Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Comparison and validation of integer and fractional order ultracapacitor models | Dzielinski et al. Advances in Difference Equations 2011 2011 11 http content 2011 1 11 o Advances in Difference Equations a SpringerOpen Journal RESEARCH Open Access Comparison and validation of integer and fractional order ultracapacitor models Andrzej Dzielinski Grzegorz Sarwas and Dominik Sierociuk Correspondence adziel@. Institute of Control and Industrial Electronics Warsaw University of Technology Koszykowa 75 00-662 Warsaw Poland SpringerOpen0 Abstract In this article the modeling of the ultracapacitor using different models of capacity part is shown. Two fractional order models are compared with the integer model of traditional capacitor. The identification was made using the diagram matching technique. Next the derivation of time domain response of the ultracapacitor and system with the ultracapacitor are presented. The results of frequency domain identification were used to validate the response of the ultracapacitor in time domain. All theoretical results are compared with the response of the physical system with the ultracapacitor. Keywords fractional calculus fractional order dynamic systems ultracapacitors modeling Introduction Ultracapacitors aka supercapacitors are electrical devices which are used to store energy and offer high power density that is not possible to achieve with traditional capacitors. Nowadays ultracapacitors have many industrial applications and are used wherever a high current in a short time is needed. Thanks to a very complicated internal structure they are able to store or yield a lot of energy in a short period of time. Many researchers started building a more or less complicated model to explain the capability of ultracapacitors. Numerous articles have presented the RC model . 1-5 which is particularly accurate for low frequencies. Some authors describe ultracapacitors by the RC transmission line 4-6 . Also the dynamic behavior of ultracapacitors has been modeled using .
