Two power system control areas A$1$ and A$2$ are interconnected by a tie$-$line and have the following control parameters based on $1000$ MW base and $50$ Hz frequency base.

$$

A$1$A$2$Governor Regulation R $($pu frequency $/$pu power$)0\mathrm{.}050\mathrm{.}06$Load Damping D$($pu power $/$pu frequency$)1\mathrm{.}51\mathrm{.}6$

$$

The control area A$1$ has a total generation of $2000$ MW and a total load of $1700$ MW while the control area A$2$ has a total generation of $2700$ MW and a total load of $3000$ MW$.$

When the two areas operate interconnected,$$in area A$1$ a $100$ MW generator suddenly trips while in area A$2$ a $100$ MW load is suddenly switched on$.$

Noting that the governor regulation and load damping are defined by;$$