Question

A semi-converter circuit gives the following voltage waveform. Find the expression for the average output voltage with Vs = Vm sinωt and firing angle α

(a) (Vm/π) cosα

(b) (Vm/π) (1+cosα)

(c) (2Vm/π) cosα

(d) (2Vm/π) (1+cosα)

I got this question in examination.

The origin of the question is Single Phase Semi-Converters-1 in portion Converters of Power Electronics

Answer 1

The correct option is (b) (Vm/π) (1+cosα)

Explanation: Vo = 1/π ∫ Vm sinωt d(ωt), Where the integration runs from α to π.