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The ability of levitation-based harvesting systems to operate autonomously for long periods of time makes them well-suited for self-powering a broad range of technologies. In this paper, a combined theoretical and experimental study is presented of a harvester configuration that utilizes the motion of a levitated hard-magnetic element to generate electrical power. A semi-analytical, non-linear model is introduced that enables accurate and efficient analysis of energy transduction. The model predicts the transient and steady-state response of the harvester a function of its motion (amplitude and frequency) and load impedance. Very good agreement is obtained between simulation and experiment with energy errors lower than 14.15% (mean absolute percentage error of 6.02%) and cross-correlations higher than 86%. The model provides unique insight into fundamental mechanisms of energy transduction and enables the geometric optimization of harvesters prior to fabrication and the rational design of intelligent energy harvesters.<\/jats:p>","DOI":"10.1038\/srep18579","type":"journal-article","created":{"date-parts":[[2016,1,4]],"date-time":"2016-01-04T09:58:54Z","timestamp":1451901534000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":93,"title":["Magnetic levitation-based electromagnetic energy harvesting: a semi-analytical non-linear model for energy transduction"],"prefix":"10.1038","volume":"6","author":[{"given":"Marco P.","family":"Soares dos Santos","sequence":"first","affiliation":[]},{"given":"Jorge A. F.","family":"Ferreira","sequence":"additional","affiliation":[]},{"given":"Jos\u00e9 A. 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