An Interval Arithmetic-Based Power Flow Algorithm for Radial Distribution Network with Distributed Generation

Abstract

This paper presents a primary distribution system power flow analysis in the presence of uncertainties in distributed generation and loads. The algorithm is based on a backward/forward sweep power flow algorithm with power flow updates. The uncertainties are modelled by real compact intervals based on interval arithmetic. A simple and interactive method is used to consider the generator bus voltage controls and reactive power limits. Simulations are presented on a 69-bus, a 104-bus and a 282-bus test distribution system to verify the effectiveness of the proposed method. The power flow solution bounds obtained by the proposed algorithm are compared to those calculated using a Monte Carlo simulation. The results confirm the efficiency of the proposed method which makes it promising to solve real problems of power flow analysis in distribution feeders.