IBR Stability, Model Reduction, and Validation
Equilibrium and Linearization
C2-01 · Module outline
Construct and check local state-space models around each equilibrium.
Learning objectives
- Check an equilibrium before computing eigenvalues.
- Compare independent Jacobian calculations.
Concept outline
- Operating-point and input matching
- A/B/C/D matrices and algebraic closure
- Complex-step and finite-difference checks
Experiment direction · Planned
Simulation and code experiment
Compare nonlinear and linear responses for a small input step.
Model explanations, parameter settings, runnable code, and result interpretation will be developed here.
Practice and discussion
Explain a discrepancy caused by inconsistent initialization.
Worked solutions and feedback will accompany the full lesson.
Material preparation
Related notes, models, or notebooks are available and need adaptation into a web lesson and experiment.
Adapt the existing material into a lesson, a reproducible experiment, and worked practice.