Recursive reduced-order and decoupling algorithm for solving transient stability constraints optimal power flow

Based the recursive properties of discrete differential-algebraic equation (DAE) by the implicit trapezoidal rule, recursive reduced-order and decoupling algorithm is proposed for solving a transient stability constraints optimal power flow (TSCOPF). Recursive reduced-order decoupling algorithm can decouple and reduce the order of correction equation of TSCOPF within the interior point method, and transform the scale of the problem into general size of OPF without DAE constraints. Proposed algorithm can balance the calculation of the original model; improve the speed of solution in dozens of times. Furthermore, it is suitable to be applied in parallel and distributed computing environment very well due to the decoupling structure. Several typical test cases with transient stability optimal power flow show the effectiveness of the proposed model and algorithm.