← IBR Dynamics and Physics-Informed Learning

IBR Dynamics and Physics-Informed Learning

IBR Stability, Model Reduction, and Validation

C2 · Core course · 8 modules

Analyze retained dynamics and choose reduced models for a declared study domain.

Module framework available; full lessons, runnable experiments, and worked practice are in development.

Prerequisites and learning path

IBR modeling foundations, linear algebra, and basic feedback control.

Modules

  1. Equilibrium and Linearization

    Construct and check local state-space models around each equilibrium.

    Module outline

  2. Modes, Participation, and Residues

    Relate eigenvalues to physical states and observed response channels.

    Module outline

  3. Frequency and Time-Domain Validation

    Evaluate a model against declared channels and disturbance scales.

    Module outline

  4. Time Scales, QSS, and Singular Perturbation

    Understand the assumptions behind removing selected state dynamics.

    Module outline

  5. Conventional Reduction Baselines

    Compare reduction methods under a shared input-output contract.

    Module outline

  6. Stability Counterexamples and Validity Boundaries

    Use failed reductions to locate model-validity limits.

    Module outline

  7. Cross-Tool Evidence and Validation Levels

    Interpret agreement without overstating what a reference model validates.

    Module outline

  8. Model Selection and Feedback-Path Diagnostics

    Choose model fidelity by the property to preserve and inspect research diagnostics.

    Module outline

Course project

Select a reduced model for specified outputs, frequency bands, disturbances, and grid strengths.

Deliverables

  • A declared operating domain and acceptance criteria.
  • Modal, frequency-domain, and time-domain evidence.
  • A model-selection report retaining failed candidates.