The interest around Fractional Calculus has significantly grown in the last thirty years, at first by the mathematical point of view and later with respect to several technical application. In circuit theory, Fractances are components with particular properties: the most important one is a fractional order characteristic relation between voltage and current. In the last years, the studies related to fractances significantly increasing, however these components are rarely taught even in the advanced circuit theory courses. The main reasons are the advanced mathematical knowledge required to deal with them and the difficulty to implement in practice. With these work we would like to face the second problem, implementing a remote laboratory enabling the students to practice with fractances. The laboratory would consist of a signal generator, an oscilloscope and several circuits including fractances, to study the effect of these components in different conditions. Different implementations of the fractances are proposed, to analyze the main differences.

Work in progress: Experimental set-up for the analysis of circuits with fractional order components

Assante D
2017-01-01

Abstract

The interest around Fractional Calculus has significantly grown in the last thirty years, at first by the mathematical point of view and later with respect to several technical application. In circuit theory, Fractances are components with particular properties: the most important one is a fractional order characteristic relation between voltage and current. In the last years, the studies related to fractances significantly increasing, however these components are rarely taught even in the advanced circuit theory courses. The main reasons are the advanced mathematical knowledge required to deal with them and the difficulty to implement in practice. With these work we would like to face the second problem, implementing a remote laboratory enabling the students to practice with fractances. The laboratory would consist of a signal generator, an oscilloscope and several circuits including fractances, to study the effect of these components in different conditions. Different implementations of the fractances are proposed, to analyze the main differences.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14086/1597
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