Stability and Control Loop Compensation for SMPS

19
EE136 STABILITY AND CONTROL LOOP COMPENSATION IN SWITCH MODE POWER SUPPLY Present By Huyen Tran

Transcript of Stability and Control Loop Compensation for SMPS

Page 1: Stability and Control Loop Compensation for SMPS

EE136

STABILITY AND CONTROL LOOP COMPENSATION IN

SWITCH MODE POWER SUPPLY

Present By Huyen Tran

Page 2: Stability and Control Loop Compensation for SMPS

STABILITY AND CONTROL LOOP COMPENSATION IN SWITCH MODE POWER SUPPLY

potential risk for oscillation in a closed loop control system methods of stabilizing the loop

Page 3: Stability and Control Loop Compensation for SMPS

Methods of stabilizing the loop

• By Circuit and Mathematical Analysis-Required “fine tuning”

• Interrogative Methods of Loop Stabilization

-A “difference techniques” can be used to establish the required characteristics of the compensated control amplifier.

Page 4: Stability and Control Loop Compensation for SMPS

Methods of stabilizing the loop

Type 1 Compensation

+

-

OUT

R1

C1

Vi

VREF

0

Vo

11

1

CsRV

V

I

O

Page 5: Stability and Control Loop Compensation for SMPS

Methods of stabilizing the loop

• Type 2 Compensation

+

-

.

R1

C1

Vi

VREF

0

Vo

R2

C2

PZ

I

OC ss

s

CRV

VH

21

1

Page 6: Stability and Control Loop Compensation for SMPS

Methods of stabilizing the loop

• Type 3 Compensation

+

-

.

R1

C1

Vi

VREF

0

Vo

R2

C2

R3C3

21

21233211

33112

11

11

CC

CCsRCRCCsR

CRRsCsR

V

VF

I

OC

Page 7: Stability and Control Loop Compensation for SMPS

Stability testing methods

• One of these method is transient load testing

-the transfer function changes under different loading conditions.

Page 8: Stability and Control Loop Compensation for SMPS

Set up the transient load test

Page 9: Stability and Control Loop Compensation for SMPS

Analysis for transient test

Page 10: Stability and Control Loop Compensation for SMPS

Analysis for transient test

• For an under damped response, it will have a poor gain and phase margins and maybe only conditional stable. With this performance, the oscillation may occur.

• For an over damped response, it is very stable, but does not give the best transient recovery performance.

• For waveform c, it is stable transient response, and it will provide enough gain and phase margin for most application.

Page 11: Stability and Control Loop Compensation for SMPS

Measurement procedure for the closed- loop

power supply systems

Page 12: Stability and Control Loop Compensation for SMPS

Measurement procedure for the closed- loop power supply systems

• voltmeter V1 is used to measure the ac input of control amplifier

• voltmeter V2 is used to measure the ac output voltage of power supply for each time changing the frequency

Page 13: Stability and Control Loop Compensation for SMPS

A typical Bode plot

Page 14: Stability and Control Loop Compensation for SMPS

Design example

Stabilizing a Forward Converter Feedback Loop with a Type 2 Error Amplifier

• V0 = 5V• I0(nom) =10A• Minimum I0 = 1A• Switching frequency = 100 kHz• Minimum out put ripple = 50mV

Page 15: Stability and Control Loop Compensation for SMPS

Design example

• calculate Lo and Co

onI

TVL 0

0

3 H6

6

101510

1053

orO V

dIC 61065 F2600

0.05

21065 6-

And the cutoff frequency of the output LC filter Is

HzCL OO

80610260010152

1

2

1f

66o

Page 16: Stability and Control Loop Compensation for SMPS

Design example

• the frequency of the ESR zero is

HzCR Oesr

250010652

1

2

1f

6esr

Then the modulator gain :

dBV

G SPm 5.467.1

3

)111(5.0

3

)1(5.0

DVT

DTV

T

TVSP

onSPonSP )1()1()1(

VO

Page 17: Stability and Control Loop Compensation for SMPS

Design example• Then the total open

loop gain Gt = Glc + Gm +Gs is draw in fig.1

Page 18: Stability and Control Loop Compensation for SMPS

Design example

• At very low frequency, it is a straight line with -1.5dB and then it hit 2 poles at the frequency which is 806 Hz and start rolling down with slope of -40dB/dec until it hit a zero at 2500 Hz, and the line still rolling down but the slope only -20dB/dec.

Page 19: Stability and Control Loop Compensation for SMPS

Design example

U 1

O P A M P

+

-

O U T

R 1

1 k

R 2

1 0 0 k

C 1

3 1 8 p

0

V 11 V a c0 V d c

C 3

2 0 p

fz = 5kHz, fp =80 kHz, gain 40