industrial electronics 2 controlled rectifiers

7
HALF CONTROLLED RECTIFIERS With a Resistive Load: SITUATION NO. 1: A half wave controlled rectifier is supplied from a 120V source. If the load resistance is 10Ω, 1. Find the load voltage and power to the load for a 0 o delay angle A. 45V , 200W B. 54V , 293W * C. 35V , 150W D. 53V , 300W 2. Find the load voltage and power to the load for a 45 o delay angle A. 45V , 200W B. 35V , 150W C. 46.2V , 213W* D. 53V , 300W 3. Find the load voltage and power to the load for a 90 o delay angle A. 27.1V , 73.2W* B. 45V , 200W C. 35V , 150W D. 53V , 300W 4. Find the load voltage and power to the load for a 135 o delay angle A. 53V , 300W B. 7.72V , 6.3W* A G K R + Vo - i Average Value of the output voltage : RMS Value of the output voltage : Vo rms = ( Vop / 2 ) [ 1 – α/π + For an input voltage of 0 α π

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Page 1: Industrial Electronics 2 Controlled Rectifiers

HALF CONTROLLED RECTIFIERS

With a Resistive Load:

SITUATION NO. 1:A half wave controlled rectifier is supplied from a 120V source. If the load resistance is 10Ω,

1. Find the load voltage and power to the load for a 0o delay angleA. 45V , 200WB. 54V , 293W * C. 35V , 150W D. 53V , 300W

2. Find the load voltage and power to the load for a 45 o delay angleA. 45V , 200WB. 35V , 150WC. 46.2V , 213W*D. 53V , 300W

3. Find the load voltage and power to the load for a 90o delay angleA. 27.1V , 73.2W*B. 45V , 200WC. 35V , 150WD. 53V , 300W

4. Find the load voltage and power to the load for a 135o delay angleA. 53V , 300WB. 7.72V , 6.3W*C. 35V , 150WD. 53V , 300W

5. Find the load voltage and power to the load for a 180o delay angleA. 35V , 150WB. 53V , 300WC. 35V , 250WD. 0V , 0 W*

+Vo -

R

K

G

A i

Average Value of the output voltage :Voave = ( Vop / 2π ) ( 1 + cos α )

RMS Value of the output voltage :Vorms = ( Vop / 2 ) [ 1 – α/π + (sin 2α ) / 2π ]1/2

For an input voltage ofvin = Vinp sin wt

0 α π 2π

Page 2: Industrial Electronics 2 Controlled Rectifiers

SITUATION NO.2:A half-wave controlled rectifier connected to a 150V, 60hz source is supplyng a resistive loadof 10Ω. If the delay angle is 300

6. Calculate the maximum load currentA. 12.2AB. 21.2A*C. 22.1AD. 20.2A

7. Calculate the average load voltageA. 63V*B. 64VC. 65VD. 66V

8. Calculate the average load currentA. 6.0AB. 6.1AC. 6.2AD. 6.3A*

9. Calculate the rms load currentA. 10.4AB. 10.5A*C. 10.6AD. 10.7A

10. Calculate the power supplied to the loadA. 1904WB. 1094W*C. 9140WD. 1940W

11. Calculate the conduction angleA. 90O

B. 150O*C. 45O

D. 35O

12. Calculate the ripple frequencyA. 60hzB. 120hzC. 240hzD. 480hz

13. Calculate the power power factorA. 0.8B. 0.75C. 0.65D. 0.69*

Page 3: Industrial Electronics 2 Controlled Rectifiers

14. A half-wave controlled rectifier is connected to a 120V source. Calculate the firing angle necessary to deliver 150W of power to a load of 10Ω A. 90O

B. 150O*C. 45O

D. nota

With an Inductive ( RL) Load:

With a freewheeling diode:

L +

Vo

R -

G

KA

For an input voltage ofvin = Vinp sin wt

Average Value of the output voltage :Voave = ( Vop / 2π ) ( cos α - cosβ )

RMS Value of the output voltage :Vorms = ( Vop / 2 ) [ β/π – α/π + (sin2α – sin2β ) / 2π ]1/2

0 α π 2π β

i

i0 α π 2π

Average Value of the output voltage :Voave = ( Vop / 2π ) ( 1 + cos α )

RMS Value of the output voltage :Vorms = ( Vop / 2 ) [ 1 – α/π + (sin 2α ) / 2π ]1/2For an input voltage of

vin = Vm sin wt

Page 4: Industrial Electronics 2 Controlled Rectifiers

FULL WAVE CONTROLLED CENTER TAPPED RECTIFIERS

With a Resistive Load:

With an Inductive ( RL) Load:

With a freewheeling diode:

G

A K

A K

G

For an input voltage ofvin = Vinp sin wt

0 α π (π+α) 2π

Average Value of the output voltage :Voave = ( Vop /π ) ( 1 + cos α )

RMS Value of the output voltage :Vorms = ( Vop / √2 ) [ 1 – α/π + (sin 2α ) / 2π ]1/2

For an input voltage ofvin = Vinp sin wt

Average Value of the output voltage :Voave = ( 2Vop /π ) cos α

RMS Value of the output voltage :Vorms = Vinrms

For an input voltage ofvin = Vinp sin wt

Average Value of the output voltage :Voave = ( Vop /π ) ( 1 + cos α )

RMS Value of the output voltage :Vorms = ( Vop / √2 ) [ 1 – α/π + (sin 2α ) / 2π ]1/2

Page 5: Industrial Electronics 2 Controlled Rectifiers

FULL WAVE CONTROLLED BRIDGE RECTIFIERS

With a Resistive Load:

SITUATION NO. 3:A fulll wave bridge controlled rectifier is supplied from a 150 V source with a load resistance of 10Ω . If the firing angle α is 30o

15. Calculate the average load voltageA. 126V*B. 216VC. 612VD. 162V

16. Calculate the average load currentA. 12.6V*B. 21.6VC. 61.2VD. 16.2V

17. Calculate the maximum load currentA. 12.2AB. 21.2A*C. 31.2AD. 13.2A

18. Calculate the RMS load currentA. 12.2AB. 14.8A*C. 31.2AD. 13.2A

19. Calculate the power supply to the loadA. 2182W*B. 1282WC. 8212WD. 8128W

SCR 1 SCR 2

SCR 3 SCR 4

i

+

Vo

-

R 0 α π (π+α) 2π

Average Value of the output voltage :Voave = ( Vop /π ) ( 1 + cos α )

RMS Value of the output voltage :Vorms = ( Vop / √2 ) [ 1 – α/π + (sin 2α ) / 2π ]1/2

For an input voltage ofvin = Vinp sin wt

Page 6: Industrial Electronics 2 Controlled Rectifiers

20. Calculate the ripple frequencyA. 60HzB. 120Hz*C. 240HzD. 480Hz

21. Calculate the power factorA. 0.707B 0.6.C. 0.8D. 0.98*

With an Inductive ( RL ) Load:

With a free wheeling diode:

TAKE HOME EXAM

For an input voltage ofvin = Vinp sin wt

Average Value of the output voltage :Voave = ( Vop /π ) ( cos α – cos β )

Average Value of the output voltage :Voave = ( Vop /π ) ( 1 + cos α )

RMS Value of the output voltage :Vorms = ( Vop / √2 ) [ 1 – α/π + (sin 2α ) / 2π ]1/2

For an input voltage ofvin = Vinp sin wt