Economic Load Dispatch problem with ramp rate limits and prohibited operating zones solve using Levy flight Moth-Flame optimizer

A novel bio-inspired optimization algorithm based on the navigation strategy of Moths in universe called the Moth-Flame optimization (MFO) Algorithm, is exercised for Economic Load Dispatch problems. The navigating mechanism of moths in nature called transverse orientation, a very effective mechanism for traveling long distances in the straight direction. In fact, artificial lights trick moths, so they follow a deadly spiral path. MFO algorithm is integrated with levy flights to achieve the competitive results in case of both discrete and continuous control parameters. Levy flights or Levy distribution is a sophisticated randomization technique has a relevant role in both exploration and exploitation. Constrained optimization is a way of optimizing an objective function in presence of constraints on some control parameters. So Levy flights or Levy distribution is a sophisticated randomization technique is integrated with MFO and exercised on highly complex constrained economic load dispatch (ELD) problem with three different standard case study of 6 and 15 generating unit system without valve point effect including ramp rate limits (RRL) and prohibited operating zones (POZ) and 13-unit system with valve point effect loading. Integration of randomization Levy flights technique provides potential that Levy flights based MFO algorithm to attain optimal solution and faster convergence over standard MFO optimization algorithms.