Position Dependence of Fractional Derivative Models for Loudspeaker Voice Coils with Lossy Inductance

Alexander Weider King, Finn T. Agerkvist

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review


    Commonly used models of moving-coil loudspeaker voice coils, which include effects from eddy current losses, are either inaccurate or contain an abundance of parameters, and are difficult to extend to the nonlinear domain. On the contrary, fractional derivative models accurately describe the frequency and position dependence of the lossy inductance, with meaningful connections to the underlying physics, while keeping the number of parameters low. These fractional derivatives are also compatible with state-space polynomial methods of modeling nonlinear behavior. It is shown that the fractional order derivative approaches a value of 1, corresponding to an ideal inductance, when the voice coil is completely outside the magnetic system. Finally, the developed model reveals details about the effect of conductive voice coil formers
    Original languageEnglish
    Title of host publicationProceedings of the 142nd Audio Engineering Convention Convention
    Number of pages10
    PublisherAudio Engineering Society
    Publication date2017
    Article number9723
    Publication statusPublished - 2017
    Event142nd Audio Engineering Society Convention - Berlin, Germany
    Duration: 20 May 201723 May 2017
    Conference number: 142


    Conference142nd Audio Engineering Society Convention
    Internet address


    Dive into the research topics of 'Position Dependence of Fractional Derivative Models for Loudspeaker Voice Coils with Lossy Inductance'. Together they form a unique fingerprint.

    Cite this