Let us define the ripple suppression factor K as the ratio of the ripple of the HVPS comprising N modules operating in phase V Nns to that having N phase-shifted modules VNs. The ripple can be considered as the p-p voltage of the HF ac component or can be represented in percent of the dc component. For simplicity sake, we will assume here that the rectified voltage of each module is a superposition of a dc component and a modulus of a sine wave. The ripple suppression factor can be easily computed; it is shown in a graphical form. It is shown that, for the analyzed case, N2 is proportional to K. For arbitrary ripple waveforms, this dependence is more complicated.
In general, K can be estimated using the formula K = α · N β, where the waveform-dependent coefficient α ≈ 1 ÷ 1.3 and the exponent β =1÷ 2. For a rectified sine wave, α ≈ 1.3 and β =2, as shown in Figure 2, whereas for a sawtooth ripple expressed, for instance, by a function ν (t) = −t + ceil (t), α =1and β =1 this statement can be also easily verified graphically. If the ripple factor is specified, the phase shift imparts approximately N to N2 reduction of the rise time, output capacitance, and the stored energy. Thus, the described multi cell concept enables the dc HV power supplies optimization in the space of the aforementioned parameters.
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