power system辅导、讲解CS/python, C/C++编程语言、Matpower case辅导

Assignment description:

In this assignment, you are required to perform market analysis of a test power system

consisting of 3 generators and 9 buses. The system parameters of this test system will

be released in a Matpower case file “case9.m”. In this system, 3 generators are located

at bus 1, 2 and 3, while three loads are connected at bus 5, 7 and 9.

The real and reactive power demands of three loads are already given in the case file.

Suppose these are the demands at 5:00PM. We further assume that at 9:00AM, the

demands are 0.8 times of the demands at 5:00PM; and at 8:00PM, the demands are 1.2

times of the demands at 5:00PM.

The costs of three generators are already given in the case file in the form of piece-wise

linear functions.

Based on this test system and the above information, you are required to finish the

following tasks:

(1) If all three generators are bidding at their costs, calculate the spot prices of all buses

at 9:00AM, 5:00PM and 8:00PM.

(2) Suppose you are representing generator 1, while generator 2 and 3 will bid at their

costs. To maximize the profits of generator 1, what would be its optimal bidding

strategies at 9:00AM, 5:00PM and 8:00PM?

(3) Bonus question: suppose the demands of three loads are not fixed but random

variables following normal distributions. Assume that their means are the demands

given above, while they all have a 5% standard deviation. What would be the optimal

bidding strategies of generator 1 at 9:00AM, 5:00PM and 8:00PM? If generator 1 wants

to hedge its trading risk using swaps, what would be the amount of energy and price he

should sell at 9:00AM, 5:00PM and 8:00PM? If you have successfully answered this

question, your grade in this assignment will be your raw grade × 140%.