Sufficient Conditions for Exact Relaxation of Complementarity Constraints for Storage-Concerned Economic Dispatch

Storage-concerned economic dispatch (ED) problems with complementarity constraints are strongly non-convex and hard to solve. In this letter, an exact relaxation method is proposed to relax the non-convex ED to a convex form under two sufficient conditions, which can be further generalized for other problems of similar structures. A mathematical proof is provided, and the numerical tests verify the effect of this method.