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There are 2 generating units with cost equal to 0.016 P,?+ 2.187 P1+120.312 and 0.019 P22+...
Consider two generating units with input-output curves Unit 1: coal-red steam unit: H1 (P1) = 500...
Consider two generating units with input-output curves Unit 1: coal-red steam unit: H1 (P1) = 500 + 8P1 Unit 2: gas turbine: H2 (P2) = 210 + 7P2 and operating limits Unit 1: 150< P1 < 500 MW Unit 2: 100 < P2 < 250 MW Suppose the fuel costs are Coal: $3.50/MBtu Gas: $2.50/MBtu and the load is L = P1 + P2 = 600 MW. Both units are on so that unit 1 must supply at least 150...
4.4 You are given three generating units and asked to find the optimal unit commit- ment...
4.4 You are given three generating units and asked to find the optimal unit commit- ment schedule for the units to supply load over a 4-h time period. our MW Load 400 1000 1600 400 Gen 1: F(P) 2200+25P 0.025xP2 where 220s P, s600 MW Gen 2: F2(P)1500+P +0.02 x P2 where 350sP2s800MW Gen 3: F, B-l 000 + 20P, + 0.0 1 5 × P where 150 P, 600 Each generator has a start-up cost that must be factored...
Economic dispatch. The fuel cost function in dollars / hour of two thermal plants is C1=320+6.2...
Economic dispatch. The fuel cost function in dollars / hour of two thermal plants is C1=320+6.2 P1+0.004 P1^2 C2=200+6.0 P2+0.003 P2^2 where P1 and P2 are in MW. Plant outputs are subject to the following constraints: 50 ≤ P1 ≤ 250 50 ≤ P2 ≤ 350 On a 100MVA base, the per unit real power loss is PL = 0.0125 P1^2+ 0.00625 P2^2 The total load is 412.35MW. Determine the optimal dispatch of generation.
Problem 2 The fuel-cost function in $/h of two thermal plants are ?1 = 320 +...
Problem 2 The fuel-cost function in $/h of two thermal plants
are ?1 = 320 + 6.2?1 + 0.004?1 2 , ?2 = 200 + 6.0?2 + 0.003?2 2 ,
where ?1 and ?2 are in MW. Plant outputs are subject to the
following limits (in MW)
Problem 2 The fuel-cost function in $/h of two thermal plants are C1 = 320 +6.2P2 +0.004P], C2 = 200 +6.0P2 + 0.003P2, where P and P2 are in MW. Plant outputs are...
Assume that we have the following fuel-cost curves for two generating units: Ci(PGI) = 500 +46...
Assume that we have the following fuel-cost curves for two generating units: Ci(PGI) = 500 +46 PG1 +0.008 PG. 150 <PG < 500 MW Cz(PG2) = 450+40 PG2 +0.001 PG22 100 P625 600 MW Network losses are related to the generator powers as follows; Pu=0.0008P6r+0.0004 PGZ- Find the optimal dispatch of units and the total cost in dollars/hr when the total load, Pp, is 600 MW.
a) The fuel costs of two operating units are as follows: c1=0.05P12 + 25p1+400 US$/hr c2=0.1P22 + 25p2+350 US$/hr If given that the minimum and maximum powers are 10MW and 1000MW for each unit, compar...
a) The fuel costs of two operating units are as follows: c1=0.05P12 + 25p1+400 US$/hr c2=0.1P22 + 25p2+350 US$/hr If given that the minimum and maximum powers are 10MW and 1000MW for each unit, compare the cost of the allocation of generation(dispatch) through an optimal strategy against an equal-share of generation strategy for a load of 100MW. Hence calculate the net loss/gain of the optimal strategy against the equal-share strategy b) The load for the power system consisting of two...
Please do problem #2. I posted both problems 1 and 2 because problem 2 is based...
Please do problem #2. I posted both problems 1 and 2 because
problem 2 is based on problem 1. Please do part a,b and c. Label
each part clearly
(5 points) Given below are the cost curves of 5 generators which are to supply a load of 750 MW: 1. fi -0.01 Pa2+2 Pa+50 f 0.005 P24 P2 +200 f 0.0075 P+1.5 Pe3 +10 S/h f4-0.04 Pgs 0.5 P4+ 150 fs-0.003 P +3 Pgs+ 12S/h S/h S/h S/h Assume that...
Problem 2 -The fuel-cost curves for a three-generator po system are given as follows: Ax10 P...
