Analysis of the parallel resonance circuit with supercapacitor

• Autorzy: Walczak J. , Jakubowska A.
• Konferencja: Computer Applications in Electrical Engineering 2014 (28-29.04.2014; Poznań, Polska)
• Języki publikacji: EN

Abstrakty

EN

The article presents an analysis of phase resonance conditions for the parallel RLC_α circuit with supercapacitor. Supercapacitors behaviour somehow differs from classic dielectric capacitors, therefore it is necessary to develop their new mathematical models, using fractional - order differential equations. A simple fractional - order supercapacitor model has been assumed, taking into account its internal equivalent series resistance ESR too. A lossless inductance has also been assumed and relations for equivalent admittance and resonance occurence conditions have been derived in the considered parallel RLC_α circuit with supercapacitor. The analysis was conducted for different fractional-order parameter α values. Derived relations have been illustrated by simulation examples. The existence of resonance frequency depends largely on the supercapacitor series resistance value.

Słowa kluczowe

EN

phase and magnitude resonance; parallel RLCα circuit; supercapacitor

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Poznan University of Technology Academic Journals. Electrical Engineering
• Rocznik: 2014
• Tom: No. 77
• Strony: 93--99
• Opis fizyczny: Bibliogr. 8 poz., rys.

Twórcy

autor

Walczak J.

• Silesian University of Technology

autor

Jakubowska A.

• Silesian University of Technology

Bibliografia

• [1] Martin R.: Modeling electrochemical double layer capacitor, from classical to fractional impedance, The 14th Medditeranean Electrotechnical Conf., Ajaccio, 4 - 7 May 2008, pp. 61 - 66.
• [2] Rafik F., Gualous H., Gallay Y.: Frequency, thermal and voltage supercapacitor characterisation and modelling, Journal of Power Sources, Vol. 165, March 2007, pp. 928 - 934.
• [3] Freeborn T.J., Maundy B., Elwakil A.S.: Measurement of supercapacitor fractional- order model parameters from voltage excited step response, IEEE Journal on Emerging and Selected Topics in Circuits and Systems, Vol. 3, No. 3, Sept. 2013, pp. 367 - 376.
• [4] Radwan A.G., Salama K.W.: Passive and active elements using fractional LβCα circuit, IEEE Trans. on CAS, Part I, Vol. 58, No. 10, 2011, pp. 2388 – 2397.
• [5] Walczak J., Jakubowska A.: Analysis of the resonance phenomena in series RLC circuit with supercapacitor, Measurement Automation and Control, vol.10, 2013, pp. 1105 - 1108 (in Polish).
• [6] Walczak J., Jakubowska A.: Analysis of resonance phenomena in simple RLC circuits with supercapacitor, Lecture Notes in Electrical Engineering, Springer (w druku).
• [7] Walczak J., Jakubowska A.: Phase resonance in series RLβ Cα circuit, CPEE - AMTEE 2013, Roztoky k. Krivoklatu, 4-6 September, 2013 , Czech Republic , part III - 4.
• [8] Strona internetowa: http://www.maxwell.com/products/ultracapacitors/docs/PC10 z dnia 29.11.2013.