  Different from most transactive control studies only focusing on economic
aspect, this paper develops a novel network-constrained transactive control
(NTC) framework that can address both economic and secure issues for a
multi-microgrids-based distribution network considering uncertainties. In
particular, we innovatively integrate a transactive energy market with the
novel power-electronics device (i.e., soft open point) based AC power flow
regulation technique to improve economic benefits for individual microgrids and
meanwhile ensure the security of the entire distribution network. In this
framework, a dynamic two-timescale NTC model consisting of slow-timescale
pre-scheduling and real-time scheduling stages is formulated to work against
multiple system uncertainties. Moreover, the original bilevel game problems are
transformed into single-level mixed-integer second-order cone programming
problems through KKT conditions, duality, linearization and relaxation
techniques to avoid iterations of transitional methods, so as to improve
computational efficiency. Finally, numerical simulations on a modified 33-bus
test system with 3 MGs verify the effectiveness of the proposed framework.
