Homotopy Initialization #3988
Description
What kind of problems is it mostly used for? Please describe.
In electrical circuits, it's common for initialization to fail in the general case. Manually ramping all sources and inputs from 0 can help find a consistent initial state. https://discourse.julialang.org/t/issue-using-modelingtoolkit-to-simulate-electrical-circuits/133415/6
Describe the algorithm you’d like
A more general algorithm for consistent initialization based on homotopies.
Other implementations to know about
There is a homotopy solver in ACME.jl https://github.com/HSU-ANT/ACME.jl/blob/main/src/solvers.jl#L247