Authors: G. KISHORE BABU and M. S. KRISHNARAYALU
A singularly perturbed discrete power system with two parameters (three-time-scales) is considered. An optimal controller using Pontriagin’s minimum principle (PMP) is designed for this stiff system. But the solution for control law of this type of system requires special numerical techniques such as shooting methods. Hence it is better to go for a suboptimal controller that eliminates this problem. Singular perturbation method (SPM) that reduces the order, removes the stiffness of the system and with approximate solutions closer to optimal solution is an ideal choice for this problem. The SPM consists of an outer, two initial boundary layer corrections (BLC) and two final BLC solutions for this problem. The SPM is applied to a fifth order power system model as a case study. The results of case study validate the proposed suboptimal controller.
Two parameter discrete system, Open-loop optimal control, Stiff two-point boundary value problem, Suboptimal control, Singular perturbation method, Outer solution, Boundary layer corrections.
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