Example: Toffee Production#
This examples how the load profile of a toffee production process can be modelled. The processes modelled is a simplified version of the toffee production process described in [5] S.~32
Fig. 11 Description of the toffee production process [5] S.~32 .#
ETHOS.PeNALPS Model#
Fig. 12 Model of batch toffee production based on the process description in#
Capacity Parameters#
A demonstrative correlation for capacities and and throughput of toffee machines is provided manufacturer CHOCOTECH. [6] For their Machine Carastar they provide
Capacity 180 kg/h Batch Size 60
Capacity 400 kg/h Batch Size 130
Capacity 500 kg/h Batch Size 170
Capacity 750 kg/h Batch Size 250
The data shows that the capacity is approximately three times batch size. The example models batch size of 130 kg and a capacity of 390 kg/h. By dividing capacity/batch size a turnover time of about 20 minutes is calculated. It is assumed that step 1-4 are conducted in the toffee machine. The individual process time are assumed so that the total turnover time is 20 minutes:
Input of materials / 2 minutes
Dissolving of sugars, Form Emulsions (Mixing) /4 Minutes
Cooking to the desired concentration (Cooking) /10 Minutes
Cooling / 2 Minutes
Output of materials / 2 minutes
The capacity of the cutting and packaging machine is assumed to be 780 kg/h so that is matches the capacity of both toffee machines.
Energy Demands#
Mass specific energy demands are required for each state of a machine.
aThese are often not directly available and thus must be calculated and estimated from other energy related values. Energy demands are required for the states of the toffee machine and the packaging and cutting machine.
Toffee Machine#
For the toffee machine the energy data was not available for each state.
Heat Demand Toffee Machine#
Thus it is estimated based on a cumulated value of 1.25 GJ/ton= [7] S.~185.
Electricity Demand Toffee Machine#
42 kWh/ton = 151.2 MJ/ton
Input of materials / 5 % / 7.56 MJ/ton
Dissolving of sugars, Form Emulsions (Mixing) /60 % /90.72 MJ/ton
Cooking to the desired concentration (Cooking) /20 % / 30.24 MJ/ton
Cooling / 2 Minutes / 10 % / 15.12 MJ/ton
Output of materials / 5 % /7.56 MJ/ton
2.2kW peak [7] S.~187 Batch confectioner
Packaging and Cutting Machine#
3 kW peak [7] S.~187 The cutting wrapping and packaging line is modelled as two sequential machines and stream conveyor belt. It is assumed that the packaging lines constantly works at peak power. This leads to a total specific energy demand of 13.846 MJ/ton. This is disaggregation onto the modeling objects as follow.
Cutting Machine / 45% / 6.2307 MJ/ton
Packaging Machine / 45% / 6.2307 MJ/ton
Conveyor bel / 10% / 1.3846 MJ/ton