  Since distribution system operator (DSO) cannot directly control prosumers
with controllable resources,this paper proposes an optimal dispatch method of
using three-phase distribution locational marginal prices (DLMPs) as effective
economic signals to incentivize prosumers' behaviors. In the proposed
three-phase DLMP model, DLMPs for both active power and reactive power are
calculated. To alleviate the imbalance, congestions and voltage violations in
active distribution networks (ADNs),the DSO and prosumers should be
coordinated. We develop such a coordinated control scheme for the DSO and
prosumers,in which the DSO generates and broadcasts three-phase DLMPs as price
signals to induce prosumers' behaviors. We prove that given the DLMPs for
active power and reactive power as settlement prices, the optimal dispatch of
the ADN will also maximize the surplus of prosumers. Therefore, the power
output of rational prosumers will match the optimal dispatch,resulting in
better operational conditions of ADNs. Then the three-phase
imbalance,congestions and voltage violations will be well reduced. Numerical
tests demonstrate the effectiveness of the proposed approach.
