Robust wide area control in power systems using linear matrix inequalities

This paper presents a wide area control for power systems based on Linear Matrix Inequalities (LMI). The methodology is based on a linearized model of the multimachine system considering the second order model of the machine. The proposed methodology improves the transient response of the power system considering wide area measurement based on phasor measurement units. Stability is ensured because Lyapunov-based constrains are included in the method. The LMI is solved using CVX, a program for convex optimizations that includes semidefinite programming models. Tests on two power systems considering different load scenarios were performed. The capacity of the methodology to generate a robust control was demonstrated. Finally restrictions associated with the overshoot on the control variable for stricter initial conditions within a permanent ellipsoid are included.