Mathematics in Industry Reports (MIIR) 1 Understanding the Fundamentals of Motor Current Signature Analysis M.D. Shirley 1 , A.R. Champneys 2 †, N. Marrin 2 , M.R. Moore 1 , B.M.A.G Piette 3 , and A.D. Shaw 4 1 University of Oxford, Oxford, UK 2 University of Bristol, Bristol, UK 3 University of Durham, Durham, UK 4 Swansea University, Swansea, UK (Communicated to MIIR on 28 January 2022) Study Group: ESGI 162. Leeds (virtual), UK, 20 - 24 July 2020 Communicated by: J.A. Ward Industrial Partner: Faraday Predictive ltd Presenter: Geoff Walker, Andy Bates Team Members: A. Bates, Faraday Predictive; A.R. Champneys, Univ. Bristol; J.M.C. Cor- reia, Univ. ´ Evora; Y. Farah, Univ. Birmingham; G. Gajjar, IIT Bombay; M.J. Hunt, Univ. Warwick; A.A. Lacey, Heriot-Watt Univ.; N. Marrin, Univ. Bristol; K. Mora, Paderborn Univ.; M.R. Moore, Univ. Oxford H. Ockendon, Univ. Oxford; J.R. Ockendon, Univ. Oxford; D. Patel, Maharaja Sayajirao Univ; B.M.A.G Piette, Univ. Durham; James Roscoe, Univ. Liverpool; A.D. Shaw, Swansea Univ.; M.D. Shirley, Univ. Oxford; G. Walker, Faraday Predictive Industrial Sector: Electronics Tools: ODEs, Classical mechanics, Asymptotics, Numerical methods Key Words: Induction motor, Residual current MSC2020 Codes: 70,94,78 † Corresponding Author: A.R.Champneys@bristol.ac.uk