Simulation of Electrical Heating with Multiple Transformers

Abstract:

In the simulation package GTM-X two methods are available that approximate the electric potentials in the glass melt in the presence of multiple transformers. Both methods control the grouped electrodes in such a way that power consistency is guaranteed, also for complicated electrode groupings and transformer systems. By power consistency we mean that the total heat release, as calculated from the potentials and currents at the electrodes, matches the power that is released in the volume cells. The first method approximates two scalar potentials; it may violate the constraint that electrical currents are conserved per electrode group. The second method solves for two scalar potentials per electrode group (or transformer); the result is that also this additional constraint can be satisfied. In this article, we discuss these two methods and show results for a model problem.

• Periodical: Advanced Materials Research (Volumes 39-40)
• Pages: 469-474
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.39-40.469
• Online since: April 2008
• Authors: Philip Simons, Andries Habraken
• Keywords: Electrical Heating, Finite Volume Method (FVM), Glass Melt, Joulean Heat, Mathematical Simulation

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