Liu, Jui-JungJui-JungLiuLee, Ya-WeiYa-WeiLeeWang, Fu-ChengFu-ChengWangUppala, RameshRameshUppalaChen, Ping-HeiPing-HeiChen2008-11-052018-06-282008-11-052018-06-28200602533839http://ntur.lib.ntu.edu.tw//handle/246246/86015http://ntur.lib.ntu.edu.tw/bitstream/246246/86015/1/10.pdfhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-33746910574&doi=10.1080%2f02533839.2006.9671164&partnerID=40&md5=749b3f319e4b8c2c2f75297e7c0ea9a5This study employed the approach of non-linear autoregressive moving average model with exogenous inputs (NARMAX) to analyze the dynamics of a Permanent Magnet Synchronous Motor (PMSM). The non-linearity in PMSM including cogging force, reluctance force and force ripple is difficult to estimate. By using the NARMAX approach, thrust-speed relationship and thrust-position relationship could be analyzed by identifying both time and frequency domain models of the system. The frequency domain analysis is studied by mapping the discrete-time NARMAX models into generalized frequency response functions (GFRFs) to reveal the non-linear coupling between the various input spectral components and the energy transfer mechanisms in the system. From the results, the interpretation of the higher-order GFRFs has been comprehensively studied and non-linear effects have been related to the physical models of the systems. © 2006, Taylor & Francis Group, LLC.application/pdf1294528 bytesapplication/pdfen-USFrequency response functions; Identification; Non-linear systemEnergy transfer; Frequency domain analysis; Frequency response; Identification (control systems); Mathematical models; Nonlinear systems; Permanent magnets; Time domain analysis; Frequency response functions; Identification; non-linear system; NARMAX; Permanent Magnet Synchronous Motor (PMSM); Servomotorsjournal article10.1080/02533839.2006.96711642-s2.0-33746910574http://ntur.lib.ntu.edu.tw/bitstream/246246/86015/1/10.pdf