In recent decades, renewable energy has emerged as one of the most promising alternatives to traditional energy sources for long-term, uninterrupted power supply. Engineers face numerous challenges when replacing renewable energy with con ventional energy because the characteristics of solar and wind generation rapidly fluctuates with environmental conditions, resulting in large synchronizing imbal ances between different units with system delays or communication delays in large electrical grids. They want to leverage computation delay margin to build a control mechanism that can handle a wide range of time delays (MADB). The authors of this article concentrate on the effects of the fractional integral order (FOI) on the stable parameter space for the regulation of a hybrid renewable energy based dis tributed system (DGS) in three-area AGC configuration. By altering the fractional order range, the delay margin () can be expanded, which can help to expand the stability region of a time delayed system. The stable parameter spaces of the con troller are computed stability boundary based on the fractional integral order and time delay ( ) values, and the present authors have developed asymptotic bode plot of time delayed Fractional-order proportional integral (FOPI) controller and computing delay margin () using gain margin (GM) and phase margin (PM) for this purpose. Honey badger algorithm (HBA) has been devised for fine-tuning the above-mentioned controller parameters. The controller’s resilience is confirmed in the presence of random load perturbations, nonlinearities, and parameter fluctuation.