A current potential on flux surfaces allows coil complexity measures such as non-planarity to be estimated directly from local magnetic field properties of an equilibrium.
Estimating coil features from an equilibrium
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
abstract
We present an explicit theoretical framework for constructing artificial modular coils based solely on equilibrium properties, achieved through the formulation of a current potential defined on flux surfaces. We demonstrate that key measures of coil complexity (particularly coil non-planarity) are strongly governed by local magnetic field properties and show promise as predictors for more realistic coil configurations. This approach provides both a pathway towards deeper understanding of equilibrium-coil relationships and a potential practical proxy for coil design.
fields
physics.plasm-ph 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
Statistical study of QI stellarator designs shows principal-direction rotation rate of the plasma boundary best predicts coil non-planarity, with surface features yielding Random Forest R²=0.882.
An analytic formula is provided for surface current distributions j on a coil surface Σ such that the Biot-Savart field from j plus the field from the plasma current exactly equals the target equilibrium field B inside the plasma domain.
citing papers explorer
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Estimating coil features from an equilibrium
A current potential on flux surfaces allows coil complexity measures such as non-planarity to be estimated directly from local magnetic field properties of an equilibrium.
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Exploring the link between coil non-planarity and magnetic surface geometry across a dataset of QI stellarators
Statistical study of QI stellarator designs shows principal-direction rotation rate of the plasma boundary best predicts coil non-planarity, with surface features yielding Random Forest R²=0.882.
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An analytic formula for surface currents generating prescribed plasma equilibrium fields
An analytic formula is provided for surface current distributions j on a coil surface Σ such that the Biot-Savart field from j plus the field from the plasma current exactly equals the target equilibrium field B inside the plasma domain.