Consider an IEEE $9$ bus power grid with generators located at nodes $1,2$ and $3.$ The loads demand is located at nodes $5,7$ and $9.$ The network topology is as shown in figure below.

The data for this topology can be found in the attached files:

Bus: Consists of node number $($bus$\_$i$)$ and load demand in MW $($Pd$)$ at each node.

Branch: Consists of from node $($fbus$)$ to node $($tbus$),$ and maximum capacity the line can transfer in MW $($MaxCap$).$

Gen: Consists of node number at which generator is located $($bus$),$ Maximum power that it can supply $($Pmax$)$ in MW$,$ minimum power that it can supply $($Pmin$)$ in MW$,$ and the cost of each generator $($$$/$MW$)$ is given by $ax+b,$ where $x$ is the total power produced by the generator in MW $($Note: b represents Fixed Cost and a represents operational cost$).$ Also, here, FP represents the carbon footprint that is kg of CO $2$ equivalent per $CO\frac{2}{M}W)$ the generator produces.

Read data from the text files provided.

Q$1$: Using code to import all text files into the system to avoid "hard coding" the parameters in your program and show the imported results, such as dictionary, list you generated. Solving the following questions using those data read from the files.

Q$2$: Optimal power flow model to minimize the cost $($without considering line capacity limits$)$