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MAX17061AETI+ Datasheet(PDF) 21 Page - Maxim Integrated Products |
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MAX17061AETI+ Datasheet(HTML) 21 Page - Maxim Integrated Products |
21 / 24 page The MAX17061A has a minimum inductor value limita- tion for a stable operation in CCM mode at low input voltage because of the internal fixed-slope compensa- tion. The minimum inductor value for stability is calcu- lated with the following equation: where 24.7mV is a scale factor from slope compensa- tion, and the RS is the equivalent current-sensing scale factor (12m Ω typ): 1) Choose an available inductor value from an appropri- ate inductor family. Calculate the maximum DC input current at the minimum input voltage VIN(MIN), using conservation of energy and the expected efficiency at that operating point ( ηMIN) taken from an appropri- ate curve in the Typical Operating Characteristics: 2) Calculate the ripple current at that operating point and the peak current required for the inductor: Inductor Selection in DCM Operation When DCM operating mode is chosen to minimize the inductor value, the calculations are different from those above in CCM mode. The maximum inductor value for DCM mode is calculated with the following equation: The peak-inductor current in DCM is calculated with fol- lowing equation: The inductor’s saturation current rating should exceed IPEAK and the inductor’s DC current rating should exceed IIN(DC,MAX). For good efficiency, choose an inductor with less than 0.1 Ω series resistance. Inductor Selection Design Examples: Considering the Typical Operating Circuit with four 10-LED strings and 25mA LED full-scale current, the maximum load current (IOUT(MAX)) is 100mA with a 35.9V output and a minimal input voltage of 7V. Choosing a CCM operating mode with LIR = 1 at 1MHz and estimating efficiency of 85% at this operating point: In CCM, the inductor has to be higher than LCCM(MIN): A10µH inductor is chosen, which is higher than the minimum L that guarantees stability in CCM. The peak-inductor current at minimum input voltage is calculated as follows: Alternatively, choosing a DCM operating mode at 750kHz and estimating efficiency of 85% at this operating point: A 4.7µH inductor is chosen. The peak inductor current at minimum input voltage is calculated as follows: Output Capacitor Selection The total output voltage ripple has two components: the capacitive ripple caused by the charging and discharging on the output capacitor, and the ohmic ripple due to the capacitor’s equivalent series resistance (ESR): and: V I C VV Vf RIPPLE C OUT MAX OUT OUT MAX IN MIN OUT MAX OSC () () () ( ) () ≈ − ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ VV V RIPPLE RIPPLE C RIPPLE ESR =+ () ( ) I mA V V V V uH MHz V V A PEAK = ×× × + − () ×× × + () = 100 2 35 9 35 9 0 4 7 47 0675 085 359 04 147 .. . .. . . . . L V VV V MHz V mA H DCM MAX () .. () . .. . =− + ⎛ ⎝⎜ ⎞ ⎠⎟ × × ×× × = 1 7 35 9 0 4 70 85 2 0 825 35 9 100 56 2 μ I mA V V VV V H V MHz A PEAK = × × + ×− () ×× × = 100 35 9 70 85 735 9 7 210 35 9 0 9 092 . . . .. . μ L VV V m mV MHz H CCM MIN () .. .. . = +− × ()× ×× = 35 9 0 4 2 7 12 224 7 0 9 60 Ω μ L V V VV mA MHz H = ⎛ ⎝⎜ ⎞ ⎠⎟ − × ⎛ ⎝⎜ ⎞ ⎠⎟ ⎛ ⎝⎜ ⎞ ⎠⎟ = 7 35 9 35 9 7 100 1 085 1 944 2 . .. . μ II I PEAK IN DCMAX RIPPLE =+ (, ) 2 L V VV V fV I DCM MAX IN MIN OUT MAX DIODE IN MIN OSC MAX OUT MAX OUT MAX () () () () () () () =− + ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ × × ×× × 1 2 2 η I VV V LV f RIPPLE IN MIN OUT MAX IN MIN OUT MAX OSC = ×− () ×× () ( ) () () I IV V IN DCMAX OUT MAX OUT IN MIN MIN (, ) () () = × ×η L VV V R mV f CCM MIN OUT MAX DIODE IN MIN S OSC MIN () () ( ) () . = +− × ()× ×× 2 224 7 8-String White LED Driver with SMBus for LCD Panel Applications ______________________________________________________________________________________ 21 |
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