Abstract

Simulated Annealing (SA) is a powerful tool for optimization problems that have several local optima. This tool has the ability to escape from a local optima accepting relatively bad solutions for a period and searching for good solutions in your neighborhood. This paper describes the use of SA based on Gaussian Probability Density Function as a decision support criteria in resolution of Transmission Expansion Planning (TEP) problem. This method consists in starting from an initial solution with all possible circuits added and over the iterations removing, replacing or adding new circuits. The method proved to be a reasonable computational effort and proved able to find optimal values known in the literature.

Highlights

  • Electric network expansion may be studied by static or by dynamic models

  • Solving this optimization problem is an arduous task since it has some special features that increase its complexity: Simulated Annealing with Gaussian Probability Density Function for Transmission Expansion Planning Phillipe Gomes

  • This method will be used in hybrid form with the Gaussian Probability Density Function and their motivations will be detailed in a chapter 2, this hybridization was applied to an academic system known as Garver-6 bus, widely detailed in (Latorre, 2003), and shown to be a potential object of study for real transmission systems, since this application there was the optimal results with low computational effort

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Summary

Introduction

Electric network expansion may be studied by static or by dynamic models. The first one is termed Static Transmission Expansion Planning (STEP) and tries to discover an optimal topology of expansion, i.e, where should be installed an equipment that minimizes the installation and operational costs for a given scenario of generation and load. Given the shortcomings of the above approaches, this paper details a method for solve the STEP problem based on a tool called Simulated Annealing (SA) which in turn is a probabilistic local search technique, and is based on an analogy with thermodynamics This method will be used in hybrid form with the Gaussian Probability Density Function and their motivations will be detailed in a chapter 2, this hybridization was applied to an academic system known as Garver-6 bus, widely detailed in (Latorre, 2003), and shown to be a potential object of study for real transmission systems, since this application there was the optimal results with low computational effort.

Gaussian Probability Density Function in STEP problem
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