  In recent years, with the increase in renewable energy and storage
penetration, power flow studies in low-voltage networks have become of interest
in both industry and academia. Many studies use impedance represented by
sequence components due to the lack of datasets with fully parameterized
impedance matrices. This assumes that the network impedance is balanced, which
is typically not the case in the low voltage network and therefore risks the
accuracy of the study. This paper proposes a methodology for the recovery of
more detailed impedance data from sequence components as an inverse problem,
i.e. the inverse Carson's equations problem, for both overhead lines and
cables. We consider discrete properties like material and configuration of
conductors common in the distribution network and investigate what data can be
reliably recovered from only sequence components using nonlinear optimisation
models. Presented results include uniqueness of recovered variables and the
likelihood of mismatch.
