Validation Summary — scpn-control

This document provides a high-level summary of the validation evidence supporting the physical and architectural integrity of the scpn-control framework.

Claim	Evidence	Script	Result
GS solver converges	Solov'ev analytic benchmark	test_p0_regression.py	NRMSE < 1%
GS solver accuracy	Mesh convergence study	mesh_convergence_study.py	2nd Order (\(O(h^2)\))
Transport matches IPB98(y,2)	Scaling law comparison	validate_real_shots.py	95% within 2σ
H-inf outperforms PID	Controller comparison	controller_comparison.py	30% reward improvement
PPO beats MPC+PID	500K step benchmark	scpn_pid_mpc_benchmark.py	Higher mean reward
Real-time capable	Rust kernel latency	benchmark_disturbance_rejection.py	11.9 µs P50
Disruption prediction	Synthetic ROC analysis	disruption_roc_analysis.py	AUC > 0.85 (Base)
Physical Consistency	Energy balance diagnostic	benchmark_transport.py	Error < 1% (Internal)

Key Benchmarks

1. Equilibrium Accuracy

The Grad-Shafranov solver was benchmarked against the Solov'ev analytic solution. A mesh convergence study confirmed that the 5-point central difference stencil achieves the theoretical second-order spatial convergence rate.

2. Transport Fidelity

The 1.5D transport solver was validated against the ITPA H-mode confinement database. The predicted energy confinement times (\(\tau_E\)) show excellent agreement with the IPB98(y,2) scaling law across a wide range of plasma parameters (\(I_p\), \(B_T\), \(P_{loss}\)).

3. Control Performance

The robustness of the control stack was verified through a 1000-shot stress campaign. Advanced controllers (\(H_\infty\), MPC, PPO) consistently outperform standard PID baselines in tracking error and disruption avoidance, especially under high-noise conditions.

4. Real-Time Latency

End-to-end loop latency was measured using the Rust backend on a standard workstation. The median step latency of 11.9 µs supports control frequencies up to 80 kHz, exceeding the requirements for modern tokamak operations.