Super-twisting hysteresis controller for multi-rotor wind energy systems

In this study, the hysteresis controller (HCs) of the direct power control (DPC) is proposed based on super-twisting HCs (STHCs). The effectiveness of the proposed STHCs is analysed and compared with the HCs in terms of the reducing power ripples, steady-state error (SSE), track references, and total harmonic distortion (THD) of current of the doubly-fed induction generator (DFIG) based multi-rotor wind turbine (MRWT) system. Simulation is performed using Matlab to validate the performance of the DPC-STHC of a DFIG-MRWT and the obtained numerical and graphical results were compared with DPC-HCs in case of different tests. Also, the comparison between the two controls was made in terms of the THD of current, power ripples, SSE, and overshoot. The numerical results demonstrate the high performance of the DPC-STHC compared to the DPC-HCs, as the DPC-STHC improves the active power ripples by ratios estimated at 28.76% and 30.48% in both tests. The DPC-STHC reduced the SSE value of reactive power by ratios estimated at 76.55% and 24.62% in both tests. Also, improves the THD value of the current by 6.66% and 11.01% in both tests. The results show the efficiency and satisfactory performance of the DPC-STHC in all tests performed on DFIG compared to the DPC.