## Journal of Applied Mathematics

• J. Appl. Math.
• Volume 2014, Special Issue (2014), Article ID 810607, 9 pages.

### An Improved Substation Locating and Sizing Method Based on the Weighted Voronoi Diagram and the Transportation Model

#### Abstract

Substation locating and sizing is an important component of urban power networks. In this paper, an improved method based on the weighted Voronoi diagram and transportation model for substation planning is proposed, which can optimize the location, capacity, and power supply range for each substation with the minimum investment which contains the cost of the lines, substations, and annual operation expense. The weighted Voronoi diagram (WVD) whose weights can be adaptively adjusted can calculate the location and the capacity for each substation with good performance of global convergence and better convergence speed. Transportation model can simulate the best correspondence relationship between the loads and substations. The impact of geographical factors is also considered in this paper. Large amount of experiments show that the improved method can get more reasonable and more optimized planning result within shorter time than the original WVD and other algorithms.

#### Article information

Source
J. Appl. Math., Volume 2014, Special Issue (2014), Article ID 810607, 9 pages.

Dates
First available in Project Euclid: 1 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1412178010

Digital Object Identifier
doi:10.1155/2014/810607

#### Citation

Wang, Shiju; Lu, Zhiying; Ge, Shaoyun; Wang, Chengshan. An Improved Substation Locating and Sizing Method Based on the Weighted Voronoi Diagram and the Transportation Model. J. Appl. Math. 2014, Special Issue (2014), Article ID 810607, 9 pages. doi:10.1155/2014/810607. https://projecteuclid.org/euclid.jam/1412178010

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