A Note on Branch Flow Models with Line Shunts
When the shunt elements in the Π circuit line model are assumed zero, it has been proved that branch flow models are equivalent to bus injection models and that the second-order cone relaxation of optimal power flow problems on a radial network is exact under certain conditions. In this note we propose a branch flow model that includes nonzero line shunts and prove that the equivalence and the exactness of relaxation continue to hold under essentially the same conditions as for zero shunt elements.
© 2020 IEEE. Manuscript received April 10, 2020; revised August 23, 2020; accepted September 25, 2020. Date of publication October 8, 2020; date of current version January 6, 2021. This work was supported by NSF under Grants CCF 1637598, ECCS 1619352, ECCS 1931662, and CPS ECCS 1739355. Paper no. PESL-00102-2020.