  The multitudes of inverter-based distributed energy resources (DERs) can be
envisioned as distributed reactive power (var) devices (\textit{mini-SVCs})
that can offer var flexibility at TSO-DSO interface. To facilitate this vision,
a systematic methodology is proposed to derive an aggregated var capability
curve of a distribution system with DERs at the substation level, analogous to
a conventional bulk generator. Since such capability curve will be contingent
to the operating conditions and network constraints, an optimal power flow
(OPF) based approach is proposed that takes inverter headroom flexibility,
unbalanced nature of system and coupling with grid side voltage into account
along with changing operating conditions. Further, the influence of several
factors such as compliance to IEEE 1547 on the capability curve is thoroughly
investigated on an IEEE 37 bus and 123 bus distribution test system along with
unbalanced DER proliferation. Validation with nonlinear analysis is presented
along with demonstration of a scenario with T-D co-simulation.
