Fractional Modeling on Moving-coil Loudspeaker Linear System

The fractional order derivatives have been used in modeling the lossy inductance as well as the creep effect for moving-coil loudspeakers. Based on the fractional lossy inductance model and the fractional standard linear solid model, this work presented a fractional equivalent electrical circuit (FEEC) for modeling the linear behaviors of moving-coil loudspeakers. The fractional transfer function between the displacement and the input voltage was approximated by the modified Oustaloup filter method, and then the displacements of the FEEC in time domain were numerical calculated. Comparisons between the measured data and the predicted ones illustrate that, the FEEC presented by this paper can do a good job in modeling the linear behaviors of loudspeakers and hand accurate transfer functions in frequency domain as well as the output displacements in time domain.