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Physics-Informed Neural ODEs for IBR Dynamics

Dynamical Systems and Trajectory Data

C3-01 · Module outline

Build a simple reference system and construct meaningful training trajectories.

Learning objectives

  • Interpret states, equilibria, and numerical trajectories.
  • Design whole-trajectory splits before training.

Concept outline

  1. One-state ODE and two-state swing model
  2. Initial conditions, parameter families, and coverage
  3. Normalized teaching coordinates and measurement noise

Experiment direction · Planned

Simulation and code experiment

Generate swing-model trajectories from diverse initial conditions.

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

Practice and discussion

Explain why random time-row splitting can leak trajectory information.

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. Dynamical Systems and Trajectory Data
  2. Neural Network Foundations
  3. Neural ODEs and Learned Vector Fields
  4. Derivative and Trajectory Matching
  5. Physics Constraints and Residual Backbones
  6. Continuous-Time PINNs and Neural ODEs
  7. Parameter Identification and Generalization
  8. Stability Diagnostics for Learned Models
  9. From Swing Models to Converter Dynamics