This paper explores the coordinated strategy named Power-Based Control to properly coordinate gridtied single-and three-phase distributed energy resources in three-phase three-wire microgrids. By means of a narrowband, low data rate communication, such strategy accommodates current-and voltage-controlled distributed inverters providing proportional sharing of active, reactive and unbalance (negative-sequence) power terms, also offering dispatchable power flow and high power quality at the microgrid's point of common coupling. Regarding the current unbalance compensation, a particular case considering two distributed single-phase inverters is discussed through mathematical analysis in terms of balanced and unbalanced power terms, and experimental results on which the Power-Based Control is applied to demonstrate that this strategy corroborates with Steinmetz principle. Finally, the complete strategy is evaluated in simulation considering the model of a real urban power distribution grid under typical operational conditions.