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| SON of ZEN |
| Copyright 1997 Nelson Pass |
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| The Zen has
proven to be a popular and enduring do-it-yourself amplifier. The design addresses the
audiophile's enthusiasm for single-ended amplification, but is even more interesting for
its exploration of the performance available at the extremes of simplicity, having only a
single gain device. Judging by the mail, more than a thousand of them have been
constructed, not including a couple of commercial rip-offs. Incoming mail is an
excellent barometer of interest and taste among the readers. Letters suggesting design
improvements provide the direction and the excuse to proceed with the Son of Zen. It
responds to the following common requests:
MORE/LESS POWER:
Naturally I would expect an interest in more power, given the modest ten watts of the Zen
amplifier. Surprisingly, I also experienced demand for less power, specifically five
watts, from people fixated on that figure, and certain that ten watts was too much.
Son of Zen has been designed scalable, and can be built with an output from one to
fifty watts without any change in the schematic of the amplifier itself. You need only
change the power supply values and (possibly) the amount of heat sinking to achieve the
desired output rating. Using a Variac in front of the power transformer, you can adjust
the power rating with a knob.
DIRECT COUPLING: A lot of people
are really concerned about capacitors, almost as many as worry about wire. Capacitor
distortion is small compared to the sins committed by output transformers and the gain
devices (tubes or semiconductor), but occupies a disproportionate share of audiophile
angst.
The Zen amplifier cannot be direct coupled as designed, but the Son of Zen is
completely free of capacitors in the amplifier circuit. Anyone concerned about capacitors
in the power supply will be free to use batteries to power it.
NO FEEDBACK: The Zen depends on
a modest amount of feedback for its performance. You don't like feedback? OK, it's gone.
HIGH INPUT IMPEDANCE: The Zen
amplifier has a low input impedance, which helps lower distortion caused by the
interaction of feedback network impedance with the input capacitance of the gain Mosfet.
The Son of Zen can have any input resistor you care to use.
BALANCED INPUT: The Zen did not
offer a balanced input. Son of Zen does, and achieves better performance with a balanced
source.
EVEN SIMPLER CIRCUITRY: A number
of readers expressed concern over the use of an active constant current source in the Zen,
some going so far as to suggest that it constitutes a second gain stage. Well it doesn't,
but just to make these guys happy, the Son of Zen is biased entirely by resistors, so that
the only semiconductors are the actual gain devices themselves. There are no extraneous
transistors, diodes, or what-have-you.
NO ADJUSTMENTS: There are no
adjustments of any sort in the Son of Zen. You will not need any test equipment beyond a
multimeter to confirm proper operation. The performance depends entirely on non-critical
matching of gain Mosfets and resistors.
The whole thing sounds pretty ideal, doesn't it? There are two performance caveats to
this design, both the result of filling the above audiophile wish list.
First, the damping factor is quite low, on a par with some of the tube amplifiers on
the market. If you need an amplifier with a high damping factor, look elsewhere. You can
improve the damping factor of the amplifier by scaling the resistor, but only at a heavy
efficiency penalty.
Second, the efficiency of this amplifier is quite low, even by audiophile standards.
Operation of a single channel at twenty watts will require about 500 watts worth of power
supply and heat sinking. This would be a daunting consideration for a commercial amplifier
offering, but does not represent an insurmountable barrier for the do-it-yourself
enthusiast.
Nevertheless, this is a project requiring lots of heat sinking and big power
transformers. There is a lot of latitude to this hardware, but be forewarned that this is
a project for those who like their hardware big and their listening rooms warm. |
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| CIRCUIT THEORY |
| The Son of Zen is what I will call a balanced single-ended design. In this case it
refers to a differential pair of matched power Mosfets where a balanced signal is
presented at the gates of the Mosfets and the speaker is driven across the drains of the
Mosfets. Is this a single gain stage? Yes, a differential pair is considered a single
gain stage.
Is this single-ended? Each half of the circuit is clearly single-ended, although
operating any pair of such circuits in balanced mode calls the concept into question, thus
the term "balanced single-ended". As there are a number of amplifiers in the
marketplace referring to themselves as single-ended, although clearly using balanced
output stages, the oxymoron "balanced single-ended" provides a means of
distinguishing this approach from the more "pure" single-ended designs.
In the case of this design, it is the balanced nature of the topology which allows the
direct coupled operation not possible in the original Zen amplifier.
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| BUILDING THE CIRCUIT |
| Figure 1 (click to view) shows the
amplifier circuit. Power Mosfets Q1 and Q2 are the gain devices. They are biased by eight
ohm power resistors R1 through R4, and one ohm power resistors R5 through R7. Low wattage
resistors R8 and R9 are there to prevent parasitic interactions between the Mosfets and
the input cable/source, and low wattage resistors R10 and R11 provide an input ground
reference and the nominal input impedance. The circuit is supplied by two supply
voltages +Vs and -Vs, and the loudspeaker is driven across the drain connections of the
Mosfets.
