Modeling of an EDLC with Fractional Transfer Functions Using Mittag-Leffler Equations

المؤلفون المشاركون

Quintana, J. J.
Ramos, A.
Nuez, I.

المصدر

Mathematical Problems in Engineering

العدد

المجلد 2013، العدد 2013 (31 ديسمبر/كانون الأول 2013)، ص ص. 1-7، 7ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2013-12-03

دولة النشر

مصر

عدد الصفحات

7

التخصصات الرئيسية

هندسة مدنية

الملخص EN

Electrochemical double-layer capacitors (EDLC), also known as supercapacitors or ultracapacitors, are devices in which diffusion phenomena play an important role.

For this reason, their modeling using integer-order differential equations does not yield satisfactory results.

The higher the temporal intervals are, the more problems and errors there will be when using integer-order differential equations.

In this paper, a simple model of a real capacitor formed by an ideal capacitor and two parasitic resistors, one in series and the second in parallel, is used.

The proposed model is based on the ideal capacitor, adding a fractional behavior to its capacity.

The transfer function obtained is simple but contains elements in fractional derivatives, which makes its resolution in the time domain difficult.

The temporal response has been obtained through the Mittag-Leffler equations being adapted to any EDLC input signal.

Different charge and discharge signals have been tested on the EDLC allowing modeling of this device in the charge, rest, and discharge stages.

The obtained parameters are few but identify with high precision the charge, rest, and discharge processes in these devices.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Quintana, J. J.& Ramos, A.& Nuez, I.. 2013. Modeling of an EDLC with Fractional Transfer Functions Using Mittag-Leffler Equations. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1010795

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Quintana, J. J.…[et al.]. Modeling of an EDLC with Fractional Transfer Functions Using Mittag-Leffler Equations. Mathematical Problems in Engineering No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1010795

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Quintana, J. J.& Ramos, A.& Nuez, I.. Modeling of an EDLC with Fractional Transfer Functions Using Mittag-Leffler Equations. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1010795

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1010795