Q1. A generation system has three units with the following cost characteristics as shown below.C1(P1) = 100 + 3 P1 + 0.01 P1²C2(P2) = 250 + 2.5 P2 + 0.005 P:2C3(P3) = 500 + 2 P3 + 0.0025 P3?a) The generation company's own system demand is 950 MW each and if the market price is$5/MWh find Buy – Sell decision for each unitb) If the market price changed to $7/MWh, find Buy – Sell decision for each unitNote: U1, U1, U1 capacities are as follows 1200MW, 1500MW and 1600MWQ2. Following is the arrangement of buy/sell bids received by an energy broker. The four utilities aredonated by U1, U2, U3, and U4 with appropriate capabilities for generating and consuming power150120-U4-100U4-60-U230-U1--U1Quantity, Mw30 50100125200

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Q1. A generation system has three units with the following cost characteristics as shown below. C1(P1) = 100 + 3 P1 + 0.01 P1² C:(P:) = 250 + 2.5 P2 + 0.005 P:? C3(P3) = 500 + 2 P3 + 0.0025 P3? a) The generation company's own system demand is 950 MW each and if the market price is $5/MWh find Buy – Sell decision for each unit b) If the market price changed to S7/MWh, find Buy – Sell decision for each unit Note: U1, U1, U, capacities are as follows 1200MW, 1500MW and 1600MW

Q1. A generation system has three units with the following cost characteristics as shown below. C1(P1) = 100 + 3 P1 + 0.01 P1² C:(P:) = 250 + 2.5 P2 + 0.005 P:? C3(P3) = 500 + 2 P3 + 0.0025 P3? a) The generation company's own system demand is 950 MW each and if the market price is $5/MWh find Buy – Sell decision for each unit b) If the market price changed to S7/MWh, find Buy – Sell decision for each unit Note: U1, U1, U, capacities are as follows 1200MW, 1500MW and 1600MW

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Q1. A generation system has three units with the following cost characteristics as shown below.
C1(P1) = 100 + 3 P1 + 0.01 P1²
C2(P2) = 250 + 2.5 P2 + 0.005 P:2
C3(P3) = 500 + 2 P3 + 0.0025 P3?
a) The generation company's own system demand is 950 MW each and if the market price is
$5/MWh find Buy – Sell decision for each unit
b) If the market price changed to $7/MWh, find Buy – Sell decision for each unit
Note: U1, U1, U1 capacities are as follows 1200MW, 1500MW and 1600MW
Q2. Following is the arrangement of buy/sell bids received by an energy broker. The four utilities are
donated by U1, U2, U3, and U4 with appropriate capabilities for generating and consuming power
150
120
-U4-
100
U4-
60
-U2
30
-U1-
-U1
Quantity, Mw
30 50
100
125
200

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