A mathematical model of urban distribution electro-network considering its future development

• Main Authors: A. P. Karpenko, I. A. Kuzmina
• Format: Article
• Language: Russian
• Published: MGTU im. N.È. Baumana 2014-01-01
• Series: Nauka i Obrazovanie
• Subjects: mathematical modeling; multiobjective optimization; perspective development
• Online Access: http://technomag.edu.ru/jour/article/view/601

<p>A distribution urban power supply network (further, the power supply network) is the network of urban scale. Designed to transfer and distribute electric power it represents a set of transforming and distributional substations and power lines to connect them. We consider a problem of the prospective development of power supply network (PDPSN) as a task to define the ways for its optimum development in terms of configuration, equipment loads, parameters, etc., as well as from the point of view of need and terms to put into service the new objects of the power supply network.</p><p>The program systems represented in the market allow us to calculate parameters of power supply systems, network operating modes, to display power supply schemes, and to make technical documentation, but they do not support the CAD of optimum network topology taking into account factors of the prospective urban development.</p><p>A main objective of the work is development of mathematical model of the power supply network taking into account its prospective development. Based on this model the task is set to optimize the prospective power supply network development through the solving a problem of multi-criteria structural and parametrical optimization. Expediency is proved to use a method of reduction to the one-criteria task by means of this or that scalar convolution to solve this task.</p><p>The specified problem of one-criteria optimization of PDPSN represents a problem of continuous-discrete-integer programming. The paper proves its representation as a problem of discrete programming based on the discrete approximation of possible regions to construct new transforming and distributional substations.</p>