An Iterative Flux Tracing Method Without Deutsch Assumption for Ion-Flow Field of AC/DC Hybrid Transmission Lines

It is an attractive way to build the ac/dc hybrid overhead lines to increase the capability of scarce transmission corridors. In this paper, a new approach is present to solve the fully coupled ion-flow problem of ac/dc hybrid lines. The 2-D transport equation of ions is transferred to 1-D fully coupled characteristic equations along each flux line, based on the methodology of the flux tracing method (FTM). An iterative process is proposed to reduce the error due to Deutsch assumption used in FTM. The calculation is efficient as only 1-D transport equations are solved. The iteration converges within only a few times since all the boundary conditions can be satisfied at each step. Results coincide well with measurements and calculations in the previous literature. Comparison shows that Deutsch assumption may lead to significant errors for the hybrid models and the proposed modification should be used.