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Physics-Informed Neural ODEs for IBR Dynamics

Neural ODEs and Learned Vector Fields

C3-03 · Module outline

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

Learning objectives

  • Distinguish local derivative fit from rollout accuracy.
  • Separate integration error from model error.

Concept outline

  1. One-dimensional learned dynamics
  2. Two-dimensional GFM vector field
  3. Euler, RK4, and extrapolation

Experiment direction · Planned

Simulation and code experiment

Compare learned and reference phase portraits with held-out initial conditions.

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

Practice and discussion

Explain how a small derivative error can accumulate in a rollout.

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