Abstract
This paper focuses on the design of new optimal control algorithms for battery-supercapacitor hybrid energy storage system (HESS) with input saturation and time delay. Different from the existing research results, a new state feedback system to track the output DC bus voltage and battery current is developed via the state-space averaged model method. By fully considering the state delay information, a proper Lyapunov–Krasovskii functional (LKF) is constructed. In order to reduce the inherent conservation, Wirtinger-based integral inequality is firstly employed to establish novel stability criteria of battery-supercapacitor HESS. Meanwhile, for the sake of shortening the transition time and realizing the smooth transition of some key variables during the load switch, new optimal control algorithms with actuator saturation can be achieved in terms of linear matrix inequalities (LMIs). Finally, numerical results are presented to verify the effectiveness and superiority of the analysis results.
Highlights
In a high peak-to-average power system, combining batteries and supercapacitors can create a virtual source with high specific energy and high specific power
Motivated by the above discussions, this paper aims to design new optimal control algorithms for the stabilization of battery-supercapacitor hybrid energy storage system (HESS) with input saturation and time delay
An output of the system y = Cx is added based on the five-order model (2) and a perturbation model is proposed around the nominal conditions
Summary
In a high peak-to-average power system, combining batteries and supercapacitors can create a virtual source with high specific energy and high specific power. In the past few years, the batteries and supercapacitors hybrid energy storage systems have been widely used in various fields, such as in photovoltaic(PV) systems [1]–[3], electric vehicles [4], [5], wind systems [6], [7], microgrids/DC nanogrid [8], [9] and so on. A review of the most widely used HESS topologies are given: basic passive parallel, UC/battery configuration, battery/UC configuration, cascaded configuration, multiple converter configuration and multiple input converter configuration and a new HESS is proposed. [12] proposes a new semi-active HESS topology. Besides inheriting the advantages in other semi-active topologies, the proposed topology improves
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