stability and control loop compensation for smps

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

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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