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MAX1971EEE Datasheet(PDF) 18 Page - Maxim Integrated Products |
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MAX1971EEE Datasheet(HTML) 18 Page - Maxim Integrated Products |
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18 / 20 page ![]() troller can respond, the output deviates further, depending on the inductor and output capacitor values. After a short time (see the Typical Operating Characteristics), the controller responds by regulating the output voltage back to its nominal state. The con- troller response time depends on the closed-loop bandwidth. With a higher bandwidth, the response time is faster, thus preventing the output from deviating fur- ther from its regulating value. Compensation Design An internal transconductance error amplifier is used to compensate the control loop. Connect a series resistor and capacitor between COMP and GND to form a pole- zero pair. The external inductor, internal high-side MOSFET, output capacitor, compensation resistor, and compensation capacitor determine the loop stability. The inductor and output capacitor are chosen based on performance, size, and cost. Additionally, the com- pensation resistor and capacitor are selected to opti- mize control-loop stability. The component values shown in the typical application circuits (Figures 3, 4, and 5) yield stable operation over a broad range of input-to-output voltages. The controller uses a current-mode control scheme that regulates the output voltage by forcing the required current through the external inductor. The voltage across the internal high-side MOSFET’s on-resistance (RDS(ON)) is used to sense the inductor current. Current mode control eliminates the double pole caused by the inductor and output capacitor, which has large phase shift that requires more elaborate error-amplifier com- pensation. A simple Type 1 compensation with single compensation resistor (RC) and compensation capaci- tor (CC) is all that is needed to have a stable and high- bandwidth loop. The basic regulator loop consists of a power modulator, an 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: The pole frequency for the modulator is: The zero frequency for the output capacitor ESR is: where, RLOAD = VOUT/IOUT(MAX), and GMC = 2µS. The feedback divider has a gain of GFB = VFB/VOUT, where VFB is equal to 1.2V. The transconductance error ampli- fier has a DC gain, GEA(DC), of 60dB. A dominant pole is set by the compensation capacitor, CC, the output resistance of the error amplifier (ROEA), 20M Ω, and the compensation resistor, RC. A zero is set by RC and CC. The pole frequency set by the transconductance ampli- fier output resistance, and compensation resistor and capacitor is: The zero frequency set by the compensation capacitor and resistor is: For best stability and response performance, the closed-loop unity-gain frequency must be much higher than the modulator pole frequency. In addition, the closed-loop unity-gain frequency should be approxi- mately 50kHz. The loop gain equation at unity gain fre- quency then is: Where GEA(fc) = gmEA ✕ RC, and GMOD(fc) = gmc ✕ RLOAD ✕ fpMOD/fc, where gmEA = 50µS, RC can be calculated as: The error-amplifier compensation zero formed by RC and CC is set at the modulator pole frequency at maxi- mum load. CC is calculated as follows: CV C RI C OUT OUT C OUT MAX =× × () R V gm V G C O EA FB MOD fc = ×× () GG V V EA fc MOD fc FB O () () ×× =1 fz CR EA CC = ×× 1 2 π fp CR EA C OEA = ×× 1 2 π fz C ESR ESR OUT = ×× 1 2 π fp C R ESR MOD OUT LOAD = ×× + () 1 2 π G gmc R MOD LOAD =× Dual, 180° Out-of-Phase, 1.4MHz, 750mA Step- Down Regulator with POR and RSI/PFO 18 ______________________________________________________________________________________ |
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