Robust Controller Design for Energy Router in Energy Internet via Mixed <tex>$\mathrm{H}_{2}/\mathrm{H}\infty$</tex> Control Technique

Abstract

This paper proposes a new robust controller design of an energy router (ER) system for frequency regulation within an energy Internet (EI) scenario. The studied ER is assumed to be connected with photovoltaic (PV) units, wind turbine generators (WTGs), electrolyzers (ESs), micro-turbines (MTs), fuel cells (FCs), plug in hybrid electric vehicles (PHEVs), loads and one more ER. The intermittent power generation from PV units and the random power consumption by PHEVs causes severe frequency oscillation in the considered ER. To alleviate frequency deviation, a proportional integral (PI) controller inside the ER device is designed. For the considered ER system, the inverse output multiplicative perturbation is considered when formulating the $\pmb{H}_{\infty}$ performance, whereas both minimizing the tracking error and avoiding the situation of over-control are formulated as the $H_{2}$ performance. Then, our ER control issue is transformed into a mixed $\pmb{H}_{2}/\pmb{H}_{\infty}$ control problem which is solved by the particle swarm optimization (PSO) algorithm. Finally, numerical simulations illustrating the feasibility of the proposed methods are provided.