Using Fractional-order Technique and Non-linear Surface to Improve the Performance of the Backstepping Control of Multi-rotor Wind Power Systems

Abstract

In this study, an effective solution is given to overcome the drawbacks of backstepping command (BC) for a doubly-fed induction generator based on multi-rotor wind power system, where both fractional calculus and non-linear surface were used for this purpose. This suggested approach differs from the classical BC method and demonstrates strong efficacy, displaying resilience against both external and internal factors of the system. This command was suggested to command the machine-side inverter to increase power quality and reduce steady-state error (SSE). Therefore, the characteristics of this suggested BC were verified compared with the conventional BC method using MATLAB in different operating situations. This proposed strategy demonstrates a distinctive performance in improving system characteristics, as evidenced by the reduction rates compared to the BC technique. Active power undulations were minimized by 47.36% in the first test and 41.74% in the second test compared to BC. Also, The SSE value of reactive power was minimized by approximately 41.66% and 45.83% in both tests compared to the BC strategy. Moreover, the value of harmonic distortion improved significantly compared to the BC, with high ratios estimated at 68.57% and 55.30% in the same testes. These ratios indicate that the current quality is high when the suggested command is used. This indicates that in the future, this control method is poised to become one of the leading solutions trusted in the field of control.