Application details

L6727

16/22

Compensation goal is to close the control loop assuring high DC regulation accuracy, good

dynamic performances and stability. To achieve this, the overall loop needs high DC gain,

high bandwidth and good phase margin.

High DC gain is achieved giving an integrator shape to compensation network transfer

has to cross 0dB axis with -20dB/decade slope.

As an example, Figure 7 shows an asymptotic bode plot of a type III compensation.

Figure 7.

Example of type III compensation.

●

Open loop converter singularities:

a)

b)

●

Compensation Network singularities frequencies:

a)

b)

c)

d)

Gain

[dB]

Log (Freq)

0dB

open loop

EA gain

closed

loop gain

compensation

gain

open loop

converter gain

F

LC

F

ESR

F

F

P1

F

P2

20log (R

20log (V

F

0dB

F

LC

1

2

π LC

OUT

⋅

----------------------------------

=

F

ESR

1

2

π C

OUT

ESR

⋅⋅

--------------------------------------------

=

F

Z1

1

2

π R

F

C

F

⋅⋅

------------------------------

=

F

Z2

1

2

π R

FB

R

S

+

() C

S

⋅⋅

-----------------------------------------------------

=

F

P1

1

2

π R

F

C

F

C

P

⋅

C

F

C

P

+

---------------------

⎝⎠

⎛⎞

⋅⋅

--------------------------------------------------

=

F

P2

1

2

π R

S

C

S

⋅⋅

-------------------------------

=