On efficient computation of time constrained optimal power flow in rectangular form

In this paper, an entire formulation of a multiperiod optimal power flow is presented. The standard timeindependent AC Optimal Power Flow (AC-OPF) includes voltage, line capacity and generator limits for each time step. Additionally, time-dependent constraints like generator rampings, stored energy or energy contracts are crucial for time constrained optimization. A comparison of methods for modeling the latter and its computation efficiency is shown. Rectangular coordinates are used to minimize the computation time of the Hessian. The composition and computation of Jacobian and Hessian is described in detail. There is no conditional software or toolboxes necessary than MATLAB, as it uses a compact open source interior-point-method for solving the nonlinear optimization problem. The functionality is shown with a modified IEEE14 test case.