Toward High Efficiency Power Amps
Why do we accept
power amplifiers that get hot to the touch? Any component that gets warm
is wasting power - we should strive for amplifiers where every component
runs cool. Most standard amplifier designs result in efficiency in the
60% to 75% ballpark. Most of this power is consumed by the final amplifier
transistor, and dissipated away as heat. An amplifier that's 70% efficient
might put out 2 watts of RF power, and dissipate 0.857 watts as heat.
A state-of-the-art amplifier might
run at around 90% efficiency. I'd like to suggest a design path that moves
current amplifier design toward state-of-the-art performance. I won't go
for ultimate efficiency, but suggest a design approach that moves toward
the high efficiency goal. A quick scan will reveal no major circuit changes
- these schematics look mighty conventional. And you might be able to retrofit
conventional designs to improve their efficiency too.
I'd like to get
away from "Class-X" designations used to characterize non-linear amplifiers.
For Class-A, and Class-B (or Class-AB) amps, biasing and design is straightforward.
But Class-C through Class-E amps make very small distinctions in operating
conditions. Hey, they're all non-linear. Most transistor non-linear amps
break some of the conventional Class-C rules anyway. The circuit may look
like Class-C, but we'll end up using some Class-E techniques to boost efficiency.
Why do conventional amps get hot?
Let's concentrate on the final amp transistor collector
(or drain) circuit. Yes, the base (or gate) does accept some real power
that gets converted to heat. But most power losses involve the collector/emitter
(drain/source) area. We can separate losses into two main areas: saturation
losses, and switching or transition losses.
Saturation losses occur while the transistor
is conducting current between collector and emitter. If you think of the
transistor as a switch, it'd be ON. While ON, the collector-to-emitter
voltage can't quite pull to zero, especially when much current flows.
Transistor data sheets show graphs of saturation
voltage on the Y-axis, and collector-to-emitter current on the X-axis.
A 2N2222A shows this saturation voltage on a graph called "ON" VOLTAGES.
Base current is set at one tenth of collector current. Saturation voltage
is only 0.1 volts up to collector currents of 100 ma. From 100 ma to 500
ma, saturation voltage rises to 0.4 volts. Above 500 ma, you're stressing
this little transistor, and its saturation voltage rises rather abruptly.
Saturation voltage times collector/emitter current gives the power loss,
which ends up as heat. Unfortunately this heat raises saturation
voltage. A final amp transistor spends nearly half its time in this saturation
region. Increasing base drive is about all we can do to minimize saturation
losses.
When the transistor is OFF, so little current flows
that power dissipation is next to zero. While OFF, a transistor or FET
is very efficient.
The other loss mechanism (that causes heat) occurs
while the transistor switches from OFF to ON, and while switching from
ON to OFF. While ON, transistor collector-to-emitter voltage is very small,
but collector voltage may be significantly high at the onset of this ON
condition. While the collector voltage is dragging down, and current is
building toward the ON condition, significant power is consumed by the
transistor.
The ON-to-OFF transition is often quicker, and collector voltage often
doesn't rise all that quickly. This transition is likely less a problem
than the OFF-to-ON transition. Remember, there is one ON-to-OFF transition,
and one OFF-to-ON transition every cycle of the RF wave. For higher
transmit frequencies, these transition losses climb, making high frequency
efficient amps harder to do.
Much efficiency improvement results from minimizing
these transition losses:
-
Squarish-wave base drive rather than sine wave
-
Collector wave shape sculpting.
Driving the base with quick decisive transitions helps
shorten the transition time. We'd like the transistor either ON or OFF,
and spend as little time as possible in between. Choose a fast switching
(high frequency) transistor too.
Quite an efficiency gain can be had by collector
waveform sculpting. While the transistor is OFF, collector voltage
is solely determined by external components: the choke and the filter.
We can arrange these components, and choose values so that collector voltage
is near zero at transition times.
