An implicit projective integration based dynamic simulation algorithm of active distribution networks

The widely integrated distributed generators (DG) have brought challenges of analyzing the dynamic characteristics of active distribution networks (ADNs), especially the stability analysis under a large disturbance. A highly efficient and reliable dynamic simulation algorithm with good numerical stability is therefore of great importance for the study of ADNs. This paper presents a novel dynamic simulation algorithm of ADNs based on the implicit projective method. It is a second-order integration method and the numerical stability of which is similar to the A-stable property, namely, the numerical stability is barely limited by the step sizes of its outer integrator. The efficiency of the proposed algorithm is improved significantly compared with the traditional integration methods. It is especially suitable for the dynamic simulation and stability analysis of the ADNs integrated with a number of DGs. Case studies based on the low-voltage ADN benchmark and the IEEE 123-node feeder show the feasibility and effectiveness of the proposed method, which is verified through the comparisons with the commercial simulation tool and the traditional trapezoidal method.