Figure $1$: Power system with an internal bus. G$=($R$)/($R$^(2)+$X$^(2)),$B$=($X$)/($R$^(2)+$X$^(2))$

Figure $1$ represents a $5$ bus system. Solve the power flow problem and determine all the bus voltages,

the power generated by the slack bus and the total real power loss in the system.

Increase the load at Bus $3$ and Bus $4$ incrementally and run the power flow. Does power flow stop to

converge? If so$,$ at what point does power flow stops to converge? Explain why.

In an attempt to improve the voltages at the load buses $3$ and $4,$ it is decided to install a generator at

node $5$ whose only purpose is to increase the load voltages and not to produce any power. As a result, the

system is changed as shown in figure $2.$ What is the impact of the generator if the voltage at bus $5$ is

raised to $1\mathrm{.}1$ per units?

In an attempt to reduce flows in the system, it is decided to meet the demand at bus $4$ from bus $2$ by

changing the power generation at bus $2$ equal to the real power load at bus $4.$ As a result, the system is

changed as shown in figure $3.$ What is the impact of the generation change if the voltage at bus $5$ is still

kept at $1\mathrm{.}1$ per units?

Just answer $234$