A Solution map for extended economic load dispatch problem by secretary bird algorithm

Abstract

The paper introduces three applied methods - Secretary Bird Optimization Algorithm (SBOA), Par- ticle Swarm Optimization (PSO), and Tunicate Swarm Algorithm (TSA) - to address economic load dispatch problem (ELD) and the extended ELD problem with renewable energy resources (RES_ELD). These meth- ods were rigorously evaluated using various test systems with complex restrictions and objective functions. The test cases were ranged from simple to complex, with the most challenging involving load demands ranging from the minimum to the maximum load demand based on the total power of all units. The study’s results indi- cated that SBOA consistently outperformed PSO and TSA across all test systems, offering the best cost so- lutions in a shorter time. Also, SBOA demonstrates comparable or superior results as well as improved searchability compared to previous methods. Further- more, comparing these results highlighted SBOA’s ef- fectiveness in solving these problems and its potential for addressing engineering problems beyond ELD. Fi- nally, the study aimed to provide valuable insights for operators by suggesting solution map that operators can use it to make quick decisions to ensure safe and effi- cient system operation when generating capacity from power plants quickly meets load demand