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This paper explores different strategies to set the reference current of a STATCOM under unbalanced grid voltage conditions. The aim of the proposed control strategies is to provide a set of reactive current references to be injected by the STATCOM under unbalanced grid faults. Their performance, as well as their grid support capability will be evaluated by means of simulations. Finally, the experimental response will be tested in a low-scale setup, in order to verify and validate their dynamic performance and steady state response.