I. Introduction
In the ultra-high voltage substations, due to the phenomenon of electromagnetic induction, induced current will appear in the GIS / HGIS shell. Circulation mainly exist in the circuits of three-phase shell short-wire, ground-wire and grounding network. Operation shows that shell circulation values and the bus current is basically the same order of magnitude [1]–[4]. At the same time of produced loss of circulation, heat loss will accelerate the aging of the insulation. Therefore, it is necessary to accurately calculate the GIS / HGIS shell circulation and grounding network circulation, and to in-depth study the limiting measures of the grounding system.