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LED6000 Datasheet(PDF) 44 Page - STMicroelectronics

Part # LED6000
Description  3 A, 61 V monolithic current source with dimming capability
PDF  49 Pages
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Manufacturer  STMICROELECTRONICS [STMicroelectronics]
Direct Link  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

LED6000 Datasheet(HTML) 44 Page - STMicroelectronics

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Application notes - alternative topologies
LED6000
44/49
DocID027777 Rev 2
6.4
Compensation strategy for alternative topologies
The transfer function of the power section for buck-boost and floating-boost topology, driving
N power LEDs with estimated Rd dynamic resistance, can be summarized by Equation 39:
Equation 39
This simplified model is based on the assumption that the output capacitor ESR is negligible
compared to LED dynamic resistance, Rd, and the LED current sensing resistor, RSNS.
Further, the RSNS is assumed negligible compared to the total LED dynamic resistance,
N * Rd.
The closed loop transfer function is still given by Equation 18 on page 28, assuming for the
power section the model summarized in Equation 39.
The singularity
RHPZ, computed at the maximum load and minimum input voltage, is the
limitation in the loop bandwidth design (fBW). Typically the maximum bandwidth is designed
to be lower than:
Equation 40
Table 8. Transfer function singularities
Z
RHPZ
LC
Buck boost
Floating boost
Table 9. Transfer function parameters
QG0
D
Buck boost
Floating boost
2
2
0
1
1
1
)
(
)
(
)
(
LC
LC
RHPZ
Z
SNS
LC
s
Q
s
s
s
G
s
d
s
V
s
G




d
O
R
N
C
1

LED
O
I
D
L
V
D
2
1

O
C
L
D
1
d
O
R
N
C
1

LED
O
I
L
V
D
2
1

O
C
L
D
1

d
O
R
N
D
L
C
 1

d
SNS
SNS
O
R
N
R
R
D
D
V
 1
IN
O
O
V
V
V

d
O
R
N
D
L
C
 1
d
SNS
SNS
O
R
N
R
R
D
V
1
O
IN
V
V
1
2
4
1
RHPZ
BW
f



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