To　address　the　issue　that　traditional　droop　control　cannot　realize　reactive　power,　imbalance　power　and　harmonic　power　sharing　for　an　islanded　microgrid,　this　paper　proposes　a　novel　load　power　sharing　scheme　based　on　hierarchical　control　structure.　The　hierarchical　control　consists　of　two　levels:　1)　the　primary　control,　located　at　each　distributed　generation　unit　local　controller,　is　composed　of　droop　control　and　virtual　impedance　control;　2)　the　secondary　level,　located　at　microgrid　central　controller,　estimates　each　feeder　impedance　and　generates　a　virtual　impedance　command　signal　for　primary　control　to　eliminate　the　power　sharing　error.　The　proposed　method　has　two　distinguished　features:　1)　the　reactive　power,　imbalance　power　and　harmonic　power　can　be　equally　shared　since　the　equivalent　impedance　of　each　DG　is　compensated　to　a　common　value;　2)　feeder　impedance　can　be　precisely　estimated　through　a　non-intrusive　method,　which　can　also　be　used　to　solve　other　issues　in　microgrid　caused　by　feeder　impedance　mismatch.　Simulation　results　are　provided　to　validate　the　proposed　method.　©　2018　IEEJ　Industry　Application　Society.