Fourier series analysis and synthesis of type-E PFNs for time-varying loads

The synthesis of type A, B, and C pulse forming networks (PFNs) is relatively straightforward with Cauer and partial-fraction (Foster) expansion methods of the driving-point impedance or admittance functions. Analytical derivations of type D and E PFNs are much more difficult due to the necessity of calculating the negative inductances of the type D network. Type E networks are preferred in practice due to their ease of construction. Normally, these networks are designed for constant loads. However, non-linear or time-varying loads are common. When accurate voltage flat-tops are required, matching a PFN to the load is critical. Other authors have examined PFN designs for time-varying loads based on type-C topologies.