For the ON-to-OFF transition, collector voltage
is already near zero. As it turns off we want collector voltage to rise
slowly, rather than jump up fast. A conventional PI filter which has one
more capacitor than inductor has this characteristic slow start voltage
rise. We won't further address this transition.
For the OFF-to-ON transition, we can make some modification
to conventional design to significantly lower the collector voltage. This
involves choosing carefully the choke value that feeds DC current in from
the power supply. In conventional design, this choke is chosen to be much
larger than the resistance that the filter presents to the collector. This
is done so that the collector sees a more-or-less resistive load, since
the choke parallels the load.
Feeding supply voltage via a choke ensures that average collector
voltage is equal to the DC supply voltage (say, 12.0 volts). Since
about half the time (while ON) the collector drags the choke (and filter)
down close to zero volts, the collector must swing up far above 12 volts
while the transistor is OFF. Peak collector voltage swings up to near 30
volts in a sinewavish fashion while the transistor is OFF, and starts down
toward 12 volts before the transistor turns ON again. In many designs,
at the onset of turning ON, collector voltage is still quite high (perhaps
around 12v). The collector must drag this voltage down to zero, causing
a spike of power dissipation. Remember, this happens seven million times
a second for a 7 MHz. amplifier.
Now if we choose a choke of smaller value than the
design criteria above, the collector waveform changes while the transistor
is OFF. It rises to a higher peak, and then it falls to a lower voltage.
If we choose the choke value carefully, the collector voltage can swing
right down to zero at the moment of transistor turn-ON. This is exactly
what is needed to practically eliminate the power dissipation spike at
the OFF-to-ON transition. And this single change can significantly boost
efficiency, if other criteria (high, square wave drive) are met.
What's the downside?
We need a transistor that can take the extra collector
voltage swing. Peak collector voltage might rise up to 40 volts rather
than 30 volts. And peak collector current is larger too (at the end of
the ON period). Peak collector current is larger because while ON, the
transistor builds extra current through the small choke. This current is
dumped into the filter (during the OFF period) and must be replenished
during the next ON period. The result is that the filter sees a larger
swing, which translates to slightly larger output RF power. So you can
see that the extra voltage and current that the transistor encounters is
not wasted.
With a small choke, collector voltage has a higher,
narrower peak. This tends to increase even-order harmonics presented to
the filter. The filter has more difficulty rejecting the 2nd harmonic enough
to meet FCC specs. Second harmonics can be reduced by designing the filter
for a slightly lower cutoff frequency, and extending the OFF period at
the expense of the ON period (this must be done at the base drive). You'll
get slightly less power out as a result.
You'll also need to more carefully address power
supply filtering at the power supply end of the choke. The small choke
results in large peak-to-peak currents drawn from the supply. The supply-end
of the choke will tend to get yanked around: excellent, short-leaded bypass
capacitors should be employed to ensure a steady voltage at this point.
Larger current swings around the transistor/choke/bypass
area could cause ground-loop problems for the amplifier that drives the
base. Even more care must be taken with component placement and printed
circuit layout issues when this design technique is employed.
The higher drive levels needed for efficient operation
mean that final amp gain is less than normal. More power is required of
the driver stage. A compromise is reached where driver dissipation eats
into good final amp efficiency.
An example design
Let's try a design that requires no final amp heat sink.
Square wave drive will be ensured by using a TTL open-collector bus
driver chip, originally meant to drive resistor-terminated computer backplane
busses. The most appropriate (based on switching speed) is the 75450-series
of dual bus drivers. The on-chip driver transistor will be the final amp.
We'll pull about a watt from this chip - and it will hardly get warm.
The open-collector transistor has saturation voltage
spec'd at about 0.23v @ 100 ma and 0.5v @ 300 ma. Collector breakdown
voltage is about 40 v. We'll push this transistor close to these limits.
