Study of Single Phase Semi-converter (Common Cathode Configuration) with resistive load (Lamp load), RL load with and without freewheeling diode.
Circuit Diagram
Single Phase Semi-converter (Com mon Cathode Configuration) with Lamp Load

Single Phase Semi-converter (Common Cathode Configuration) with Motor Load
Single Phase Semi-converter (Effect of Freewheeling Diode) with Motor Load

Observation table: R load:
| Firing angle(α) | Vavg(Theoretical) | Vavg(Practical) | Time Period(ms) | Vrms(Theoretical) | Vrms(Practical) |
| 30 | 193.2 | 193 | 1.667 | 226.66 | 234 |
| 40 | 182.54 | 179 | 2.2 | 222.34 | 227 |
| 88.2 | 106.79 | 123 | 4.9 | 166.03 | 184 |
RL load without freewheeling diode:
| Firing angle(α) | Vavg(Theoretical) | Vavg(Practical) | Time Period(ms) | Vrms(Theoretical) | Vrms(Practical) |
| 68.4 | 141.65 | 150 | 3.8 | 196.37 | 207 |
| 104.4 | 80.95 | 91.5 | 5.8 | 136.47 | 154 |
| 126 | 45.34 | 54.1 | 7 | 92.57 | 101 |
RL load with freewheeling diode:
| Firing angle(α) | Vavg(Theoretical) | Vavg(Practical) | Time Period(ms) | Vrms(Theoretical) | Vrms(Practical) |
| 68.4 | 141.65 | 151 | 3.8 | 196.37 | 206 |
| 102.6 | 80.95 | 97.7 | 5.7 | 136.47 | 160 |
| 124.2 | 45.34 | 73.3 | 6.9 | 92.57 | 134 |
Equations:
V0 = V m/π(1+cos α)
Vrms= = V s[1/π[(π-α) + sin2α/2]] 1/2
RL load with and without freewheeling diode:
V0 = Vm/π(1 + Cosα)
Vrms= = V s[1/π[(';π'-α) + sin2α/2]] 1/2
Theoretical calculations:

Experimental Waveforms:
R load:

RL load:

RL load with freewheeling diode:

Conclusion: By varying the firing angle control potentiometer of ramp comparator firing circuit, output voltage across the loads, their waveform was observed.
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