Application of the optimization algorithm based on the cauchy distribution for the management of active and reactive power with batteries in power distribution systemsy (aplicación del algoritmo de optimización basado en la distribución de cauchy para la gestión de potencia activa y reactiva con baterías en sistemas de distribución de energía)

Abstract

Context: This study develops an energy dispatch model (EDM) using the Cauchy-based Distribution Optimizer (CbDO) for coordinating BESUs and DERs in medium-voltage distribution networks, aiming to minimize energy losses and operational costs while adhering to network constraints. Method: The CbDO, leveraging Cauchy distribution properties, was implemented in MATLAB and benchmarked against CGA, PPSO, PVSA metaheuristics, and an SDP approach. Scenarios included unitary and variable power factor operations to test optimization performance. Results: CbDO outperformed traditional methods, achieving lower energy losses and CO2 emissions, closely matching SDP results in variable power factor scenarios. The most significant gains were seen when all DERs operated flexibly, validating CbDO’s effectiveness in complex, non-convex problems Conclusions: CbDO is a viable, efficient solution for EDM, providing near-SDP performance with simpler implementation. BESUs integration and flexible power factor operation notably enhance grid efficiency. .