Feasibility restoration algorithm for solving model predictive long-term voltage stability control

The receding optimization model of long-term voltage stability control is established under framework of model predictive control, the Radau collocation method is used to convert this dynamic optimization model into a large-scale nonlinear programming problem directly, and then this nonlinear programming problem is solved using the feasibility restoration algorithm. The basic idea of this approach is that, when the line search filter method encounters convergent difficulty during solution of the this nonlinear programming problem, the optimization process will be switched to feasibility restoration of original nonlinear programming problem, and try to find a new iteration point so that the optimization computation can continue from this point. The numerical results on IEEE 50-machine 145-bus system demonstrate that the proposed algorithm has fast speed and strong stability in solving difficult optimization problem.