Vectorial power flow calculation based on nonlinear programming

For settle the divergence problem of ill-condition system, traditional power flow calculation in polar coordinates can be transformed into a nonlinear programming model. It is a convenient way to judge whether the general power flow equations have feasible solutions or not according to the value of target function. Getting the correction equations by Newton method, LDL^T decomposition method is used to solve it. And 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 simplifying structure and can be implement or program easily with a novel vectorization expression. The adaptability and maintainability are also improved in this mode. Numerical simulations on test systems ranging in size from 118 to 1047 buses validate the correctness of the proposed model and method.