ceases. Both drains are at the supply voltage level. And as transistor 2 pulls its half sine current, the same thing repeats with opposed polarities. All is fine and works beautifully, with good efficiency and low IMD. Negative feedback is not required in this circuit, but can of course be added to further improve linearity.

This circuit can also be analized in another way: The center-tapped primary tightly couples the two drains together. Any voltage excursion of one drain, away from the supply voltage, must necessarily be accompanied by an equal but opposite voltage excursion on the other drain. But the currents are independent: There is absolutely no problem with the drain current in one transistor being totally different from that in the other. The secondary, and thus the load, carries whatever current is needed to keep the transformer in balance.

So, when you want to build a push-pull class B (or AB) amplifier, the use of an output transformer having a center-tapped primary is a perfect solution - and this is the way push-pull amplifiers have always been presented in books, since roughly a century ago! The catch is that the coupling between the two sides of the primary needs to be excellent, very close to perfect. And in RF work this is hard to achieve.

Most transistor amplifiers operate at low voltage and high current, leading to drain load impedances in the order of only a few ohm, or even less than one ohm! This requires the total leakage inductance of the primary, plus all stray inductance in the drains-transformer-bypass-sources circuit, to have a negligible reactance compared to that very low drain load impedance. And this negligible reactance - say, 0.1 ohm or less - needs to be maintained not only up to the max operating frequency, but has to cover all of the stronger harmonics as well! That's because the individual drain currents are half sines, and these have a very strong harmonic content.

Now, an inductive reactance of 0.1 ohm at, say, 200MHz is an inductance of 0.08 nanohenries. And a piece of straight wire 1 inch long (see, I'm making concessions to inch lovers!) already has an inductance 200 times higher than that!!! Do you now realize how difficult it is to make a low impedance RF output transformer that satisfies the leakage inductance requirement? People try to do it by using tubing and flat, wide straps instead of wire, but it's all futile. It can't be done, period.

Add to this a fact that I have been stressing for years, on my website and elsewhere: The most typical output transformer for such amplifiers has a single-turn primary winding, looped through the two holes of a binocular core. Some designers, even the famous Helge Granberg, have postulated the midpoint of this one-turn primary as a valid center tap. It is not!!!!! The two half turns have no coupling whatsoever between them.

Many amplifiers use transmission line transformers in the output circuit. These too lack a center tap.

The designers who have realized the fact that all practical output transformers for these low impedance amplifiers lack a usable center tap have come up with an attempt at a fix: The use of an external, additional, bifiliar choke. Basically this choke is intended to provide the center tap that the output transformer lacks. It can in principle do so by having an even number of turns. It's usually wound with two wires in a bifiliar fashion, so that automatically the total number of turns will be even, and there will be a real center tap which can be bypassed to the transistor sources, and where the supply voltage can be applied.

The theoretical behaviour is now the following: When transistor 1 conducts its half sine wave, half of this current flows through side 1 of the bifiliar choke and into the drain 1. The other half flows through side 2 of the choke and through the output transformer primary, then joining the first half of the current to flow into drain 1. Drain 2 is off, of course. The voltages on both drains are symmetrically complementary: The drop in drain 1's voltage goes along with a rise in drain 2's voltage. And during the next half cycle of course the same happens with opposite polarities. All is fine, and the behaviour is the exact same as the one we would get when feeding the amplifier through a real, well coupled center tap of the output transformer.

This circuit can be seen as the two transistors plus the bifiliar choke and its bypass caps combining to form a full sine wave source. The ouput transformer is no longer exposed to half sines of any sort, and thus doesn't need to handle any significant harmonics. This makes the design of the output transformer far easier and more forgiving.

Alas, life is never easy, and a bifiliar choke that achieves the required ultra low leakage inductance is just as hard to make as a center-tapped output transformer that does!!! We have just moved the problem to another place. We haven't fixed the problem. So the bifiliar choke is no real solution, and that's probably why so many modern radios don't have it, while the older ones did. The result is that either way solid state, low voltage, high current, push-pull linear amplifiers all suffer from very poor efficiency and high IMD.

I have been pounding this problem of proper push-pull feeding and coupling over the last few years, and I have to admit that while my understanding of it has improved a lot, I have found no solution.

If only the IMD is a concern, then a solution is to run class A. As explained near the beginning of this post, class A push-pull amplifiers don't depend on coupling between the drains. But the efficiency is very low, typically 35%.

It's possible to achieve better results by using higher drain load impedances, ideally in a range of perhaps 50 to 100 ohm. That requires a high supply voltage, relative to the output power. 12V should be used at most for a few watts, 50 volts at most for 100 watts, and so on. But as the voltage rises, so does the product of ferrite cross sectional area * turns number required to keep the flux density in the ferrite at an acceptable level. And this requires longer wires in the windings, reducing the maximum frequency that can be handled before running into phasing trouble. We would need better ferrites, that can handle higher flux density without excessive loss. Also there aren't many high voltage RF transistors, and their capacitances are such that at increasing voltages they also can only handle ever lower frequencies. This makes a kilowatt class 30MHz linear amplifier with good IMD and an efficiency close to the theoretical value a very challenging proposition.

The little amplifier that motivated this post, having a two-turn primary, should in fact be able to work with the power applied to the transformer primary's center tap, and given that transformer's construction I would expect better performance than with the bifiliar choke the designer used. Also that little amplifier has a reasonably high drain load impedance, 11 ohm per side. That should allow pretty good performace on the lower bands, and maybe 50% efficiency on 10m, when feeding it through a center tap and optimizing the board layout for low stray inductance in the output circuit.

Manfred

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