SBOS786B April 2016 – April 2022 INA301-Q1
PRODUCTION DATA
In this example, the trade-offs involved in selecting a current-sensing resistor are described. This example requires 2.5% accuracy for detecting a 10-A overcurrent event, with only 250 mW of allowable power 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 in order to improve system efficiency. Some initial assumptions are made that are used in this example:
Given the total error budget of 2.5%, up to 1% of error is available to be attributed to the measurement error of the device under these conditions.
As shown in Table 8-1, 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 in order to reduce the value of the current-sensing resistor, and reduce the power dissipation further. Selecting a 1.5-mΩ, current-sensing resistor value offers a good tradeoff for reducing the power dissipation in this scenario by approximately 40% while still remaining within the accuracy region.
PARAMETER | EQUATION | VALUE | UNIT | |
---|---|---|---|---|
IMAX | Maximum current | 10 | A | |
PD_MAX | Maximum allowable power dissipation | 250 | mW | |
RSENSE_MAX | Maximum allowable RSENSE | PD_MAX / IMAX2 | 2.5 | mΩ |
VOS | Offset voltage | 150 | µV | |
VOS_ERROR | Initial offset voltage error | (VOS / (RSENSE_MAX × IMAX ) × 100 | 0.6% | |
EG | Gain error | 0.25% | ||
ERRORTOTAL | Total measurement error | √(VOS_ERROR2 + EG2) | 0.65% | |
Allowable current threshold accuracy | 2.5% | |||
ERRORINITIAL | Initial threshold error | ILIMIT Tolerance + RLIMIT Tolerance | 1.5% | |
ERRORAVAILABLE | Maximum allowable measurement error | Maximum Error – ERRORINITIAL | 1% | |
VOS_ERROR_MAX | Maximum allowable offset error | √(ERRORAVAILABLE2 – EG2) | 0.97% | |
VDIFF_MIN | Minimum differential voltage | VOS / VOS_ERROR_MAX (1%) | 15 | mV |
RSENSE_MIN | Minimum sense resistor value | VDIFF_MIN / IMAX | 1.5 | mΩ |
PD_MIN | Minimum power dissipation | RSENSE_MIN × IMAX2 | 150 | mW |