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SC120 Datasheet(PDF) 25 Page - Semtech Corporation |
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SC120 Datasheet(HTML) 25 Page - Semtech Corporation |
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25 / 32 page ![]() SC120 25 L T D V dt V L 1 I IN DT 0 IN on L This is the change in I L during the on-state. During the off-state, again neglecting the p-channel FET R DS-ON and the inductor DCR, D 1 L T V V dt V V L 1 I OUT IN T DT OUT IN off L Note that this is a negative quantity, since V OUT > V IN and 0 < D < 1. For a constant load in steady-state, the inductor current must satisfy ΔI L-on + ΔI L-off = 0. Substituting the two expressions and solving for D, obtain D = 1 – V IN /V OUT . Using this expression, and the positive valued expression ΔI L = ΔI L-on for current ripple amplitude, obtain expanded expression for I L-max and I L-min . IN OUT OUT IN IN OUT OUT max,min L V V V V L 2 T V I V I If the value of I OUT decreases until I L-min = 0, which is the boundary of continuous and discontinuous PWM opera- tion, the SC120 will transition from PWM operation to PSAVE operation. Define this value of I OUT as I PSAVE-entry . Setting the expression for I L-min to 0 and solving, IN OUT 2 OUT IN entry PSAVE V V V V L 2 T I The programmed value of V OUT is constant. I PSAVE-entry is a polynomial function of V IN . Equating dI PSAVE-entry /dV IN = 0 and solving for V IN reveals that there is one non-zero extre- mum of this function, a maximum, at V IN = 2/ 3 V OUT .* Applying this value of V IN , OUT max entry PSAVE V 27 2 L T I The value of the inductor determines the PSAVE entry output load current for a given V IN . Evaluate I PSAVE-entry at the smallest and largest expected values of V IN . If the input range includes V IN = 2/3 V OUT , also determine I PSAVE-entry-max . Note that at high V IN (V IN close to V OUT ) PSAVE exit may require an unusually high output load current. In this case, PSAVE re-entry may be of little concern. So if the largest V IN exceeds approximately 90% of V OUT , instead evaluate PSAVE entry at V IN = 0.9V OUT . To ensure that I PSAVE-entry-max will be less than the PSAVE exit current, evaluate the PSAVE-PWM mode transistions while applying increasing and decreasing loads with V IN at and above 2/3 V OUT . This should be done at the application’s lowest specified ambient temperature as well as at room temperature. If the PSAVE exit current is not sufficiently greater than the PSAVE entry current, the separation can be enhanced by increasing the output capacitance to raise I PSAVE-exit due to the 5μs off-time criterion (see Figure 3), or by increasing the inductor value to reduce I PSAVE-entry . The inductor selection should also consider the n-channel FET current limit for the expected range of input voltage and output load current. The largest I L-avg will occur at the expected smallest V IN and largest I OUT . Determine the largest allowable ΔI L , based on the largest expected I L-avg , the minimum n-channel FET current limit, and the inductor tolerance. Ensure that in the worst case, I L-avg + ΔI L /2 < I LIM(N) . These calculations include the parameter η, efficiency. Efficiency varies with V IN , I OUT , and temperature. Estimate η using the plots provided in this datasheet, or from experi- mental data, at the operating condition of interest when computing the effect of a new inductor value on PSAVE entry and I-limit margin. Any chosen inductor should have low DCR, compared to the R DS-ON of the FET switches, to maintain efficiency, though for DCR << R DS-ON , further reduction in DCR will provide diminishing benefit. The inductor I SAT value should exceed the expected I L-max . The inductor self-resonant fre- quency should exceed 5×f osc . Any inductor with these properties should provide satisfactory performance. L = 4.7μH should perform well for most applications. For high V OUT , (4.0V to 5.0V), and relatively high V IN (3.3V and above), L = 6.8μH, along with a larger output capacitance or larger-package output capacitor (for better V-bias per- Applications Information (continued) * For simplicity, efficiency ( η) is represented as a constant. But efficien- cy, itself a function of V IN , decreases with decreasing V IN (and decreases with increasing temperature). Therefore at a given temperature, the input voltage that produces the maximum PSAVE entry load current will be slightly greater than 2/ 3 of V OUT . |
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