Análise de sensibilidade ramal via matriz de sensibilidade no plano complexo

Abstract

This thesis not only contributes to the advancement of knowledge in the field of sensitivity analysis of electrical networks but also offers direct tools and applications for the optimization and operation of these networks. With the growing complexity of electrical systems, the need for robust analytical tools to understand and optimize the dynamics of these networks becomes essential. This work focuses on the branch sensitivity analysis of electrical networks using a sensitivity matrix in the complex plane, a unique approach that provides perspectives and insights into the interactions of electrical systems. Through MATLAB software, algorithms were developed for sensitivity analysis. The main case studies involve the electrical networks of 14, 57, 300, 1354, and 2869 buses, all extracted from the database of the MATPOWER software. Among the objectives, the following stand out: The development of the sensitivity matrix in the complex plane is crucial for the analysis of electrical networks, offering a solid and robust foundation to investigate electrical systems based on the equations that model their branches; The validation of the developed algorithms is sought through benchmark cases. In this sense, the work presents an application of these algorithms to the case studies, which are electric grids based on real electrical systems. In analyzing these cases, the aim was to demonstrate the success and conciseness of the codes in handling electrical variables in their natural domain and the versatility of the methodology, as the modeling is done through the equations of the network branches, contemplating the local analysis of electrical network models. This methodology can provide valuable insights into system dynamics, allowing the evaluation of complex relationships between its parts and the system as a whole, potentially contributing significantly to the advancement of studies focused on optimization, stability, planning, resource allocation, etc. The results obtained in this thesis demonstrate the conciseness and efficacy of the methods used, opening a broad horizon of investigative possibilities regarding the different parameters and system variables. By offering a theoretical platform where it is possible to explore electrical systems in a domain more suited to the nature of the involved electrical variables, there is an increase in robustness, conciseness, readability, ease of maintenance, and performance. Therefore, this work emerges as a proposal for improving the understanding, optimization, and innovation of electrical systems.