Kevin Duke
TI Precision Designs: Verified Design
Bipolar +/-10V Analog Output from a Unipolar Voltage
Output DAC
TI Precision Designs
Circuit Description
TI Precision Designs are analog solutions created by
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schematic & layout, bill of materials, and measured
performance of useful circuits. Circuit modifications
that help to meet alternate design goals are also
discussed.
This unipolar to bipolar signal conditioning circuit uses
an op amp with negative feedback and three resistors
in a modified summing amplifier configuration to
generate high-voltage bipolar outputs from a generic
single supply unipolar digital-to-analog converter
(DAC). This design will take consideration for
generating voltage outputs commonly used in
industrial process control applications and for driving
reactive loads such as long cables also common in
industrial applications. The fundamentals of the
design can be extended to condition any unipolar
DAC to any bipolar range of operation.
Design Resources
Design Archive
TINA-TI™
DAC8560
OPA188
Ask The Analog Experts
WEBENCH® Design Center
TI Precision Designs Library
All Design files
SPICE Simulator
Product Folder
Product Folder
RG1
RFB
VREF
RG2
VOUT
DAC
+
An IMPORTANT NOTICE at the end of this TI reference design addresses authorized use, intellectual property matters and
other important disclaimers and information.
TINA-TI is a trademark of Texas Instruments
WEBENCH is a registered trademark of Texas Instruments
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Bipolar +/-10V Analog Output from a Unipolar Voltage Output DAC
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1
Design Summary
The design requirements are as follows:
DAC Supply Voltage: +5 V dc
Amplifier Supply Voltage: ±15 V dc
Input: 3-wire, 24-bit SPI
Output: ±10 V dc
The design goals and performance are summarized in Table 1. Figure 1 depicts the measured transfer
function of the design with a triangle wave output.
Table 1: Comparison of Design Goal, Simulation, and Measured Performance
Goal
Simulated
Measured
Total Unadjusted Error (%FSR)
0.250
0.230
0.0939
Capacitive Drive (nF)
20
20
20
Figure 1: Full-Scale Output of Design
2
Bipolar +/-10V Analog Output from a Unipolar Voltage Output DAC
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2
Theory of Operation
A more complete schematic for this design, including capacitive load compensation, is shown in Figure 2.
The dc transfer function is based on the ratio of the feedback resistor RFB and gain setting resistors RG1
and RG2.
RG1
RFB
CCOMP
VREF
RG2
VOUT
+
DAC8560
RISO
OPA188
CLOAD
Figure 2: Complete Circuit Schematic
The dc transfer function for this design is defined as:
R
R
R
VOUT 1 FB FB VDAC FB VREF
RG 2
RG 2 RG1
2.1
(1)
Choosing Resistor Values
The amplifier in this circuit uses negative feedback to ensure that the voltage at the inverting and noninverting terminals are equal. When the DAC output is at zero-scale (0 V) the inverting terminal is a virtual
ground so no current will flow across RG1, this causes the circuit to function as an inverting amplifier with
gain equal to RFB / RG2. When the DAC output is full-scale (VREF) the inverting terminal potential is equal to
VREF so no current will flow across RG2, this causes the circuit to function as a non-inverting amplifier with
gain equal to (1 + RFB / RG1).
A simple three-step process can be used to select the resistor values used to realize any bipolar output
range using any generic unipolar DAC. For this design VREF was selected to be 2.5 V, a very common
internal reference value for a generic DAC and a readily available external reference value. The desired
output range for this design is ±10 V.
First, using the transfer function shown in Equation 1, consider the negative full-scale output case when
VDAC is equal to 0 V, VREF is equal to 2.5 V, and VOUT is equal to -10 V. This case is used to calculate the
ratio of RFB to RG2 and is shown explicitly in Equation 2.
