Interval Power Flow Analysis of Linearised AC Power Flow Model Based on Improved Affine Arithmetic Method

Evaluating power flow fluctuations under uncertainties is an important problem in power systems with a high proportion of renewable energy. However, the computational efficiency of the existing interval algorithms for nonlinear power flow equations is challenging. This paper proposes an interval power flow analysis method based on an interval AC-LPF model and affine arithmetic. The proposed method can guarantee accuracy and reduce time complexity without iterations. By Linearising AC power flow and introducing the intervals of injected power, this paper proposes an interval AC Linearised power flow model. Furthermore, an affine arithmetic-based algorithm is designed to reduce conservation and time complexity in the interval calculation. The proposed method is validated on six IEEE standard systems and a modified real-world power system in Northwest China. Numerical results show the effectiveness of the proposed method.