Lagrange relaxation — Invasive weed optimization for profit based unit commitment

In this paper, Lagrangian Relaxation (LR) — Invasive Weed Optimization (IWO) has been proposed to solve Profit Based Unit Commitment (PBUC). Lagrangian Relaxation (LR) is applied for Unit commitment and IWO is used to update the Lagrangian multipliers based on the duality gap. In order to prove the applicability of the proposed approach, it has been tested on 3- and 10- units systems. The simulation results of the proposed method are presented in case studies and compared with existing methods available in the literature. Comparison of the results shows that the proposed method provides better solution with less computational time.