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SC417MLTRT датащи(PDF) 21 Page - Semtech Corporation |
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SC417MLTRT датащи(HTML) 21 Page - Semtech Corporation |
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21 / 29 page ![]() SC417/SC427 21 Applications Information (continued) The inductor value is typically selected to provide a ripple current that is between 25% to 50% of the maximum load current. This provides an optimal trade-off between cost, efficiency, and transient performance. During the DH on-time, voltage across the inductor is (V IN - V OUT ). The equation for determining inductance is shown next. RIPPLE ON OUT IN I T ) V V ( L Example In this example, the inductor ripple current is set equal to 50% of the maximum load current. Thus ripple current will be 50% x 10A or 5A. To find the minimum inductance needed, use the V IN and T ON values that correspond to V INMAX . H 77 . 0 A 5 ns 318 ) 05 . 1 2 . 13 ( L A slightly larger value of 0.88μH is selected. This will decrease the maximum I RIPPLE to 4.4A. Note that the inductor must be rated for the maximum DC load current plus 1/2 of the ripple current. The ripple current under minimum V IN conditions is also checked using the following equations. ns 384 ns 10 V V R pF 25 T INMIN OUT TON VINMIN _ ON L T ) V V ( I ON OUT IN RIPPLE A 25 . 4 H 88 . 0 ns 384 ) 05 . 1 8 . 10 ( I VIN _ RIPPLE Capacitor Selection The output capacitors are chosen based on required ESR and capacitance. The maximum ESR requirement is con- trolled by the output ripple requirement and the DC toler- ance. The output voltage has a DC value that is equal to the valley of the output ripple plus 1/2 of the peak-to-peak ripple. Change in the output ripple voltage will lead to a change in DC voltage at the output. The design goal is that the output voltage regulation be ±4% under static conditions. The internal 500mV refer- ence tolerance is 1%. Allowing 1% tolerance from the FB resistor divider, this allows 2% tolerance due to V OUT ripple. Since this 2% error comes from 1/2 of the ripple voltage, the allowable ripple is 4%, or 42mV for a 1.05V output. The maximum ripple current of 4.4A creates a ripple voltage across the ESR. The maximum ESR value allowed is shown by the following equations. A 4 . 4 mV 42 I V ESR RIPPLEMAX RIPPLE MAX ESR MAX = 9.5 mΩ The output capacitance is usually chosen to meet tran- sient requirements. A worst-case load release, from maximum load to no load at the exact moment when inductor current is at the peak, determines the required capacitance. If the load release is instantaneous (load changes from maximum to zero in < 1μs), the output capacitor must absorb all the inductor’s stored energy. This will cause a peak voltage on the capacitor according to the following equation. 2 OUT 2 PEAK 2 RIPPLEMAX OUT MIN V V I 2 1 I L COUT Assuming a peak voltage V PEAK of 1.150 (100mV rise upon load release), and a 10A load release, the required capaci- tance is shown by the next equation. 2 2 2 MIN 05 . 1 15 . 1 4 . 4 2 1 10 H 88 . 0 COUT COUT MIN = 595μF If the load release is relatively slow, the output capacitance can be reduced. At heavy loads during normal switching, when the FB pin is above the 500mV reference, the DL output is high and the low-side MOSFET is on. During this time, the voltage across the inductor is approximately -V OUT . This causes a down-slope or falling di/dt in the |
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