Full-Wave Single-phase Controlled Rectifer

[OrangeArav]

I need help calculating the RMS value of the fundamental component of source current. The electrical circuit is a fully controlled single phase rectifier bridge. In the lecture the value is:

 

[Martaine2005]

This looks like homework..

Look on Youtube for “greatScott”. He has a great video on diodes and bridge rectifiers with all the revelent math and formula including RMS.

Martin

 

[Harald Kapp]

Calculating rms values is meaningful for repetitive (periodic) signals only.
The interval for integration is one period. Using symmetries the interval can be reduced to e.g. 1/2 period, 1/4 period or other fractions.
Your sketch doesn't show explicitly the periodicity. One may assume, I assume, that the signal repeats periodically, so the period would be ...(your's to find).
Using the symmetry of the signal you can reduce the interval to a smaller value.

By the way: while the text in your image is crisp, the sketch is rather blurry and veeery hard to read.