Studying Chaos in Power System Under Load Perturbation and Bounded Noise

Sliding Mode Control of Chaos in a Single Machine Connected to an Infinite Bus Power System

“…In the following three sections, we will propose three control schemes to suppress chaos in the power system. We will use the transformed model (15) to design the controllers. The controllers will be designed to force the states 1 ( ), 2 ( ),…”

“…when applied to the transformed fourth-order power system given by (15) guarantees the asymptotic convergence of the states ( ) = [ 1 ( ) 2 ( ) 3 ( ) 4 ( )] to zero as tends to infinity.…”

“…Remark 4. The design of the controller scheme is accomplished using the transformed dynamic model given by (15). Then the controllers 1 and 2 given by (17) are transformed back into the original coordinates such that Figures 8-11.…”

“…Also, differentiating (22) with respect to time, using the model of the transformed system in (15) and substituting 2 by its value from (24), it follows thaṫ…”

“…Several researchers studied the chaotic phenomena in power systems. Early studies were mainly focused on interpreting the behavior of chaotic oscillations of power systems [4][5][6][7][8][9][10][11][12][13][14][15]. Routes to chaotic oscillations in power systems and relationship between chaos and power system instability were studied in [16][17][18][19].…”