Power Systems

Power systems encounter numerical challenges during stress conditions: power flow Jacobians become ill-conditioned near voltage collapse, state estimators face rank deficiency with limited measurements, and weak grid analysis struggles with low short-circuit ratios as renewable penetration increases. Traditional approaches use continuation methods, regularization, or robust solvers, but these can mask proximity to stability boundaries. ZeroProofML's framework for handling division-by-zero might offer alternative strategies for certain power system calculations, particularly where rational function structure appears naturally in the mathematical models.

Potential applications:

• Voltage stability analysis: Train fast neural approximations of P-V curves that maintain accuracy through the nose point, potentially useful for real-time margin assessment in control rooms
• Weak grid studies: Model inverter interactions at low SCR connection points, relevant as grids transition to higher renewable penetration
• Contingency screening: Improve N-1 analysis tools by maintaining convergence across wider operating ranges, reducing cases that require manual review
• State estimation: Handle measurement configurations with redundancy issues without arbitrary regularization that can bias results