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

Area of Science:

• * Electromagnetism and its applications in aerospace engineering.
• * Computational physics and numerical methods.

Background:

• * Mutual inductance between coils is vital for electromagnetic torque generation in aerospace, particularly for solar panel deployment.
• * Existing methods for calculating mutual inductance can be computationally intensive, necessitating more efficient approaches.

Purpose of the Study:

• * To develop a straightforward and efficient method for calculating mutual inductance between arbitrarily positioned rectangular coils.
• * To extend this method for calculating mutual inductance in rectangular multi-turn coils using superposition.
• * To validate the accuracy and efficiency of the proposed computational method.

Main Methods:

• * Application of the Kalantarov-Zeitlin method and the Neumann formula for mutual inductance calculation.
• * Development of a superposition principle-based method for multi-turn rectangular coils.
• * Validation through comparison with published literature data and experimental measurements.

Main Results:

• * The proposed method demonstrates shorter computation times compared to existing techniques.
• * Calculated mutual inductance values closely match results from other methods and experimental data.
• * Achieved calculation accuracy exceeds 95%.

Conclusions:

• * The presented method provides an accurate and efficient means for determining mutual inductance in rectangular coils.
• * This reliable computational tool supports the precise calculation of electromagnetic forces for aerospace applications, such as solar array deployment.
• * The findings contribute to advancements in electromagnetic actuation systems for space technology.