access icon free Marching-on-in-time solution of delayed PEEC models of conductive and dielectric objects

In this work, a marching-on-time solver for time-domain simulation of partial element equivalent circuit (PEEC) models of electromagnetic systems is presented. The PEEC method is based on the electric field integral equation and the continuity equation. It describes separate magnetic and electric field couplings in terms of partial inductances and coefficients of potential. When the propagation delay is taken into account, the enforcement of Kirchhoff current and voltage laws results in a set of delayed differential equations. Typically, in the PEEC method, currents and charges are expanded with rectangular basis functions in both time and space. In this work, higher order basis functions are used to expand currents and charges in time. The resulting TD-PEEC solver is tested by comparison with other solvers that operate in both the time- and the frequency-domain and exhibits a satisfactory accuracy and better stability properties.

Inspec keywords: electromagnetic wave propagation; electromagnetic coupling; delays; dielectric materials; equivalent circuits; differential equations; time-frequency analysis; electric field integral equations

Other keywords: coefficients of potential; partial inductances; propagation delay; higher order basis functions; marching-on-in-time solution; electromagnetic systems; electric field integral equation; continuity equation; voltage laws; delayed PEEC models; time-domain; electric field couplings; magnetic field couplings; time-domain simulation; conductive objects; partial element equivalent circuit; PEEC method; frequency-domain; marching-on-time solver; dielectric objects; resulting TD-PEEC solver; delayed differential equations; rectangular basis functions

Subjects: Mathematical analysis; Electromagnetic wave propagation; General circuit analysis and synthesis methods; Dielectric materials and properties; Integral equations (numerical analysis)

http://iet.metastore.ingenta.com/content/journals/10.1049/iet-map.2018.5233
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