SLYA042 July   2024 FDC1004 , FDC1004-Q1

 

  1.   1
  2.   Abstract
  3.   Trademarks
  4. Introduction
  5. CSAs and Input Bias Stage
  6. CSA and Gain Error Factor
  7. Applications for Resistance at Input Pins of Current Sense Amplifiers
    1. 4.1 Input Resistance Design Considerations
  8. Applications for Input Resistance at Reference Pins of Current Sense Amplifiers
    1. 5.1 Bidirectional CSA and Applications
    2. 5.2 Driving CSA Reference Pin With High-Resistance Source Voltage
    3. 5.3 Input Resistance at Reference Pin Design Considerations
  9. Design Procedure and Error Calculation for External Input Resistance on CSA
    1. 6.1 Calculating eEXT for INA185A4 With 110Ω Input Resistors
  10. Design Procedure for Input Resistance on Capacitively-Coupled Current Sense Amplifier
    1. 7.1 Bench Verification of Input eEXT for Capacitively-Coupled Current Sense Amplifiers
  11. Design Procedure for Input Resistance at CSA Reference Pins
  12. Input Resistance Error Test with INA185 Over Temperature
    1. 9.1 Schematic
    2. 9.2 Methods
    3. 9.3 Theoretical Model
    4. 9.4 Data for INA185A4 with 110Ω Input Resistors
      1. 9.4.1 Data Calculations
    5. 9.5 Analysis
  13. 10Input Resistance Error Test with INA191 Over Temperature
    1. 10.1 Schematic
    2. 10.2 Methods
    3. 10.3 Theoretical Model
    4. 10.4 Data for INA191A4 With 2.2kΩ Input Resistors
      1. 10.4.1 Data Analysis
    5. 10.5 Analysis
  14. 11Derivation of VOS, EXT for a Single Stage Current Sense Amplifier (CSA)
  15. 12Summary
  16. 13References

Data Calculations

Table 9-9 Typical (Nominal) Shunt Voltage Gain vs. REXT at IN+ and IN-
REXTGTotal, typical (V/V)
200
110Ω176.6784452
Table 9-10 Calculated Total Gain Using Best Fit Line
TA (°C)-4025125
REXT = 0199.9430451199.8978107199.883843
REXT = 110Ω176.3839626176.3770096176.2355055

EG is calculated relative to the typical gain as shown in Table 9-11

Table 9-11 Calculated Total Gain and Offset Error
TA (°C)-4025125
EG (%)REXT = 0-0.028%-0.051%-0.058%
REXT = 110Ω-0.167%-0.171%-0.251%
VOS (µV)REXT = 0-13.0103-11.2788-6.8169
REXT = 110Ω-16.2581-15.4507-13.8660
Table 9-12 Calculated and Predicted External Input Resistance Error (eEXT)
TA (°C)-4025125
EG, EXT (%)Measured-0.138%-0.120%-0.193%
Predicted-0.056%-0.120%-0.193%
VOS, EXT (µV)Measured-3.248-4.172-7.049
Predicted-2.65-4.19-6.63
Table 9-13 Calculated Total Gain and Offset Error Drift
Temperature Coefficient Calculation RangeΔe/(25°C- -40°C)Δe/(125°C- -40°C)Δe/(125°C- 25°C)
EG Drift (ppm/°C)REXT = 0-3.5-1.8-0.7
REXT = 110Ω-0.6-5.1-8.0
VOS Drift (nV/°C)REXT = 026.63937.53644.619
REXT = 110Ω12.42214.49815.847
Table 9-14 Calculated and Predicted External Input Resistance Error Drift (eEXT Drift)
Temperature Coefficient Calculation RangeΔe/(25°C- -40°C)Δe/(125°C- -40°C)Δe/(125°C- 25°C)
EG Drift, EXT (ppm/°C)Measured2.87-3.30-7.31
Predicted-9.9-8.3-7.3
VOS Drift, EXT (nV/°C)Measured-14.22-23.04-28.77
Predicted-23.62-24.09-24.4
Table 9-15 Measured Input Offset and Calculated VOS, EXT over VCM at 125°C
VCM (V)09121525
VOS (µV)REXT = 010.31-3.25-6.65-10.26-22.26
REXT = 110Ω32.47-9.71-13.59-17.86-32.78
VOS, EXT (µV)22.16-6.47-6.94-7.59-10.53
Table 9-16 Measured Input CMRR and Calculated CMRREXT at 125°C
Calculation MethodTwo PointBest Fit
UnitsµV/VdBµV/VdB
CMRR RTIREXT = 0-1.30-117.70-1.29-117.77
REXT = 110Ω-2.61-111.67-2.51-111.99
CMRREXT-1.316.04-1.225.78
Table 9-17 Measured and Predicted VOS, EXT over VCM at 125°C
VCM (V)09121525
VOS, EXT (µV)Measured22.16-6.47-6.94-7.59-10.53
Predicted4.78-5.82-6.63-7.43-10.10

VSENSE = 23-mV, TA = 125°C

Table 9-18 VREF_EFFECTIVE (V) over VCM
VCM (V)09121525
REXT = 0Measured0.145550.172130.181010.189880.21948
Predicted0.1461579520.1724870210.1812633780.1900397340.219294255
Prediction Error-6.08E-04-3.57E-04-2.53E-04-1.60E-041.86E-04
REXT = 110ΩMeasured0.145550.172170.181040.189910.21945
Predicted0.1461580390.172481290.1812557070.1900301240.219278181
Prediction Error-6.08E-04-3.11E-04-2.16E-04-1.20E-041.72E-04
Table 9-19 VREF, EFFECTIVE (V) over Temperature
TA (°C)-4025125
REXT = 0Measured0.181360.181210.18101
Predicted0.181100.181160.18126
Prediction Error2.65E-044.90E-05-2.53E-04
REXT = 110ΩMeasured0.181380.181220.18104
Predicted0.181090.181150.18126
Prediction Error2.92E-046.66E-05-2.16E-04