On a stochastic arc furnace model

Hans-Jörg Starkloff, Markus Dietz, Ganna Chekhanova

Abstract


One of the approaches in modeling of electric arc furnace  is based on the power balance equation and results in a nonlinear ordinary differential equation. In reality it can be observed that the graph of the arc voltage varies randomly in time, in fact it oscillate with a random time-varying amplitude and a slight shiver. To get a more realistic model, at least one of the model parameters should be modeled as a stochastic process, which leads to a random differential equation.
We propose a stochastic model using the stationary Ornstein-Uhlenbeck process for modeling stochastic influences.
Results, gained by applying Monte Carlo method and polynomial chaos expansion, are given here.


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References


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DOI: http://dx.doi.org/10.24193/subbmath.2019.2.02

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