Topological index‐calculation of DAEs in circuit simulation
Caren Tischendorf · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 1998
Abstract In electric circuit simulation we are confronted with highly nonlinear DAEs with low smoothness properties. They may have index 2 but they do not belong to the class of Hessenberg form systems that are well understood. The classic and the charge‐oriented modified analysis are shown to lead to the same DAE‐index if the circuit models satisfy some natural assumptions. We present a topological criteria for calculating the index. This makes it possible to determine the index also for high‐dimensional circuit equation systems.