The choice of power Mosfets for the gain devices is somewhat broader than those for the
Zen amplifier. In general, any reasonably matched pair of power Mosfets will work,
assuming that they meet the dissipation requirements of the circuit. I prefer to use the
newer generation of Mosfets with higher transconductance figures and lower distortion than
some of the early Mosfet parts. The actual Mosfets used in this project were IRFP240,
simply because I have a good stock of them. It is also possible to use P channel Mosfets
for the project, simply by reversing the polarity of the power supplies. I have tried it,
and it works fine.
One of the problems enthusiasts had building the Zen amplifier was that the project was
published just before the great Mosfet famine of 1995, and it was exceedingly difficult to
get the parts. It will be easier this time around because Son of Zen is a little less
fussy, Mosfets are more available, and I will be making matched pairs available for sale.
Digikey (1-800-344-4539) has IRFP240 and IRFP244 and similar devices available between
$7 and $8 each.
The matching of the Mosfets helps achieve low DC offset voltage as seen by the
loudspeaker and also helps to lower the distortion. If you want to match your own devices,
you can simply place them in the working circuit, noting their Gate-to-Source DC
potentials with a multimeter, and matching devices for the same DC voltage. Alternatively,
you can swap devices in and out until you get low DC offset at the output across the
drains of the Mosfets. A procedure for matching Mosfets is also presented in the A75
amplifier project published in The Audio Amateur.
If you cannot manage to match your Mosfets, you can get some adjustment of the DC
offset by placing resistors in parallel with R5 or R6. Start with trial values like 100
ohms.
Figure 2 is a graph showing the
dissipation in each of the power Mosfets versus the output power rating. Given a desired
output wattage, you can see how hard each transistor will be working, and plan
accordingly. The devices you use should have dissipation ratings considerably in excess of
the dissipation point on this curve; I would suggest at least twice as much. This means
that a Son of Zen with an output of 50 watts will need Mosfets rated at about 180 watts
each.
Heat sinking for these Mosfets is very important to their reliability. The rule of
thumb for heat sinking is that you should be able to touch the heat sink during operation.
This requirement limits the temperature to about 55 degrees Centigrade, and assures a chip
temperature within the device's ratings. You can run the devices at higher temperatures,
but I would suggest having some spares, as it will reduce their operating life.
The Mosfets have electrically live cases, so mounting them on the heat sinks will
involve the use of thermal grease and insulators. Mica insulators are the best. You can
get insulators made of silicone rubber which do not need the grease, but they are not as
good in my experience. The screws which secure the devices to the sinks must be tight
without over-tightening. At Pass Labs we use torque wrenches set at 3.5 inch-pounds.
Mosfets are sensitive to static discharge, and should be handled carefully to avoid
damaging the gate due to static. Elaborate precautions are not essential, just try to use
some common sense when handling the devices. The Son of Zen is not provided with static
input protection, and requires moderate care when hooking up the amplifier to a source.
You can provide input protection if you want by placing back-to-back zener diode pairs at
each input to ground. The ratings of the diodes should be 10 to 16 volts.
Figure 3 shows the dissipation in
each of the eight ohm power resistors in the amplifier. You will note that at output
ratings of 50 watts each of the four resistors will be dissipating in excess of 200 watts.
For this project I used Dale NH-250 8 ohm 1% resistors, which are rated at 250 watts each.
These resistors will require extensive heat sinking. Fortunately the thermal
considerations for the power resistors are more lax than for the power transistors, and
you can operate them closer to their ratings and at higher temperatures. I suggest that
you place them on separate heat sinks from the transistors for this reason. Each of the
resistors can also be made up of arrays of smaller resistors. You can, for example use a
pair of 16 ohm resistors in parallel, or 4 ohm resistors in series.
The exact value of the resistors is not particularly critical, and variations from 7.5
ohms to 8.5 ohms will not make a significant difference, although the resistance values
should be matched as much as possible. The Dale resistors I used are non-inductive, but
this is not critical.
For the one ohm resistors, I used Dale NH-50 1 ohm .1%, which are rated at 50 watts.
The one ohm resistors have the same sorts of requirements as the eight ohm resistors,
except that their dissipation figures are only one-eighth the amount.
The input to ground resistors R10 and R11 can be any reasonable value. I used 10 Kohms,
but you can easily go as high as 100 K ohms. R8 and R9 are nominally valued at 221 ohms,
and could range from 100 to 470 ohms. R8 through R11 are low wattage types. Some of you
will want to use Vishay or Holco resistors, while I settled for Vishay's subsidiary Dale's
RN55D metal film types.
There is no PC board layout for this amplifier. All of the connections between the
parts are by direct wiring. I trust that you will choose politically correct, audiophile
approved wire.