R
R
R
10V 1 FB FB 0 FB 2.5V
RG 2
RG 2 RG1
10V
(2)
RFB
2.5V
RG 2
RFB 4 * RG 2
SLAU525-June 2013-Revised June 2013
Bipolar +/-10V Analog Output from a Unipolar Voltage Output DAC
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Second, consider the positive full-scale output case when VDAC is equal to 2.5 V, VREF is equal to 2.5 V,
and VOUT is equal to 10 V. This case is used to calculate the ratio of RFB to RG1 and is shown explicitly in
Equation 3.
R
R
R
10V 1 FB FB 2.5 FB 2.5V
RG 2
RG 2 RG1
(3)
R
10V 1 FB 2.5V
RG1
RG1
RFB
3
Finally, seed the ideal value of RG2 to calculate the ideal values of RFB and RG2. The key considerations for
seeding the value of RG2 should be the drive strength of the reference source as well as choosing small
resistor values to minimize noise contributed by the resistor network. For this design R G2 was chosen to be
8.25kΩ which will limit the peak current draw from the reference source to ~333µA under nominal
conditions, which is well within the 20mA limit of the DAC8560. In this case, the ideal and nearest 0.1%
tolerance, 0603 package values for each resistor are identical.
Table 2: Values of Resistor Network
Resistor
Value
RG1
11kΩ
RG2
8.25kΩ
RFB
33kΩ
Standard values for 0.1% resistors can be an obstacle for this design and it may take multiple iterations of
seeding the values to find real components or they may not exist. Work-arounds can include utilizing
multiple resistors in series and/or parallel, using potentiometers for analog trim calibration, or providing
extra gain in the output circuit and applying digital calibration. In systems where the output voltage must
reach the design goal end-points (±10 V) it may be desirable to apply additional gain to the circuit. This
approach may contribute additional overall system error since the end-point errors will vary from system to
system. For this design, the exact values calculated in the design process will be used to keep error
analysis easy to follow.
To deliver a “near-universal” cable drive solution, CLOAD is chosen to be relatively large compared to typical
cable capacitance such that its capacitance will dominate the reactive load seen by the output amplifier. To
drive larger capacitive loads RISO, CCOMP, and CLOAD may need to be adjusted.
4
Bipolar +/-10V Analog Output from a Unipolar Voltage Output DAC
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3
3.1
Component Selection
DAC Selection
For convenience, devices with an external reference option or devices with accessible internal references
are desirable in this application since the reference is used to create an offset. The DAC selection in this
design should primarily be based on dc error contributions typically described by offset-error, gain-error,
and integral non-linearity error. Occasionally additional specifications are provided that summarize endpoint errors of the DAC typically called zero-code error and full-scale error. For ac applications additional
consideration may be placed on slew rate and settling time.
3.2
Amplifier Selection
Amplifier input offset voltage (VOS) is a key-consideration for this design. VOS of an operational amplifier is
a typical datasheet specification but in-circuit performance is also impacted by drift over temperature, the
common-mode rejection ratio (CMRR), and power supply rejection ratio (PSRR) so consideration should
be given to these parameters as well. For ac operation additional considerations should be made
concerning slew rate and settling time. Input-bias current (IB) can also be a factor, but typically the resistor
network is implemented with sufficiently small resistor values that the effects of input-bias current are
negligible.
3.3
Passive Component Selection
Resistor matching for the op amp resistor network is critical for the success of this design and components
should be chosen with tight tolerances. For this design 0.1% resistor values are implemented but this
constraint may be adjusted based on application specific design goals. Resistor matching will contribute to
both offset error and gain error in this design, as shown in the simulation section of this document. The
tolerance of stability components RISO and CCOMP is not critical and 1% components are acceptable.
