The behavior of large and tightly interconnected power systems resembles, in certain circumstances, the behavior of a continuously distributed system. This resemblance motivated the derivation of continuum models, which were used to explain and predict disturbance propagation, un-damped power oscillations, and the stability of power systems. In this dissertation, we propose a one-dimensional continuum representation suitable for meshed power systems. Previous continuous representations of meshed power systems used two-dimensional spatial domains. Thus our approach has the potential to provide better resolution for comparable computational burden. It is important to note that, the computational burden required to obtain solutions for PDEs involved in the continuum representation varies notably with the solver implementation. The contributions of this dissertation are: a) Reviewing a previous continuum model and providing a detailed derivation for the one-dimensional version of it. b) Providing and describing in detail a parameter distribution technique adequate for the continuum approach. c) Identifying and documenting limitations on the continuum model voltage calculation. e) Providing a procedure to simulate the behavior of meshed power systems using the one dimensional continuum model. And f) Identifying and applying a numerical PDE solver for the continuum approach. / Ph. D.

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Submitted by Marlene Santos (marlene.bc.ufg@gmail.com) on 2018-10-29T17:06:17Z No. of bitstreams: 2 Dissertação - José Alberto Gobbes Cararo - 2018.pdf: 7377597 bytes, checksum: 1659af9cf040e52ce6bdb4b0e3c1d886 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2018-10-30T11:18:45Z (GMT) No. of bitstreams: 2 Dissertação - José Alberto Gobbes Cararo - 2018.pdf: 7377597 bytes, checksum: 1659af9cf040e52ce6bdb4b0e3c1d886 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Made available in DSpace on 2018-10-30T11:18:45Z (GMT). No. of bitstreams: 2 Dissertação - José Alberto Gobbes Cararo - 2018.pdf: 7377597 bytes, checksum: 1659af9cf040e52ce6bdb4b0e3c1d886 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2018-08-29 / This work presents methodology for voltage adequacy into electric power distribution network with the insertion of photovoltaic distributed generation. Deterministic, heuristic and hybrid optimization methods are used to find the variables: i) geographical siting, ii) supply power and iii) amount of photovoltaic distributed generation. The main characteristic of the methodology is the obtaining of the amount of photovoltaic distributed generation units necessary for the adequacy of electric network voltage, respecting the supply power of each generation unit. The results indicate improvement in voltage levels after insertion of photovoltaic distributed generation units with optimized parameters for different voltage transgression scenarios. The proposed methodology is efficient for voltage adequacy through the insertion of photovoltaic distributed generation. / Este trabalho apresenta metodologia para adequação de tensão na rede de distribuição de energia elétrica com a inserção de geração distribuída fotovoltaica. São utilizados métodos de otimização determinístico, heurístico e híbrido para encontrar as variáveis: i) posição geográfica, ii) potência de fornecimento e iii) quantidade de geração distribuída fotovoltaica. A principal característica da metodologia é a obtenção da quantidade de unidades de geração distribuída fotovoltaica necessárias para a adequação de tensão da rede elétrica, respeitando a potência de fornecimento de cada unidade de geração. Os resultados indicam melhoria nos níveis de tensão após inserções de unidades de geração distribuída fotovoltaica com parâmetros otimizados para diferentes cenários de transgressão de tensão. A metodologia proposta é eficiente para adequação de tensão através da inserção de geração distribuída fotovoltaica.