Questions are frequently asked about what to use as a speaker load for testing amps. Should you use a big resistor, or a more advanced passive load?
The following is a great post reproduced with Randalls permission, which looks at this issue and prescribes a couple of different passive networks that provide a real world load to your amp. I have not made any edits to the text, but the pictures have been redrawn (hopefully correctly!) from their original ASCII art representations.
From: Randall Aiken <reaiken@mindspring.com>
Newsgroups: alt.guitar.amps
Subject: Re: proper dummy load on output of tube amp?
Date: Sun, 13 Dec 1998 00:49:05 -0500
Organization: MindSpring Enterprises
Lines: 159
Message-ID: <36735551.4BEA@mindspring.com>
Below is a copy of a post I made a year or two ago on a reactive speaker
load design. I edited it a bit, since the original post was updated at
a later time. I also intend to update it again soon, as I plan to make
some impedance measurements of my favorite 4x12 Marshall cab (with
original G12M-30's, which I think sound better than greenbacks), and in
corresponding with other people who have done some impedance
measurements, I think the resonant peak may not be as large as shown
below, because of the interaction of the 4 speakers in series/parallel.
The circuit below more accurately matches a single speaker impedance
plot. If you want to change it, I have given the formulas for
calculations below.
Here is the (edited) original post:
A speaker presents a varying impedance load to the amp. The stated
impedance is usually measured at 400Hz, and can vary widely over the
frequency range. Speakers generally have a large resonant peak that
can be as much as 5 times the rated impedance, or even higher. The
impedance also starts to rise upward following the trough impedance at
400Hz. This rise can occur at varying frequencies and have a varying
rate, depending upon the speaker and its enclosure.
Here is a copy of my design for a circuit that will simulate the
impedance variations you get with a 16 ohm speaker cabinet. The real
speaker will probably vary depending upon how hard it is driven, due to
motional restrictions of the cone, which this circuit will not do.
This circuit will make the amp react to the load, unlike pure resistive
dummy loads, but if you want to tap off the input and send the signal
to a board, or other equipment, you will need to attenuate it with a
voltage divider, and low-pass filter it to simulate the frequency
response rolloff of the amp.
The impedance plot for this circuit looks like this:
A true speaker impedance is somewhat lower at DC than its nominal rated
impedance. If you want to make a closer approximation of the impedance
curve, you could add more reactive elements to make the impedance look
like 16 ohms only at the trough, and make it lower between DC and the
resonant peak. The circuit would look like this:
The impedance plot for this circuit looks like this:
These circuits are designed to present a 16 ohm nominal load to the amp;
if you want a different impedance, you will have to scale the resistive
and reactive elements accordingly. The impedance scaling factor will be
Z = Znew / Zold, and the new element values will be as follows:
R' = Z x R
L' = Z x L
C' = C / Z
The primed elements indicate the values after scaling.
Be sure to take into account the higher currents at the lower impedance
levels and adjust the inductor current values and resistor power levels
accordingly.
If you want to add a line out feature for recording, tap off the input
of the circuit; that is, at the junction of the amplifier output and R1.
Use a resistive divider to lower the signal level (make sure the divider
resistance is much larger than the output or load impedance). Note that
this circuit provides a load impedance that approximates a speaker, but
it does not provide a frequency response that approximates a speaker.
If you want to use such a device as a silent load for recording, you
will have to add further lowpass, highpass, and bandpass filtering that
approximates a speaker frequency response for it to sound good.
In addition, you can adjust the resonant circuit values (L2/C1)to change
the location of the resonant peak to closer match the speaker/cabinet of
your choice. The formula for the frequency of the resonant impedance
peak is as follows:
f = 1/(2*PI*SQRT(L2*C1))
R2 limits the amplitude of the resonant peak and can be adjusted as well
if desired. The peak impedance limit is equal to R1+R2+R4.
The high frequency impedance limit is primarily set by R3 and is equal
to R1+R3+R4.
Note that the large value bipolar caps can be converted to smaller film
(or other type) caps if you use a capacitance transformer (if you don't
know what this is, you shouldn't be messing around with this circuit!).
In fact, if you do it right, you might be able to replace the parallel
inductor with the primary inductance of the capacitance transformer.
Once again, if you build one of these and it blows up your vintage
Plexi, I won't be held responsible. :)
Randall Aiken
reaiken@mindspring.com