Non-iterative radial network power flow with parameter uncertainties: Interval mathematics

This paper presents a methodology to solve radial distribution networks load flow problem, wherein the input data are uncertain due to measurement errors. In order to deal with these here the uncertainties, interval mathematics (IM) tool has been applied to obtain the interval load flow solution. The data arrangement to account for uncertainties, the complex load currents at the buses and line parameters have been treated as interval numbers and subsequently, the complex interval arithmetic has been used to compute the solution. This approach arranges the interval input data and compute interval load flow solution using concept of duality based method. The proposed method also, compares with fuzzy-interval method for the defined range. This methodology is programmed and successfully demonstrated for defined networks having 15 and 27 bus system data. It can be extended three phase networks also.