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Example A dc battery of constant emf E is being charged through a resistor using halfwave diode rectifier. For source voltage of 230 V, 50 Hz and for R =8Ξ©, E =150 V, (a) Find the value of average charging current, (b) Find the power supplied to battery and that dissipated in the resistor, (c) Calculate the supply pf, (d) Find the charging time in case battery capacity is 1000 Wh and (e) Find rectifier efficiency and PIV of the diode. Dr. Oday A. Ahmed the value of average charging current Dr. Oday A. Ahmed the power supplied to battery the power dissipated in the resistor Dr. Oday A. Ahmed Calculate the supply pf, Find the charging time in case battery capacity is 1000 Wh (Power delivered to battery) ×(charging time in hours)= Battery capacity in Wh Hence, charging time is Dr. Oday A. Ahmed rectifier efficiency πππ€ππ πππππ£ππππ π‘π πππ‘π‘πππ¦ πππ‘ππ ππππ’π‘ πππ€ππ PIV of the diode What is the PIV of the single-phase diode Rectifier Supply R-Load Dr. Oday A. Ahmed A single-phase 230V: 1kW heater is connected across I-phase 230V, 50Hz supply through an SCR. For firing angle delays of 45° and 90°, calculate the power absorbed in the heater element. 230V, 1kW Heater Dr. Oday A. Ahmed Solution Heater resistance: For Ξ±=450, RMS output voltage: πππ = 2.230 2 π πβ π 4 1 2 + π ππ900 = 155.071 V absorbed by heater element for Ξ±=450 Dr. Oday A. Ahmed Power Power absorbed by heater element for Ξ±=450 2 πππ 155.071 = π 230 2 × 1000 = 454.57 π€ππ‘π‘ For Ξ±=900, RMS output voltage: 2. 230 πππ = 2 π π 1 πβ + π ππ1800 = 115 V 2 2 Power absorbed by heater element for Ξ±=900 2 πππ 115 = π 230 2 × 1000 = 250 π€ππ‘π‘ Dr. Oday A. Ahmed In a single-phase full-wave diode bridge rectifier, the diodes have a reverse recovery time of 40 µs. For an AC input voltage of 230 V, determine the effect of reverse recovery time on the average output voltage for a supply frequency of (a) 50 Hz and (b) 2.5 kHz. Solution D 1 and D2 will not be off at Οt =Ο but will continue to conduct until t=( Ο/Ο )+trr Dr. Oday A. Ahmed With zero reverse recovery time, average output voltage, Dr. Oday A. Ahmed For f= 50 Hz and trr = 40 µs, the reduction in the average output voltage, Percentage reduction in average outpace voltage Dr. Oday A. Ahmed (a) For f= 2.5k Hz, the reduction in the average output voltage, Percentage reduction in average output voltage Dr. Oday A. Ahmed