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Grid Failure in Extreme Heat: Uncontrolled Grid Reactance Due to Increasingly Complex Corona Discharge

2025-04-29

A recent grid failure during extreme heat is attributed to uncontrolled grid reactance caused by corona discharge. High temperatures and low humidity exacerbated corona discharge on high-voltage transmission lines, introducing unexpected reactance that overwhelmed traditional grid stability control systems. The modern grid's rapid response capabilities, enabled by inverter-based energy storage, generation, and transmission, proved counterproductive in this case, amplifying grid imbalances and leading to cascading failures and a complete blackout. As climate change intensifies, such events may become more frequent, demanding improved models and mitigation strategies to ensure grid stability.

Non-Determinism in Classical Mechanics: Norton's Dome and the Space Invader

2025-02-15

Classical mechanics harbors some famously non-deterministic cases. The article first introduces Norton's Dome, where the derivative of the force is undefined at a specific point, leading to non-unique solutions. A more bizarre example is the 'Space Invader,' experiencing unbounded acceleration in finite time, reaching infinity at t=π/2. Painlevé non-collision singularities are also mentioned, such as a five-body gravitational problem where a particle reaches infinity in finite time. These examples challenge the deterministic assumptions of classical mechanics.