On the relation of powerflow and Telegrapher's equations: continuous and numerical Lyapunov stability
Numerical Analysis
2021-02-01 v1 Numerical Analysis
Analysis of PDEs
Abstract
In this contribution we analyze the exponential stability of power networks modeled with the Telegrapher's equations as a system of balance laws on the edges. We show the equivalence of periodic solutions of these Telegrapher's equations and solutions to the well-established powerflow equations. In addition we provide a second-order accurate numerical scheme to integrate the powerflow equations and show (up to the boundary conditions) Lyapunov stability of the scheme.
Keywords
Cite
@article{arxiv.2101.12662,
title = {On the relation of powerflow and Telegrapher's equations: continuous and numerical Lyapunov stability},
author = {Eike Fokken and Simone Göttlich},
journal= {arXiv preprint arXiv:2101.12662},
year = {2021}
}
Comments
20 pages, 6 figures