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LT3430 Datasheet(PDF) 25 Page - Linear Technology |
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LT3430 Datasheet(HTML) 25 Page - Linear Technology |
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25 / 28 page ![]() 25 LT3430 sn3430 3430is APPLICATIO S I FOR ATIO INDUCTOR VALUE The criteria for choosing the inductor is typically based on ensuring that peak switch current rating is not exceeded. This gives the lowest value of inductance that can be used, but in some cases (lower output load currents) it may give a value that creates unnecessarily high output ripple voltage. The difficulty in calculating the minimum inductor size needed is that you must first decide whether the switcher will be in continuous or discontinuous mode at the critical point where switch current reaches 3A. The first step is to use the following formula to calculate the load current above which the switcher must use continuous mode. If your load current is less than this, use the discontinuous mode formula to calculate minimum inductor needed. If load current is higher, use the continuous mode formula. Output current where continuous mode is needed: I VI VV VV V CONT IN P IN OUT IN OUT F > ++ + () ( ) ()( ) 22 4 Minimum inductor discontinuous mode: L VI fI MIN OUT OUT P = 2 2 ()( ) ()( ) Minimum inductor continuous mode: L VV fV V I I VV V MIN IN OUT IN OUT P OUT OUT F IN = ++ + ()( ) ()( ) – () 21 For a 40V to –12V converter using the LT3430 with peak switch current of 3A and a catch diode of 0.52V: IA CONT = ++ + = () ( ) ()( . ) . 40 3 4 4012 4012 0 52 1 148 22 For a load current of 0.5A, this says that discontinuous mode can be used and the minimum inductor needed is found from: LH MIN == µ 212 0 5 200 10 3 67 32 ()( . ) (•)( ) . In practice, the inductor should be increased by about 30% over the calculated minimum to handle losses and variations in value. This suggests a minimum inductor of 10 µH for this application. Ripple Current in the Input and Output Capacitors Positive-to-negative converters have high ripple current in the input capacitor. For long capacitor lifetime, the RMS value of this current must be less than the high frequency ripple current rating of the capacitor. The following for- mula will give an approximate value for RMS ripple cur- rent. This formula assumes continuous mode and large inductor value. Small inductors will give somewhat higher ripple current, especially in discontinuous mode. The exact formulas are very complex and appear in Application Note 44, pages 29 and 30. For our purposes here I have simply added a fudge factor (ff). The value for ff is about 1.2 for higher load currents and L ≥15µH. It increases to about 2.0 for smaller inductors at lower load currents. Capacitor I ff I V V RMS OUT OUT IN = ()( ) ff = 1.2 to 2.0 The output capacitor ripple current for the positive-to- negative converter is similar to that for a typical buck regulator—it is a triangular waveform with peak-to-peak OUTPUT** –12V, 0.5A INPUT† 5.5V TO 48V 3430 F15 C2 0.68 µF CC RC D1 30BQ060 R1 36.5k C1 100 µF 16V TANT C3 4.7 µF 100V CER D2† MMSD914TI L1* 10 µH CF BOOST LT3430 VIN VSW FB GND VC R2 4.12k * INCREASE L1 FOR HIGHER CURRENT APPLICATIONS. SEE APPLICATIONS INFORMATION ** MAXIMUM LOAD CURRENT DEPENDS ON MINIMUM INPUT VOLTAGE AND INDUCTOR SIZE. SEE APPLICATIONS INFORMATION † FOR V IN > 44V AND VOUT = –12V, ADDITIONAL VOLTAGE DROP IN THE PATH OF D2 IS REQUIRED TO ENSURE BOOST PIN MAXIMUM RATING IS NOT EXCEEDED. SEE APPLICATIONS INFORMATION (BOOST PIN VOLTAGE) + Figure 15. Positive-to-Negative Converter |
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