Abstract
This work studies the fractional dynamics of an ultracapacitor which is used in a Buck-Boost power electronic converter as energy storage unit. Ultracapacitors are used in applications such as hybrid vehicles, UPS, power electronic converters connected to the grid, etc, because of their higher energy density. Nevertheless, they exhibit more complex dynamics than standard capacitors due to the diffusion phenomena, which causes a dynamic fractional behaviour in such capacitors. In this work, the fractional behaviour of the ultracapacitor used in the Buck-Boost converter has been identified by means of an experimental test. Then, the impact of the fractional dynamics of the ultracapacitor on the power electronic converter is analysed. Simulation results are provided in order to compare the ultracapacitor fractional behaviour with an equivalent standard capacitor in terms of voltage dynamics in the Buck-Boost converter.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Atcitty S (2006) Electrochemical capacitor characterization for electric utility applications. PhD thesis, Virginia Polytechnic Institute and State University
Bollen MHJ (2000) Understanding Power Quality Problems: Voltage Sags and Interruptions. IEEE Press, New York
Burton T, Sharpe D, Jenkins N, Bossanyi E (2001) Wind energy handbook. Wiley, Chichester
Dzielinski A, Sierociuk D (2008) Ultracapacitor modelling and control using discrete fractional order state-space model. Acta Montanistica Slovaca 13(1):136–145
Feliu V, Feliu S (1997) Method of obtaining the time domain response of an equivalent circuit model. J Electroanal Chem 435(1–2):1–10
Kötz R, Carlen M (2000) Principles and application of electrochemical capacitors. Electrochimica Acta 45:2483–2498
Mohan N, Undeland TM, Robbins WP (2003) Power electronics: converters, applications and design, 3rd edn. Wiley, New York
Petras I, Vinagre B, Dorcak V, Feliu V (2002) Fractional digital control of a heat solid: Experimental results. In: Proceedings of the International Carpathian Control Conference (ICCC-2002). Malenovice, Czech Republic
Podlubny L (1999) Fractional differential equations. Academic, San Diego, USA
Quintana J, Ramos A, Nuez I (2006) Identification of the fractional impedance of ultracapacitors. In: Proceedings of the 2nd IFAC, Workshop on fractional differentiation and its applications. Porto, Portugal
Sira-Ramírez H, Silva-Ortigoza R (2006) Control design techniques in power electronics devices, 1st edn. Springer, London
Valério D (2005) Ninteger v. 2.3 fractional control toolbox for matlab. http://web.ist.utl.pt/ duarte.valerio/ninteger/
Westerlund S, Ekstam L (1994) Capacitor theory. IEEE Trans Dielec Elec In 1(5):826–839
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer Science+Business Media B.V.
About this chapter
Cite this chapter
Parreño, A., Roncero-Sánchez, P., del Toro Garcı́a, X., Feliu, V., Castillo, F. (2010). Analysis of the Fractional Dynamics of an Ultracapacitor and Its Application to a Buck-Boost Converter. In: Baleanu, D., Guvenc, Z., Machado, J. (eds) New Trends in Nanotechnology and Fractional Calculus Applications. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3293-5_8
Download citation
DOI: https://doi.org/10.1007/978-90-481-3293-5_8
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-3292-8
Online ISBN: 978-90-481-3293-5
eBook Packages: EngineeringEngineering (R0)