“…To demonstrate the potential impact of the FNN Hammerstein (FNNH) model, its performance is compared with that of the transformer electro-mechanical (TEM) model [4]. The electro-mechanical model, resulting in an noninvasive method and without need of prior measurements under abnormal operation conditions [3,7,8], has been widely used for vibration based transformer monitoring and diagnosis, table 4 shows the MSE between the actual and estimated system outputs by the FNNH model and TEM model at 100 Hz. The significantly reduced MSE for the FNNH model is due to its accurate estimation of amplitude and phase of the vibration signature.…”