  This two-part paper develops a non-iterative coordinated optimal dispatch
framework, i.e., free of iterative information exchange, via the innovation of
the equivalent projection (EP) theory. The EP eliminates internal variables
from technical and economic operation constraints of the subsystem and obtains
an equivalent model with reduced scale, which is the key to the non-iterative
coordinated optimization. In Part II of this paper, a novel projection
algorithm with the explicit error guarantee measured by the Hausdorff distance
is proposed, which characterizes the EP model by the convex hull of its
vertices. This algorithm is proven to yield a conservative approximation within
the prespecified error tolerance and can obtain the exact EP model if the error
tolerance is set to zero, which provides flexibility to balance the computation
accuracy and effort. Applications of the EP-based coordinated dispatch are
demonstrated based on the multi-area coordination and transmission-distribution
coordination. Case studies with a wide range of system scales verify the
superiority of the proposed projection algorithm in terms of computational
efficiency and scalability, and validate the effectiveness of the EP-based
coordinated dispatch in comparison with the joint optimization.
