← IBR Stability, Model Reduction, and Validation

IBR Stability, Model Reduction, and Validation

Time Scales, QSS, and Singular Perturbation

C2-04 · Module outline

Understand the assumptions behind removing selected state dynamics.

Learning objectives

  • Partition retained and candidate fast states.
  • Check regularity, separation, and boundary-layer stability.

Concept outline

  1. Slow-fast partitions and Schur closure
  2. Zero-order and first-order approximations
  3. Conditional reduction edges

Experiment direction · Planned

Simulation and code experiment

Apply QSS to one declared physical state block and inspect its assumptions.

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

Practice and discussion

Explain why state speed alone does not establish a valid reduction.

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