A 3-phase full converter delivers a ripple free load current of 10 A with a firing angle delay of 45°. Find the DF (distortion factor)

To find the distortion factor (DF) for a 3-phase full converter with a ripple-free load current and a firing angle delay, we can use the formula for the distortion factor:

[

DF = frac{I_{dc}}{I_{rms}}

]

Where:

– ( I_{dc} ) is the DC component of the load current.

– ( I_{rms} ) is the RMS value of the load current.

1. Calculating ( I_{dc} ):

In this case, the ripple-free load current is given as 10 A, which means:

[

I_{dc} = 10 , text{A}

]

2. Calculating ( I_{rms} ):

For a 3-phase full converter, ( I_{rms} ) can be calculated using the formula:

[

I_{rms} = sqrt{frac{1}{3} I_{dc}^2 left(1 + cos(alpha)right)}

]

Where (alpha) is the firing angle (45° in this case).

Now, substituting in the values:

[

I_{rms} = sqrt{frac{1}{3} (10^2) left(1 + cos(45^circ)right)}

]

Since (cos(45^circ) = frac{1}{sqrt{