I. Introduction
As the penetration of low-carbon technologies in distribution networks increasing the variability and complexity of loading patterns, it is more important to monitor the distribution system in real-time to enhance security and reliability of distribution system. Transmission systems are generally fully monitored by supervisory control and data acquisition (SCADA), while the number of smart meters in the distribution system is limited. The installation and maintenance would be costly if meters were installed at all nodes in the distribution system. There are three methods proposed to make distribution network completely visible. They are state estimation, load allocation and probabilistic load flow [1] .