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DOI: https://doi.org/10.5281/zenodo.19686209
# Bounded Criticality in Power Systems A reproducible research repository for finite-width critical bands, suppression of cascading failure, and scale-dependent transition structure across IEEE-39, IEEE-118, IEEE-300, and IEEE-2383 benchmark systems. This repository studies **bounded criticality** in realistic power-grid systems under stochastic loading. Unlike classical sharp critical-point pictures, the results here support a **finite-width critical regime**: a bounded transition region in which collapse probability changes continuously and control effectiveness becomes maximal. The repository integrates evidence across four benchmark systems: - **IEEE-39** — proof-of-concept suppression regime - **IEEE-118** — emergence of a finite-width critical band - **IEEE-300** — structured critical regime with stronger peak suppression - **IEEE-2383** — near-discontinuous critical edge - **Finite-width critical band** is observed in realistic power grids rather than a single sharp threshold. - **IEEE-118** shows a critical band around **30–50 MW**, with memory-dependent suppression near **40 MW**. - **IEEE-300** shows stronger suppression, with peak **Δ ≈ 0.332** near **126 MW**. - **IEEE-2383** exhibits a near-discontinuous edge, with a narrow transition around **29.05–29.10 MW** and extreme suppression. - **Peak susceptibility does not diverge**, supporting a bounded rather than classically divergent critical regime. - The empirical width of the critical band decreases with system size, but **no scaling law is claimed** from the limited width points. - **Domain:** Power systems / cascading failure - **Phenomenon:** Bounded criticality - **Systems:** IEEE-39, IEEE-118, IEEE-300, IEEE-2383 - **Mechanism:** Logistic softening with memory feedback - **Observables:** Collapse probability, suppression Δ, empirical band width, peak susceptibility - **Goal:** Identify and compare bounded transition structure across system size cd bounded-criticality-power-grids pip install -r requirements.txt Generate the main paper figures: Figure 1 — IEEE-118 critical band + memory ablation Generated from IEEE-118 rows in data/real_data.csv. Figure 3 — IEEE-300 finite-width band Shows baseline, controlled collapse probability, and suppression Δ across the critical regime. Figure 4 — Empirical critical band width Uses the compact width points for IEEE-118, IEEE-300, and IEEE-2383. No power-law fit is used. Figure 5 — Peak susceptibility Shows non-divergent peak susceptibility across system size. data/ compact paper dataset docs/ figure mapping and notes paper/ manuscript and generated figures scripts/ figure generation scripts case_studies/ieee39/ proof-of-concept case bounded criticality, finite-width critical band, cascading failure, power grid stability, memory feedback, IEEE benchmark systems, complex systems, critical phenomena, reproducible research Please use the repository citation metadata in CITATION.cff.