A 3-phase full converter delivers a ripple free load current of 10 A with a firing angle delay of 45°. The input voltage is 3-phase, 400 V, 50 Hz. The source current is given by the following relation. Find the fundamental component of the source current amplitude

To find the fundamental component of the source current amplitude for a 3-phase full converter, we can follow these steps:

1. Understand the Output DC Voltage (V_dc): For a 3-phase full converter, the average output DC voltage can be calculated using the formula:

[

V_{dc} = frac{3 sqrt{2} V_{l-l}}{pi} cos alpha

]

where ( V_{l-l} ) is the line-to-line voltage, and ( alpha ) is the firing angle.

Given:

– ( V_{l-l} = 400 , V )

– ( alpha = 45^circ = frac{pi}{4} )

We can substitute these values:

[

V_{dc} = frac{3 sqrt{2} cdot 400}{pi} cosleft(45^circright)

]

[

V_{dc} = frac{3 sqrt{2} cdot 400}{pi} cdot frac{1}{sqrt{2}} = frac{3 cdot 400}{pi} = frac{1200}{pi} approx 382.7 , V

]

2. Calculate the Load Resistance (R): The load current (I_dc