Moment-generating function

Statistics

Entropy (arrow of time)

Image (mathematics)

Quantile

Physics

Mathematical optimization

Optimization problem

Minification

Probability distribution

Artificial intelligence

Mathematics

Computer science

Quantile function

Histogram

Quantum mechanics

Particle swarm optimization

IEEE Access

Optimal reactive power dispatch (ORPD) problems in power system have been solved by using several variants of traditional nature inspired particle swam optimization (PSO) with aim to achieve a promising solution for a given objective such as line loss, voltage deviation and overall cost minimization. Several schemes have been designed to improve the performance of the optimization technique in tunning the operational variables and analyzed by evaluating the final results. In this article, a different method is designed to solve ORPD problems, by introducing Shannon entropy based diversity in the fractional order PSO dynamics, i.e., FOPSO-EE. The results show that synergy of both, the Shannon entropy and the fractional calculus can be used as the useful tools for enhancing the optimization strength of algorithm while solving the ORPD problems in standard IEEE 30 and 57 bus power systems. The performance of the design FOPSO-EE is further validated through results of statistical interpretations in terms of histogram analysis, box plot illustration, quantile-quantile probability plot and empirical probability distribution function.

Design of Fractional Swarm Intelligent Computing With Entropy Evolution for Optimal Power Flow Problems