Hybrid dual-area power grid frequency fluctuation effective control utilizing a maiden combination of MOA-based 1 + PIID and PD ^μ F ^λ controllers

Current power networks face considerable issues due to a continuous decrease in inertia and increased sensitivity to load/generation fluctuations. The main cause of these problems is the enhanced penetration capabilities of renewable energy sources. An unbalanced load with high power output greatly affects the frequency behavior of electrical grids. Several load-frequency control mechanisms are commonly employed to tackle these problems. Accordingly, the purpose of this work is to present a novel optimal load frequency control methodology for dual-area-linked power systems that contain a variety of conventional (i.e. thermal generator) and renewable (i.e. solar photovoltaic plant) power sources. A revolutionary hybrid regulator, the one plus proportional integral double-integral derivative with a proportional fractional derivative with fractional filter (1 + PIID-PD^μF^λ), has been designed. Its goal is to lessen frequency drifts brought on by any known load disturbance. The optimal gains of the 1 + PIID-PD^μF^λ controller are finely adjusted using the mother optimization algorithm, an up-to-date population-based metaheuristic optimization technique that simulates the procedure of birthing and growth. The mother optimization algorithm has demonstrated its superior performance compared to other brand-new optimization methods, including tuna swarm optimization and sea horse optimization. The effectiveness of the proposed mother optimization algorithm-based 1 + PIID-PD^μF^λ regulator is assessed by comparing its performance with other cascaded regulators in existing literature, such as TIDF-PID^μD, FOPI-PIDA, and PID-TID, which stand for tilt integral derivative with filter-proportional integral derivative fractional derivative with filter, proportional integral-proportional integral derivative acceleration, and proportional integral derivative-tilted integral derivative, respectively. Various scenarios involving fluctuations in load (step, multi-step, and random), solar radiation changes, and system parameter modifications are used to demonstrate the controller's effectiveness in handling disturbances. The simulation results, presented using MATLAB/SIMULINK, show that the proposed controller outperforms other existing controllers in terms of its dynamic response to system disturbances, namely it achieved a substantial reduction in frequency overshoot (94.66%, 48.49%, 68.75%), undershoot (94.66%, 26.75%, 67.25%), and settling time (78.57%, 90.81%, 75.0%) as measured by the frequency deviation in Area 1, respectively. Similar improvements were observed in frequency deviation in Area 2 and deviation in power exchange between system areas.