Lagrange Theory-Based Optimization Strategy to Minimizing Power Loss of an Electric Power Grid: Theoretical and Experimental Study

This study introduces a novel, straightforward, and highly efficient control algorithm aimed at mitigating the reactive power compensation challenge to enhance the power quality of a distribution network. The network under scrutiny is characterized by the presence of high-capacity three-phase induction motors as primary loads. The proposed solution for reactive power compensation employs the NEMA curve to assess power losses across individual motors and throughout the entire network. Subsequently, a Lagrange function is formulated, and Lagrange's theory is applied to ascertain the extremal values of this function, facilitating the computation of the optimal reactive power compensation capacity. The efficacy of the proposed algorithm is theoretically substantiated through simulation results obtained for a typical power system featuring three high-capacity induction motors utilizing the MATLAB software package. Additionally, experimental outcomes acquired from a real-world test case corroborate the substantial efficacy and commercialization potential of this innovative contribution.