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ADP2165ACPZ-R7 датащи(PDF) 16 Page - Analog Devices |
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ADP2165ACPZ-R7 датащи(HTML) 16 Page - Analog Devices |
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16 / 23 page ![]() ADP2165/ADP2166 Data Sheet Rev. B | Page 16 of 23 The ESR and the value of the capacitance determine the output ripple. Use the following equation to select a capacitor that can meet the output ripple requirements: COUT_RIPPLE = RIPPLE OUT SW L V f I _ 8 ∆ × × ∆ RESR = L RIPPLE OUT I V ∆ ∆ _ where: ΔVOUT_RIPPLE is the allowable output ripple voltage. RESR is the equivalent series resistance of the output capacitor in ohms (Ω). Select the largest output capacitance given by COUT_UV, COUT_OV, and COUT_RIPPLE to meet both the load transient and the output ripple performance. The selected output capacitor voltage rating must be greater than the output voltage. The rms current rating of the output capacitor must be larger than the value calculated by 12 L C I I OUT_RMS ∆ = COMPENSATION DESIGN For peak current mode control, the power stage can be simplified as a voltage controlled current source supplying current to the output capacitor and load resistor. It is composed of one domain pole and a zero that is contributed by the output capacitor ESR. The control to output transfer function is based on the following: GVD (S) = ) ( ) ( s V s V COMP OUT = AVI × R × P Z f s f s × π × + × π × + 2 1 2 1 fZ = OUT ESR C R × × π × 2 1 fP = OUT ESR C R R × + × π × ) ( 2 1 where: AVI = 10 A/V. R is the load resistance. COUT is the output capacitance. RESR is the equivalent series resistance of the output capacitor. The ADP2165/ADP2166 use a transconductance amplifier for the error amplifier, which compensates for the system loop. Figure 30 shows the simplified, peak current mode control, small signal circuit. RESR R + – g m RC CCP COUT CC RTOP RBOT – + AVI VOUT VCOMP VOUT Figure 30. Simplified Peak Current Mode Control, Small Signal Circuit The compensation components, RC and CC, contribute a zero, and the optional CCP and RC contribute an optional pole. The loop gain transfer equation is as follows: TV (S) = × + − × + CP C m TOP BOT BOT C C g R R R 1 () (1 ) CC VD CCCP C CP RC s Gs RC C ss CC + ×× × ×× ×+ × + The following design guideline shows how to select the RC, CC, and CCP compensation components for the ceramic output capacitor applications: 1. Determine the cross frequency, fC. Generally, fC is between fSW/12 and fSW/6. 2. Calculate RC by using the following equation: VI m C OUT OUT C A g f C V R × × × × × π × V 6 . 0 2 = 3. Place the compensation zero at the domain pole, fP; then determine CC by using the following equation: C OUT ESR C R C R R C × + = ) ( 4. CCP is optional. It can be used to cancel the zero caused by the ESR of the output capacitor. C OUT ESR CP R C R C × = The fixed output version IC must consider the feedforward capacitance of feedback resistor (RTOP) to calculate CCP. The total internal feedback resistance is 1 MΩ. First, place the compensation pole at the minimum value between the domain pole, fP, and Z P FB FB f f × . ) 1 1 ( 2π 1 BOT TOP F FB R R C f P + × × = F TOP FB C R f Z × × = 2π 1 Then, determine CCP by ( ) ( ) Z P Z P FB FB P C C C FB FB P C CP f f f min C C R f f f min C C × × − × × × = , , where CF = 8.14 pF. |
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