In this article, the problem of voltage and frequency stability in a hybrid multi-area power system including renewable energy sources (RES) and electric vehicles has been investigated. Fractional order systems have been used to design innovative controllers for both load frequency control (LFC) and automatic voltage regulator (AVR) based on the combination of fractional order proportional-integral and proportional-integral-derivative plus double derivative (FOPI–PIDD²). Here, the dandelion optimizer (DO) algorithm is used to optimize the proposed FOPI–PIDD² controller to stabilize the voltage and frequency of the system. Finally, the results of simulations performed on MATLAB/Simulink show fast, stable, and robust performance based on sensitivity analysis, as well as the superiority of the proposed optimal control strategy in damping frequency fluctuations and active power, exchanged between areas when faced with step changes in load, the changes in the generation rate of units, and the uncertainties caused by the wide changes of dynamic values.

This work addresses the important issue of frequency stability in shipboard microgrids (SMGs), which are confronted with difficulties because of the alternating power insertion from green sources and low system inertia. In order to sustain a consistent frequency (despite system uncertainties), a study and precisely calibrated regulator is necessary. Therefore, this article proposed a new combined three degree of freedom proportional integral derivative (3DOF-PID) and tilted-integral (TI) regulators for achieving enhanced system performance, robustness, and enhance the frequency performance of a power grid. The superior performance of the suggested 3DOF-PID-TI has been assured by comparing it with three distinct controller architectures (FOPID, PDPID2 and 2DOF-PID) for the multi-energy SMG system. The investigation also took into account the temporal delays brought on by the communication links between the sensor and the regulator. The triangulation topology aggregation optimizer (TTAO), a relatively new meta-heuristic technique that hasn’t been employed to load frequency control (LFC) issues until recently, was employed to adjust the controllers’ parameters. The TTAO’s frequency performance outcomes were thoroughly contrasted to those of other optimization algorithms (i.e., Chimp, Whale, and Gradient-Based Optimization Algorithms) so as to evaluate the optimization efficacy of the suggested optimizer. The findings showed that the proposed 3DOF-PID-TI controller, whose parameters has been tuned by TTAO, outperformed its competitors in terms of overshoot (15.87mHz), undershoot (-29.04mHz), settling time (2.49sec) and performance index (i.e., ITAE(0.0171)). Additionally, the suggested controller’s robustness was assessed in a range of SMG operating situations as ex. (Random Multi-Step Variation in Load, Real Data on Stochastic Power Fluctuations, Energy Storage System Impact on the system and sensitivity analysis). The acquired data amply proved that when crucial system parameters experience a substantial variation, the controller’s gains set under normal circumstances do not need to be re-tuned.

This paper proposes a new combined controller, the proportional integral derivative-second derivative with a proportional derivative (PIDD²-PD), to improve the frequency response of a multi-area interconnected power system with multiple generating units linked to it. The optimum gains of the presented controller are well-tuned using a wild horse optimizer (WHO), a modern metaheuristic optimization approach. The main study is a two-area-linked power system with varied conventional and renewable generating units. The physical constraints of the speed turbines and governors are considered. The WHO optimization algorithm is proven to outperform various other optimization approaches, such as the whale optimization algorithms (WOA) and chimp optimization algorithms (ChOA). The efficacy of the proposed WHO-based PIDD²-PD controller is evaluated by comparing its performance to other controllers in the literature (cascaded proportional integral derivative-tilted integral derivative (PID-TID), integral derivative-tilted (ID-T) controller). Multiple and varied scenarios are applied in this work to test the proposed controller’s sturdiness to various load perturbations (step, random, and multi-step), renewable energy source penetration, and system parameter variations. The results are provided as time-domain simulations run using MATLAB/SIMULINK. The simulation results reveal that the suggested controller outperforms other structural controllers in the dynamic response of the system in terms of settling time, maximum overshoot, and undershoot values, with an improvement percentage of 70%, 73%, and 67%, respectively.