SLAU525-June 2013-Revised June 2013
Bipolar +/-10V Analog Output from a Unipolar Voltage Output DAC
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4
4.1
Simulation
DAC DC Transfer Function
The TINA-TI™ schematic shown in Figure 3 implements the circuit using an ideal op amp and the ideal
resistor values as obtained in the design process. This model is used to simulate system offset and gain
errors that are contributed by the DAC8560. The DAC8560 is modeled by an ideal voltage source
sweeping from 0 V to 2.50 V along with a non-inverting amplifier with gain to simulate the effects of the
DAC8560 typical gain error of ±0.05% FSR. Additionally, a series voltage source of 5 mV is included to
model the typical DAC8560 offset error. Since an INL model is not as straight forward, it will be calculated
from the datasheet. This will not mimic the real device behavior since it does not include a zero-code error
model, but will be sufficient to estimate performance over the linear region of operation of the DAC.
Rg1 11k
Rg2 8.25k
R2 10k
Rfb 33k
R1 5
-
Vout
-
VREF 2.5
+
+
Gerror_dac
+
+
Vos_dac 5m
IOP2
VDAC
DAC8560
Figure 3: TINA-TI™ - DAC End-Point Error Schematic
The dc transfer function simulation results of the circuit in Figure 3 are shown in Figure 3 and Figure 4.
The results will be used along with the simulation results of the op amp and resistor tolerances to
determine overall system offset error, gain error, and total unadjusted error (TUE).
Table 3: Simulated DAC Performance
6
Parameter
Simulated Value
Negative Full-Scale Voltage (V)
-9.96
Zero-Scale Voltage (V)
0.04
Positive Full-Scale Voltage (V)
10.05
Offset Error (% FSR)
0.200
Gain Error (% FSR)
0.050
INL Error (%FSR)
0.006
Total Unadjusted Error (%FSR)
0.206
Bipolar +/-10V Analog Output from a Unipolar Voltage Output DAC
Copyright © 2013, Texas Instruments Incorporated
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10.00
10.05 V
Output Voltage (V)
5.00
0.00
40 mV
-5.00
-9.96 V
-10.00
0.00
1.25
DAC Voltage (V)
2.50
Figure 4: TINA-TI™ - DC Transfer Characteristic
The following equations were used to calculate the error parameters in Table 3 based on the information in
Figure 4. The total unadjusted error equation uses a root-sum-squared (RSS) technique to sum
uncorrelated error sources.
VOUT MidScale
OffsetError(% FSR)
VOUT
VOUT Ideal( MIN )
Ideal( MAX )
GainError%FSR
V
OUT( MAX )
INLERROR(% FSR)
*100
VOUT( MIN ) VOUTIdeal ( MAX ) VOUTIdeal ( MIN )
VOUTIdeal ( MAX ) VOUTIdeal ( MIN )
* 100
INLERROR LSB * LSB * GAIN
*100
VOUTIdeal( MAX ) VOUTIdeal( MIN )
TUE% FSR OffsetError% FSR GainError% FSR INLERROR% FSR
2
SLAU525-June 2013-Revised June 2013
(4)
2
(6)
2
Bipolar +/-10V Analog Output from a Unipolar Voltage Output DAC
Copyright © 2013, Texas Instruments Incorporated
(5)
(7)
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4.2
Op Amp & Passives DC Transfer Function
The TINA-TI™ schematic shown in Figure 5 implements the OPA188 model and Monte-Carlo analysis for
the resistor network with 0.1% tolerances and a normal distribution. In this simulation the DAC will be
represented by an ideal voltage source sweeping from 0 V to 2.5 V. This model is used to simulate the
offset error and gain error contributed by the resistors and op amp. The Monte Carlo dc transfer function is
depicted in Figure 6.
