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Unformatted text preview: EEL 6266 Power System Operation and Control Chapter 6 Generation with Limited Energy Supply © 2002, 2004 Florida State University EEL 6266 Power System Operation and Control 2 Generation with Limited Energy Supply c Economic operation requires that expenditures for fuel be minimized over a period of time r condition #1: no limitation on fuel supply c economic dispatch using only the present conditions as the data r condition #2: energy resources available at a particular plant is a limiting factor in operations c economic dispatch calculations must account for what has happened before and what will happen in the future r examples include limited fuel supplies, fix cost fuels, takeor pay contracts, surplus fuels, etc. © 2002, 2004 Florida State University EEL 6266 Power System Operation and Control 3 Generation with Limited Energy Supply c Takeorpay fuel supply contracts r consider a system with N classical thermal plants and one turbine generator fueled under a takeorpay agreement c the utility agrees to use a minimum amount of fuel over a contracted time period in order to purchase at a bulk price c if the utility fails to use the minimum amount, it agrees to pay the minimum charge for the minimum amount r while this unit’s cumulative fuel consumption is below the minimum, the system is schedule to minimize the total cost, subject to the constraint that the total fuel consumption for the period for this unit is equal to a specified amount c once the min. fuel amount is used, the unit is scheduled normally s as a simplification, we will let the maximum fuel consumption is equal to the minimum amount © 2002, 2004 Florida State University EEL 6266 Power System Operation and Control 4 Generation with Limited Energy Supply c Takeorpay fuel supply contracts r consider an N + 1 unit system with operation over j max time intervals, and let: c P ij = unit i power output at time j c F ij = cost for unit i for interval j c q Tj = fuel input for unit T at time j c F Tj = cost for unit T for interval j c P load j = total load at time j c n j = number of hours in interval j r then the problem is defined as 1 2 3 T P 1 P 2 P N F 1 F 2 F N P T F T P load min 1 , 1 1 1 1 max max max = = = = + ∑ ∑ ∑ ∑ ∑ = = = = = Tj N i ij j load j total j j Tj j j j Tj j j j N i ij j P P P q q n F n F n ψ φ © 2002, 2004 Florida State University EEL 6266 Power System Operation and Control 5 Generation with Limited Energy Supply c Takeorpay fuel supply contracts r ignoring for the moment the generator limits, the term is a constant because the total fuel to be used at plant T is fixed c the total fuel cost of that fuel is constant and is dropped from the Lagrange function c the independent variables are the powers P ij and P Tj c for any given time period, j = k ∑ = max 1 j j j T j F n ( 29  +  + = ∑ ∑ ∑ ∑ ∑ = = = = = total j j j T j j j N i j T j i j load j N...
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This note was uploaded on 07/15/2011 for the course EEL 6266 taught by Professor Thomasbaldwin during the Fall '04 term at FSU.
 Fall '04
 THOMASBALDWIN

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