Lightning impulse parameters estimation using fractional model order reduction

In this work, the lightning impulse parameter estimation is formulated as a fractional model order reduction problem. In this method the received impulse is viewed as an impulse response of an unknown fractional order system. Unlike that of the existing techniques the estimation of the signal parameters is carried out for an unknown number of modes in which all signal modes are compressed using a proposed frequency domain template. This eliminates the necessity of identifying all signal parameters that usually needs computationally demanding matrix analysis. For this purpose, a fitness function is provided such that its minima are the parameters of the impulse by which the mean curve and the impairments are reconstructed accurately. Simulation results have shown accurate representation for the underlying impulse for oscillatory and front overshoot signal models.