← IBR Stability, Model Reduction, and Validation

IBR Stability, Model Reduction, and Validation

Stability Counterexamples and Validity Boundaries

C2-06 · Module outline

Use failed reductions to locate model-validity limits.

Learning objectives

  • Separate implementation consistency from physical validity.
  • Track how validity changes with grid strength and operating point.

Concept outline

  1. Stable parent and unstable reduced child
  2. Network-dependent QSS failures
  3. Preserving negative results

Experiment direction · Planned

Simulation and code experiment

Inspect one frozen instability counterexample and vary its declared physical condition.

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

Practice and discussion

Write a validity statement that names the operating point and outputs.

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