A multilevel stochastic and optimization approach of clean energy plants chain operation

摘要

In Egypt, the demand of electric energy increases rapidly to satisfy the demand to implement the projects required for the economic development specially that in New Valley and Toshka. For the near future, we presented in previous published paper, a design of eight hydropower plants on El Shiehk Zayed Canal to generat neccessary electric energy. Therefore, it is naturally to try to maximize the electric power generated from these eight stations along the Canal basin, while satisfying the constraints imposed on the system in order to fulfill water requirements. Moreover, due to the randomness of the various problem variables it can also be seen that the problem modeling should incorporate stochastic terms. Thus, the problem is rendered difficult to solve and requires new tools for solution. The problem is transformed into an approximate deterministic one using chance constraint approach. Two different techniques are applied. Global technique and Multilevel approach. The two level technique is so easy to apply. The result show that the two techniques yield almost the same answer yet they differ in their Computational burdens (cpu and memory). The hierarchical approach requires 62% of the memory needed in the global approach. The execution time is about 28% of global technique.