2 boost stage design, Step 8) determine i, An368 – Cirrus Logic AN368 User Manual
Page 63

AN368
AN368REV2
63
The minimum dim setting for the second stage is configured using the S2DIM register at Address 37. The
enforced minimum dim percentage dim
min
is determined by Equation 59:
The required gain value for a particular combination of dim and temperature was obtained using a polynomial
curve fit and the coefficients were derived for polynomial GAIN
DTR
and GAIN
DR
using Equation 60. The
polynomial in two variables, dim and temperature, uses coefficients P30, P20, P10, P03, P02, P01, P21, P12,
P11, and P00.
The polynomial in one variable, dim, uses coefficients Q3, Q2, Q1, and Q0.
4.2 Boost Stage Design
The boost inductor current reaches this value during a substantial portion of the line-cycle, affecting the RMS
value of the inductor and line current. The maximum boost inductor peak current is configured by adjusting the
peak switching current with I
PK(code)
. Using Equation 64, calculate I
PK(BST)
:
Coefficient
Register
Address
Binary
Decimal
P30
P30_MSB+P30_LSB
5 and 6
‘0010111110001000’
2.970703125
P20
P20_MSB+P20_LSB
7 and 8
‘1011111001000111’
-4.107666016
P10
P10_MSB+P10_LSB
9 and 10
‘0010001010101111’
2.167724609
P03
P03_MSB+P03_LSB
11 and 12
‘0000000000000000’
0
P02
P02_MSB+P02_LSB
13 and 14
‘0000001000111001’
0.138916016
P01
P01_MSB+P01_LSB
15 and 16
‘1111000101110111’
-0.908447266
P21
P21_MSB+P21_LSB
17 and 18
‘0000100010000011’ 0.531982422
P12
P12_MSB+P12_LSB
19 and 20
‘0000000011011010’
0.053222656
P11
P11_MSB+P11_LSB
21 and 22
‘1111010001011100’ -0.727539063
P00
P00_MSB+P00_LSB
23 and 24
‘0001011111101010’
1.494628906
Table 11. GAIN
DTR
Coefficients
Coefficient
Register
Address
Binary
Decimal
Q3
Q30_MSB+Q30_LSB
25 and 26
‘0000000011100100’
-1.75
Q2
Q20_MSB+Q20_LSB
27 and 28
‘1111111001011000’
5.562011719
Q1
Q10_MSB+Q10_LSB
29 and 30
‘1111101000101011’
2.748535156
Q0
Q03_MSB+Q03_LSB
31 and 32
‘0001011010011011’ -6.307128906
Table 12. GAIN
DR
Coefficients
[Eq. 131]
dim
min
S2DIM[7:0] 16 15
+
4095
--------------------------------------------------------
100
=
8
16 15
+
4095
---------------------------
100
=
3.5%
=
I
PK BST
3.64 P
IN
V
RMS
--------------------------
3.64 9W
120V
---------------------------
273mA
=
=
=
[Eq. 132]