Device description
L6911E
Figure 7. Hiccup mode and Inductor ripple current vs. VOUT
9
8
7
6
5
4
3
2
1
0
0 .5
1 .5
L=1.5µH, Vin=12V
L=2µH,
Vin=12V
L=3µH,
Vin=12V
L=1.5µH,
Vin=5V
L=2µH,
Vin=5V
L=3µH, Vin=5V
2 .5
3 .5
Output Voltage [V]
a)
b)
5.6
Inductor design
The inductance value is defined by a compromise between the transient response time, the
efficiency, the cost and the size. The inductor has to be calculated to sustain the output and
the input voltage variation to maintain the ripple current ∆IL between 20% and 30% of the
maximum output current. The inductance value can be calculated with this relationship:
Equation 6
L
=
V-----I-N-f--s--–--⋅---V∆---I-O-L---U----T-
⋅
V-----O----U---T--
VIN
Where fSW is the switching frequency, VIN is the input voltage and VOUT is the output
voltage. Figure 7 b shows the ripple current vs. the output voltage for different values of the
inductor, with vin = 5V and Vin = 12V.
Increasing the value of the inductance reduces the ripple current but, at the same time,
reduces the converter response time to a load transient. If the compensation network is well
designed, the device is able to open or close the duty cycle up to 100% or down to 0%. The
response time is now the time required by the inductor to change its current from initial to
final value. Since the inductor has not finished its charging time, the output current is
supplied by the output capacitors. Minimizing the response time can minimize the output
capacitance required.
The response time to a load transient is different for the application or the removal of the
load: if during the application of the load the inductor is charged by a voltage equal to the
difference between the input and the output voltage, during the removal it is discharged only
by the output voltage. The following expressions give approximate response time for ∆I load
transient in case of enough fast compensation network response:
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