RG2 11k
V1 15
RFB 33k
C1 1u
VCC
Ccomp 150p
VSS
C4 100p
C5 100n
RG1 8.25k
U1 OPA188
+V
+
Cload 20n
V2 -15
C2 1u
+
VREF 2.5
VOUT
Riso 70
VSS
VDAC
C6 100p
C7 100n
VCC
Figure 5: TINA-TI™ - DC Transfer Characteristic
20.00
VOUT[1] A:(0; -9.994482)
VOUT[2] A:(0; -10.004337)
VOUT[3] A:(0; -10.00028)
VOUT[4] A:(0; -9.999935)
VOUT[5] A:(0; -10.00237)
VOUT[6] A:(0; -10.002995)
VOUT[7] A:(0; -10.001513)
VOUT[8] A:(0; -10.002818)
VOUT[9] A:(0; -9.996655)
VOUT[10] A:(0; -9.99337)
Output Voltage (V)
10.00
VOUT[1] A:(1.25; -107.339128u)
VOUT[2] A:(1.25; 684.300937u)
VOUT[3] A:(1.25; -448.4154u)
VOUT[4] A:(1.25; 107.987098u)
VOUT[5] A:(1.25; -786.022041u)
VOUT[6] A:(1.25; -1.738254m)
VOUT[7] A:(1.25; -969.044351u)
VOUT[8] A:(1.25;VOUT[9]
-443.762704u)
VOUT[9] A:(1.25; -56.172436u)
VOUT[10] A:(1.25; 1.785828m)
0.00
VOUT[1] A:(2.5; 9.994267)
VOUT[2] A:(2.5; 10.005706)
VOUT[3] A:(2.5; 9.999384)
VOUT[4] A:(2.5; 10.000151)
VOUT[5] A:(2.5; 10.000798)
VOUT[6] A:(2.5; 9.999518)
VOUT[7] A:(2.5; 9.999575)
VOUT[8] A:(2.5; 10.001931)
VOUT[9] A:(2.5; 9.996543)
VOUT[10] A:(2.5; 9.996942)
-10.00
-20.00
0.00
1.25
DAC Voltage (V)
2.50
Figure 6: TINA-TI™ - Monte-Carlo Simulation of Output Circuit
8
Bipolar +/-10V Analog Output from a Unipolar Voltage Output DAC
Copyright © 2013, Texas Instruments Incorporated
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The results of a 10 iteration Monte-Carlo simulation of the output circuit are shown in Table 4.
Table 4: Output Circuit Monte-Carlo Results
Min
Max
Average
Std. Dev. (σ)
Offset Error (mV)
-1.738
1.785
-0.197
0.958
Full-Scale Range (V)
19.988
20.010
19.999
0.006
Full-Scale |Error| (mV)
0.086
11.251
4.972
N/A
The standard deviation of the Monte-Carlo results can be used to generate a more realistic error figure for
the system by multiplying the standard deviation by 3, commonly referred to as a 3-σ system. This error
figure should encompass 99.7% of the systems, leaving out absolute worst-case resistor mis-matches that
are highly unlikely to occur. These errors are summarized in Table 5. The equations used to calculate
each error are shown below:
OffsetError(% FSR)
GainError(% FSR)
3 * OffsetError
VOUTIdeal( MAX ) VOUTIdeal( MIN )
*100
3 * GainError
*100
VOUTIdeal( MAX ) VOUTIdeal( MIN )
(8)
(9)
Table 5: Simulated Output Circuit Performance
4.3
Parameter
Simulated Value
Offset Error (% FSR)
0.0143
Gain Error (% FSR)
0.1004
INL Error (%FSR)
0.0000
Total Unadjusted Error (%FSR)
0.1014
System dc Transfer Function
The combined accuracy of simulation results of the DAC and output circuit are summarized in Table 6. The
values were calculated using a RSS technique similar to that shown in Equation 7. The output circuit
contributes very low error to the system which allows for the DACs performance to dominate what is seen
at the output. In this case the DAC errors are gained up by 8 since the 0-2.5 V range was scaled up to
±10 V. If less gain is applied to the DAC output signal its error contributions will decrease.
Table 6: Simulated Circuit Performance
Parameter
Simulated Value
Offset Error (% FSR)
0.200
Gain Error (% FSR)
0.112
INL Error (%FSR)
0.012
Total Unadjusted Error (%FSR)
0.230
SLAU525-June 2013-Revised June 2013
Bipolar +/-10V Analog Output from a Unipolar Voltage Output DAC
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4.4
Step Response
The step response of the design is shown in Figure 7. The results show that the output settles to the
proper value with very little overshoot and ringing while driving the 20nF C LOAD, indicating a stable design.
