Dynamic optimal power flow by interior point methods

An algorithm based on nonlinear interior point methods is developed for the dynamic optimal power flow (DOPF) problem in which both time-separated and time-related constraints are considered and solved as a single optimisation problem. A border blocked system is derived and further decomposed into time-separated submatrices whose sizes merely rely on network sizes and the 4 x 4 block structure is the same as the nodal admittance matrices. Thus, the supersparsity technique of the Newton OFF can be fully utilised. A three-stage solution procedure is proposed to implement the proposed algorithm. The numerical examples of the systems with sizes from 30 to 118 busbars with up to 24-hour period are employed to demonstrate the efficiency and robustness of the proposed method.