Symbiosis Equilibrium Stable Range Analysis of Multi-owner Cascade Hydro Plants

摘要

It is a huge dynamic dimensional optimization question for the optimal operation of multi-owner cascade hydro plants constrained by water use competition and market strategies cooperation. The symmetry mutualism behavior patterns between multi-owner hydro plants are described accurately based on symbiosis theory. Then the mathematical model of the cascade symbiosis alliance in symmetry mutualisms pattern is built and the equilibrium solutions are presented. We discuss the symbiosis equilibrium stability range of multi-owner cascade hydro plants. Finally, simulation results obtained demonstrate that the proposed stable range is proficient and the symbiosis evolution law is revealed.