Two-Cascaded Sections of a Pipeline Problem

Solving Equations 6.15 and 6.9, the following results are easily obtained  

One of the reasons for developing the F-parameter approach to deal with cascaded connection of pipeline sections is to find effective grounding resistances and separation distance between them. Those become a significant subject in practice in Japanese gas pipelines. Based on the earlier approximate results, the characteristic of induced voltages and currents and the effect of grounding resistances can be discussed. 

The earlier result is the same as Equation 6.13 for a single-section pipeline considering that node 2 in Equation 6.13 is node 3 here. 

The earlier results shows similar characteristic to that in Section 4.3.1(3) as far as and V3 are concerned. 

Equation 6.17 corresponds to the case of grounding an interme-diafe position of a pipeline of which both ends are grounding through resistances R and R3, and thus, the effect of fhe grounding resisfance R2 on an induced voltage can be discussed in comparison with no grounding, that is. 

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