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ADP1823 Datasheet(PDF) 18 Page - Analog Devices |
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ADP1823 Datasheet(HTML) 18 Page - Analog Devices |
18 / 32 page ADP1823 Rev. A | Page 18 of 32 SETTING THE CURRENT LIMIT The current-limit comparator measures the voltage across the low-side MOSFET to determine the load current. The current limit is set through the current-limit resistor, RCL. The current sense pins, CSL1 and CSL2, source 50 μA through their respective RCL. This creates an offset voltage of RCL multiplied by the 50 μA CSL current. When the drop across the low-side MOSFET RDSON is equal to or greater than this offset voltage, the ADP1823 flags a current-limit event. Because the CSL current and the MOSFET RDSON vary over process and temperature, the minimum current limit should be set to ensure that the system can handle the maximum desired load current. To do this, use the peak current in the inductor, which is the desired current-limit level plus the ripple current, the maximum RDSON of the MOSFET at its highest expected temperature, and the minimum CSL current: μA 44 ) ( MAX DSON LPK CL R I R = (15) where ILPK is the peak inductor current. Because the buck converters are usually running fairly high current, PCB layout and component placement may affect the current-limit setting. An iteration of the RCL values may be required for a particular board layout and MOSFET selection. If alternate MOSFETs are substituted at some point in production, the values of the RCL resistor may also need an iteration. FEEDBACK VOLTAGE DIVIDER The output regulation voltage is set through the feedback voltage divider. The output voltage is reduced through the voltage divider and drives the FB feedback input. The regulation threshold at FB is 0.6 V. The maximum input bias current into FB is 100 nA. For a 0.15% degradation in regulation voltage and with 100 nA bias current, the low-side resistor, RBOT, needs to be less than 9 kΩ, which results in 67 μA of divider current. For RBOT, use 1 kΩ to 10 kΩ. A larger value resistor can be used, but results in a reduction in output voltage accuracy due to the input bias current at the FB pin, while lower values cause increased quiescent current consumption. Choose RTOP to set the output voltage by using the following equation: ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − = FB FB OUT BOT TOP V V V R R (16) where: RTOP is the high-side voltage divider resistance. RBOT is the low-side voltage divider resistance. VOUT is the regulated output voltage. VFB is the feedback regulation threshold, 0.6 V. COMPENSATING THE VOLTAGE MODE BUCK REGULATOR Assuming the LC filter design is complete, the feedback control system can then be compensated. Good compensation is critical to proper operation of the regulator. Calculate the quantities in Equation 17 through Equation 58 to derive the compensation values. For convenience, Table 4 provides a summary of the design equations and space for calculations. The information can then be added to a spread-sheet for automated calculation. The goal is to guarantee that the voltage gain of the buck converter crosses unity at a slope that provides adequate phase margin for stable operation. Additionally, at frequencies above the crossover frequency, fCO, guaranteeing sufficient gain margin and attenuation of switching noise are important secondary goals. For initial practical designs, a good choice for the crossover frequency is one tenth of the switching frequency, so first calculate 10 SW CO f f = (17) This gives sufficient frequency range to design a compensation that attenuates switching artifacts, while also giving sufficient control loop bandwidth to provide good transient response. The output LC filter is a resonant network that inflicts two poles upon the response at a frequency fLC, so next calculate LC π f LC 2 1 = (18) Generally speaking, the LC corner frequency is about two orders of magnitude below the switching frequency, and therefore about one order of magnitude below crossover. To achieve sufficient phase margin at crossover to guarantee stability, the design must compensate for the two poles at the LC corner frequency with two zeros to boost the system phase prior to crossover. The two zeros require an additional pole or two above the crossover frequency to guarantee adequate gain margin and attenuation of switching noise at high frequencies. Depending on component selection, one zero might already be generated by the equivalent series resistance (ESR) of the output capacitor. Calculate this zero corner frequency, fESR, as OUT ESR ESR C R π f 2 1 = (19) This zero is often near or below crossover and is useful in bringing back some of the phase lost at the LC corner. |
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