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MAX8543EEE Datasheet(PDF) 23 Page - Maxim Integrated Products |
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MAX8543EEE Datasheet(HTML) 23 Page - Maxim Integrated Products |
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23 / 27 page ![]() Step-Down Controllers with Prebias Startup, Lossless Sensing, Synchronization, and OVP ______________________________________________________________________________________ 23 The aluminum electrolytic capacitor is the least expen- sive; however, it has higher ESR. To compensate for this, use a ceramic capacitor in parallel to reduce the switch- ing ripple and noise. For reliable and safe operation, ensure that the capacitor’s voltage and ripple-current rat- ings exceed the calculated values. The response to a load transient depends on the selected output capacitors. After a load transient, the output voltage instantly changes by ESR x ∆ILOAD. Before the controller can respond, the output voltage deviates further depending on the inductor and output capacitor values. After a short period of time (see the Typical Operating Characteristics), the controller responds by regulating the output voltage back to its nominal state. The controller response time depends on its closed-loop bandwidth. With a higher bandwidth, the response time is faster, thus preventing the output voltage from further deviation from its regulation value. Compensation Design The MAX8543/MAX8544 use an internal transconduc- tance error amplifier whose output compensates the control loop. The external inductor, output capacitor, compensation resistor, and compensation capacitors determine the loop stability. The inductor and output capacitor are chosen based on performance, size, and cost. Additionally, the compensation resistor and capaci- tors are selected to optimize control-loop stability. The component values, shown in the Typical Application Circuits (Figures 1 and 2), yield stable operation over the given range of input-to-output voltages. The controller uses a current-mode control scheme that regulates the output voltage by forcing the required cur- rent through the external inductor, so the MAX8543/ MAX8544 use the voltage drop across the DC resistance of the inductor or the alternate series current-sense resis- tor to measure the inductor current. Current-mode control eliminates the double pole in the feedback loop caused by the inductor and output capacitor resulting in a smaller phase shift and requiring a less elaborate error-amplifier compensation than voltage-mode control. A simple single series RC and CC is all that is needed to have a stable, high-bandwidth loop in applications where ceramic capacitors are used for output filtering. For other types of capacitors, due to the higher capacitance and ESR, the frequency of the zero created by the capacitance and ESR is lower than the desired closed-loop crossover fre- quency. To stabilize a nonceramic output-capacitor loop, add another compensation capacitor (CF) from COMP to GND to cancel this ESR zero. The basic regulator loop is modeled as a power modu- lator, output feedback divider, and an error amplifier. The power modulator has DC gain set by gmc x RLOAD, with a pole and zero pair set by RLOAD, the output capacitor (COUT), and its ESR. Below are equations that define the power modulator: where RLOAD = VOUT / IOUT(MAX), fS is the switching frequency, L is the output inductance, and gmc = 1 / (AVCS × RDC), where AVCS is the gain of the cur- rent-sense amplifier and RDC is the DC resistance of the inductor (or current-sense resistor). AVCS is dependent on the current-limit selection at ILIM, and ranges from 3 to 11 (see Current-Sense Amplifier Voltage Gain in the Electrical Characteristics table). The frequencies at which the pole and zero created by the power modulator are determined as follows: When COUT is composed of “n” identical capacitors in parallel, the resulting COUT = n x COUT(EACH), and ESR = ESR(EACH) / n. Note that the capacitor zero for a par- allel combination of like capacitors is the same as for an individual capacitor. The feedback voltage-divider has a gain of GFB = VFB / VOUT, where VFB is equal to 0.8V. The transconductance error amplifier has a DC gain, GEA(DC) = gmEA x RO, where gmEA is the error-amplifier transconductance, which is equal to 110µS, RO is the output resistance of the error amplifier, which is 10M Ω. A dominant pole is set by the compensation capacitor (CC), the amplifier output resistance (RO), and a zero is set by the compensation resistor (RC) and the compen- sation capacitor (CC). There is an optional pole set by CF and RC to cancel the output-capacitor ESR zero if it occurs near the crossover frequency (fC). Thus: f CR R pdEA CO C = ×× + 1 2 π () f C ESR zMOD OUT = ×× 1 2 π f C Rf L Rf L ESR pMOD OUT LOAD S LOAD S = ×× ×× +× + ⎛ ⎝⎜ ⎞ ⎠⎟ 1 2 π () Gg Rf L Rf L MOD dc mc LOAD S LOAD S () () =× ×× +× |
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