SBOS775C September 2016 – March 2019 INA302 , INA303
PRODUCTION DATA.
In this example, the trade-offs involved in selecting a current-sensing resistor are discussed. This example requires 2.5% accuracy for detecting a 10-A overcurrent event where only 250 mW is allowed for the dissipation across the current-sensing resistor at the full-scale current level. Although the maximum power dissipation is defined as 250 mW, a lower dissipation is preferred to improve system efficiency. Some initial assumptions are made that are used in this example: the limit-setting resistor (RLIMIT) is a 1% component, and the maximum tolerance specification for the internal threshold setting current source (1%) is used. Given the total error budget of 2.5%, up to 0.5% of error can be attributed to the measurement error of the device under these conditions.
As shown in Table 2, the maximum value calculated for the current-sensing resistor with these requirements is 2.5 mΩ. Although this value satisfies the maximum power dissipation requirement of 250 mW, headroom is available from the 2.5% maximum total overcurrent detection error to reduce the value of the current-sensing resistor and to further reduce power dissipation. Selecting a 1.5-mΩ, current-sensing resistor value offers a good tradeoff for reducing the power dissipation in this scenario by approximately 40% and stays within the accuracy region.
PARAMETER | EQUATION | VALUE | UNIT | |
---|---|---|---|---|
DESIGN TARGETS | ||||
IMAX | Maximum current | 10 | A | |
PD_MAX | Maximum allowable power dissipation | 250 | mW | |
Allowable current threshold accuracy | 2.5% | |||
DEVICE PARAMETERS | ||||
VOS | Offset voltage | 30 | µV | |
EG | Gain error | 0.15% | ||
CALCULATIONS | ||||
RSENSE_MAX | Maximum allowable RSENSE | PD_MAX / IMAX2 | 2.5 | mΩ |
VOS_ERROR | Initial offset voltage error | (VOS / (RSENSE_MAX × IMAX ) × 100 | 0.12% | |
ERRORTOTAL | Total measurement error | √(VOS_ERROR2 + EG2) | 0.19% | |
ERRORINITIAL | Initial threshold error | ILIMIT tolerance + RLIMIT tolerance | 2% | |
ERRORAVAILABLE | Maximum allowable measurement error | Maximum error – ERRORINITIAL | 1% | |
VOS_ERROR_MAX | Maximum allowable offset error | √(ERRORAVAILABLE2 – EG2) | 0.48% | |
VDIFF_MIN | Minimum differential voltage | VOS / VOS_ERROR_MAX (1%) | 6.3 | mV |
RSENSE_MIN | Minimum sense resistor value | VDIFF_MIN / IMAX | 0.63 | mΩ |
PD_MIN | Lowest-possible power dissipation | RSENSE_MIN × IMAX2 | 63 | mW |