Mathematics – Numerical Analysis
Scientific paper
2011-03-08
Mathematics
Numerical Analysis
35 pages
Scientific paper
In this contribution, we develop a variational integrator for the simulation of (stochastic and multiscale) electric circuits. When considering the dynamics of an electrical circuit, one is faced with three special situations: 1. The system involves external (control) forcing through external (controlled) voltage sources and resistors. 2. The system is constrained via the Kirchhoff current (KCL) and voltage laws (KVL). 3. The Lagrangian is degenerate. Based on a geometric setting, an appropriate variational formulation is presented to model the circuit from which the equations of motion are derived. A time-discrete variational formulation provides an iteration scheme for the simulation of the electric circuit. Dependent on the discretization, the intrinsic degeneracy of the system can be canceled for the discrete variational scheme. In this way, a variational integrator is constructed that gains several advantages compared to standard integration tools for circuits; in particular, a comparison to BDF methods (which are usually the method of choice for the simulation of electric circuits) shows that even for simple LCR circuits, a better energy behavior and frequency spectrum preservation can be observed using the developed variational integrator.
Cheng Mulin
Marsden Jerrold E.
Ober-Blöbaum Sina
Owhadi Houman
Tao Molei
No associations
LandOfFree
Variational integrators for electric circuits does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Variational integrators for electric circuits, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Variational integrators for electric circuits will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-83209