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This paper focuses on the AC Optimal Power Flow (OPF) problem for multi-phasesystems. Particular emphasis is given to systems with high integration ofrenewables, where adjustments of the real and reactive output powers fromrenewable sources of energy are necessary in order to enforce voltageregulation. The AC OPF problem is known to be nonconvex (and, in fact,NP-hard). Convex relaxation techniques have been recently explored to solve theOPF task with reduced computational burden; however, sufficient conditions fortightness of these relaxations are only available for restricted classes ofsystem topologies and problem setups. Identifying feasible power-flow solutionsremains hard in more general problem formulations, especially in unbalancedmulti-phase systems with renewables. To identify feasible and optimal AC OPFsolutions in challenging scenarios where existing methods may fail, this paperleverages the Feasible Point Pursuit - Successive Convex Approximationalgorithm -- a powerful approach for general nonconvex quadraticallyconstrained quadratic programs. The merits of the approach are illustratedusing single- and multi-phase distribution networks with renewables, as well asseveral transmission systems.

Beyond Relaxation and Newton-Raphson: Solving AC OPF for Multi-phase Systems with Renewables