I. Introduction
The increasing penetration of renewable distributed generation, e.g., micro wind turbines and solar photovoltaic, with the intermittent generation characteristics has brought significant challenges to the operation and control of power distribution networks [1]. The state estimation (SE) is considered critical for the timely awareness of distribution network operation through analyzing the measurement data and providing accurate real-time network states [2]. The advanced control and management functionalities of the distribution management system firmly rely on reliable and accurate state estimation, e.g., operation optimization, voltage stability analysis, dynamic security assessment, energy dispatch, etc. [3]. In the distribution network operation, many power system analysis tools require high-resolution SE to fulfill the functionality and prevent the system from operational risks, particularly in the presence of massive penetration of distributed renewable generation. However, the implementation of high-resolution SE in the power distribution system is considered a nontrivial task due to the following two reasons: 1) the accuracy and sampling frequency of supervisory control and data acquisition (SCADA) cannot meet the requirement of distribution network perception due to the highly uncertain operational conditions. The phasor measurement units (PMU) that can enhance the measurement capability with a much higher sampling rate compared with SCADA ([4], [5]) are generally only deployed in certain locations across the distribution network for economic reasons in practice [6]; 2) the measurement data faces the risk of being lost or tampered due to communication failure and network attacks, e.g., fake data injection attacks and network attacks; 3) the incompleteness and inaccuracy of measurements may directly degrade the performance, or even lead to nonconverge of SE [7].