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SC415 数据表(PDF) 16 Page - Semtech Corporation |
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SC415 数据表(HTML) 16 Page - Semtech Corporation |
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16 / 30 page ![]() SC415 16 During the DH on-time, voltage across the inductor is (VIN - VOUT). To determine the inductance, the ripple current must be defined. Smaller ripple current will give smaller output ripple voltage but will require larger inductors. The ripple current will also set the boundary for PSAVE operation. The switcher will typically enter PSAVE operation when the load current decreases to ½ of the ripple current; (i.e. if ripple current is 4A then PSAVE operation will typically start for loads less than 2A. If ripple current is set at 40% of maximum load current, then PSAVE will occur for loads less than 20% of maximum). The equation for inductance is: L = (VIN - VOUT) × TON / I RIPPLE Use the maximum value for VIN, and for TON use the value associated with maximum VIN, and that side’s TON using the RTON value selected. For selecting the inductor, we start with the highest VOUT setting and a maximum ripple current of 4A. TON1 = 343 nsec at 20VIN, 1.8VOUT L = (20 - 1.8) × 343 nsec / 4A = 1.56μH We will use 1.5μH which will slightly increase the maximum IRIPPLE to 4.2A. Note: the inductor must be rated for the maximum DC load current plus ½ of the ripple current. The minimum ripple current is also calculated. This occurs when VIN is at the minimum value of 10V. TON VINMIN = 3.3 × (RTON+37) × (VOUT/VIN) + 35 TON VINMIN = 651nsec I RIPPLE = (VIN - VOUT) × TON / L I RIPPLE_VINMIN = (10 – 1.8) × 651 nsec / 1.5μH = 3.55A Applications Information (continued) Capacitor Selection The output capacitors are chosen based on required ESR and capacitance. The ESR requirement is driven by the output ripple requirement and the DC tolerance. The output voltage has a DC value that is equal to the valley of the output ripple, plus ½ of the peak-to-peak ripple. Changing the ripple voltage will lead to a change in DC output voltage. The design goal is +/-4% output regulation. The internal 750mV reference tolerance is 1%, and assuming 1% tolerance for the FB resistor divider, this allows 2% tolerance due to VOUT ripple. Since this 2% error comes from ½ of the ripple voltage, the allowable ripple is 4%, or 72mV for a 1.8V output. Although this is acceptable from a regulation standpoint, 72mV ripple is high for a 1.8V output and therefore more realistic ripple value of 36mV will be used (2% of VOUT). The maximum ripple current of 4.2A creates a ripple voltage across the ESR. The maximum ESR value allowed would create 36mV ripple: ESRMAX = V RIPPLE /I RIPPLEMAX = 36mV / 4.2A ESRMAX = 8.6 mΩ While the ESR is chosen to meet ripple requirements, the output capacitance (μF) is typically chosen based on transient requirements. A worst-case load release, from maximum load to no load at the exact moment when inductor current is at the peak, defines the required capacitance. If the load release is instantaneous (load changes from maximum to zero in a very small time), the output capacitor must absorb all the inductor’s stored energy. This will cause a peak voltage on the capacitor according to the equation: C OUTMIN = L × (IOUT + 1/2 × I RIPPLEMAX )2 _______________________ (V PEAK 2 - V OUT 2) |
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