Adaptive energy based finite time control of a grid connected battery energy storage system using a quadratic boost inverter

This paper develops an adaptive, energy-based finite-time control strategy for a battery energy storage system (BESS) that connects to the grid through a high-gain quadratic boost inverter (QBI). A detailed averaged nonlinear model of the QBI is derived in the synchronously rotating reference frame, capturing the coupling between dc-link energy dynamics and grid-side currents. To cope with uncertainties and time-varying power injection from the battery, the dc-link voltage is regulated by an adaptive outer-loop controller formulated via energy shaping, which includes an online estimator for the net dc-side power. For current control on the ac side, a super-twisting sliding-mode regulator is designed to track active and reactive current references in finite time while maintaining continuous control signals. Lyapunov-based analysis establishes finite-time convergence of the current tracking errors and asymptotic stability of the dc-link voltage. The proposed scheme accommodates seamless transitions between unity power factor operation and reactive power support without sacrificing dc-link stability. Simulation studies and comparative evaluation against PI and ISMC controllers demonstrate improved disturbance rejection, faster transient response and enhanced current quality under dc-side uncertainty. Moreover, clear decoupling of active and reactive power flows and robust dc-link voltage regulation confirms effectiveness of the control approach for grid-connected battery energy storage applications using QBI converters.