HSA, IHS, and BBO algorithms are compared in this work for handling restricted economic load dispatch issues in a power system with a limited number of available resources. New solution vectors are generated using the IHS algorithm, which makes use of numerous harmony memory consideration rates and dynamic pitch adjustment rates. They were tested in a test system with twenty producing units with ramp rate restrictions and valve point loading constraints, and the algorithms worked well. IHS approach outperforms both Harmony search and Biogeography-based optimization algorithm in terms of total fuel cost and convergence characteristics, as shown by the simulation results.