Genetic algorithm based simultaneous eigenvalue placement of power systems

This paper demonstrates the use of genetic algorithms to design a single ou tput feedback control law for the simultaneous eigenvalue placement of a po wer system running over a wide range of operating conditions. The task of s electing the output feedback gains is converted to a simple optimization pr oblem with an eigenvalue-based objective function, which is solved by a gen etic algorithm. An objective function is presented allowing the selection o f the output feedback gains to place the closed-loop eigenvalues in the lef t-hand side of a vertical line in the complex s-plane while shifting a spec ific mode of oscillation to a vertical strip and with bounds on the damping ratio. Simultaneous placement of the closed-loop eigenvalues of the power system operating at different loading conditions, using a single output fee dback stabilizer, is demonstrated. The effectiveness of the output feedback stabilizer in enhancing the dynamic stability of power systems is verified through eigenvalue analysis and simulation results.