Mathematical Analysis of the Electromotive Induced Force in a Magnetically Damped Suspension

Susana Aberturas (), Juan Diego Aguilera, José Luis Olazagoitia, Miguel Ángel García and Antonio Hernando
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Susana Aberturas: Micromag 2000 SL, Avenida de Arroyomolinos, 3 y 5, P.L. Ventorro del Cano, 28925 Alcorcón, Spain
Juan Diego Aguilera: Instituto de Magnetismo Aplicado (IMA), Universidad Complutense de Madrid-Administrador de Infraestructuras Ferroviarias (UCM-ADIF), 28230 Las Rozas, Spain
José Luis Olazagoitia: Faculty of Design, Innovation and Technology, University of Design, Innovation and Technology (UDIT), Av. Alfonso XIII, 97, 28016 Madrid, Spain
Miguel Ángel García: Instituto de Cerámica y Vidrio, Campus de Cantoblanco, Consejo Superior de Investigaciones Científicas (CSIC), 28049 Madrid, Spain
Antonio Hernando: Instituto de Magnetismo Aplicado (IMA), Universidad Complutense de Madrid-Administrador de Infraestructuras Ferroviarias (UCM-ADIF), 28230 Las Rozas, Spain

Mathematics, 2024, vol. 12, issue 7, 1-16

Abstract: This study explores the advanced mathematical modeling of electromagnetic energy harvesting in vehicle suspension systems, addressing the pressing need for sustainable transportation and improved energy efficiency. We focus on the complex challenge posed by the non-linear behavior of magnetic flux in relation to displacement, a critical aspect often overlooked in conventional approaches. Utilizing Taylor expansion and Fourier analysis, we dissect the intricate relationship between oscillation and electromagnetic damping, crucial for optimizing energy recovery. Our rigorous mathematical methodology enables the precise calculation of the average power per cycle and unit mass, providing a robust metric for evaluating the effectiveness of energy harvesting. Further, the study extends to the practical application in a combined system of passive and electromagnetic suspension, demonstrating the real-world viability of our theoretical findings. This research not only offers a comprehensive solution for enhancing vehicle efficiency through advanced suspension systems but also sets a precedent for the integration of complex mathematical techniques in solving real-world engineering challenges, contributing significantly to the future of energy-efficient automotive technologies. The cases reviewed in this article and listed as references are those commonly found in the literature.

Keywords: electromagnetic damping; Energy Harvesting Shock Absorbers (EHSAs); induced electromotive force; non-lineal magnetic flux; power; mathematical description (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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