Multiple-Pulse PWM


d = \frac{\delta }{\omega } = {t_{m + 1}} - {t_m}
      = M{T_S} = M\frac{T}{{2p}}
{V_{o(rms)}} = \sqrt {\frac{{2p}}{{2\pi }}\int_{(\pi /p - \delta )/2}^{(\pi /p + \delta )/2} {V_S^2d\theta } }
                     = {V_S}\sqrt {\frac{{p\delta }}{\pi }}
{v_o}(t) = \sum\limits_{n = 1,3,5,...}^\infty  {{B_n}\sin n\omega t}



power electronic converter-Multiple-Pulse PWM
Harmonic Profile for p =5

{v_o}(t) = \sum\limits_{n = 1,3,5,...}^\infty  {{B_n}\sin n\omega t}
power electronic converter-Multiple-Pulse PWM
{B_n} = \sum\limits_{m = 1}^{2p} {\frac{{4{V_S}}}{{n\pi }}\sin \frac{{n\delta }}{4}} \left[ {\sin n\left( {{\alpha _m} + \frac{{3\delta }}{4}} \right) - \sin n\left( {\pi  + {\alpha _m} + \frac{\delta }{4}} \right)} \right]
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