Abstract: Abstract： In order to reduce the operating cost of microgrid and solve the problem that the traditional Harris Eagle algorithm is easy to fall into local optimum， a new Harris Eagle algorithm based on refractive imaging inverse learning strategy and hybrid butterfly algorithm was proposed， and the improved algorithm was simulated through 11 test functions. Then， the improved Harris Eagle algorithm is used to solve the problem of island optimal scheduling of microgrids， and the simulation results show that the improved Harris Eagle algorithm can reduce the operating cost of microgrids.

Key words: Key words： microgrid, Harris hawks optimization, butterfly algorithm, reverse learning of refraction imaging, optimized scheduling