← IBR Stability, Model Reduction, and Validation

IBR Stability, Model Reduction, and Validation

Modes, Participation, and Residues

C2-02 · Module outline

Relate eigenvalues to physical states and observed response channels.

Learning objectives

  • Interpret frequency, damping, and participation.
  • Distinguish state participation from input-output visibility.

Concept outline

  1. Eigenvectors and conjugate mode pairs
  2. Participation factors and physical state groups
  3. Modal residues and measured channels

Experiment direction · Planned

Simulation and code experiment

Compare the dominant mode across selected controller families.

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

Practice and discussion

Find a mode that has weak visibility in one output.

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