two-quadrant converter t1 conducts v a = v dc q1q2 vava iaia t1 t2 d1 +va-+va- d2 iaia + v dc

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Two-quadrant converter

T1 conducts va = Vdc

Q1Q2

Va

Ia

T1

T2

D1

+

Va

-

D2

ia

+

Vdc

Two-quadrant converter

Q1Q2

Va

Ia

T1

T2

D1

+

Va

-

D2

ia

+

Vdc

D2 conducts va = 0 T1 conducts va = Vdc

Quadrant 1 The average voltage is made larger than the back emf

Two-quadrant converter

Q1Q2

Va

Ia

T1

T2

D1

+

Va

-

D2

ia

+

Vdc

T2 conducts va = 0

Quadrant 2 The average voltage is made smaller than the back emf, thus forcing the current to flow in the reverse direction

Two-quadrant converter

Q1Q2

Va

Ia

T1

T2

D1

+

Va

-

D2

ia

+

Vdc

D1 conducts va = Vdc

5

Chopper fed DC drive Four-quadrant Chopper

+ Va Q1

Q2

Q3

Q4

D1 D3

D4D2

+

Vdc

Q1 & Q4 is ON

Current Flow : Vdc + _ Q1 _Motor_Q4_Vdc-

Current Ia & Va are positive

Operates in First Quadrant

Forward Motoring

Va

Ia

6

Chopper fed DC drive Four-quadrant Chopper

+ Va Q1

Q2

Q3

Q4

D1 D3

D4D2

+

Vdc

Q1 is OFF & Q4 is ON. Inductor current has to flow in the same Direction.

Diode D2 is FB

Inductor Current freewheels through D2 & Q4

Output Voltage is Zero

7

Chopper fed DC drive Four-quadrant Chopper

+ Va Q1

Q2

Q3

Q4

D1 D3

D4D2

+

Vdc

Q4 is OFF. Q2 is ON. Load is not connected with the source.

Back Emf drives the current through Q2 & D4

8

Chopper fed DC drive Four-quadrant Chopper

+ Va Q1

Q2

Q3

Q4

D1 D3

D4D2

+

Vdc

Q2 is OFF. Diode D1 is FB

Current flows through D4 & D1

Current Ia is negative & Va is positive.

Operates in second quadrant.

Va

Ia

Forward Braking

9

Chopper fed DC drive Four-quadrant Chopper

- Va +Q1

Q2

Q3

Q4

D1 D3

D4D2

+

Vdc

Q3 & Q2 is ON

Current Flow : Vdc + _ Q3 _Motor_Q2_Vdc-

Current Ia & Va are negative

Operates in third Quadrant

10

Chopper fed DC drive Four-quadrant Chopper

- Va +Q1

Q2

Q3

Q4

D1 D3

D4D2

+

Vdc

Q3 is OFF. Q2 is ON. Current has to be continuous.

Diode D4 is FB

Current flows through Q2,D4 & (Eb,La,Ra)

11

Chopper fed DC drive Four-quadrant Chopper

- Va +Q1

Q2

Q3

Q4

D1 D3

D4D2

+

Vdc

Q4 Is ON & Q2 is OFF.

Back emf Drives the current through Q4 – D2 - MOTOR

12

Chopper fed DC drive Four-quadrant Chopper

- Va +Q1

Q2

Q3

Q4

D1 D3

D4D2

+

Vdc

Q4 IS Turned Off,

D3 is FB

Current Flows through Va+ - D3 – D2 – Va-

Va is negative. But current Ia is positive

Operates in fourth quadrant

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