Preprint Article Version 1 This version is not peer-reviewed

# Calculation of Maximum Total Supply Capacity of Three-Phase Unbalance Distribution Network Based on Mixed Integer Second-Order Cone

Version 1 : Received: 22 November 2019 / Approved: 24 November 2019 / Online: 24 November 2019 (13:40:17 CET)

How to cite: Zheng, J.; Ni, S.; Shi, P.; Wu, G.; Wang, R.; Yi, C.; Hu, Z. Calculation of Maximum Total Supply Capacity of Three-Phase Unbalance Distribution Network Based on Mixed Integer Second-Order Cone. Preprints 2019, 2019110280 (doi: 10.20944/preprints201911.0280.v1). Zheng, J.; Ni, S.; Shi, P.; Wu, G.; Wang, R.; Yi, C.; Hu, Z. Calculation of Maximum Total Supply Capacity of Three-Phase Unbalance Distribution Network Based on Mixed Integer Second-Order Cone. Preprints 2019, 2019110280 (doi: 10.20944/preprints201911.0280.v1).

## Abstract

Considering the fault "N-1" checksum and the power flow, the single-phase power flow model is further transformed into a three-phase power flow model, and the asymmetry of the three-phase power flow is measured by the three-phase unbalance factor. The calculation model is linearized by the second-order cone relaxation and the Big-M method. At the same time, the load response and distribution network reconstruction are used to improve the reliability of the power supply network to cope with the power failure. The relationship between power supply capability and power flow constraints, main transformer capacity and distributed power parameters is analyzed by IEEE 33-node three-phase power distribution system. The feasibility of the proposed model and the accuracy of the second-order cone relaxation are verified by numerical examples, which provides a technical reference for distribution network planning.

## Subject Areas

istribution network; total supply capacity; second-order cone relaxation; power flow calculation; load response; big-m method; three-phase unbalance degree