Enhancing power system stability using a TCSC-PIDF controller with innovative multiobjective function and hybrid optimisation logic.

This study aims to establish a thyristor-controlled series compensator (TCSC) equipped with a proportional integral derivative with filter (PIDF) controller by using a futuristic optimisation technique called evolutionary programming sine cosine algorithm (EPSCA) with multiobjective function (MOF). EPSCA is developed by merging evolutionary programming and the sine cosine algorithm. Three stability indicators, i.e. damping ratio (DR), damping factor (DF) and the greatest imaginary component of the system eigenvalues at a certain ratio, are combined to form the MOF. EPSCA is designed to optimise TCSC-PIDF controller variables to reap a peerless solution with a futuristic MOF as an objective function (OF). All simulations are performed using a linearised dynamical system of the TCSC-single machine infinite bus system. In addition, the TCSC-PIDF controller using EPSCA based on MOF is compared with other indicators, such as DR and DF, as the OF. The MOF-EPSCA-derived PIDF damping controller manifests substantial ameliorations in settling times and overshoot in comparison with DR-EPSCA, DF-EPSCA, and PIDF-U. The suggested method of optimisation, which combines a futuristic multiobjective function and damping controller model, validates the robustness of the damping controller's design for the power system.