A novel approach for transient stability using interval arithmetic and optimization methods

Abstract

Summary In this article, a new approach is proposed to include parametric uncertainties in the analysis of the transient stability of power systems by using intervals. Two methodologies based on the interval uncertainties were developed and implemented: (i) a robust extension of the potential energy boundary surface method combined with interval arithmetic and (ii) an optimization formulation for the transient stability problem. The interval uncertainties enable one to obtain closed‐form expressions for stability assessment of uncertain systems, allowing a faster analysis. The results show that both methodologies can be used to find an accurate estimate of the critical clearing time for uncertain power systems more quickly than using the classical Monte Carlo approach.

A new method for operating point free power system transient stability situational awareness based on single machine equivalent approach

“…TEF requires the computation of unstable equilibrium points (UEP) for determining the critical energy associated with a given contingency. A novel method for estimation of CCT using potential energy boundary surface method (PEBS) combined with optimization is proposed in Reference 14. However, the application of TEF based method in real time is limited as (a) it is usually rather a difficult to formulate an energy function that satisfies the complex operation conditions of nonlinear power system (b) energy function computations are based on many simplifying assumptions which, depends on the operating conditions, are not always true.…”