In: Electrical Engineering
Design a circuit that converts a sinusoidal wave with 480Vrms at 60Hz into a three-phase set of voltages with 400 Vrms (Phase voltage) at 50 Hz. Suppose that this circuit is loaded with a Y-connected RL- series load with R=50Ω and 50 mH per phase. Make sure that the output THD is less than 5%. Verify your results with simulations. Estimate the power output with simulations in simulink.
The circuit converts AC voltage to DC and then inverts it to three phase @50Hz with a six step inverter:
Switches have a 50% duty cycle and a period of 50Hz,
Opposite switches:
SW1 SW4
SW2 SW5
SW3 SW6
Each switch triggers T/6 after the previous one, thus, the sequence is:
S1-S2-S3-S4-S5-S6
With a 3.33ms delay from each other.
Control signal of the switches, S4,S5 and S6 are complements of S1,S2,S3
To calculate the THD:
Voltage components for every harmonic:
for n=1,5,7
Impedance magnitude:
n | Vn,L-N | Zn | In | Irms |
1 | 432.15 | 25.44 | 16.99 | 12.01 |
5 | 86.43 | 81.09 | 1.07 | 0.75 |
7 | 61.74 | 111.82 | 0.55 | 0.39 |
THD: