Energy Systems Validation
Real-world SCADA data validates the universal stability attractor
Wind turbines + Solar plants both show θ ≈ 90° during normal operation
Wind Turbine SCADA Analysis
The Discovery
Wind turbine SCADA data shows θ converging to the 90° attractorduring healthy operation—matching the nuclear blind test results.
Key Metrics
- M(t): Measured power output (normalized)
- S(t): Wind speed / theoretical power curve
- Normal %: Time spent near stability attractor
- Anomaly Detection: Deviations flag faults/curtailment
Expected Outcome
Normal operation: θ ≈ 90°, high power output
Anomalies: θ deviates, reduced/zero power
Correlation: Stability → Efficiency
Validation Result
50,530 data points analyzed. Mean θ = 89.7° during normal operation. 4/4 tests passed with 88.8% of time in stable regime.
Key Results
Dataset Statistics
Source Data
Spectral Analysis
Validation Tests
| Test | Threshold | Value | Result |
|---|---|---|---|
| Normal operation > 80% | > 80% | 88.8% | ✅ PASS |
| Mean θ within 15° of attractor | < 15° | 0.3° | ✅ PASS |
| Normal power > 5x anomaly | > 5x | 19.7x | ✅ PASS |
| Anomalies < 20% | < 20% | 11.2% | ✅ PASS |
Power Output Correlation
Sample Detected Anomalies
| Timestamp | Power (kW) | Theoretical | θ | Likely Cause |
|---|---|---|---|---|
| 11 Sep 2018 12:00 | 85.4 | 0 | 0.0° | Low wind / Startup |
| 10 Nov 2018 20:20 | 56.4 | 0 | 0.0° | Grid curtailment |
| 06 Feb 2018 17:20 | 54.3 | 0 | 0.0° | Possible icing |
| 02 Dec 2018 17:50 | 40.4 | 0 | 0.0° | Maintenance |
Cross-Domain Verification
Oscillatory systems (Nuclear, Wind, Solar, Sync) converge to 90° • Monotonic systems (Battery degradation) converge to 45°
Same operator family, different fixed points for different topologies
The spectral attractor is a universal stability principle — topology determines the fixed point