Hybrid Power/Energy Generation System Design Through Multistage Design Optimization Problem With Complementarity Constraints

The optimal design of hybrid power generation systems (HPGS) can significantly improve the economical and technical performance of power supply. However, the discrete-time simulation with logical disjunctions involved in HPGS design usually leads to a nonsmooth optimization model, to which well established techniques for smooth nonlinear optimization could not be directly applied. This paper proposes a multistage design optimization problem with complementarity constraints approach for HPGS design, which introduces a complementarity formulation of the nonsmooth logical disjunction, as well as a multistage decomposition framework, to ensure a fast local solution. A numerical study of a stand-alone hybrid photovoltaic (PV)/wind power generation system is presented to demonstrate the effectiveness of the proposed approach.