In this study, the extended
H∞, control, proposed in Ref. 6), is applied to the frequency control of a multi area power generation plant. More specifically, we consider a two area electric power generation system, with two generators, two loads and a tie-line connecting them. The purpose is to reject the frequency deviations due to step load disturbance.
This is an interesting control problem because of the existence of a zero at s=0 in the multivariable plant that imposes a constraint on the steady state output
y (∞). The paper discusses how to construct a suitable generalized plant for such a problem in order to design an H∞ optimized control system that is able to reject step load disturbances asymptotically.
Using the
H∞ approach, the controller is derived to achieve the disturbance rejection and to be robust to parameter uncertainty of the plant. The performances of the extended H∞ controller and the LQG controller are compared. It is shown that the
H∞ controller is superior to the LQG controller in both nominal case and perturbed case.
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