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Time and frequency domain identification and analysis of a permanent magnet synchronous servo motor

Abstract This 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.