Ultracapacitor modelling and control using discrete fractional order state-space model

Acta Montanistica Slovaca

Volumn 13, Issue 1, 2008, Pages 136-145

  Dzielinski, Andrzej ^a   Sierociuk, Dominik ^a  

^a WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Discrete fractional order; State space model; Ultracapacitor modelling

Indexed keywords

EID: 46249115223     PISSN: 13351788     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (22)

1. Abbey, C., Joos, G.: Supercapacitor energy storage for wind energy applications, IEEE Transactions on Industry Applications 43 (3), 769-776, 2007.
2. Belhachemi, F., Rael, S., Davat, B.: A physical based model of power electric double-layer supercapacitors, in 'Proceedings of Industry Applications Conference, 2000. Conference Record of the 2000 IEEE', Vol. 5, pp. 3069-3076.
3. Buller, S., Karden, E., Kok, D., Doncker, R. D.: Modeling the dynamic behaviour of supercapacitors using impedance spectroscopy, IEEE Transactions on Industry Applications, 38 (6), 1622-1626, 2002.
4. Burke, A.: Review of ultracapacitor technologies for vehicle applications, AABC (2), 2001. http://www.nesscap.coni/data nesscap/Prof%20Burke-AABC%202001.PDF.
5. Dzielinski, A., Sierociuk, D.: Adaptive feedback control of fractional order discrete state-space systems, in 'Proceedings of International Conference on Computational Intelligence for Modelling Control and Automation', CIMCA '2005, Vienna, Austria, 28-30 November, pp. 804-809.
6. Dzielinski, A., Sierociuk, D.: Observer for discrete fractional order state-space systems, in 'Proceedings of 2nd IFAC Workshop on Fractional Differentiation and its Applications, IFAC FDA'06', Porto, Portugal, 19-21 July, pp. 524-529, 2006a.
7. Dzielinski, A., Sierociuk, D.: Stability of discrete fractional state-space systems, in 'Proceedings of 2nd IFAC Workshop on Fractional Differentiation and its Applications, IFAC FDA'06', Porto, Portugal, 19-21 July 2006b, pp. 518-523.
8. Endo, M., Takeda, T., Kim, Y., Koshiba, K., Ishii, K.: High power electric double layer capacitors (edlc's); from operating principle to pore size control in advanced activated carbons, Carbon Science 1(3&4), 117-128,2001.
9. Jifeng, W., Yuankai, L.: Frequency domain analysis and applications for fractional-order control systems, Journal of Physics: Conference Series 13, 268-273, 2005.
10. Jun, S.: A note on fractional differences based on a linear combination between forward and backward differences, Computers and Mathematics with Applications 41, 373-378, 2001.
11. Oldham, K. B., Spanier, J.: The Fractional Calculus, Academic Press, New York, 1974.
12. Ostalczyk, P.: The non-integer difference of the discrete-time function and its application to the control system synthesis, International Journal of Systems Science 31(12), 1551-1561, 2000.
13. Ostalczyk, P.: Fractional-Order Backward Difference Equivalent Forms Part I - Horners Form, in 'Proceedings of 1st IFACWorkshop on Fractional Differentiation and its Applications', FDA '04, ENSEIRB, Bordeaux, France 2004a.
14. Ostalczyk, P.: Fractional-Order Backward Difference Equivalent Forms Part II - Polynomial Form, in 'Proceedings of 1st IFAC Workshop on Fractional Differentiation and its Applications', FDA '04, ENSEIRB, Bordeaux, France 2004b.
15. Podlubny, I.: Fractional Differential Equations, Academic Press, San Diego 1999.
16. Quintana, J. J., Ramos, A., Nuez, I.: Identification of the fractional impedance of ultracapacitors, in 'Proceedings of the 2nd IFAC Workshop on Fractional Differentiation and its Applications', IFAC FDA '06, Porto, Portugal, 19-21 July 2006.
17. Rufer, A., Barrade, P.: A supercapacitor-based energy-storage system for elevators with soft commutated interface, IEEE Transactions on Industry Applications 38(5), 1151 - 1159, 2002.
18. Sierociuk, D., Dzielinski, A.: Fractional Kaiman Filter algorithm for states, parameters and order of fractional system estimation, International Journal of Applied Mathematics and Computer Science 16(1), 101-112, 2006.
19. Westerlund, S., Ekstam, L.: Capacitor theory, IEEE Transactions on Dielectrics and Electrical Insulation 1, 1994.
20. Wight, G.: On-road and dynamometer testing of a capacitor-equipped electric vehicle, EVS19 (10), 2002, http://www.nesscap.com/datanesscap/ EVS19SuperCapPaperEvermont.pdf.
21. Wodecki, G., Koczara, W.: Active compensator of dc load power variability, in 'Proceedings of International Conference on POWER ELECTRONICS AND INTELLIGENT, 2004.
22. Zorpette. G.: Super charged. IEEE Spectrum, 42(l):32-37, 2005.