The stable response was obtained by manipulating the compensation components, RISO and CCOMP. See
Reference 1 more information on stability.
6.20
Output Voltage (V)
6.15
6.10
6.05
6.00
0.00
25.00u
Time (s)
50.00u
Figure 7: TINA-TI™ - Step Response
10
Bipolar +/-10V Analog Output from a Unipolar Voltage Output DAC
Copyright © 2013, Texas Instruments Incorporated
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5
PCB Design
The PCB schematic and bill of materials can be found in Appendix A.
5.1
PCB Layout
The PCB layout for this design is shown in Figure 8. For this layout follow general PCB layout guidelines.
Pay particular attention to placement and routing of the summing node at the inverting input of the op amp.
This node should be kept small, placed as close to the inverting input terminal as possible, and a pour cut
out should be included on all pours below the inverting node to reduce parasitic capacitance.
Figure 8: PCB Layout
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6
6.1
Verification & Measured Performance
Transfer Function
The graph in Figure 9 was collected by applying input codes ranging from 0 to 65535 to the DAC and
measuring the output voltage on a single system.
10
8
6
Output Voltage (V)
4
2
0
-2
-4
-6
-8
-10
0
10000
20000
30000
40000
50000
60000
Input Code (Decimal)
Figure 9: Output Voltage vs. Input Code
To easily visualize the error of the system the difference between the ideal output voltage and measured
output voltage of the circuit in %FSR is plotted in Figure 10. The average error across the full-scale range
of codes shown in Figure 10 is 0.017%FSR and the two-point line of best fit analysis of the same unit
indicates a total unadjusted error of 0.0167%FSR – indicating that the two-point line of best fit is an
accurate estimate of typical system accuracy, although there are outliers.
12
Bipolar +/-10V Analog Output from a Unipolar Voltage Output DAC
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0.04
0.035
Output Error (%FSR)
0.03
0.025
0.02
0.015
0.01
0.005
0
0
10000
20000
30000
40000
50000
60000
Input Code (Decimal)
Figure 10: Output Voltage Error vs. Input Code
The average results observed over 8 units are shown in Table 7. These results were measured using a
two-point line of best fit measured at codes 485 and 64714 to be consistent with the specifications
provided in the DAC8560 datasheet. The equations used to calculate these values are shown in Equations
10 and 11.
Table 7: Measured Circuit Performance
Parameter
Measured Value
Offset Error (% FSR)
0.0705
Gain Error (% FSR)
0.0125
INL Error (%FSR)
0.0060
Total Unadjusted Error (%FSR)
0.0939
GainError(% FSR)
OffsetError(% FSR)
SLAU525-June 2013-Revised June 2013
V
OUTREAL ( 64714)
VOUTREAL ( 485) VOUTIDEAL( 64714) VOUTIDEAL( 485)
VOUTIDEAL( 64714) VOUTIDEAL( 485)
*100
VOUTREAL ( 64714) VOUTREAL ( 485)
VOUTREAL ( 485)
* 485 10
64714 485
*100
VOUTIDEAL( MAX ) VOUTIDEAL( MIN )
(10)
(11)
Bipolar +/-10V Analog Output from a Unipolar Voltage Output DAC
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6.2
Transient Response
To observe a full-scale step response and settling time of the system, a square wave corresponding to the
zero-scale code and full-scale code were applied to the digital inputs of the DAC. Figure 11 shows this
step response.
Figure 11: Full-Scale Step Response
14
Bipolar +/-10V Analog Output from a Unipolar Voltage Output DAC
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To test the small signal stability of the design a digital input corresponding to a 200mV output step
response centered about midscale output of the system was applied to the DAC. Figure 12 illustrates the
resulting step response that shows a small period of digital feedthrough followed by very little overshoot or
ringing, indicating a stable design.
