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L7987L Datasheet(PDF) 24 Page - STMicroelectronics |
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L7987L Datasheet(HTML) 24 Page - STMicroelectronics |
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24 / 41 page ![]() Application information L7987L 24/41 DocID026362 Rev 3 The transfer function of the power section (i.e.: the L-CO filters and the output load) is the ratio of the parallel of CO and RO and the sum of L and the parallel of CO and RO, including L and CO parasitics: Equation 15 given L, RDC, CO, RES and RO the parameters shown in Figure 10. The power section transfer function can be rewritten as follows: Equation 16 Equation 17 Equation 18 with the assumption that the inductor parasitic resistance, RDC, is negligible compared to RO. The closed loop gain is then given by: Equation 19 GLOOP(s) = GLC(s) • GPWO(s) • GCOMP(s) As noted in Section 5.2 on page 21, two different kinds of network can compensate the loop, depending on the value of fzESR, lower or higher than the regulator required bandwidth. In Section 5.4.1 and Section 5.4.2 the guidelines to select the type II and type III compensation network are illustrated. O D C O E S O D C E S O D C O O E S O O E S O O D C O E S O O E S O L C R R R R C R R C R R C L s R R L C s R s C R R s L s C R R s C R R s G 2 1 1 1 GLC s GLCO 1 s 2 f zESR --------------------------- + 1 s 2 Q fLC ------------------------------- s 2 f LC -------------------- 2 ++ ----------------------------------------------------------------------------- ; = GLCO RO RO RDC + -------------------------- 1 = fzESR 1 2 C ORES --------------------------------; = fLC 1 2 LC O RO RES + RO RDC + -------------------------- ------------------------------------------------------ 1 2 LC O RO RES + RO ------------------------- ----------------------------------------------------- = Q LCO RO RDC + RO RES + LCO RORDC RORES RESRDC ++ + ----------------------------------------------------------------------------------------------------------- LCO RO RO RES + LCORORES + ------------------------------------------------------------------------- = |
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