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A singel phase transformer with secondary voltage 230V 50Hz delivers power to load R=10ohm through a half wave controlled rectifier circuit for an firing angel delay 60 degree determine 1) rectification efficiency 2)form factor 3)voltage rippel factor 4)transformer utilization factor 5) PIV of thyristor?
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A singel phase transformer with secondary voltage 230V 50Hz delivers p...
Calculation of Various Parameters of Half Wave Controlled Rectifier Circuit


Given Data:


  • Secondary Voltage (Vs) = 230V

  • Frequency (f) = 50Hz

  • Load Resistance (R) = 10ohm

  • Firing Angle (α) = 60 degree



Rectification Efficiency

Rectification efficiency is the ratio of DC output power to the AC input power.


DC output power, Pdc = (Vdc^2)/R


AC input power, Pac = (Vs^2)/R


Rectification efficiency, η = Pdc/Pac


Substituting the values, we get:



  • DC output power, Pdc = (Vdc^2)/R = (230/sqrt(2))^2/10 = 2640.67W

  • AC input power, Pac = (Vs^2)/R = (230)^2/10 = 5290W

  • Rectification efficiency, η = Pdc/Pac = 2640.67/5290 = 0.499 or 49.9%



Form Factor

Form factor is the ratio of RMS value to the average value of the output voltage.


RMS value of output voltage, Vrms = Vdc/sqrt(2)


Average value of output voltage, Vavg = Vdc/π


Form factor, FF = Vrms/Vavg


Substituting the values, we get:



  • RMS value of output voltage, Vrms = Vdc/sqrt(2) = (230/sqrt(2))/2 = 81.92V

  • Average value of output voltage, Vavg = Vdc/π = (230/π)*cos(60) = 65.83V

  • Form factor, FF = Vrms/Vavg = 81.92/65.83 = 1.24



Voltage Ripple Factor

Voltage ripple factor is the ratio of the RMS value of the ripple voltage to the DC output voltage.


RMS value of ripple voltage, Vr = Vdc*(1/π)*sqrt((1-cosα)/2)


Voltage ripple factor, Vrf = Vr/Vdc


Substituting the values, we get:



  • RMS value of ripple voltage, Vr = Vdc*(1/π)*sqrt((1-cosα)/2) = (230/sqrt(2))*(1/π)*sqrt((1-cos60)/2) = 26.79V

  • Voltage ripple factor, Vrf = Vr/Vdc = 26.79/115.03 = 0.232 or 23.2%



Transformer Utilization Factor

Transformer utilization factor is the ratio of DC output power
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A singel phase transformer with secondary voltage 230V 50Hz delivers power to load R=10ohm through a half wave controlled rectifier circuit for an firing angel delay 60 degree determine 1) rectification efficiency 2)form factor 3)voltage rippel factor 4)transformer utilization factor 5) PIV of thyristor?
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A singel phase transformer with secondary voltage 230V 50Hz delivers power to load R=10ohm through a half wave controlled rectifier circuit for an firing angel delay 60 degree determine 1) rectification efficiency 2)form factor 3)voltage rippel factor 4)transformer utilization factor 5) PIV of thyristor? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A singel phase transformer with secondary voltage 230V 50Hz delivers power to load R=10ohm through a half wave controlled rectifier circuit for an firing angel delay 60 degree determine 1) rectification efficiency 2)form factor 3)voltage rippel factor 4)transformer utilization factor 5) PIV of thyristor? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A singel phase transformer with secondary voltage 230V 50Hz delivers power to load R=10ohm through a half wave controlled rectifier circuit for an firing angel delay 60 degree determine 1) rectification efficiency 2)form factor 3)voltage rippel factor 4)transformer utilization factor 5) PIV of thyristor?.
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