Energy Input Electric Arc Furnace Calculator

Detailed Description

This calculator estimates the total chemical energy input and total heat delivered to an EAF, including contributions from natural gas, coal/carbon injection, electrodes, other fuels, and electricity. It uses standard unit conversions and accounts for all major energy sources supplied to the furnace.

The calculation follows a top-down approach:

1. Total Heat Delivered - Sum of chemical energy and electrical energy inputs
2. Total Chemical Energy Input - Sum of all chemical fuel sources (natural gas, coal, electrodes, other fuels)

Relevant formulas are documented below.

Total Heat Delivered

---

Total heat delivered to the electric arc furnace.

The total heat delivered is the sum of chemical energy from combustion and electrical energy supplied to the furnace.

\begin{equation}\label{eq:eaf-heat-delivered} Q_\text{delivered} = Q_\text{chem} + Q_\text{elec}\end{equation}

Symbols

\(Q_\text{delivered}\)	Total heat delivered to EAF \([\unit{ \btu\per\hour}]\)
\(Q_\text{chem}\)	Total chemical energy input \([\unit{ \btu\per\hour}]\)
\(Q_\text{elec}\)	Electric power supplied \([\unit{ \btu\per\hour}]\)

Total Chemical Energy Input

---

Total chemical energy input from all fuel sources.

The total chemical energy is the sum of heat input from natural gas, coal/carbon injection, electrode consumption, and other fuels. Each fuel contribution is calculated by multiplying mass flow rate by its heating value.

\begin{equation}\label{eq:eaf-chemical-energy-input} Q_\text{chem} = Q_\text{ng} + m_\text{coal} c_\text{coal} + m_\text{elec} c_\text{elec} + Q_\text{other}\end{equation}

Symbols

\(Q_\text{chem}\)	Total chemical energy input \([\unit{ \btu\per\hour}]\)
\(Q_\text{ng}\)	Natural gas heat input \([\unit{ \btu\per\hour}]\)
\(m_\text{coal}\)	Mass of coal/carbon injection \([\unit{ \pound\per\hour}]\)
\(c_\text{coal}\)	Heating value of coal/carbon \([\unit{ \btu\per\pound}]\)
\(m_\text{elec}\)	Electrode use \([\unit{ \pound\per\hour}]\)
\(c_\text{elec}\)	Electrode heating value \([\unit{ \btu\per\pound}]\)
\(Q_\text{other}\)	Other fuel heat input \([\unit{ \btu\per\hour}]\)

See also

physics::conversions::kKilowattToBtuPerHour for electrical energy conversion

Modules
	Energy Input Electric Arc Furnace Heat Delivered Formula
	Total heat delivered to the electric arc furnace.
	Energy Input Electric Arc Furnace Formula
	Total chemical energy input from all fuel sources.

Files
file	energy_input_electric_arc_furnace.h

Namespaces
namespace	energy_input_electric_arc_furnace
	Calculates total energy input and heat delivered for electric arc furnaces (EAF).

Functions
double	energy_input_electric_arc_furnace::totalChemicalEnergyInput (double natural_gas_heat_input, double coal_carbon_injection, double coal_heating_value, double electrode_use, double electrode_heating_value, double other_fuels)
	Calculates the total chemical energy input for an Electric Arc Furnace (EAF).
double	energy_input_electric_arc_furnace::totalHeatDelivered (double total_chemical_energy_input, double electricity_input)
	Calculates the total heat delivered to the EAF.

Function Documentation

totalChemicalEnergyInput()

double energy_input_electric_arc_furnace::totalChemicalEnergyInput	(	double	natural_gas_heat_input,
		double	coal_carbon_injection,
		double	coal_heating_value,
		double	electrode_use,
		double	electrode_heating_value,
		double	other_fuels
	)

Computes the total chemical energy input from natural gas, coal/carbon injection, electrodes, and other fuels.

Parameters

[in]	natural_gas_heat_input	Total heat input from natural gas \([\unit{\mega\mega\btu\per\hour}]\)
[in]	coal_carbon_injection	Mass of coal/carbon injection \([\unit{\pound\per\hour}]\)
[in]	coal_heating_value	Heating value of coal/carbon \([\unit{\btu\per\pound}]\)
[in]	electrode_use	Electrode use \([\unit{\pound\per\hour}]\)
[in]	electrode_heating_value	Electrode heating value \([\unit{\btu\per\pound}]\)
[in]	other_fuels	Heat supplied from other sources \([\unit{\mega\mega\btu\per\hour}]\)

Returns

Total chemical energy input \([\unit{\btu\per\hour}]\)

totalHeatDelivered()

double energy_input_electric_arc_furnace::totalHeatDelivered	(	double	total_chemical_energy_input,
		double	electricity_input
	)

Computes the total heat delivered to the EAF, including electric power supplied.

Parameters

[in]	total_chemical_energy_input	Total chemical energy input \([\unit{\btu\per\hour}]\)
[in]	electricity_input	Total electric power supplied \([\unit{\kilowatt\hour\per\hour}]\)

Returns

Total heat delivered to EAF \([\unit{\btu\per\hour}]\)