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.

Equilibrium and Linearization

Construct and check local state-space models around each equilibrium.
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Modes, Participation, and Residues

Relate eigenvalues to physical states and observed response channels.
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Frequency and Time-Domain Validation

Evaluate a model against declared channels and disturbance scales.
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Time Scales, QSS, and Singular Perturbation

Understand the assumptions behind removing selected state dynamics.
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Conventional Reduction Baselines

Compare reduction methods under a shared input-output contract.
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Stability Counterexamples and Validity Boundaries

Use failed reductions to locate model-validity limits.
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Cross-Tool Evidence and Validation Levels

Interpret agreement without overstating what a reference model validates.
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Model Selection and Feedback-Path Diagnostics

Choose model fidelity by the property to preserve and inspect research diagnostics.
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Select a reduced model for specified outputs, frequency bands, disturbances, and grid strengths.