An analytical approximation of the transient response of a voltage dependent supercapacitor model
Supercapacitors are well known for their voltage dependent capacity. Due to this, it is not possible to obtain the exact analytical solution of the nonlinear differential equation which describes the transient charging and discharging. For this reason, approximations of differential equations must b...
| Permalink: | http://skupni.nsk.hr/Record/nsk.NSK01001059479/Details |
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| Matična publikacija: |
Engineering review (Online) 39 (2019), 3 ; str. 310-319 |
| Glavni autori: | Barić, Tomislav, inženjer elektrotehnike (Author), Glavaš, Hrvoje, elektrotehničar, Kljajić, Ružica, inženjerka računalstva |
| Vrsta građe: | e-članak |
| Jezik: | eng |
| Predmet: | |
| Online pristup: |
https://doi.org/10.30765/er.39.3.12 Hrčak |
| LEADER | 02696naa a22003734i 4500 | ||
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| 001 | NSK01001059479 | ||
| 003 | HR-ZaNSK | ||
| 005 | 20220311163130.0 | ||
| 006 | m d | ||
| 007 | cr|||||||||||| | ||
| 008 | 200325s2019 ci a |o |0|| ||eng | ||
| 024 | 7 | |2 doi |a 10.30765/er.39.3.12 | |
| 035 | |a (HR-ZaNSK)001059479 | ||
| 040 | |a HR-ZaNSK |b hrv |c HR-ZaNSK |e ppiak | ||
| 041 | 0 | |a eng |b eng | |
| 042 | |a croatica | ||
| 044 | |a ci |c hr | ||
| 080 | 1 | |a 621.3 |2 2011 | |
| 080 | 1 | |a 51 |2 2011 | |
| 100 | 1 | |a Barić, Tomislav, |c inženjer elektrotehnike |4 aut | |
| 245 | 1 | 3 | |a An analytical approximation of the transient response of a voltage dependent supercapacitor model |h [Elektronička građa] / |c Tomislav Barić, Hrvoje Glavaš, Ružica Kljajić. |
| 300 | |b Ilustr. | ||
| 504 | |a Bibliografija: 20 jed. | ||
| 504 | |a Abstract. | ||
| 520 | |a Supercapacitors are well known for their voltage dependent capacity. Due to this, it is not possible to obtain the exact analytical solution of the nonlinear differential equation which describes the transient charging and discharging. For this reason, approximations of differential equations must be carried out in order to obtain an approximate analytical solution. The focus of this paper is on a different approach. Instead of approximating the differential equation and obtaining analytical expressions for such approximations, an intuitive approach is chosen. This approach is based on the separation of the initial response from the rest of the transient phenomenon. Both parts of the transient phenomenon are described with adequate functions. Using appropriate weight functions, both functions are combined into a single function that describes the whole transient phenomenon. As shown in the paper, such an approach gives an excellent description of the whole transient. Also, it provides simpler expressions compared to those obtained by approximation of the nonlinear differential equation. With respect to their accuracy, these expressions do not lag behind the aforementioned approach. The validity of the presented analytical expressions was confirmed by comparing their results with those obtained by numerically solving the nonlinear differential equation. | ||
| 653 | 0 | |a Superkondenzator |a Kapacitet |a Napon |a Diferencijalna jednadžba | |
| 700 | 1 | |a Glavaš, Hrvoje, |c elektrotehničar |4 aut | |
| 700 | 1 | |a Kljajić, Ružica, |c inženjerka računalstva |4 aut | |
| 773 | 0 | |t Engineering review (Online) |x 1849-0433 |g 39 (2019), 3 ; str. 310-319 |w nsk.(HR-ZaNSK)000848891 | |
| 981 | |b Be2019 |b B02/19 | ||
| 998 | |b tino2004 | ||
| 856 | 4 | 0 | |u https://doi.org/10.30765/er.39.3.12 |
| 856 | 4 | 0 | |u https://hrcak.srce.hr/221126 |y Hrčak |
| 856 | 4 | 1 | |y Digitalna.nsk.hr |