Application information
L5987
6.4
Compensation network
The compensation network has to assure stability and a good dynamic performance. The
loop of the L5987 is based on the voltage mode control. The error amplifier is a voltage
operational amplifier with high bandwidth. So selecting the compensation network the E/A
will be considered as ideal, that is, its bandwidth is much larger than the system one.
The transfer functions of the PWM modulator and the output LC filter are studied (see
Figure 10). The transfer function of the PWM modulator, from the error amplifier output
(COMP pin) to the OUT pin, results:
Equation 14
GPW0 = V--V---I-sN--
where VS is the sawtooth amplitude. As seen in Section 5.1 on page 9, the voltage
feedforward generates a sawtooth amplitude directly proportional to the input voltage, that
is:
Equation 15
VS = K VIN
In this way the PWM modulator gain results constant and equals to:
Equation 16
GPW0 = V--V---I-sN-- = K-1-- = 9
The synchronization of the device with an external clock provided trough the SYNCH pin
can modify the PWM modulator gain (see Section 5.1 to understand how this gain changes
and how to keep it constant in spite of the external synchronization).
Figure 10. The error amplifier, the PWM modulation and the LC output filter
VCC
VREF
FB
VS
E/A
COMP
PWM
GPW0
OUT
L
ESR
GLC
COUT
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