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MAX17498C Datasheet(PDF) 21 Page - Maxim Integrated Products |
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MAX17498C Datasheet(HTML) 21 Page - Maxim Integrated Products |
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21 / 28 page ![]() AC-DC and DC-DC Peak-Current-Mode Converters for Flyback/Boost Applications MAX17498A/MAX17498B/MAX17498C Maxim Integrated Products 21 Peak/RMS-Current Calculation To set the current limit, the peak current in the inductor and internal nMOSFET can be calculated as: OUT MAX MAX OUT PK INMIN SWMIN MAX OUT OUT PK MAX INMIN SWMIN V D (1 D ) I I L f (1 D) 1.2 for D 0.5 0.25 V I I 1.2 for D 0.5 L f (1 D) × ×− = + ×− × ≥ × = +× ≥ × − DMAX, the maximum duty cycle, is obtained by substitut- ing the minimum input operating voltage (VINMIN) in the equation above for duty cycle. LINMIN is the minimum value of the input inductor taking into account tolerance and saturation effects. fSWMIN is the minimum switch- ing frequency for the MAX17498C from the Electrical Characteristics section. Output-Capacitor Selection X7R ceramic output capacitors are preferred in industrial applications due to their stability over temperature. The output capacitor is usually sized to support a step load of 50% of the maximum output current in the application, such that the output-voltage deviation is contained to 3% of the output-voltage change. The output capacitance can be calculated as: STEP RESPONSE OUTF OUT RESPONSE C SW It C V 0.33 1 t () ff × = ∆ ≅+ where ISTEP is the load step, tRESPONSE is the response time of the controller, DVOUT is the allowable output-voltage deviation, and fC is the target closed- loop crossover frequency. fC is chosen to be 1/10 the switching frequency (fSW). For the boost converter, the output capacitor supplies the load current when the main switch is on, and therefore, the output-voltage ripple is a function of duty cycle and load current. Use the following equation to calculate the output-capacitor ripple: OUT MAX COUT OUT SW ID V Cf × ∆ = × Input-Capacitor Selection The input ceramic capacitor value required can be cal- culated based on the ripple allowed on the input DC bus. The input capacitor should be sized based on the RMS value of the AC current handled by it. The calculations are: OUT IN INMIN SW MAX 3.75 I C V f (1 D ) × = × ×− The input-capacitor RMS current can be calculated as: LIN CIN_RMS I I 23 ∆ = × where: OUT MAX MAX LIN MAX INMIN SWMIN OUT LIN MAX INMIN SWMIN V D (1 D ) I for D 0.5 Lf 0.25 V I for D 0.5 Lf × ×− ∆ = < × × ∆ = ≥ × Error-Amplifier Compensation Design The loop-compensation values for the error amplifier can now be calculated as: 2 OUT OUT MIN Z OUTMIN IN 250 V C (1 D ) R IL × × ×− = × where DMIN is the duty cycle at the highest operating input voltage and IOUTMIN is the minimum load current: OUT OUT Z OUT Z P SW Z VC C 2I R 1 C fR × = × × = π× × Slope-Compensation Ramp The slope required to stabilize the converter at duty cycles greater than 50% can be calculated as: OUT INMIN E IN 0.5 (0.82 V V ) S V per µs L × × − = where LIN is in µH. |
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