Why three phase bridge rectified waveform is integrated over the half period \$\pi/6\$\ to find the average voltage? Should it not be integrated over \$\pi/3\$\, as the wave form repeat itself after \$\pi/3\$\ which is the time period of this waveform. Below is the waveform and related derivation. The book is Power Electronics 3rd Edition by Muhammad H. Rashid, page no 93. enter image description here

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1 Answer 1


The waveform from \$\pi /6\$ to \$\pi /3\$ is just the symmetrical reflection of the waveform from \$0\$ to \$\pi /6\$. Therefore, the average value will be the same over those two periods.

  • \$\begingroup\$ I am asking about integrating over two periods from 0 to \$\pi/3\$\ and from 0 to \$\pi/6\$\ \$\endgroup\$ Commented Jul 11, 2019 at 15:34
  • \$\begingroup\$ Yes, but the result will be the same because the waveforms during the second half of the \$\pi /3\$ period are just a reflection of the waveforms in the first half of the same period. \$\endgroup\$ Commented Jul 11, 2019 at 16:55

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