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Improved Sufficient Conditions for Exact Convex Relaxation of Storage-Concerned ED

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arxiv 1603.07875 v1 pith:ADOQ3Z6W submitted 2016-03-25 math.OC

classification math.OC
keywords conditionsstorage-concernedcomplementarityconstraintsconvexexactrelaxationsufficient
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To avoid simultaneous charging and discharging of storages, complementarity constraints are introduced to storage-concerned economic dispatch (ED), which makes the problem non-convex. This letter concerns the conditions under which the convex relaxation of storage-concerned ED with complementarity constraints is exact. Two new sufficient conditions are proposed, proved and verified to significantly reduce the conservatism of recent results [3], [4].

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  1. Linear and Second-order-cone Valid Inequalities for Problems with Storage

    math.OC 2025-06 conditional novelty 7.0 of 10

    The paper proves families of linear and SOC valid inequalities for battery storage feasible sets, generalizing prior single-period facets and nearly eliminating complementarity violations in set-point tracking.

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