  With massive penetrations of active grid-edge technologies, distributed
computing and optimization paradigm has gained significant attention to solve
distribution-level optimal power flow (OPF) problems. However, the application
of generic distributed optimization techniques to OPF problems leads to a very
large number of macro-iterations or communication rounds among the distributed
computing agents delaying the decision-making process or resulting in
suboptimal solutions. Moreover, the existing distribution-level OPF problems
typically model inverter-interfaced distributed energy resources (DERs) as
grid-following inverters; grid-supporting and grid-forming functionalities have
not been explicitly considered. The added complexities introduced by different
inverter models require further attention to developing an appropriate model
for new types of inverter-based DERs and computationally-tractable OPF
algorithms. In this paper, we expand the distribution-level OPF model to
include a combination of the grid-forming, grid-supporting, grid-following
inverter-based DERs and also present the application of a domain-specific
problem decomposition and distributed algorithm for the topologically radial
power distribution systems to efficiently solve distribution-level OPF problem.
