Reactive power optimization for three-phase distribution networks with distributed generators based on mixed integer second-order cone programming

被引：15

作者：

Liu, Yibing ^{[1
,2
]}

Wu, Wenchuan ^{[1
,2
]}

Zhang, Boming ^{[1
,2
]}

Li, Zhengshuo ^{[1
,2
]}

Ju, Yuntao ^{[1
,2
]}

机构：

[1] Department of Electrical Engineering, Tsinghua University, Beijing

[2] State Key Laboratory of Control and Simulation of Power Systems and Generation Equipments, Tsinghua University, Beijing

来源：

Dianli Xitong Zidonghua/Automation of Electric Power Systems | 2014年 / 38卷 / 15期

关键词：

Discrete variables; Distributed generator; Distribution networks; Reactive power optimization; Second-order cone programming;

D O I：

10.7500/AEPS20131211011

中图分类号：

学科分类号：

摘要：

The reactive power optimization in distribution networks with distributed generators is a nonlinear and non-convex problem in essence and one hard to get an optimal solution. In light of the radial operation characteristic of the distribution network, this paper develops a three-phase reactive power optimization model based on branch power flow equations. Then the original reactive power optimization model is converted to a mathematical programming form with a convex feasible zone based on the second-order cone relaxation technology. Further, the model is extended to a mixed integer second-order cone programming model by taking the discrete compensation devices (such as capacitors) into account. The model can easily be solved by existing optimization solvers. Numerical tests on an IEEE 33-bus and IEEE 123-bus distribution system show that the proposed method is capable of efficient global optimal solution. ©2014 State Grid Electric Power Research Institute Press

引用

页码：58 / 64

页数：6

共 30 条

[1]

D'adamo C., Jupe S., Abbey C., Global survey on planning and operation of active distribution networks-update of CIGRE C6.11 working group activities, 20th International Conference and Exhibition on Electricity Distribution-Part 1, (2009)

[2]

Wang C., Li P., Development and challenges of distributed generation, the micro-grid and smart distribution system , Automation of Electric Power Systems, 34, 2, pp. 10-14, (2010)

[3]

Li Z., Wu W., Zhang B., Et al., A large-scale reactive power optimization method based on gaussian penalty function with discrete control variables , Proceedings of the CSEE, 33, 4, pp. 68-76, (2013)

[4]

Ding M., Guo X., Three-phase power flow for the weakly meshed distribution network with the distributed generation , Proceedings of the CSEE, 29, 13, pp. 35-40, (2009)

[5]

Wang S., Huang L., Wang C., Et al., Unbalanced three-phase power flow calculation for distributed power generation system , Electric Power Automation Equipment, 27, 8, pp. 11-15, (2007)

[6]

Ciric R.M., Feltrin A.P., Ochoa L.F., Power flow in four-wire distribution networks-general approach, 18, 4, pp. 1283-1290, (2003)

[7]

Bruno S., Lamonaca S., Rotondo G., Et al., Unbalanced three-phase optimal power flow for smart grids , 58, 10, pp. 4504-4513, (2011)

[8]

Gabash A., Pu L., Active-reactive optimal power flow in distribution networks with embedded generation and battery storage, 27, 4, pp. 2026-2035, (2012)

[9]

Farivar M., Neal R., Clarke C., Et al., Optimal inverter VAR control in distribution systems with high PV penetration, IEEE Power and Energy Society General Meeting, (2012)

[10]

Farivar M., Low S.H., Branch flow model: relaxations and convexification-Part I , 28, 3, pp. 2554-2564, (2013)

← 1 2 3 →