Computational Efficiency Assessment of Multi-Period AC Optimal Power Flow including Energy Storage Systems

In this paper, firstly, a formulation for Multi-Period AC Optimal Power Flow is developed to incorporate intertemporal constraints and, specifically, equations representing energy storage systems. Secondly, a solution method for the resulting optimisation model is proposed based on the primal-dual interior point method and the mathematical details underlying the solution approach are explicitly and extensively elaborated. The developed solver is tested on a simple 3 bus system. Finally, the computationally efficiency is compared with similar GAMS- and MATLAB-based non-linear commercial solvers. The main contributions of our proposed method can be summarised as follows: a) Shorter computational time is observed in the test due to the merit of using analytical differentiation in the solution method rather than numerical, which is typically used by commercial solvers. b) The formulation and solution method provides the basis of an open-box flexible solver that can be extended to include other components of power systems.