[PPT] - Modeling and Control of a Cascaded Boost Converter for a Battery PowerPoint Presentation

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EPEC 2012 OCTOBER 10-12

Modeling and Control of a Cascaded Boost Converter for a Battery Electric Vehicle

A. Ndtoungou, Ab. Hamadi, A. Missanda and K. Al-Haddad, Fellow member,

IEEE

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EPEC 2012 OCTOBER 10-12 contents

Introduction

Introduction

Comparison between boost and cascade boost

Comparison between boost and cascade boost

Modeling and control of cascade boost converter

Modeling and control of cascade boost converter

Space average model of the system

Space average model of the system

Control law for output voltage control

Control law for output voltage control

Design of the

Design of the Proportional Proportional Integral Integral (PI) controller (PI) controller

Control Scheme of cascade boost for voltage control

Control Scheme of cascade boost for voltage control

Simulation results

Simulation results

Control of Battery current

Control of Battery current

Simulation results

Simulation results

Cascade boost converter used as non polluting converter

Cascade boost converter used as non polluting converter

Control scheme

Control scheme

Simulation results

Simulation results

Conclusion

Conclusion

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EPEC 2012 OCTOBER 10-12

I’s a new modeling technique of a cascade Boost converter;
The nonlinear control is applied and gives good performances in grid side

and in dc side.

PI controller eliminates efficacy the steady state error of the dc bus voltages;
The

The configuration configuration proposed proposed may may be be used used to to fast fast charging charging electrical electrical vehicle vehicle battery battery by by controlling controlling the the time time charging charging;

The

The configuration configuration connected connected to to the the grid grid compensates compensates current current harmonics, harmonics, reactive reactive power, power, the THD of the grid current is less than 5%.

INTRODUCTION

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EPEC 2012 OCTOBER 10-12

Comparison between Boost and cascade Boost

Characteristics of boost converter and cascade boost converter The boost converter provides high currents, while the cascade boost converter achieves high voltage. The advantage of the high voltage of the cascade boost converter make it very suitable for high battery voltage charging current.

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EPEC 2012 OCTOBER 10-12

Modeling and control of cascade boost converter

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in

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in

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in

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ON OFF

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EPEC 2012 OCTOBER 10-12

Space average model of the system

( ) ( ) ( ) ( )

 − = − +    −  = −   −  = −    − = −  

1 1 2 1 1 1 2 2

L C in 1 1 L C 2 2 C L L 1 1

L
2

2

di 1 d 1 v V dt L L di 1 d 1 v v dt L L dv 1 d 1 i i dt C C 1 d dv 1 i v dt C RC

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EPEC 2012 OCTOBER 10-12

Control law for output voltage control :

Where : is the output of the controller PI is the current in inductance

( )

+ = − =

2

L

dv 1 C v 1 d i u dt R

= −

2

L

u d 1 i

u

2

L

i

2

L

The dynamics of the output voltage is given by The control law is The right term of this equation which is linear uses PI controller to regulate the voltage v0 and we extract the control law from this equation

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EPEC 2012 OCTOBER 10-12

Design of the Proportional Integral (PI) controller

Closed loop output voltage regulation

The choice of the PI controller is based

n the desired performance of The

damping factor ζ and pulsation to give best response.

+ = + = p

i i p

k s k k G (s) k s s

0ref

v

p i

k s k s +

2

R RC s 1 +

u

( )

p i 2 F p 2 i 2 2

1 k s k G C G 1 R k 1 G k s s R C C + = = + +   + +    

( )

p i 2 F 2 2

1 k s k C G s 2 s ξ ω ω + = + +

p p 2 2 2 2 i i 2 2

1 Rk 2 1 k 2 C RC R k k C C ξω ξω ω ω +  =   = −   ⇔     = =   

ω

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EPEC 2012 OCTOBER 10-12

Control scheme of cascade boost for voltage control

0ref

v

d u

1

v

L2

i

Output voltage Output reference voltage is chosen by user

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EPEC 2012 OCTOBER 10-12

Simulation results

Simulation results with cascade boost converter Simulation results with boost converter Cascade boost converter is able to regulate the output voltage The best choice of inductance L2 can give iL2 positive For the high voltage, the boost converter is not able to regulate the

utput voltage

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EPEC 2012 OCTOBER 10-12

CONTROL OF BATTERY CURRENT

Control scheme of cascade boost for current control

2

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in

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v

We test the cascade boost converter to charge the battery and to compare it with the boost converter Control law :

( )

1

1 1

in C

d u V v = + −

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EPEC 2012 OCTOBER 10-12

Simulation results

Simulation results of cascade boost with battery current control Simulation results of boost with battery current control

The both system gives the same performance to charge the battery The slight difference is observed in the boost converter that the current flowing in the inductance presents the high ripple current compared of the cascade boost converter

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EPEC 2012 OCTOBER 10-12

CASCADE BOOST CONVERTER USED AS NON POLLUTING CONVERTER

Cascade boost Spectrum of the grid current

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EPEC 2012 OCTOBER 10-12

Reference current : iL1ref

Control Scheme

1

1 in L ref v C in

v V i u i V v   = +       Control law ( )

1

1 1

i in C

d u V v = + −

eq. 31
eq. 29

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EPEC 2012 OCTOBER 10-12

Simulation results

Steady state response of a non polluting converter: upper - voltage and current source, lower - output voltage Dynamic response of a non polluting converter: upper- voltage and current source, lower- output voltage and its reference

Grid current and grid voltage are in phase The THD of the grid current is less than 5% During the output reference voltage variation we see that the output voltage well regulated , that the grid voltage and the grid current are in phase and sinusoidal

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EPEC 2012 OCTOBER 10-12

CONCLUSION

The modeling of the cascade boost converter and the nonlinear

control technique are presented.

The simulations results have shown good performances of the

cascade Boost compared to the classical Boost converter.

The cascade Boost converter is suitable for high voltage battery.
The cascade Boost converter used as non polluting converter

gives a THD less than 5% in the grid side.

The control of the battery current will help to control the

charging time which may be used to fast charging electrical vehicle battery.

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