  Exact Second Order Conic Programming (SOCP) formulation of AC Optimal Power
Flow (ACOPF) consists of non-convex arctangent constraints. Generally, these
constraints have been ignored or approximated (at the expense of increased
computational time) so as to solve the relaxed and convex SOCP formulation of
ACOPF. As a consequence, retrieving unique and feasible bus voltage phasors for
ACOPF of meshed networks is not always possible. In this letter, this issue has
been addressed. The arctangent constraints have been represented by alternate
linear constraints in the relaxed SOCP formulation of ACOPF, by exploiting the
properties of the meshed power network. Numerical tests show that the proposed
formulation gives an unique and feasible ACOPF solution, which is practically
realizable from system operation perspective and with global optimality
feature, as compared to other works reported in the literature. Moreover, the
proposed formulation is extremely efficient as only one execution of
formulation provides a feasible solution.
