Interval method for uncertain power flow analysis based on Taylor inclusion function

Interval arithmetic has been successfully applied to uncertain power flow analysis for power system, which aims at obtaining the upper and lower bounds of power flow solutions under interval uncertainties. However, traditional interval power flow (IPF) analysis method has embedded the interval computation into Newton iterative process, which makes interval solutions enlarge and huge computational load. In this study, the interval method based on Taylor inclusion function is proposed to solve the IPF problem. The interval mathematical model with interval variables is first established, and the solution of non‐linear algebraic equations with interval variables is transformed into three sets of certain equations by using Taylor inclusion function, which is formed from certain power flow equations. Several test cases under interval uncertainties are employed to demonstrate the effectiveness of the proposed methodology. The results show that the proposed methodology can supply sufficient numerical accuracy with high computational efficiency compared with the interval iterative method and Monte Carlo simulation method.