The calculation of Hubbard parameters using hp.x is based on 
density-functional perturbation theory (DFPT):
I. Timrov, N. Marzari and M. Cococcioni, 
"Hubbard parameters from density-functional perturbation theory", 
Phys. Rev. B 98, 085127 (2018); arXiv:1805.01805

The DFPT approach (as the linear-response cDFT approach) has a limitation: 
it is applicable only to open-shell systems. For more details see 
K. Yu and E.A. Carter, J. Chem. Phys. 140, 121105 (2014).

Self-consistent calculation of Hubbard parameters can be performed using DFPT 
with the same strategy as explained in H. Hsu et al., Phys. Rev. B 79, 125124 (2009).

Example of the application of the HP code:
C. Ricca, I. Timrov, M. Cococcioni, N. Marzari, and U. Aschauer,
"Self-consistent site-dependent DFT+U study of stoichiometric and defective SrMnO3",
accepted to Phys. Rev. B (2019); arXiv:1811.10858

Tutorial on how to use hp.x:
https://agenda.ethernet.edu.et/event/33/
Check "Day2_DFT+U.tar"