[Ideas For Design]
Perform Coarse And Fine Correction With Less Costly Dual DCPS
Reza Bahadur,
Tamara Schmitz,
Mike Wong
ED Online ID #19771
October 2, 2008
Copyright © 2006 Penton Media, Inc., All rights reserved. Printing of this document is for personal use only.
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DIGITALLY CONTROLLED POTENTIOMETERS (DCPS) find uses in a
wide variety of systems for setting bias currents, variable reference
voltages, and calibration settings. In industrial control and automation
applications, high accuracy is a must. DCPs with 1024 taps are
available, but for a few dollars instead of tens of cents. A dual, 32-tap,
50-k DCP is available for 40 cents. Can we use both of the DCPs in
the package and reach similar performance to the 1024 tap?
Using the dual 32-tap DCP, the first inclination might be to
simply stack one atop the other. This only doubles the effective
resolution, and many DCPs aren’t configured to allow that type of
connection. By the way, it’s common practice to span a DCP over
a smaller voltage range to increase its resolution, but that’s not
the optimum solution here.
However, both DCPs can be used simultaneously. In fact, instead
of a linear gain of 2 in resolution, it’s possible to increase the resolution
by 322, or 1024. Both DCPs will stretch between ground and
the power supply. One will give coarse adjustment and the second
will give fine adjustment. In other words, one provides the most
significant 5 bits and the other provides the least significant 5 bits.
The critical components are the weighted resistors within the summing
circuit.
Referencing Figure 1, resistor RFINE needs to be 32 times the value
of RCOARSE (in our 32-tap potentiometer example). For various DCP tap
values, the resistance needs to scale so that:
RFINE = RCOARSE × (number of taps)
The feedback resistor of the summing op amp has a value of 953
(1% resistor value). This is the closest approximation below the
parallel combination of 1 k and 32 k.
Realize that the resolution will not always increase by the square
of the number of taps, as in this example. Aforementioned DCPs
have 1024 taps. This coarse/fine setup should theoretically give a
resolution equal to 10242 taps, or 1,048,576 taps. On a 5-V supply,
the LSB would be equal to 4.7 V. Are op amps this accurate?
If we need absolute accuracy to dc, then the parameter of interest
is offset voltage. For the ISL28194, the typical offset is 0.1 mV (or
100 V), since it’s a precision op amp. This will limit our achievable
accuracy. If a more typical amp is chosen, the offset voltage might
range from 5 mV to 25 mV. Because op amps are readily available
with 5-mV offsets, it follows that the maximum number of taps commercially
available is 1024.
Note that the output will be the inversion of the sum of the two
inputs. Figure 2 presents the output voltage data. An ideal circuit
would show a linear response across all 1024 taps. While the circuit
does exhibit some nonlinearities at the ends of the voltage spectrum,
the linear range extends from about 100 to 900 taps in the coarse/
fine spectrum. Those 800 taps translate to 9.6 bits—a respectable
output for a dual 32-tap DCP—and it definitely rivals the more expensive
1024-tap, 10-bit DCP solution.
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