The theoretical electricity consumption is 268.179 kilowatt-hours per metric tonne.
The theoretical minimum of electricity consumption is 60.340 % of the practical minimum of electricity consumption.
The theoretical electricity consumption is equal to the sum of sensible heat ([tex]q_{s}[/tex]) and latent heat ([tex]q_{l}[/tex]) needed to melt a metric ton of steel, in kilowatt-hours per metric tonne:
[tex]q = q_{s}+q_{l}[/tex] (1)
By definitions of sensible and latent heat, we have the following formulas:
[tex]q = c\cdot (T_{f}-T_{o}) + L_{f}[/tex] (1)
Where:
If we know that [tex]c = 1.294\times 10^{-1}\,\frac{kWh}{ton\cdot ^{\circ}C}[/tex], [tex]T_{o} = 20\,^{\circ}C[/tex], [tex]T_{f} = 1500\,^{\circ}C[/tex] and [tex]L_{f} = 76.667\,\frac{kWh}{ton}[/tex], then the theoretical electricity consumption is:
[tex]q = \left(1.294\times 10^{-1}\,\frac{kWh}{ton\cdot ^{\circ}C} \right)\cdot (1500\,^{\circ}C-20\,^{\circ}C)+76.667\,\frac{kWh}{ton}[/tex]
[tex]q = 268.179\,\frac{kWh}{ton}[/tex]
The theoretical electricity consumption is 268.179 kilowatt-hours per metric tonne. [tex]\blacksquare[/tex]
According to the document "Theoretical Minimum Energies to Produce Steel for Selected Conditions" done by R.J. Fruehan et al. in March 2000. The practical minimum of electricity consumption for a electric arc furnace (EAF) is:
[tex]q_{real, min} = 444.444\,\frac{kWh}{ton}[/tex]
This indicator consider common energy losses throughout steel production.
The theoretical minimum of electricity consumption is 60.340 % of the practical minimum of electricity consumption. [tex]\blacksquare[/tex]
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