Continuation via quadratic approximation to reconstruct solution branches and locate singularities in the power flow problem

Application of the analytic continuation, based on the quadratic approximation, is able to reconstruct solution branches of a non-linear power flow problem, as well as to locate important singularities. The paper describes the quadratic approximation method, and compares its performance with the Pade-type approximation. Simulation examples are devised to demonstrate superiority of the proposed method compared to results of the Pade approximant, for this type of non-linear problem.