Linear Programming about Energy Equilibrium of a Country

Linear Programming about Energy Equilibrium of a Country?
=====1.Lignite Factories ======
Fuel Cost : 8$/MWh (fixed)
Max available quantities annually : 120 TWh (Tera Watt Hours) and in 2005: 90TWh
Index for units existing in 2005 : (3GWh lignite) / (1 GWh electricity)
Index for new investments : (2,7 GWh lignite) / (1 GWh electricity)
Capital Cost for units existing in 2005 : 1350$/KW
Capital Cost for new investments : 1650$/KW
In 2005 there were 4500 MW of lignite factories.

=====2.Natural Gas ======
Fuel Cost (2005): 18$/MWh (+2% increase every yea)
Max available quantities annually : 90 TWh (Tera Watt Hours) and in 2005: 25TWh
Index for units existing in 2005 : (2.2 GWh nat.gas) / (1 GWh electricity)
Index for new investments : (2 GWh nat.gas) / (1 GWh electricity)
Capital Cost for units existing in 2005 : 750$/KW
Capital Cost for new investments : 550$/KW
In 2005 there were 2500 MW of natural gas factories.

=====3.Hydro Factories ======
Max electricity produced annually : 4000 GWh
Index for units existing in 2005 : (1 GWh water) / (1 GWh electricity)
Index for new investments : (1 GWh water) / (1 GWh electricity)
Capital Cost for units existing in 2005 : 1850$/KW
Capital Cost for new investments : 2500$/KW
In 2005 there were 3000 MW of hydro factories.

=====4. Wind Stations ======
Max possible investments (generally) : 2000 MW
Max electricity produced annually : 2300 MWh per MW wind station
Index for units existing in 2005 : -
Index for new investments : (1 GWh air) / (1 GWh electricity)
Capital Cost for units existing in 2005 : -
Capital Cost for new investments : 1000$/KW

=====5. Imports of Electricity======
Max possible that can be imported (not only annually) : 500 MW
Max imported electricity annually : 1500 GWh
Cost 0...100 MW : 35$/MWh
Cost 100...200MW: 49$/MWh
Cost 200..300 MW: 68,6 $/MWh
Cost 300...400 MW : 96 $/MWh
400...500 MW : 134,5 $/MWh

=====Electricity Demand======
In 2005 : 50 TWh (+4% increase annually)
Peak : 9500 MW
Base Demand: 4300 MW (duaration 3650 h)
Other demands : 6520 MW (duration 4610 h) , 8500 MW (500 h)
In case demand is not met, then there will be load cuts (cost 500$/MWh)

CREATE LP PROGRAM FOR BEST USE OF ELECTRIC SYSTEM FOR YEARS 2005, 2010, 2015 AND 2020.
amazonian
Asked Dec 19, 2009

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