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.
Improved Sufficient Conditions for Exact Convex Relaxation of Storage-Concerned ED
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abstract
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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Linear and Second-order-cone Valid Inequalities for Problems with Storage
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.