A trust region augmented Lagrangian method for optimal power flows

It is a fundamental and important work to solve the optimal power flow problem in the electricity industry. For the purpose, a novel optimization algorithm, which combines the trust region method and augmented Lagrangian method, is proposed. The optimal power flow problems are converted into augmented Lagrangian problems. The trust region method solves the unconstrained optimization subproblems. Under the piecewise cost objection function, numerical results of five IEEE test systems ranging in size from 14 to 300 buses are presented. Comparisons with the nonlinear primal-dual interior point method are also provided to demonstrate that the algorithm is with strong convergence and robustness.