← IBR Dynamics and Physics-Informed Learning

IBR Dynamics and Physics-Informed Learning

Physics-Informed Neural ODEs for IBR Dynamics

C3 · Core course · 9 modules

Learn continuous-time dynamics with data, physical constraints, and residual models.

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

Prerequisites and learning path

Python, introductory ODEs, and a simple GFM swing model; detailed converter modeling is needed for the advanced project.

Modules

  1. Dynamical Systems and Trajectory Data

    Build a simple reference system and construct meaningful training trajectories.

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  2. Neural Network Foundations

    Understand the function approximator used to learn a vector field.

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  3. Neural ODEs and Learned Vector Fields

    Learn a derivative law, then integrate it to predict trajectories.

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  4. Derivative and Trajectory Matching

    Compare noisy derivative labels with gradients through a numerical solver.

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  5. Physics Constraints and Residual Backbones

    Place physical knowledge in the loss or in the model architecture.

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  6. Continuous-Time PINNs and Neural ODEs

    Distinguish learning a solution function from learning a dynamic law.

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  7. Parameter Identification and Generalization

    Separate unknown-parameter estimation from prediction at supplied parameters.

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  8. Stability Diagnostics for Learned Models

    Check equilibria, local modes, and finite-horizon recovery before making claims.

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  9. From Swing Models to Converter Dynamics

    Plan a learning experiment with converter states, terminal outputs, and events.

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Course project

Compare pure NODE, grey-box, and physics-aware models on held-out trajectories.

Deliverables

  • Trajectory-based train, validation, and test splits.
  • Reproducible training with stated observations and losses.
  • Rollout and stability diagnostics with honest limitations.