Abstract
The paper represents the mathematical model for diagnostics of supercapacitors. The research objectives are the problem of determining a supercapacitor technical condition during its operation. The general reliability of diagnostics is described as the methodological and instrumental reliabilities of diagnostics. The instrumental diagnostic reliability of supercapacitor includes the probabilities of errors of the first and second kind, α and β respectively. The methodological approach to increasing the reliability of supercapacitor diagnostic has been proposed, in terms of multi-parameter supercapacitor diagnostic by applying nonlinear, frequency dependent mathematical models of supercapacitors that take into account nonlinearity, frequency dispersion of parameters and the effect of transient processes in supercapacitors. The more frequencies, operating voltages and currents are applied in the supercapacitor diagnostics, the more methodological reliability of diagnostics will increase in relation to the methodological reliability of supercapacitor diagnostics when only one frequency, voltage and current are applied.
Highlights
Supercapacitors are polar electrochemical devices that are capable of storing and releasing electrical energy by internal redistribution of electrolyte ions
The methodological approach to increasing the reliability of supercapacitor diagnostic has been proposed, in terms of multiparameter supercapacitor diagnostic by applying nonlinear, frequency dependent mathematical models of supercapacitors that take into account nonlinearity, frequency dispersion of parameters and the effect of transient processes in supercapacitors
The more frequencies, operating voltages and currents are applied in the supercapacitor diagnostics, the more methodological reliability of diagnostics will increase in relation to the methodological reliability of supercapacitor diagnostics when only one frequency, voltage and current are applied
Summary
Supercapacitors are polar electrochemical devices that are capable of storing and releasing electrical energy by internal redistribution of electrolyte ions. According to their electrical parameters, supercapacitors occupy an intermediate position between electrolytic capacitors of high capacitance and batteries, but according to the principle of operation differ from both of them [1, 2]. Supercapacitors are applied in parallel with chemical elements, batteries and accumulators for smoothing the peak values of load current, which greatly increases operation lifetime and improves the characteristics of electrochemical power sources. The best samples of modern supercapacitors are characterized by capacities in thousands of Farads, high operating currents (hundreds and thousands of amperes), and low values of active resistance (several milliohms and hundreds of microhms)
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