Sufficient Conditions for the Exact Relaxation of Complementarity Constraints for Storages in Multi-period ACOPF

Storage-concerned Alternative Current Optimal Power Flow (ACOPF) with complementarity constraints is highly non-convex and intractable. In this paper, we propose two more generalized sufficient conditions which guarantee no simultaneous charging and discharging (SCD) in the relaxed multi-period ACOPF excluding the complementarity constraints. Moreover, we prove that the regions on the locational marginal prices (LMPs) formed by the proposed two conditions both contain the other existing representative ones. We also generalize the application premise of sufficient conditions from the positive electricity price requirements to the negative electricity price scenarios. The case studies verify the exactness and advantages of the proposed method.

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