$\backslash (3^\{\backslash$text $\{$rd $\}\}\backslash )$ Exercise: $\backslash ($ A $\backslash )$ wind farm connected to the grid.

We consider a wind farm connected to the grid by a stepper transformer and a $63$ kV line. The nominal values are given in the table below. The generators have beenmerged in one single unit:

We assume that the generator voltage is controlled at its nominal value. The generator's active power output is $18$ MW$.$ The grid is modeled as an infinite bus whose voltage is constant at $63$ kV $.$

$3\mathrm{.}1)$ Draw the single$-$phase diagram of the installation.

$3\mathrm{.}2)$ Identify the type of the $3$ nodes.

Determine:

$3\mathrm{.}3)$ The values of the serial reactance and resistance of the transformer, considered at the high voltage side

$3\mathrm{.}4)$ The value of the total admittance between the generators and the grid.

$3\mathrm{.}5)$ The angle deviation between voltage at the wind farm and voltage at the grid's bus,

$3\mathrm{.}6)$ The reactive power provided by the generator,

$3\mathrm{.}7)$ The power factor of the generator. Compare it to its nominal value.

$3\mathrm{.}8)$ The values of the active and reactive power injected in the grid.

$3\mathrm{.}9)$ Now, the generators are increasing their reactive power output. What is the consequence on the bus where the generators are connected?