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lecture9- Generation with Limited Energy Supply

lecture9- Generation with Limited Energy Supply - EEL 6266...

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EEL 6266 Power System Operation and Control Chapter 6 Generation with Limited Energy Supply
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© 2002, 2004 Florida State University EEL 6266 Power System Operation and Control 2 Generation with Limited Energy Supply circle6 Economic operation requires that expenditures for fuel be minimized over a period of time rhombus4 condition #1: no limitation on fuel supply circle6 economic dispatch using only the present conditions as the data rhombus4 condition #2: energy resources available at a particular plant is a limiting factor in operations circle6 economic dispatch calculations must account for what has happened before and what will happen in the future rhombus4 examples include limited fuel supplies, fix cost fuels, take-or- pay contracts, surplus fuels, etc.
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© 2002, 2004 Florida State University EEL 6266 Power System Operation and Control 3 Generation with Limited Energy Supply circle6 Take-or-pay fuel supply contracts rhombus4 consider a system with N classical thermal plants and one turbine generator fueled under a take-or-pay agreement circle6 the utility agrees to use a minimum amount of fuel over a contracted time period in order to purchase at a bulk price circle6 if the utility fails to use the minimum amount, it agrees to pay the minimum charge for the minimum amount rhombus4 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 circle6 once the min. fuel amount is used, the unit is scheduled normally square4 as a simplification, we will let the maximum fuel consumption is equal to the minimum amount
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© 2002, 2004 Florida State University EEL 6266 Power System Operation and Control 4 Generation with Limited Energy Supply circle6 Take-or-pay fuel supply contracts rhombus4 consider an N + 1 unit system with operation over j max time intervals, and let: circle6 P ij = unit i power output at time j circle6 F ij = cost for unit i for interval j circle6 q Tj = fuel input for unit T at time j circle6 F Tj = cost for unit T for interval j circle6 P load j = total load at time j circle6 n j = number of hours in interval j rhombus4 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 0 0 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
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© 2002, 2004 Florida State University EEL 6266 Power System Operation and Control 5 Generation with Limited Energy Supply circle6 Take-or-pay fuel supply contracts rhombus4 ignoring for the moment the generator limits, the term is a constant because the total fuel to be used at plant T is fixed circle6 the total fuel cost of that fuel is constant and is dropped from the Lagrange function circle6 the independent variables are the powers P ij and P Tj circle6 for any given time period, j = k = max 1 j j j T j F n ( 29 - + - - + =
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