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LOOP COMPENSATION DESIGN
The open loop gain of the SP6134EB can be divided into the gain of the error amplifier
Gamp(s) , PWM modulator Gpwm , buck converter output stage Gout(s) , and feedback
resistor divider Gfbk . In order to crossover at the selecting frequency fco , the gain of
the error amplifier has to compensate for the attenuation caused by the rest of the loop
at this frequency. The goal of loop compensation is to manipulate the open loop
frequency response such that its gain crosses over 0dB at a slope of –20dB/dec.
The open loop crossover frequency should be higher than the ESR zero of the output
capacitors but less than 1/5 of the switching frequency fs to insure proper operation.
Since the SP6134EB is designed with a Ceramic Type output capacitors, a Type III
compensation circuit is required to give a phase boost of 180 ° in order to counteract the
effects of the output LC under damped resonance double pole frequency.
Figure 16. SP6134EB Voltage Mode Control Loop with Loop Dynamic
The simple guidelines for positioning the poles and zeros and for calculating the
component values for a type III compensation are as follows.
a.
b.
c.
Choose fco = fs / 10
Calculate fp_LC
fp_LC = 1 / 2 π [(L) (C)] ^ 1/2
Calculate fz_ESR
fz_ESR = 1 / 2 π (Resr) (Cout)
9
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