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Question

A 3-phase; M-3 converter is operated from 3-phase, 230V, 50 Hz supply with load resistance R = 10 Ω . If average output voltage is 50% of the maximum possible output voltage, then the rectification efficiency in percentage is ___
  1. 54.93

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Solution

The correct option is A 54.93
Let, α>30o

V0=3Vmp2π[1+cos(α+30o)]

Maximum possible output voltage

Vm=3Vml2π

3Vml2π3(1+cos(α+30o))=(3Vml2R)×12

α=67.7o

Vor=Vml2π[(5π6α)+12sin(2α+π3)]1/2

=2×2302π[(5π667.7×180)+12sin(2×67.7+60o)]1/2

= 104.76 V

Ior=104.76510=10.47A

Average output current,

Io=V0R

=3Vml2π×2×110=3×23024π×10=7.76A

Rectification efficiency = V0IoVorIor

=77.65×7.76104.76×10.47=54.93%

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