Novel hVsaGwo algorithm for non-linear dynamic weighted state feedback with 1DOF-PID based controllers in AVR

Automatic voltage regulator (AVR) is one of the most important issues for electric power systems because it keeps to constant the terminal voltage of synchronous generators (SGs). Designing a proper control scheme and selection meta-heuristic method for tuning of controller very vital for research area. In this study, a new non-linear AVR scheme having amplifier feedback with dynamic weighted approach (AFDW) with 1DOF controllers is proposed. Thus the real AVR systems have constraints, IEEE recommendations for DC1C excitation model are considered. Additionally, a novel meta-heuristic technique called hybrid vortex search algorithm-grey wolf optimizer (hVsaGwo) is developed and applied to proposed scheme in order to improve non-linear AVR performances. The superiority of hVsaGwo is demonstrated in comparison with various meta-heuristic techniques for thirteen well-known benchmark functions and proven by the Wilcoxon Sign Rank Test (WSRT). The step response analysis and continuous disturbance analysis for four different 1DOF PID based controllers are conducted to evaluate the effectiveness of the proposed method for non-linear AVR having AFDW. Also, robustness analysis is performed for ±50% variations of system parameters through the controller that gives better performances in these analyzes. The settling time and rising time are enhanced by more than 40% and 12.7% for step response and more than 37% and 36% for continuous disturbance respectively with FOPIDFDF controller and proposed hVsaGwo. The obtained results confirmed through comparison with other meta-heuristic methods that hVsaGwo improves the non-linear AVR having AFDW system performances for 1DOF PID based controller.