Power Flow Calculation Based on Non-linear Programming Model and Vectorization Mode

Converting power flow calculation of power system into the solution searching of a non-linear programming model. The divergence problem of ill-condition system calculation is settled. It is also a convenient way to judge whether the general power flow calculation has feasible solutions or not. Get the correction equations by Newton method, LDL^T decomposition method will be used to solve it. The coefficient matrix of correct equation is reordered by using AMD reordering algorithm, thus the fill-in elements in LDL^T decomposition is reduced significantly, which improves the calculating speed considerably. Proposed module and algorithm possess significant simplifying structure and can be implement or program easily with a novel vectorization expression. The adaptability and maintainability are improved greatly, too. Numerical simulations on test systems ranging in size from 118 to 1047 buses validate the correctness of the proposed model and method.