Transfer Function and Network Synthesis of Electrical Fast Transient/Burst Generator Based on Latent-Roots Method

This paper presents a method to construct a transfer function (TF) of the pulse-forming network by using the latent-roots method for modeling the electrical fast transients/burst (EFT/B) generator. In the TF, two negative real roots characterize the nonoscillation process of the network, while one complex-conjugate pair characterizes the damping-oscillation process. All the four latent roots of the TF are determined according to the open-circuit specification by the manufacturer. The equivalent circuit of the EFT/B generator is synthesized with the Cauer method, and renormalized according to the matching circuit specification. Based on the aforementioned procedures, a parameterized circuit is realized, whose circuit parameters can be adjusted conveniently to meet the specifications identified by different manufacturers. Finally, the modeling method is validated experimentally.