Problem 2 -The fuel-cost curves for a three-generator po system are given as follows: Ax10 P C2(P2)-600+ 10xP2+0.3 xP2 Ca(Ps)900+ 15xP3+0.1x P, The system losses in MW can be approximated as: P 10 If the system is operating with a marginal cost(λ) of $50/hr, dete (a) The output of each unit, (b) The total transmission losses cost (A) of SSO/hr, determin10% Pf+ 10% P3, 4x104 P1 P2 (c) The total load demand, (d) The total operating cost.
a) Formulate a cost function along with constraints, if any, for the following optimization problems. You don't nee...
a) Formulate a cost function along with constraints, if any, for the following optimization problems. You don't need to solve any of these problems. i) Two electric generators are interconnected to provide total power to meet the load. Suppose each generator's cost (C) is a function of its power output P (in terms of units), and costs per unit are given by: C2 = 1 + 0.6P2 + P22 (for Generator 2). -1-P -Pi2 (for Generator 1), If the total...
formulate a cost function alone with constraints ,dobt need to solve it. two electric generators are interconnected to...
formulate a cost function alone with constraints ,dobt need to solve it. two electric generators are interconnected to provide total power to meet the load. suppose each generatir’s cost C is a function of its power output P, and costs per unit are given by : C1=1- P1-P1^2 for generator 1. C2=1+0.6 P2+ P2^2 for generator 2. if the total power needed is at least 60 units, formulate a min-cost design problem to determine the power outputs P1 and P2...
4.4 You are given three generating units and asked to find the optimal unit commit- ment schedule for the units to supply load over a 4-h time period. our MW Load 400 1000 1600 400 Gen 1: F(P) 2200+25P 0.025xP2 where 220s P, s600 MW Gen 2: F2(P)1500+P +0.02 x P2 where 350sP2s800MW Gen 3: F, B-l 000 + 20P, + 0.0 1 5 × P where 150 P, 600 Each generator has a start-up cost that must be factored...
Problem 2 The fuel-cost function in $/h of two thermal plants
are ?1 = 320 + 6.2?1 + 0.004?1 2 , ?2 = 200 + 6.0?2 + 0.003?2 2 ,
where ?1 and ?2 are in MW. Plant outputs are subject to the
following limits (in MW)
Problem 2 The fuel-cost function in $/h of two thermal plants are C1 = 320 +6.2P2 +0.004P], C2 = 200 +6.0P2 + 0.003P2, where P and P2 are in MW. Plant outputs are...
Assume that we have the following fuel-cost curves for two generating units: Ci(PGI) = 500 +46 PG1 +0.008 PG. 150 <PG < 500 MW Cz(PG2) = 450+40 PG2 +0.001 PG22 100 P625 600 MW Network losses are related to the generator powers as follows; Pu=0.0008P6r+0.0004 PGZ- Find the optimal dispatch of units and the total cost in dollars/hr when the total load, Pp, is 600 MW.
Please do problem #2. I posted both problems 1 and 2 because
problem 2 is based on problem 1. Please do part a,b and c. Label
each part clearly
(5 points) Given below are the cost curves of 5 generators which are to supply a load of 750 MW: 1. fi -0.01 Pa2+2 Pa+50 f 0.005 P24 P2 +200 f 0.0075 P+1.5 Pe3 +10 S/h f4-0.04 Pgs 0.5 P4+ 150 fs-0.003 P +3 Pgs+ 12S/h S/h S/h S/h Assume that...
Problem 2 -The fuel-cost curves for a three-generator po system are given as follows: Ax10 P C2(P2)-600+ 10xP2+0.3 xP2 Ca(Ps)900+ 15xP3+0.1x P, The system losses in MW can be approximated as: P 10 If the system is operating with a marginal cost(λ) of $50/hr, dete (a) The output of each unit, (b) The total transmission losses cost (A) of SSO/hr, determin10% Pf+ 10% P3, 4x104 P1 P2 (c) The total load demand, (d) The total operating cost.
a) Formulate a cost function along with constraints, if any, for the following optimization problems. You don't need to solve any of these problems. i) Two electric generators are interconnected to provide total power to meet the load. Suppose each generator's cost (C) is a function of its power output P (in terms of units), and costs per unit are given by: C2 = 1 + 0.6P2 + P22 (for Generator 2). -1-P -Pi2 (for Generator 1), If the total...
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