Submitted by SBI Biblioteca Digital (sbi.bibliotecadigital@puc-campinas.edu.br) on 2021-06-10T14:43:05Z No. of bitstreams: 1 AMIRALDO SILVA SAMPAIO.pdf: 3907195 bytes, checksum: 19aed8acfa25cbe2f57d797fec38f11f (MD5) Made available in DSpace on 2021-06-10T14:43:05Z (GMT). No. of bitstreams: 1 AMIRALDO SILVA SAMPAIO.pdf: 3907195 bytes, checksum: 19aed8acfa25cbe2f57d797fec38f11f (MD5) Previous issue date: 2021-02-24 Pontif?cia Universidade Cat?lica de Campinas - PUC Campinas The constant increase in the demand for electric energy and the commitment to supply this energy with quality require an assertive planning of the expansion of their distribution systems from the electric energy utilities. Thus, the Expansion Planning of Power Distribution Systems (PSDEE) can be understood as a set of actions that have the responsibility to ensure the supply of electric energy for the growth projected by the sector. In general, the solutions to the problem of PSDEE seek to determine the construction of circuits and substations, respecting the restrictions physical, operational, and financial involved in that process. From an economic point of view, solve this problem is an assignment important for the utilities, because this activity represents a portion considerable of their investments. In this context, to correctly determine the moments for target the resources and find ways to obtain the maximization of return financial are questions relevant to be observed by these utilities. Therefore, the purpose of this work and propose a Mixed Integer Second Order Cone Programming (MISOCP) model to solve the problem of PSDEE, considering the Substation Utilization Index (IAS) application in your set of restrictions. The IAS it's an index used by ANEEL, organ regulator of electrical sector Brazilian, for to assess quantitatively the utilization substations of utilities power electrical and ensure that investments performed by these companies be prudent and, consequently remunerated from correct way through the tariff power charged from consumers. The mathematical model considers how objective function minimization of the costs of construction of substations and circuits plus the costs of operation of substation and electrical energy losses, subject to balance of active and reactive powers constraints, limits of circuits and substations operation, lower limit of IAS, considering still the radiality condition of the system. To validate the model, two systems available in the specialized literature have been tested, a system with 24 and another with 54 nodes. The tests were performed considering the minimum limit of IAS and with the relaxation of this constraint. O aumento constante da demanda por energia el?trica e o compromisso de fornec?-la com qualidade exigem das concession?rias de energia el?trica um planejamento assertivo da expans?o dos seus sistemas de distribui??o. Dessa forma, o Planejamento da Expans?o dos Sistemas de Distribui??o de Energia El?trica (PSDEE) pode ser entendido como um conjunto de a??es que t?m a responsabilidade de assegurar o fornecimento de energia el?trica para o crescimento projetado pelo setor. No geral, as solu??es para o problema de PSDEE buscam determinar a constru??o de circuitos e de subesta??es, respeitando as restri??es f?sicas, operacionais e financeiras envolvidas nesse processo. Do ponto de vista econ?mico, resolver este problema ? uma tarefa importante para as distribuidoras, pois esta atividade representa uma parcela consider?vel de seus investimentos. Nesse contexto, determinar corretamente os momentos para se direcionar os recursos e encontrar meios para se obter a maximiza??o do retorno financeiro s?o quest?es relevantes a serem observadas por estas empresas. Portanto, o objetivo deste trabalho ? propor um modelo de Programa??o C?nica de Segunda Ordem Inteiro Misto (PCSOIM) para solucionar o problema de PSDEE, considerando a aplica??o do ?ndice de Aproveitamento das Subesta??es (IAS) em seu conjunto de restri??es. O IAS ? um ?ndice utilizado pela ANEEL, ?rg?o regulador do setor el?trico brasileiro, para avaliar quantitativamente o aproveitamento das subesta??es das concession?rias de energia el?trica e garantir que os investimentos realizados por estas empresas sejam prudentes e, consequentemente, remunerados de forma correta atrav?s da tarifa de energia cobrada dos consumidores. O modelo matem?tico considera como fun??o objetivo a minimiza??o dos custos de constru??o de subesta??es e circuitos mais os custos de opera??o da subesta??o e perdas de energia el?trica, sujeito a restri??es de balan?o de pot?ncias ativa e reativa, limites de opera??o dos circuitos e subesta??es, limite m?nimo de IAS, considerando ainda a condi??o de radialidade do sistema. Para validar o modelo, dois sistemas dispon?veis na literatura especializada foram testados, um sistema de 24 e outro de 54 barras. Os testes foram realizados considerando o limite m?nimo de IAS e com o relaxamento desta restri??o.