Question 2:

Formulate the optimal power flow problem for a 3-bus system shown below. use the data from

the first problem and allocate resources however you like, i.e., you have freedom in choosing

which generator is connected to node 1 (out of 4,6, and 10MW options in problem 1).

• On bus 1, consider 1 generator, 1 PV and 1 wind

• On bus 2, consider 1 generator, 1 Pv, and 1 battery

• On bus 3, consider 1 generator, 1 PV, 1 battery, and 1 wind turbine.

• Distribute the load from first problem equally between nodes 2 and 3

• For line parameters, consider them to be purely inductive with impedance j1 2.

Formulate the optimal power flow and run it on a weekly basis for the same load data and

parameters used in the first problem. Plot the dispatch of units (area and individual graphs

representing the power dispatch of each unit) over 24 hours and on a weekly basis (two

separate cases, one only 24 hours, another one for 1 week). Analyze the results and justify

them.