Design of power system stabilizer for enhancement power system stability is proposed. The effect
of the proposed PSS on the synchronizing and damping torque coefficients is proved. To study the
effectiveness of the proposed linear quadratic regulator (LQR) power system stabilizer, a sample power system
in a linearized model is simulated and subjected to different operating conditions. The Linear Quadratic
Gaussian (LQG) power system stabilizer is proposed. The power system dynamic responses after applying a
variety of operating points with the proposed LQG-PSS stabilizer are plotted. The output of such stabilizer is
fed directly to the automatic voltage regulator (AVR) of the synchronous machine. The input to such stabilizer
are four state variables, two are accessible which are the deviation of the speed (Δω) and rotor angle (Δδ ).
The other two inaccessible states that are the deviation of the Voltage proportional to q-axis flux linkage.
( '
q ΔE ) and the Generator field voltage ( fd ΔE ). An observer has been designed to access the two inaccessible
states. Further, the effect of connecting the proposed power system stabilizer on synchronizing and damping
torque coefficients is tabulated. A comparison between the effect of the power system stabilizer based on either
LQR approach, the proposed LQG stabilizer in terms of either power system responses or its eigenvalues due
to different load condition is reported.