Estimating coil features from an equilibrium

TL;DR

This paper introduces a theoretical framework for designing artificial modular coils using equilibrium magnetic properties, linking coil complexity to local magnetic field features.

Contribution

The paper presents a novel explicit method to construct coils based on equilibrium properties, enhancing understanding and design of coil configurations.

Findings

Coil non-planarity is strongly influenced by local magnetic field properties.

The framework offers a practical proxy for coil design based on equilibrium analysis.

Key measures of coil complexity can be predicted from magnetic field characteristics.

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.