Abstract
This paper presents the mathematical modeling of the three-phase squirrel cage induction motor and its driver, the DC bus, and a photovoltaic system comprised of photovoltaic cells and the DC/DC boost converter. The mathematical modeling is accomplished in two manners, using the laws of Physics and the Euler-Lagrange approach. In addition, the mathematical modeling also considers the 𝒂𝒃𝒄 and 𝒒𝒅𝟎 reference frames. The mathematical models are validated through simulation in the Matlab/Simulink environment, programming the obtained equations and comparing them with a block model of the simulation environment.
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