Chapter 18
Numerical Studies of BCU Methods from Stability Boundary Perspectives
The BCU method computes the reduced-state controlling unstable equilibrium point (UEP) and explores the dynamic relationship between the controlling UEP of the original system and the reduced-state controlling UEP of the reduced-state system to achieve its key objective: computing the controlling UEP of the original system. Hence, the dynamic relationship and computation of the reduced-state controlling UEP of the reduced-state system play a key role in the success of the BCU method. In other words, the successful computation of the controlling UEP by the BCU method depends on the computation of the reduced-state controlling UEP and the correspondence between the reduced-state controlling UEP and the controlling UEP.
In this chapter, we present numerical studies on the BCU method computational procedure for computing the reduced-state controlling UEP of the reduced-state system and for computing the dynamic relationship between the controlling UEP of the original system and the reduced-state controlling UEP. The computational procedure of the BCU method will be numerically demonstrated using the stability boundary of the original system and that of the reduced-state system. These numerical studies also shed light on dynamic property (D2) and lead to an improved version of the dynamic property (D2) needed in the BCU method.
18.1 INTRODUCTION
In developing a BCU method for a given power system stability ...
