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MCP1612 Datasheet(PDF) 12 Page - Microchip Technology |
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MCP1612 Datasheet(HTML) 12 Page - Microchip Technology |
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12 / 22 page ![]() MCP1612 DS21921B-page 12 © 2005 Microchip Technology Inc. 5.2.2 BUCK INDUCTOR There are many requirements that need to be satisfied when selecting the buck inductor. The application, physical size, current rating, resistance, mounting method, supplier, temperature range, minimum inductance and cost all need to be considered. Many suppliers specify the maximum peak current that an inductor can handle before magnetic saturation occurs. The peak current is equal to the maximum DC output current, plus one-half the peak-to-peak AC ripple current. When the P-channel MOSFET is on, the current in the buck inductor is ramped up. The voltage across the inductor, the inductance and the MOSFET on-time are required to determine the peak-to-peak ripple current. When operating in Continuous Current mode, the on- time of the P-channel MOSFET is determined by multiplying the duty cycle by the switching period. The following equation can be used to determine the duty cycle. EQUATION 5-2: The on-time is then defined as follows. EQUATION 5-3: The AC ripple current in the inductor can be calculated by the following relationship. EQUATION 5-4: Solving for ΔIL yields: EQUATION 5-5: The value of the buck inductor is chosen to be 3.3 µH. The AC ripple current is controlled by the size of the buck inductor. The value of the inductor will therefore need to be raised so that the converter operates in Continuous Conduction mode. Calculation of the buck inductor current rating follows. The inductor selected must have an inductance of 3.3 µH at a peak current rating of 1.08A. The DC resis- tance of the inductor should be as low as is feasibly possible. Extremely low DC resistance inductors are available, though a trade-off between size and cost should be considered. 5.2.3 OUTPUT CAPACITOR The output capacitor is used to filter the inductor AC ripple current and provide storage for load transients. The size and Equivalent Series Resistance (ESR) of the output capacitor determines the amount of ripple voltage present at the output of the converter. When selecting the output capacitor, a design trade-off has to be made between the acceptable ripple voltage and the size/cost of the output capacitor. Ceramic capacitors have very low ESR, but increase in cost with higher values. Tantalum and electrolytic capacitors are relatively inexpensive in higher values, but they also have a much higher ESR. The amount of capacitance needed to obtain the desired ripple voltage is calculated by using the following relationship. EQUATION 5-6: DutyCycle V OUT V IN ------------- = T ON DutyCycle 1 F SW ---------- × = Where: FSW = switching frequency V L L ΔI L Δt -------- × = ΔI L V L L ------ Δt × = Where: VL = voltage across the inductor (VIN – VOUT) Δt = on-time of the P-channel MOSFET VIN =3.3V VOUT =1.2V FSW =1.4 MHz IOUT(MAX) =1A TON = (1.2V/3.3V) x (1/1.4 MHz) TON = 260 ns VL = (3.3V – 1.2V) = 2.1V ΔIL = (2.1V/3.3 µH) x 260 ns ΔIL =165 mA IL(PEAK) =IOUT(MAX) + 1/2 ΔIL IL(PEAK) = 1A + (165 mA)/2 IL(PEAK) =1.08A I C C ΔV C Δt ----------- × = |
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