DC IR-Drop Analysis of Power Distribution Networks by a Robin Transmission Condition-Enhanced Discontinuous Galerkin Method

In this work, a novel Robin transmission condition (RTC)-enhanced discontinuous Galerkin (DG) method is proposed for the dc IR-drop analysis of power distribution networks with Joule heating effects included. Unlike conventional DG method, straightforwardly applied to discretize second-order spatial partial differential governing equations electrostatic potential $\Phi $ and steady-state temperature notation="LaTeX">$T$ . The numerical flux in used facilitate information exchange among neighboring subdomains introduces two additional variables: current density notation="LaTeX">$J$ electrical equation thermal notation="LaTeX">$q$ equation. To solve them, at interface subdomains, an RTC presented as second establish another connection solutions subdomains. With strategy, number degrees freedom (DoFs) involved RTC-DG dramatically reduced compared traditional method. finalized matrix system solved finite-element tearing interconnecting (FETI)-like procedure, namely unknowns are obtained subdomain-by-subdomain scheme. Finally, accuracy efficiency validated by several representative examples.