Contingency screening using interval analysis in power systems

This paper proposes a contingency screening method for considering uncertainty with interval analysis that may express a variable as an interval number or the lower and upper bounds. The proposal is used to handle uncertainty of nodal voltage variables that stems from the variation of the nodal injection powers. The linearized power flow equation is considered as a basis of contingency screening. This paper focuses on the Gauss-Seidel interval and the simple iteration methods for interval analysis in the linear equation. The methods are applied to sample systems. A comparison between them is made to examine the performance in terms of solution accuracy and computational effort