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Publication series 1 — The Machine

Shaped to Behave: Why MetroVolt Runs the Triangle Upside-Down

Negative triangularity trades a little textbook elegance for a plasma edge that doesn't bite.

Most tokamaks point their plasma cross-section toward the center column. MetroVolt points it the other way — δ = −0.30 — and that one sign flip is the quietest big decision in the design.

The science

Conventional 'positive-triangularity' plasmas earn their confinement in H-mode, a regime whose edge periodically erupts in edge-localized modes (ELMs) — millisecond heat pulses that erode any wall built by humans. Negative-triangularity (NT) plasmas, demonstrated on the DIII-D and TCV tokamaks, hold near-H-mode confinement without that eruptive edge: the magnetic geometry suppresses the instability drive at the boundary while turbulence in the core actually improves.

MetroVolt freezes δ = −0.30 and verifies it the hard way: a free-boundary Grad–Shafranov equilibrium (FreeGS) computes the real shaped plasma at full current, returning a safety factor q95 of 4.94 at the 43 MA benchmark — which is exactly why the operating point is set at 42.5 MA: backing off the current keeps the machine at or above its own q95 ≥ 5.0 floor.

Why it matters

An ELM-free edge is not a luxury; it is what lets a first wall survive contact with a commercial duty cycle. Combined with the deliberately low heat load of the D-³He fuel cycle (0.10–0.12 MW/m²), the NT choice converts 'plasma-facing components' from a consumable into plant infrastructure.

Our own deposited δ-scan (S77) even reports the adverse trend honestly: pushing the triangle deeper costs safety-factor margin. The frozen −0.30 sits at the favourable end of the trade — chosen, tested, and published, not asserted.

The numbers

Triangularity δ−0.30 (frozen)
Edge regimeELM-suppressed (NT)
q95 at 43 MA benchmark4.94 (FreeGS)
Operating floorq95 ≥ 5.0 at 42.5 MA
Shape verificationfree-boundary equilibrium, deposited
Straight answersNT confinement at MetroVolt scale extrapolates from DIII-D/TCV experiments; the required H98 is stated openly as 1.8–2.2 (mode-dependent) rather than assumed. The δ-scan that argues against going deeper (S77) is deposited alongside the results that favour us.
Every figure in this paper traces to the openly deposited 81-simulation programme (S01–S81) behind the Kronos MetroVolt four-paper design series — data and code at DOI 10.5281/zenodo.21248916 (CC BY 4.0). Read the series, run the code, check us.
Kronos MetroVolt is a conceptual design study. Quantitative values are simulation-derived and carry the feasibility gates stated in the series; Tier-2 flagship-code confirmations are deposited as runnable decks pending HPC execution. This document is informational and is not an offer of securities. © 2026 Kronos Fusion Energy, Los Angeles.