Interval arithmetic power flow analysis of radial distribution system including uncertainties in input parameters

Abstract

The paper focuses on the use of Interval Arithmetic to incorporate line and load uncertainties in the balanced radial distribution system. These uncertainties in input parameter are assumed to vary at fixed proportion as well as the Gaussian distribution function. The application of the Interval Arithmetic gives strictly bounded solutions for the power flow problem. The Interval Arithmetic power flow analysis is performed by formulating Distribution load flow (DLF) matrix. The results acquired from Interval Arithmetic based power flow problem are replicated on 31-bus system and found appropriate for planning and expansion planning of radial distribution system.