Reactive Power Optimization for Distribution Network with Distributed Generators Based on Semi-Definite Programming

Abstract:

Reactive power optimization for distribution network with distributed generators is a complicated nonconvex nonlinear mixed integer programming problem. This paper built a mathematical model of reactive power optimization for distribution network and a new method to solve this problem was proposed based on semi-definite programming. The original mathematical model was transformed and relaxed into a convex SDP model, to guarantee the global optimal solution within the polynomial times. Then the model was extended to a mixed integer semi-definite programming model with discrete variables when considering discrete compensation equipment such as capacitor banks. Global optimal solution of this model can be obtained by cutting plane method and branch and bound method. Numerical tests on the modified IEEE 33-bus system show this method is exact and can be solved efficiently.

• Periodical: Advanced Materials Research (Volumes 1070-1072)
• Pages: 809-814
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.1070-1072.809
• Online since: December 2014
• Authors: Lei Dong, Ai Zhong Tian*, Tian Jiao Pu, Zheng Fan, Ting Yu
• Keywords: Distributed Generator (DG), Distribution Network, Reactive Power Optimization, Semi-Definite Programming

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