Estimación de parámetros en máquinas y dispositivos eléctricos minimizando el error de estimación entre las variables eléctricas medidas y calculadas mediante un modelo de programación no lineal

Abstract

This investigation focuses on the development of parametric estimation models applied to three devices in electrical engineering: transformers, reactors, and solar cells. The objective is determine the fundamental parameters of these devices through the implementation of these models in Julia software. The results revealed a notable similarity between the estimated parameters and the values reported in the literature, confirming the effectiveness of the optimization models employed. Particularly, the obtained values for magnetization resistance, magnetization reactance, series resistance, and series reactance in transformers closely aligned with the reference values in the literature. Additionally, the employed software accurately estimated the current and voltage in transformers, demonstrating its effectiveness. For reactors, the research showed that the proposed mathematical model allows for adequate estimation of parameters such as resistance, reactance, series resistance, series reactance, current, and voltage, once again showing reasonable agreement with reference values in the literature. In the case of solar cells, the estimation of critical parameters such as reverse saturation current and photocurrent were practically identical to those reported in the literature, suggesting their utility in the parametric estimation of these devices. Another result of this work is the processing time employed by the optimization tool for nonlinear programming problems available for Julia, which turned out to be significantly lower compared to the processing times reported in previous research. This indicates the efficiency of the proposed models and their feasibility for implementation in real-world applications. In summary, this investigation proposed the use of nonlinear programming tools in Julia software for parametric estimation in transformers, reactors, and solar cells, validated through comparisons with reference values in the literature. These electrical models implemented in Julia promise to enhance the characterization and efficiency of these devices in various electrical applications.