Dedicated to the memory of Alexander Alexandrovich Tomasov On the Optimization of Energy Extraction from a Supercapacitor under an Impulse Load
Agafonov D. V.
1, Kuznetsova A R.
1, Kompan M. E.
2, Malyshkin V. G.
21Saint-Petersburg State Institute of Technology (Technical University), St. Petersburg, Russia
2Ioffe Institute, St. Petersburg, Russia
Email: phti@lti-gti.ru, arinaspbgti@yandex.ru, kompan@mail.ioffe.ru, malyshki@ton.ioffe.ru
The problem of energy extraction from a supercapacitor (within the given duration tau) under an impulse load has been considered. It has been shown that for each tau there exists an optimal load value at which the maximum energy will be released. In a simple model of a single RC- element the problem can be solved analytically. For more complex models of supercapacitors (such as self-similar ladder RC- networks, tree-like RC- networks, etc.), numerical simulations have been conducted. The simulations have shown that the sharpness of the maximum decreases with increasing tau and with the degree of distributiveness of RC- network. A computer program has been developed to model impulse loads directly in the time domain for any equivalent supercapacitor circuit. This allows to consider nonlinear systems and avoid the need for complex conversion of impedance Z(ω) into the time domain. The developed approach (together with the simulation program) can be directly applied to solving practical problems related to the impulse operation mode of supercapacitors. Keywords: supercapacitor modeling, Impedance Spectroscopy, IEC 62391, inverse relaxation, binary tree model, impulse load.
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