The rapid progression of High Voltage Direct Current (HVDC) systems employing grid commutation converters in China has led to a sophisticated AC/DC hybrid grid. Faults in the AC grid can readily initiate commutation failures (CF) in the DC system, significantly jeopardizing the stability and security of the hybrid grid. The voltage dependent current order limiter (VDCOL), a crucial element of the HVDC control framework, can effectively reduce the incidence of subsequent commutation failures. Nonetheless, its fault response sensitivity is limited, and its efficacy in preventing the first commutation failure (FCF) is weak. To bolster the capability of VDCOL in suppressing the first commutation failure, it is imperative to investigate the underlying mechanisms of commutation failures and the functional principles of VDCOL. Additionally, considering the influence of asymmetric faults and the response speed of controller, this study introduces an enhanced VDCOL control strategy founded on fault detection, which can dynamically adjust the DC current command according to different fault scenarios. The proposed control method is validated using the CIGRE standard test model through PSCAD/EMTDC simulations. The results illustrate that the improved strategy significantly mitigates the risk of the first commutation failure, thereby enhancing the fault response sensitivity of the control mechanism, contributing to the secure and stable operation of the AC/DC hybrid grid.