According to the data sheet, it takes about 5 ns.
for the transistor to turn OFF and 7 ns. to turn ON. Propagation times
of 27 ns. are not critical for our application. The final amp transistor
has its base driven from an internal drive circuit that provides a square
shape. I'll include a method for tweaking the ON vs. OFF timing of this
drive to optimize the switching point.
Let's go for a 40 meter design. The output
PI filter is tackled first, using conventional approach. You could use
HANDBOOK filter tables, or computer design programs. I started with a program
called FDS2 by Bob Lombardi (WB4EHS). Second
harmonic suppression is one key design goal of this filter. A 5-element
PI filter is likely OK. To increase second harmonic attenuation, I chose
a Chebychev response having about 0.1 dB passband ripple. You ought not
get too aggressive (choosing higher passband ripple) because component
values become more critical. The output impedance is 50 ohms while the
input impedance is chosen to be 100 ohms. In conventional design, the input
impedance is chosen using the formula Z= Vcc2/(2Po). With a
12 v supply, one watt Po gives us Z of 72 ohms. When we employ the
small-choke trick, we'll end up with more than one watt, hence the design
Z of 100 ohms. A few stabs at FDS2 with slightly different cutoff
frequencies and input impedance yields the following filter.
Its no use plotting this filter response in an attempt
to discover how much attenuation the second harmonic will experience. For
one thing, our final transistor is driving this filter in a very non-linear
fashion: ON (low-impedance) then OFF (high-impedance). And since we'll
be varying the driving pulse width anyway, the second harmonic content
going into the filter is unknown. We'll just have to measure the second
harmonic on a spectrum analyzer (or do a fourier transform from 'scope
data) and hope that it is lower than -30 dBc.
Next, we'll tackle the choke value. At first, the filter and a voltage-controlled
switch were entered into a PSPICE schematic along with the choke and 12v
DC supply. The choke value was changed until the switching waveform swung
down near zero volts at the bottom, just as the switch turns ON. This simulation
worked out very accurately in practice, with measured collector voltage
swinging very close to zero.
This amplifier was bread boarded and driven from
a TTL function generator at 7 MHz. into a 50 ohm dummy load.
DC current measured 0.093amps, and output power was 1.04 watts RMS.
This gives 93.2% collector efficiency. Not bad, right out of the box! Remember,
the only difference between this and a conventional design is beefy square-wave
drive, and a carefully chosen collector choke.
A complete, 85% efficient transmitter
The
switching transistor shown above is included inside the 75451 bus-driver
chip. To make a proper transmitter, a 7 MHz. signal source that can drive
a TTL input gate is needed. And the TTL bus driver requires a +5v source
of DC voltage. One transistor is used (in an emitter follower circuit)
to give a fairly solid 5.2 volt DC. supply. Another transistor oscillates
in a standard Colpitts crystal controlled circuit to provide enough signal
to switch a TTL gate on and off. There are actually two bus drivers in
the 8-pin 75451 chip - one is used to square up the oscillator signal.
A variable resistor adjusts the duty cycle of this square wave to provide
a way of switching the output transistor ON at the optimum time point.
Start this variable 1K resistor at its maximum
value. At minimum value, after a microsecond or two, current will
build high enough to destroy this transistor! The control should
ideally be set by observing pin 5 (collector) voltage on a scope. Adjust
till the ON period (when the voltage is yanked to zero) starts at
the lowest point of the collector swing. If you don't have a 'scope, monitor
DC current drawn from the 12v supply...with key down, decrease its value
until DC current rises to about 100 ma.
The external key is a standard "turn on by grounding"
connection that starts up the oscillator by grounding its emitter. No chirp
was noticed, however the keying is not shaped and may seem rather clicky.
The next step will be to make a power oscillator,
where some of the output signal is fed back through a crystal to the TTL
input. This will eliminate the oscillator transistor, and make a really
efficient, simple transmitter. My first attempt worked too well - once
keyed, it remained oscillating....even after the key went up. I called
it a one-dah transmitter. Once the too-eager oscillation is tamed,
it'll appear here.