how to the stability of a system using simulink?

The stability of power systems has been and continues to be a major concern in the operation of the system. Modern electrical power systems have grown to great complexity due to increased interconnections, the installation of large generation units and high voltage connection lines, etc. Transient stability is the ability of the power system to maintain synchronism when subjected to a severe transient disturbance, such as failure in transmission facilities, sudden loss of generation or loss of a large load. The system response to such disturbances involves large excursions of generator rotor angles, power flows, bus voltages and other system variables. It is important that, while steady-state stability is only a function of operating conditions, transient stability is a function of both operating conditions and perturbations. 1 This greatly complicates the transient stability analysis. Repeated analyzes are required for different disturbances to be considered. In the studies of transient stability, the perturbations frequently considered are short circuits of different types. Of these, normally the three-phase short-circuit on the generator bus is the most severe type, as it causes the maximum acceleration of the connected machine.2 Historically, the simulation of transient phenomena related to power systems has been carried out using the transients Electromagnetic (EMTP) 3 or one of its variants, such as the alternative transient program (ATP) or electromagnetic transients for dc (EMTDC), which are based on the rule of trapezoidal integration and nodal approach. SPICE is a general purpose circuit simulation program developed at the University of California at Berkeley.4 It contains models for basic circuit elements (R, L, C, independent and controlled sources, transformer, transmission line) Common semiconductor devices : Diodes, bipolar junction transistors (BJT), junction field effect transistors (JFET), MESFET and MOSFET. SPICE is mainly applied to simulate electronic and electrical circuits for different analyzes, including dc.a.c., transients, zero pole, distortion, sensitivity and noise.