Ingenuity of Shannon entropy-based fractional order hybrid swarming strategy to solve optimal power flows

An important issue for researchers looking into the effectiveness of power distribution systems is the Optimal Reactive-Power Dispatch (ORPD) problem, which aims to reduce real power line losses. Numerous techniques have been created with the express purpose of improving upon the optimization method's performance in tuning operational variables and exploring it through the estimation of results. Using entropy evolution (EE) and fractional calculus (FC) concepts, the research presents a novel method that is implemented in the hybrid meta-heuristic computational paradigm of Moth Flame Optimization (MFO) and Particle Swarm Optimization (PSO) algorithms for the ORPD problem. These techniques were incorporated into the MFO-PSO algorithm to enhance its memory effect, robustness, and stability. This was done to address the MFO-PSO vulnerability. ORPD problem using the IEEE-57 bus and IEEE-118 bus standards are used to test the novel Entropy design MFO and Fractional-order PSO algorithms as (EMFO-FPSO). The superiority of the proposed EMFO-FPSO algorithm has been demonstrated through a comparative analysis study with well-known optimizer solvers from the literature. •Proposed the application of entropy evolution (EE) and fractional calculus (FC) concepts in the hybrid meta-heuristic computational paradigm of Moth Flame Optimization (MFO) and Particle Swarm Optimization (PSO) for the ORPD problem.•The concepts of EE and FC were incorporated to enhance memory effect, robustness and stability of hybrid swarming strategy of MFO and PSO algorithms.•Evaluate the performance for IEEE 57 bus standards to endorse the effectiveness of the proposed scheme over state-of-the-art counterparts.•The worthy performance is further validated on statistical assessments in terms of the measure of central tendency and variation on real power line losses.