An interval Taylor-based method for transient stability assessment of power systems with uncertainties

Transient stability assessment needs to be further studied when confronted with uncertainties brought in by the integration of renewable energy and measurement errors. This paper outlines a novel method based on interval Taylor expansion incorporated optimal solution technique to solve the uncertainty model for transient stability assessment. Uncertainty assessment framework for power systems transient stability is described as ordinary differential equations with interval variables, which can be equivalently transformed into three sets of ordinary differential equations with only deterministic parameters using the interval Taylor method with second-order expansion. In order to further reduce the overestimation, a quadratic programming model is constructed to estimate upper and lower boundaries of state variables. Application of the proposed method is implemented in SIMB system and IEEE-30 system and the results are demonstrated in details. Comparisons with affine arithmetic (AA)-based method and Monte Carlo method verify the effectiveness and better performance of the proposed method.