  This paper focuses on the analytical target cascading (ATC) based scenario
decomposition method which applies to the stochastic OPF problem of
distribution networks with high photovoltaic penetration. The original
two-stage stochastic OPF model is decomposed into a master problem in the upper
level and multiple subproblems in the lower level. This decomposition makes
subproblems easier to be solved and can also effectively overcome the curse of
dimensionality in the traditional scenario-based model. The global optimal
solution can be obtained by only transferring some necessary coupling
information between the upper and lower levels. Moreover, all the subproblems
in the lower level can be solved in a parallel manner which improves the
computational efficiency, in particular, for cases with a larger number of
scenarios. Case studies on the IEEE 33-bus system and various larger systems
verify the effectiveness and adaptability of the proposed algorithm.
