Parametrization of electromechanical systems must acknowledge Newton and Maxwell

Natasha Hirschfeldt, Roberta Lima, Rubens Sampaio

Resumo


Electromechanical systems are an interesting type of coupled systems. They are com-  posed by two subsystems with different nature: mechanical and electromagnetic. The subsystems  interact. To represent the dynamics of a coupled system, it is necessary to properly characterize  their interaction. The dynamics of an electromechanical system is given by an initial value prob-  lem (IVP) comprising a set of coupled differential equations involving, necessarily, mechanical and  electromagnetic variables. Despite the ubiquity of electromechanical systems, a few authors do  not parametrize them properly. Frequently, by some artífice, strange to the problem, the coupled  system is uncoupled disregarding the electromagnetic subsystem. Hence, the uncoupled system  has a different dynamics, resulting a reduced IVP with only a mechanical equation. This paper  discusses this uncoupling using as example a galvanometer, a well-known measuring device. To  analyze the effects of the decoupling, numerical simulations of the two IVP, complete and reduced,  are performed.


Palavras-chave


Lagrangian, Energy; Co-energy; Electromechanical system; Galvanometer.

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Referências


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DOI: https://doi.org/10.5540/03.2021.008.01.0459

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