Optimal configuration of distributed wind turbines with D-STATCOMs for improving voltage recovery capability of sensitive nodes

With the technological development of industrial automation, an increasing number of modern electronic components, which are very sensitive to voltage changes, are emerging in the distribution network as sensitive lodes. Enormous economic losses will be caused if voltage disturbance happens. Therefore, in this article, to support the voltage on these sensitive nodes in a targeted manner, an index denoted as \(\widetilde{vrc}\) is constructed to quantitatively describe the voltage recovery capability. Afterward, to satisfy the constraint of index \(\widetilde{vrc}\), distributed wind turbines (DWTs) and distribution static compensators (D-STATCOMs) are optimized to the most beneficial capacities and locations, to provide the reactive power required by the sensitive nodes during voltage recovery process. The proposed mathematical model is relaxed from MINLP model into a second-order cone relaxation (SOCR) model and verified on IEEE 33-bus distribution network under scenarios with different \(\widetilde{vrc}\) values. The results prove that connecting sensitive loads to distribution network has large influences on the configuration scheme of DWTs and D-STATCOMs. Moreover, three algorithms named cuckoo search optimization(CSO), clustering cuckoo search optimization(CCSO) and Jaya are provided to compete with SOCR method in solving this mathematical model. Results show that SOCR method is superior than all the algorithms in robustness and effectiveness in terms of processing time and solution quality.