Inductor DCR Current-Sense Calculator
Design a lossless inductor DCR current sensing network for buck converters. Solves R and C for L·R/C·DCR = 1 matching.
How to Use
- Enter inductor L, DCR (DC resistance), and pick RC time constant = L/DCR.
- Tool computes R and C values with 1% matching.
Show Work
Formulas
History of Lossless Current Sensing
DCR current sensing emerged in the 2000s as CPU voltage regulator module (VRM) designs pushed above 100 A load current, where I-squared-R loss in a 5-milliohm sense resistor (~5 W) became unacceptable. Intersil (now Renesas) and Linear Technology pioneered the matching-RC-network technique in controller ICs like the ISL6559 and LTC3731. By 2010 every multiphase CPU VRM and server buck converter used DCR sensing; the technique also moved into motor drives and battery management.
About This Calculator
Enter inductor L, DCR (milliohms, from datasheet), sense cap C (typically 100 nF-1 µF), and load current for V_sense estimation. The tool solves R = L/(DCR·C) such that the RC time constant matches L/DCR — producing a capacitor voltage proportional to inductor current.
V_sense = I·DCR; pick the sense amp input range accordingly. For ±1% accuracy over temperature, add a thermistor voltage-divider for DCR compensation. Modern PWM controllers (ISL, TPS, MAX series) have built-in DCR sense networks with digital trim. Everything runs client-side.
Frequently Asked Questions
Why DCR sense?
Lossless current sensing — uses the inductor\'s own copper resistance (~1-10 mΩ) instead of a dedicated sense resistor. Saves ~1% efficiency at 20A load vs a 5 mΩ shunt.
Matching requirement?
RC time constant must match L/DCR for accurate current reporting. Mismatch creates dynamic errors during load transients. Use 1% resistors; capacitor tolerance less critical.
Temperature effect?
Copper DCR has +0.39%/°C TCR. For ±1% sense accuracy over temperature, compensate with NTC thermistor near the inductor. Precision regulators (TPS53679, ISL6596) have built-in DCR temp-comp.
Common Use Cases
CPU VRM
Multiphase buck 12V→1V at 100A+: DCR sense saves multiple watts of sense-resistor loss.
DC Motor Control
High-current DC motor current sensing via stator coil DCR.
Battery Charger
Li-ion charger with inductor DCR sense for CC-mode regulation.
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