Dynamic stability analysis Using Percent Error of High-Order Lagrange method

A No-Lineal Model with robust precision for transient stability analysis in Multimachine Power Systems is proposed. The proposed formulation uses the interpolation of Lagrange and Newton´s Divided Difference. The High-Order Interpolation technique developed can be used for evaluation of the critical conditions of the dynamic system. The High-Order procedure shows the ability to identify the Percent Error of Critical Stability Parameter. Numerical examples illustrate the method and demonstrate the ability of the High-Order technique to isolate and extract temporal modal behavior. The technique is applied in the 2-area 4-machine model of the IEEE.