← IBR Stability, Model Reduction, and Validation

IBR Stability, Model Reduction, and Validation

Conventional Reduction Baselines

C2-05 · Module outline

Compare reduction methods under a shared input-output contract.

Learning objectives

  • Distinguish physical-state and balanced-coordinate reductions.
  • Use methods within their stated assumptions.

Concept outline

  1. QSS and first-order singular perturbation
  2. Balanced truncation and residualization
  3. Participation-guided state selection

Experiment direction · Planned

Simulation and code experiment

Compare equal-order candidates by stability, frequency response, and runtime.

Model explanations, parameter settings, runnable code, and result interpretation will be developed here.

Practice and discussion

Explain a tradeoff between compactness and retained physical meaning.

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.

All modules in this course
  1. Equilibrium and Linearization
  2. Modes, Participation, and Residues
  3. Frequency and Time-Domain Validation
  4. Time Scales, QSS, and Singular Perturbation
  5. Conventional Reduction Baselines
  6. Stability Counterexamples and Validity Boundaries
  7. Cross-Tool Evidence and Validation Levels
  8. Model Selection and Feedback-Path Diagnostics