# An Effective Method for Calculation of Mutual Inductance Between Rectangular Coils at Arbitrary Positions in Space

## TL;DR

This paper introduces a fast and accurate method to calculate mutual inductance between rectangular coils in any position, validated through experiments and comparisons.

## Contribution

A novel and efficient method for calculating mutual inductance between arbitrarily positioned rectangular multi-turn coils is proposed.

## Key findings

- The proposed method achieves computation times shorter than existing methods.
- The calculation accuracy exceeds 95%, aligning closely with experimental measurements.
- The method is validated using literature data and a custom-built measurement platform.

## Abstract

Electromagnetic torques generated by mutual inductance between energized coils are widely used in aerospace applications, especially for solar panel deployment. Accurate and rapid acquisition of mutual inductance between coils is essential to provide the necessary electromagnetic force. Therefore, based on the Kalantarov–Zeitlin method and the Neumann formula, this paper presents a straightforward and efficient calculation method for mutual inductance between rectangular coils positioned arbitrarily in space. Building on this foundation, we develop a calculation method for mutual inductance between rectangular multi-turn coils using the principle of superposition. The accuracy of the proposed method’s calculations is validated using data from the published literature, and the computation time is compared with that of other methods. To further validate the accuracy of the computational method proposed in this paper, a rectangular multi-turn coil mutual inductance measurement platform has been constructed. The results indicate that the computation time of the proposed method is shorter, and the calculation outcomes closely align with those obtained from other methods as well as experimental measurements. Furthermore, the calculation accuracy exceeds 95%, providing a reliable basis for determining the electromagnetic force required for the deployment of the solar array driven by electromagnetism.