A new global optimization method named triangle gyration algorithm (TGA) is proposed. It embodies the characteristics of simple structure

good robustness and fast convergence. The individual of algorithm in every generation is guided by the best objective function value and transformed by the trigonometric function

which ensure the whole progress could converge at the global optimal points soon. Compare to other usual optimization methods with a typical numerical example and short-term scheduling of cascade hydro plants

TGA manifests the best performance and has wide application prospect.