Instructions

Write a formal professional report, documenting all steps and replying to the questions clearly and neatly. Submit a PDF document. The questions below should be used as a logic sequence for writing your report. $($Do not simply reply to the questions, you will have points taken away for that.$)$

Consider the five$-$bus power system illustrated below. The network parameters are given in Tables $1$ and $2.$ Assume the power base is $100$ MVA and the base voltage at bus $1$ is $23$ kV $,$ at buses $2,3,4$ and $5$ is $230$ kV and $18$ kV at bus $6.$

Table $1$: Generator Limits.

$\backslash$table$[[$Bus$,P_{\text{G}\text{m}\text{i}\text{n}}($p$.$u$),$ p$.$u$),Q_{\text{G}\text{m}\text{i}\text{n}}($p$.$u$),Q_{\text{G}\text{m}\text{a}\text{x}}($p$.$u$)],[1,0,4\mathrm{.}5,-5\mathrm{.}0,5\mathrm{.}0],[6,0,3\mathrm{.}2,-4,4]]$

Table $2$: Line input data.

$\backslash$table$[[\backslash$table$[[$Bus$-$to$-],[$Bus$]],$R $($p$.$u$),$ p$.$u$),$ p$.$u$),$ p$.$u$),\backslash$table$[[$Maximum$],[$MVA $($p$.$u$)]]],[2-3,0\mathrm{.}01,0\mathrm{.}1,0,0\mathrm{.}012,1\mathrm{.}5],[2-4,0\mathrm{.}0074,0\mathrm{.}02,0,0\mathrm{.}1,3\mathrm{.}0],[3-5,0\mathrm{.}0062,0\mathrm{.}037,0,0\mathrm{.}076,2\mathrm{.}2],[4-5,0\mathrm{.}0127,0\mathrm{.}064,0,0\mathrm{.}128,1\mathrm{.}0]]$

Table $3$: Transformer input data.

$\backslash$table$[[\backslash$table$[[$Bus$-$to$-],[$Bus$]],$R $($p$.$u$),$X $($p$.$u$),$ p$.$u$),$ p$.$u$),\backslash$table$[[$Maximum$],[$MVA $($p$.$u$)]]],[1-2,0\mathrm{.}002,0\mathrm{.}02,0,0,5\mathrm{.}0],[5-6,0\mathrm{.}012,0\mathrm{.}01,0,0,4\mathrm{.}5]]$

Consider initially the system is under a light loading scenario, as described in Table $4.$

Table $4$: Light load scenario

$\backslash$table$[[$Bus$,$V$($p$.$u$),($deg$),P_{Gi}($p$.$u$),$Q ${?}_{Gi}($p$.$u$),P_{Li}($p$.$u$),$Qui$($p$.$u$)],[1,1,0,-,-,0,0],[2,-,-,0,0,0\mathrm{.}2,0\mathrm{.}12],[3,-,-,0,0,0\mathrm{.}5,0\mathrm{.}3],[4,-,-,0,0,0\mathrm{.}92,0\mathrm{.}28],[5,-,-,0,0,0\mathrm{.}3,0\mathrm{.}2],[6,1\mathrm{.}01,-,1\mathrm{.}2,-,0,0]]$

For each bus i $,$ inform the type and determine which of the variables $V_{i,},{}_i,P_i$ and $Q_i,$ are known $-$ with their respective values $-$ and which ones are unknowns.

Create the system in Power World and find the power flow solution using N$-$R algorithm. Include a screenshot of the program in the Edit Mode $($i$.$e$.$ when you are done creating the system$)$ and in the Run Mode.

Report the bus and line status for the system using tables. For bus information include the voltage magnitude $($both in kV and p$.$u$),$ phase angle$($in degrees$),$ the load $($in MW and Mvar$)$ and the generation $($in MW and Mvar$).$ For the branches $($lines and transformers$)$ include the flow $($in MW and MVar$),$ the MVA limits$,$ how loaded each branch is $($in $\%)$ and the losses $($in MW and MVar$).$