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| BUILDING THE POWER SUPPLY |
| The Son of Zen requires a serious power supply. Figure
4 shows the total power supplied to the circuit versus the output power. For
ten watts output, the power supply will have to deliver 200 watts. For fifty watts output,
the supply will have to deliver 1200 watts. All the time. Figure
5 shows the supply voltage requirements versus output power. This voltage
ranges from about plus and minus fifteen volts for a five watt output to plus and minus
fifty-seven volts for a fifty watt output.
Figure 6 shows the suggested power
supply schematic. The power transformer should have a VA rating about twice that of the
dissipation figure obtained from figure 4,
and have split secondary windings to achieve the plus and minus supply voltages. The
nominal voltages of each secondary winding should be about twenty percent less than the DC
voltage desired. For example, to get an output of 25 watts from the circuit, we will need
a transformer with about a 1000 VA (one kilowatt) rating having split secondaries of about
32 volts each.
The power transformer shows twin primary windings, a configuration which allows
operation in parallel for 120 volts AC or in series for 240 volts AC. This is a common
feature in power transformers, but is not essential.
The rectifier bridge should have at least a twenty-five amp rating, and should have
heat sinking to the metal chassis. The air core inductors L1 and L2 have nominal values of
two milliHenries, and should be heavy gauge to carry as much as three amps DC. These are
available from MCM as part numbers 50-375 (MCM 1-800-824-8324).
Capacitors C1 through C4 should be as high values as possible. High values can be
achieved by paralleling capacitors if necessary. Lower impedances at high frequencies can
be achieved by paralleling film capacitors with these computer-grade electrolytics.
Fuse F1 should be a slow-blow type rated at least twice the anticipated current draw.
If the amplifier is projected to draw five hundred watts, then try a ten amp fuse. If it
fails, try a larger one.
Figure 6 shows the use of an variable
auto-former such as a Variac (tm) as an option prior to the power transformer. Plugging
the primary of the power transformer into the output of a high power variable auto-former
allows for a gentle startup, and also allows easy adjustment of the supply voltage. The
particular variable autoformer I used was Superior Electric brand Powerstat type 3PN136B,
rated at 0-140 volts AC and 22 amps.
Use of an Variac is not essential, but if you do not choose to use one, you should make
an allowance for current inrush when the amplifier is turned on. The do-it-yourselfers I
know are usually generous with the power supply capacitance, resulting in high turn-on
currents from the AC line. Various means of suppressing these are available, including,
but not limited to, power Thermistors from Keystone and available through Digikey such as
KC003L-ND.
More ambitious constructors may consider the use of active regulation of the power
supply. In this regard, there are no special requirements, except to make note of the high
continuous currents they will be called upon to deliver. Active regulation will improve
the noise measurements of the amplifier.
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| PERFORMANCE |
| Since there are no adjustments, turning the amplifier on for the first time consists
simply of firing it up. Using a multimeter, confirm that the differential DC voltage
across the speaker terminals is low, and that it is approximately one-third of the supply
voltage above ground. The sources of the Mosfets should be about four volts below ground. Assuming
these conditions are fulfilled, the amplifier is very probably operating properly. Sit
with it for a while to insure that nothing gets too hot. You should be able to touch, if
only briefly, the heat sinks carrying the Mosfets.
The amplifier will differentially reject power supply noise by about 26 dB, and so the
output AC ripple should be about five percent of the supply. If you have too much output
noise, you need more supply filtering. I easily achieved a 1 mV output noise using four
30,000 uF capacitors in the supply, and you should be able to match or better this figure.
Figure 7 shows a family of distortion
curves versus output power for several different supply levels, from about a 4 watt rating
to 30 watt rating. These curves were taken at one kiloHertz, but I did not find
significant variation versus frequency. The prototype amplifier went up to 30 watts with
45 volt supply rails, and drew about 700 watts per channel.
The distortion is monotonic in nature, characteristic of Class A operation, where
distortion becomes vanishingly small as the output level is reduced. Operated with
balanced input, the distortion is largely symmetric, reflecting the matching of the
devices, and is dominated by third harmonic content.
The amplifier is designed to be driven from a balanced source, but will operate with a
single input, with less gain and higher distortion. Simply ground the unused input.
Operating Son of Zen with a single-ended input will put some second harmonic content in
the output, possibly what you will desire.
In this regard, the amplifier adapts itself to the characteristic of the source. You
would expect symmetric distortion from a balanced source, and you might similarly expect
even harmonic content from an unbalanced source (We aim to please).
The frequency response is flat from DC to several MegaHertz, depending on the source
impedance and the inductance matching of the power resistors.
Assuming that the loudspeaker you are driving is efficient and forgiving of source
impedance, the Son of Zen has a wonderful sound, very direct and clear, without the
electronic veil imposed by complex feedback circuits. Modesty prevents further
auto-review. |
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