Figure 12: Small-Signal Stability
SLAU525-June 2013-Revised June 2013
Bipolar +/-10V Analog Output from a Unipolar Voltage Output DAC
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7
Modifications
The components selected in this design were chosen based on the design goals outlined at the beginning
of this document. The DAC selection can be very open since the output circuit is applicable to any device
and should be made based on specific design goals. Alternative DACs may provide enhanced linearity,
gain error, and offset error as well as alternative interface options, channel count, resolution, and other
auxiliary features. Table 7 shows a few DACs that may be used in place of the DAC8560.
Modifications to improve the accuracy of this design are possible by choosing a more precise DAC and by
utilizing an external reference source. For this design, delivering a very low-cost solution was a critical
parameter and some sacrifices were made. Additionally, the implementation of external calibration can
greatly enhance results.
Table 8: Alternate DAC Options
DAC
Gain Error (Typ)
Offset Error
(Typ)
INL Error (Typ)
Resolution
Channel Count
DAC8560
±0.05 %FSR
±5 mV
±8 LSB
16 bits
1
DAC8562/3
±0.01 %FSR
±1 mV
±4 LSB
16 bits
2
DAC8564
±0.05 %FSR
±5 mV
±4 LSB
16 bits
4
DAC8568
±0.01 %FSR
±1 mV
±4 LSB
16 bits
8
DAC8411
±0.05 %FSR
±0.05 mV
±1 LSB
16 bits
1
DAC8881
±4 LSB
±4 LSB
±0.5 LSB
16 bits
1
The OPA188 is an excellent wide-supply amplifier with very low input offset voltage and input offset
voltage drift due to its chopper topology. Other op amps may be selected that offer lower noise, zero
cross-over distortion, or higher bandwidth. Designs that deliver a smaller output range have many more
options available since the supply voltage requirements are lowered.
Table 9: Alternate Op Amp Options
8
Amplifier
Max Supply
Voltage
Offset Voltage
(Typ)
Offset Drift (Typ)
Bandwidth
Quiescent
Current
OPA180
36 V
OPA188
36 V
15 µV
0.1 µV/C
2 MHz
450 µA
6 µV
0.085 µV/C
2 MHz
450 µA
OPA170
36 V
0.25 mV
0.3 µV/C
1.2 MHz
110 µA
OPA211
36 V
30 µV
0.35 µV/C
80 MHz
3.6 µA
OPA227
36 V
10 µV
0.1 µV/C
1 MHz
790 µA
OPA140
36 V
30 µV
0.35 µV/C
11 MHz
1.8 mA
OPA277
36 V
10 µV
0.1 µV/C
1 MHz
790 µA
About the Author
Kevin Duke is an applications engineer in the precision digital to analog converters group at Texas
Instruments where he supports industrial and catalog products and applications. Kevin received his BSEE
from Texas Tech University in 2010.
16
Bipolar +/-10V Analog Output from a Unipolar Voltage Output DAC
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Acknowledgements & References
1.
T. Green (2012).
Operational Amplifier Stability, Part 10 of 15: Capacitor Loop Stability: Riso with Dual Feedback.
Available: http://www.en-genius.net/site/zones/acquisitionZONE/technical_notes/acqt_050712
SLAU525-June 2013-Revised June 2013
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Appendix A.
A.1 Electrical Schematic
Figure A-1: Electrical Schematic
18
Passive Name in Text
Passive Name in Schematic
RG1
R1
RG2
R2
RFB
R3
RISO
R4
CCOMP
C7
Bipolar +/-10V Analog Output from a Unipolar Voltage Output DAC
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A.2 Bill of Materials
Figure A-2: Bill of Materials
SLAU525-June 2013-Revised June 2013
Bipolar +/-10V Analog Output from a Unipolar Voltage Output DAC
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