Analysis of Feasibility Region Boundaries with Consideration of Multiple VSCs

This chapter presents a comprehensive investigation based on bifurcation theory into the small-disturbance stability of a power system equipped with multiple Voltage Source Converters (VSCs). It proposes a methodology designed to identify a system’s multi-dimensional feasibility region boundary concerning small-disturbance stability when multiple parameters vary simultaneously. The methodology uses a numerical method with a quasi-random sampling technique, which numerically determines the system's feasibility region boundary in an N-dimensional space. Furthermore, a data-driven model based on interpolation techniques is developed to establish the stopping criterion for the numerical method and to efficiently identify the system feasibility region boundary across N-domains. Building on the data-driven model, this chapter adopts the Spearman correlation coefficient to analyse the system's feasibility boundary. This analysis not only identifies the influential parameters on the system's feasibility region but also reveals the interactions between the VSCs and the network by examining the correlation index values.