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

Page 63

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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

Step 8) Determine I

PK(BST)

, I

SAT

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]

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