SNVS680I August 2010 – April 2018 LM25119
PRODUCTION DATA.
Before determining the value of current sense resistor (RS), it is valuable to understand the K factor, which is the ramp slope multiple chosen for slope compensation. The K factor can vary from 1 to 3 in practice and is defined with Equation 12.
The performance of the converter varies depending on the selected K value (see Table 1). For this example, 3 was chosen as the K factor to minimize the power loss in sense resistor RS and the cross-talk between channels. Crosstalk between the two regulators under certain conditions is observed on the output as switch jitter.
The maximum output current capability (IOUT(MAX)) must be about 20% to 50% higher than the required output current, (8 A at VOUT1) to account for tolerances and ripple current. For this example, 130% of 8 A was chosen (10.4 A). The current sense resistor value is calculated with Equation 13 and the example (Equation 14).
where
A value of 8 mΩ was chosen for RS. The sense resistor must be rated to handle the power dissipation at maximum input voltage when current flows through the free-wheel MOSFET for the majority of the PWM cycle. The maximum power dissipation of RS is calculated with Equation 15 and the example (Equation 16).
During output short condition, the worst-case peak inductor current is limited to Equation 17 and the example (Equation 18).
where
The chosen inductor must be evaluated for this condition, especially at elevated temperature where the saturation current rating of the inductor may drop significantly. At the maximum input voltage with a shorted output, the valley current must fall below VCS(TH) / RS before the high-side MOSFET is allowed to turn on.