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ADP3154 Datasheet(PDF) 8 Page - Analog Devices |
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ADP3154 Datasheet(HTML) 8 Page - Analog Devices |
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8 / 12 page ![]() REV. A ADP3154 –8– The actual short-circuit current is less than the above calculated ISC(PK) value because the off-time rapidly increases when the output voltage drops below 1 V. The relationship between the off-time and the output voltage is: t CV V k A OFF T O ≈ × + 1 360 2 Ω µ With a short circuit across the output, the off-time will be about 70 µs. During that time the inductor current gradually decays. The amount of decay depends on the L/R time constant in the output circuit. With an inductance of 3.3 µH and total resis- tance of 22 m Ω, the time constant will be 108 µs. This yields an average short-circuit current of about 20 A. To safely carry the short-circuit current, the sense resistor must have a power rating of at least 20 A 2 × 5.0 mΩ = 20 W. Current Transformer Option An alternative to using a low value and high power current sense resistor is to reduce the sensed current by using a low cost cur- rent transformer and a diode. The current can then be sensed with a small-size, low cost SMT resistor. Using a transformer with one primary and 50 secondary turns reduces the worst-case resistor dissipation to a few mW. Another advantage of using this option is the separation of the current and voltage sensing, which makes the voltage sensing more accurate. Power MOSFETs Two external N-channel power MOSFETs must be selected for use with the ADP3154, one for the main switch, and an identi- cal one for the synchronous switch. The main selection param- eters for the power MOSFETs are the threshold voltage VGS(TH) and the on resistance RDS(ON). The minimum input voltage dictates whether standard threshold or logic-level threshold MOSFETs must be used. For VIN > 8 V, standard threshold MOSFETs (VGS(TH) < 4 V) may be used. If VIN is expected to drop below 8 V, logic-level threshold MOSFETs (VGS(TH) < 2.5 V) are strongly recommended. Only logic-level MOSFETs with VGS ratings higher than the absolute maximum of VCC should be used. The maximum output current IOMAX determines the RDS(ON) requirement for the two power MOSFETs. When the ADP3154 is operating in continuous mode, the simplifying assumption can be made that one of the two MOSFETs is always conducting the average load current. For VIN = 5 V and VOUT = 2.0 V, the maximum duty ratio of the high side FET is: DMAXHF = (1 – fMIN × t OFF) = (1 kHz–180 kHz × 3.0 µs) = 46% The maximum duty ratio of the low side (synchronous rectifier) FET is: DMAXLF = 1 – DMAXHF = 54% The maximum rms current of the high side FET is: IRMSHS = [DMAXHF (ILVALLEY2 + ILPEAK2 + ILVALLEYILPEAK)/3] 0.5 = 11.6 A rms The maximum rms current of the low side FET is: IRMSLS = [DMAXLF (ILVALLEY2 + ILPEAK2 + ILVALLEYILPEAK)/3] 0.5 = 12.5 A rms Inductor Selection The minimum inductor value can be calculated from ESR, off- time, dc output voltage and allowed peak-to-peak ripple voltage using the following equation: L Vt R V Vs m mV H MIN O OFF E MAX RIPPLE p p 1 20 3 5 3 10 32 == ×× = − () , .. . µ µ Ω The minimum inductance gives a peak-to-peak ripple current of 2.55 A, or 15% of the maximum dc output current IOMAX. The inductor peak current in normal operation is: ILPEAK = IOMAX + IRPP/2 = 19.5 A The inductor valley current is: ILVALLEY = ILPEAK – IRPP = 14.5 A The inductor for this application should have an inductance of 3.3 µH at full load current and should not saturate at the worst-case overload or short circuit current at the maximum specified ambient temperature. Tips for Selecting the Inductor Core Ferrite designs have very low core loss, so the design should focus on copper loss and on preventing saturation. Molypermalloy, or MPP, is a low loss core material for toroids, and it yields the smallest size inductor, but MPP cores are more expensive than ferrite cores or the Kool M µ® cores from Magnetics, Inc. COUT Selection–Determining the Capacitance The minimum capacitance of the output capacitor is determined from the requirement that the output be held up while the in- ductor current ramps up (or down) to the new value. The mini- mum capacitance should produce an initial dv/dt that is equal (but opposite in sign) to the dv/dt obtained by multiplying the di/dt in the inductor and the ESR of the capacitor: C II Rdi dt AA mV H F MIN OMAX OMIN E = () () = − () × () =µ –. / . ./ . 0 8 17 1 0 8 52 0 3 0 3840 Ωµ In the above equation the value of di/dt is calculated as the smaller voltage across the inductor (i.e., VIN–VOUT rather than VOUT) divided by the maximum inductance. The two parallel- connected 2200 µF capacitors have a total capacitance of 4400 µF, so the minimum capacitance requirement is met with ample margin. RSENSE The value of RSENSE is based on the required output current. The current comparator of the ADP3154 has a threshold range that extends from 0 mV to 125 mV (minimum). Note that the full 125 mV range cannot be used for the maximum specified nominal current, as headroom is needed for current ripple and transients. The current comparator threshold sets the peak of the inductor current yielding a maximum output current, IOMAX, which equals the peak value less half of the peak-to-peak ripple current. Solv- ing for RSENSE, allowing a 20% margin for overhead, and using the minimum current sense threshold of 125 mV yields: RSENSE = (125 mV)/[1.2(IOMAX + IRPP/2)] = 5.0 m Ω Once RSENSE has been chosen, the peak short-circuit current ISC(PK) can be predicted from the following equation: ISC(PK) = (145 mV)/RSENSE = (145 mV)/(5.0 m Ω) = 29 A |
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