Optimal Planning of Unbalanced Networks Using Dynamic Programming Optimization

Abstract

This paper presents a method based on dynamic programming optimization to design distribution and industrial networks with unbalanced customers. Low-voltage and mediumvoltage network customers can be three-phase (i.e., industrial and commercial) and single-phase (e.g,. residential and rural areas). Moreover, American medium-voltage distribution networks have single-phase lines (rural areas) and three-phase lines (urban and primary feeders). Optimization of an unbalanced network implies optimal assignation of single-phase customers to each phase. This works considers different conductor types, tapering, power losses in lines, capacity and voltage drop constraints and deterministic loads, all employing single-phase and three-phase lines. The necessary modifications to apply it by single-wire earth return systems is presented.Index Terms-Distribution network planning, dynamic programming, industrial network, network design, single-phase customers, single-wire earth return system (SWER), three-phase.Eloy Díaz-Dorado received the Ph.D. degree in electrical engineering from the Universidade de Vigo, Vigo, Spain, in 1999.He is a Professor in the Departamento de Enxeñeria Eléctrica, Universidade de Vigo. His research involves estimation and planning of power systems.José Cidrás Pidre (M'92) received the Ph.D. degree in electrical engineering from the where he leads investigation projects into wind energy, photovoltaic energy, and planning of power systems.

Presenting a Stochastic Model of Simultaneous Planning Problem of Distribution and Subtransmission Network Development considering the Reliability and Security Indicators

“…Based on relation (12), either existing lines must be present in the network or replacement lines. Also, based on relation (13), the element built in year t will be present in the network in the coming years. Relations ( 14)-( 16) refer to the radial structure of the distribution network.…”

“…Several authors have presented models in which the infuence of reliability indicators is considered in the development of the planning methods, but externally.. In other words, only after reaching the planning methods with minimum cost, the impact of reliability indicators is evaluated [13]. Te disadvantage of this strategy is that, in planning methods, the low-cost balance between the resistance obtained due to the improvement in reliability and the reduction of investment and operational costs is not measured in a framework.…”

Remuneration of Distribution Grids for Enhanced Regenerative Electricity Deployment—An Analysis and Model for the Analysis of Grid Structures in Southern Germany Using Linear Programming

“…In a follow-up study, the authors [34] additionally differentiate customer types located in the distribution grid area, three-phase industrial-commercial and single-phase residential and rural areas, and grids comprising either single or three phase lines. Additionally, different conductor types, papering, power losses in lines, capacities, and voltage drop constraints are controlled for, while assumed loads are deterministic on all lines.…”

Modelo multi-estágio de otimização para o planejamento da expansão de sistemas de distribuição

“…Os métodos de solução usados para resolver o problema de expansão podem ser divididos em duas categorias: métodos de programação matemática e métodos heurísticos, incluindo sistemas especialistas e algoritmos evolucionários. Entre os métodos de programação matemática destaca-se a programação inteira mista (Sun et alii, 1982;Vaziri et alii, 2004aVaziri et alii, e 2004bPaiva et alii, 2005), a programação não-linear (Ponnavaikko et alii, 1987;El-Khattam et alii, 2005), a programação dinâmica (Boulaxis et alii, 2002;Díaz-Dorado e Pidre, 2004) e a programação linear (Farrag et alii, 1999). Com esta abordagem é possível representar explicitamente as principais restrições (Leis de Kirchhoff, capacidade dos equipamentos, queda de tensão e orçamento) e minimizar os custos fixos e variáveis relacionados com a instalação e substituição de equipamentos.…”