I. Introduction
Monitoring the rotor angle stability and early recognition of the potentially dangerous conditions is very crucial for reliable operation of power systems. Various techniques have been traditionally used to assess the rotor angle stability. Time domain simulations (TDS) rely on solving nonlinear differential algebraic equations (DAE) that model power systems [1]. But they are computationally intensive and require accurate system data. Transient-energy-function (TEF) methods [2], compare the potential and kinetic energy of the system against a reference value. However, there are difficulties in estimating these energies in practical scenarios due to unavailability of some state variable measurements [2], [3]. Equal area criteria (EAC) and extended equal area criterion assess the transient stability based on a single machine connected to infinite bus (SMIB) model approximations [4], [5]. But they allow only the classical generator models. The SIME (SIngle Machine Equivalent) Method [6], is a hybrid approach which combines the advantages of TDS and EEAC and allows use of detailed models. This method is computationally more efficient than TDS but at the cost of reduced accuracy.