Modified third‐order sliding mode control with adaptive gains for a multiphase PMSG wind turbine under double‐phase open fault

Wind energy production systems (WEPS) are increasingly vital in the transition to renewable energy sources, with permanent magnetic synchronous generators (PMSG) being widely adopted due to their high efficiency and reliability. Developing robust control methods is essential to ensure that WEPS operate efficiently even under adverse conditions. This study focuses on optimizing control strategies for WEPS utilizing a 5‐phase PMSG and addresses challenges posed by double‐phase open fault (DPOF) scenarios. Unlike conventional second‐order sliding mode control (SOSMC) based on the super‐twisting algorithm (STA), the proposed method enhances performance by elevating the sliding surface time derivative degree to a third order and modifying the discontinuous term of STA with an arctangent function, promising to reduce chattering effects. Additionally, an adaptation law adjusts the improved STA gains, forming adaptive‐gain third‐order sliding mode control (AG‐TOSMC), which outperforms SOSMC under various disturbances such as wind speed fluctuations, parameter changes, and DPOF scenarios. The AG‐TOSMC enhances the quality of active and reactive power by reducing fluctuation ratios compared with the SOSMC. The efficiency of WEPS increases to 98.5% with AG‐TOSMC, surpassing the 93.5% achieved with SOSMC. Additionally, a DPOF test confirms the aptitude of the 5‐phase PMSG to work under degraded circumstances, supplying appropriate electrical power to the network without significant adverse effects. Numerical simulations validate the efficiency of the suggested WEPS and its control, demonstrating superior performance achieved with AG‐TOSMC.