5. Half Wave SCR Rectifier/ Resistive Load R-Load 1 𝑉𝑃 = 𝑉𝑅𝑀𝑆 𝑥 22 1 = 100 𝑥 22 = 141.42136𝑉 𝑇𝑜𝑡𝑎𝑙 𝑡𝑖𝑚𝑒: 𝑃𝑒𝑟𝑖𝑜𝑑 = 1/𝑓 = 1/50 = 0.02 sec 𝐹𝑜𝑟 2 𝑐𝑦𝑐𝑙𝑒𝑠, 𝑡𝑜𝑡𝑎𝑙 𝑡𝑖𝑚𝑒 = 0.04 𝑠𝑒𝑐 Topology circuit: Vac Vac rms value RMS value Time from: 1.000000 e-005 Time to: 4.0000000 e-002 Vac: 1.0000000 e+002 Calculated Vac: 100V rms Vdc Vdc average value Average value Time from: 1.000000e-005 Time to: 4.0000000 e-002 Vdc: 4.5015545 e+001 Calculated Vdc average: 45.02V Idc Iac rms value RMS value Time from: 1.000000e-005 Time to: 4.0000000 e-002 Iac: 1.4142133 e+000 Calculated Iac: 1.41A SCR: The SCR a silicon controlled rectifier with an assumed voltage drop of 0.7V. The simulation results are in accordance with the experimental results. The differences in the theoretically calculated values by simulation and the measured experimental values are due to: The SCR voltage considered in this simulation is not an accurate value. The voltage set by the variac is not exactly 100vrms. The resistive load is not actually set to 50 ohms. The input AC source is not an exact sine wave. The probes are not calibrated properly. RL – LOAD Circuit topology Vac Vdc Idc Vdc average value Average value Time from: 1.000000e-005 Time to: 4.0000000 e-002 Vdc: 3.5921669 e+001 Calculated Vdc average: 35.92V Iac average value Average value Time from: 1.000000e-005 Time to: 4.0000000 e-002 Iac: 7.1952787 e-001 Calculated Iac average: 719.53 mA Rms Iac rms value RMS value Time from: 1.000000e-005 Time to: 4.0000000 e-002 Iac: 1.0419265 e+000 Calculated Iac: 1.04A Free Wheel Diode with LR – LOAD Free wheel diode provide a path for the discharge current. Circuit topology Vac Vdc Iac Vdc average value Average value Time from: 1.000000e-005 Time to: 4.0000000 e-002 Vdc: 4.5015770 e+001 Calculated Vdc average: 45.02V Iac rms value RMS value Time from: 1.000000e-005 Time to: 4.0000000 e-002 Iac: 9.9103975 e-001 Calculated Iac: 0.991 A Average current value Time from: 1.000000e-005 Time to: 4.0000000 e-002 Iac: 6.1366825 e-001 Calculated Iac: 613.67 mA d) Simple R load with output filter capacitor Filters are circuits that remove ripples from rectified circuits Filter capacitor allows ac and blocks dc. 1 𝑉𝑃 = 𝑉𝑅𝑀𝑆 𝑥 22 1 = 50 𝑥 22 = 70. 71068 𝑉 Circuit topology Vac Vdc Iac Vdc rms value RMS value Time from: 1.000000e-005 Time to: 4.0000000 e-002 Vdc: 6.4003291 e+001 Calculated Vdc average: 64.00V Iac rms value RMS value Time from: 1.000000e-005 Time to: 4.0000000 e-002 Iac: 1.2905524e+001 Calculated Iac: 12.91 A FULLWAVE a) R – Load Topology circuit Vac Vdc I Vdc rms value RMS value Time from: 1.000000e-005 Time to: 4.0000000 e-002 Vdc: 9.9999959 e+001 Calculated Vdc average: 100.00V Iac rms value RMS value Time from: 1.000000e-005 Time to: 4.0000000 e-002 Iac: 1.9999992 e+000 Calculated Iac: 2.00 A b) LR – Load Circuit Topology Vac Vdc I Vdc rms value RMS value Time from: 1.000000e-005 Time to: 3.9950000 e-002 Vdc: 1.0006252 e+002 Calculated Vdc average: 10.00V Iac rms value RMS value Time from: 1.000000e-005 Time to: 3.9950000 e-002 Iac: 1.7166231 e+000 Calculated Iac: 1.72 A c) Simple R- Load with output filter capacitor Circuit Topology Vac Vdc I Vdc rms value RMS value Time from: 1.000000e-005 Time to: 4.0000000 e-002 Vdc: 6.766467 e+001 Calculated Vdc average: 67.66V Iac rms value RMS value Time from: 1.000000e-005 Time to: 4.0000000 e-002 Iac: 1.2391495 e+001 Calculated Iac: 12.39 A