Analytical Description of the Dynamic Behaviour of the Passive Battery Supercapacitor Hybrid System

Abstract

This paper presents a passive hybrid battery and supercapacitor system (HBSS). The load is modelled as a current sink. The waveform of the load current consists of rectangular pulses. The paper gives a mathematical model that accurately describes the HBSS behaviour during transient and steady state. In this paper, the approach using two introduced auxiliary parameters is applied in the analysis of the HBSS behaviour during transient and steady state. The introduced auxiliary parameters are functionally related to HBSS circuit parameters. All relevant expressions for voltages and currents are expressed through the introduced parameters.The influence of the electric circuit parameters on the voltages at HBSS terminals, battery and supercapacitor currents has been analysed in detail. The aim of the paper is to provide analytical expressions that establish the relations between the circuit parameters and their impact on voltages at HBSS terminals, battery and supercapacitor currents, as well as those analytical expressions that describe the HBSS behaviour during the transients. The expressions are presented in the form which allows a fast and easy application in the design and analysis of the presented HBSS.

Keywords

• battery
• hybrid battery supercapacitor system
• supercapacitor
• steady state
• transients